tag:blogger.com,1999:blog-42821454497355799332024-03-18T00:19:52.690-07:00Mathematics Teacher Education: Singapore ApproachThis blog is about teacher professional development courses that I conduct in Singapore and other countries.Dr Yeap Ban Harhttp://www.blogger.com/profile/14995827943531633736noreply@blogger.comBlogger488125tag:blogger.com,1999:blog-4282145449735579933.post-3079157780249115662018-10-07T10:34:00.001-07:002018-10-07T10:35:41.991-07:00Singapore Seminar | 7 October 2018Refer to presentation slides at <a href="https://www.facebook.com/banhar.yeap/media_set?set=a.10155864167305975&type=3" target="_blank">Course Album </a><br />
<br />
This course is for parents interested in how children learn maths and how they can help in ways that their kids will do well in Maths, not just PSLE.Dr Yeap Ban Harhttp://www.blogger.com/profile/14995827943531633736noreply@blogger.com231tag:blogger.com,1999:blog-4282145449735579933.post-44351170249720531252018-09-17T23:48:00.002-07:002018-09-17T23:55:16.869-07:00Stockholm Course | 17.18 September 2018<a href="https://www.facebook.com/banhar.yeap/media_set?set=a.10154015853880975&type=3" target="_blank">Selected Slides from Mastery Course</a><br />
<div>
<br /></div>
<div>
<div class="separator" style="clear: both;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgSBjy9_fvU6RJ1awHhhv7G2yg3yiQJpAMR9C3F6esaOsec1DurmEOO1acXSNpANewxK7FqOCe91d06j5pTFo9H8qm80sBvPbkZkg6bDeQmKQQiqZ3F-os4Ci0xgfYEaSdw0HdNCIghYgg/s640/blogger-image--1378691700.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgSBjy9_fvU6RJ1awHhhv7G2yg3yiQJpAMR9C3F6esaOsec1DurmEOO1acXSNpANewxK7FqOCe91d06j5pTFo9H8qm80sBvPbkZkg6bDeQmKQQiqZ3F-os4Ci0xgfYEaSdw0HdNCIghYgg/s640/blogger-image--1378691700.jpg" /></a></div>
<br /></div>
Dr Yeap Ban Harhttp://www.blogger.com/profile/14995827943531633736noreply@blogger.com29tag:blogger.com,1999:blog-4282145449735579933.post-63301965540119363052018-08-22T04:29:00.000-07:002018-09-17T23:55:26.506-07:00Singapore Seminar | 27 July 2018 Seminar for Singapore Secondary Teachers at MDIS on Big Ideas<br />
<a href="https://m.facebook.com/banhar.yeap/albums/10155710291975975/?_rdr" target="_blank">Slides</a>Dr Yeap Ban Harhttp://www.blogger.com/profile/14995827943531633736noreply@blogger.com14tag:blogger.com,1999:blog-4282145449735579933.post-18245094112348242382018-07-30T15:31:00.001-07:002018-09-17T23:56:20.420-07:00Danvers Course | 30 July 2018<div class="separator" style="clear: both; text-align: center;">
<br /></div>
<div class="separator" style="clear: both; text-align: center;">
<br /></div>
<div class="separator" style="clear: both; text-align: center;">
Elective - Journal </div>
<div class="separator" style="clear: both; text-align: center;">
<br /></div>
<div class="separator" style="clear: both; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhJKXZMw-PRZNMqPCiLF00l71JiyDEW6KXhbbF17Vi8PBxN3fX_swABvGk5oivHN_35b6_VgQXtLgJAuIu62l6COAsuFGFIG2Wj1NQjr-BWb1WZ6BEakJxDAhvlCHRTl5HgHj7Y3EwtT0s/s1600/IMG_0076.PNG" imageanchor="1" style="font-family: 'Helvetica Neue Light', HelveticaNeue-Light, helvetica, arial, sans-serif; margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="1600" data-original-width="1585" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhJKXZMw-PRZNMqPCiLF00l71JiyDEW6KXhbbF17Vi8PBxN3fX_swABvGk5oivHN_35b6_VgQXtLgJAuIu62l6COAsuFGFIG2Wj1NQjr-BWb1WZ6BEakJxDAhvlCHRTl5HgHj7Y3EwtT0s/s1600/IMG_0076.PNG" /></a></div>
Different journal types based on two different lessons.<br />
<div class="separator" style="clear: both; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjxHP2H43sF4oBBZ-ejLRJuZGZ1FJnsilFDOmlaMgKrN3KCULbMXKHFqEnIc_4loBW7PLa0AOZcgVhTW1paoanwvSz5Ul13x9dgkuohf-iLsKbzNm_z7eoXtWICSsQLCe-55JUPdB7f5nM/s1600/IMG_0075.PNG" imageanchor="1" style="font-family: 'Helvetica Neue Light', HelveticaNeue-Light, helvetica, arial, sans-serif;"><img border="0" data-original-height="1380" data-original-width="1600" height="276" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjxHP2H43sF4oBBZ-ejLRJuZGZ1FJnsilFDOmlaMgKrN3KCULbMXKHFqEnIc_4loBW7PLa0AOZcgVhTW1paoanwvSz5Ul13x9dgkuohf-iLsKbzNm_z7eoXtWICSsQLCe-55JUPdB7f5nM/s1600/IMG_0075.PNG" width="320" /></a></div>
<div>
<br /></div>
Session for 6-8 | Rational Numbers<br />
<div class="separator" style="clear: both; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj8iXq2saQp8dzqJiCckgdr_obSXl9RxCEzA22v_7kFhSBkVLU0UoulI__IwUxVjCYIuiJR9E_LkNi76PxPU5SQbOlq2xZ6IV4NmQYiBZ9VctcJOnDYsqZCUwq1DHv4Q-53zayHd8YuprE/s1600/IMG_0067.PNG" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="1200" data-original-width="1600" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj8iXq2saQp8dzqJiCckgdr_obSXl9RxCEzA22v_7kFhSBkVLU0UoulI__IwUxVjCYIuiJR9E_LkNi76PxPU5SQbOlq2xZ6IV4NmQYiBZ9VctcJOnDYsqZCUwq1DHv4Q-53zayHd8YuprE/s1600/IMG_0067.PNG" /></a></div>
<br />
<div class="separator" style="clear: both; text-align: center;">
<br /></div>
<div class="separator" style="clear: both; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhq7CHTZP77HMYF-0H2YhLSvqa1iDXvVqjUEegYYdm7_o-EG8faQ24HJFvtnJ1C3IyO1AphA8rhZ3dWLLSQJK8jU3wpqbc9-P_NemNRu8GmkDyMVfTM0zFqkAgukACNu-xP_kmQgf2WP4A/s1600/IMG_0066.PNG" imageanchor="1" style="font-family: 'Helvetica Neue Light', HelveticaNeue-Light, helvetica, arial, sans-serif; margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="1200" data-original-width="1600" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhq7CHTZP77HMYF-0H2YhLSvqa1iDXvVqjUEegYYdm7_o-EG8faQ24HJFvtnJ1C3IyO1AphA8rhZ3dWLLSQJK8jU3wpqbc9-P_NemNRu8GmkDyMVfTM0zFqkAgukACNu-xP_kmQgf2WP4A/s1600/IMG_0066.PNG" /></a></div>
Session for K-2 | VisualizationDr Yeap Ban Harhttp://www.blogger.com/profile/14995827943531633736noreply@blogger.com31tag:blogger.com,1999:blog-4282145449735579933.post-92118655720292059142018-07-26T12:26:00.000-07:002018-09-17T23:55:57.033-07:00Singapore Seminar | 26 July 2018In my presentation to parents, I pointed out what is really important in secondary mathematics.<br />
<br />
<a href="https://www.facebook.com/banhar.yeap/media_set?set=a.10155710291975975.1073742278.586125974&type=3&uploaded=1" target="_blank">See here for Notes that are updated on regular basis</a><br />
<br />
I pointed out the importance of 'reading' mathematical expressions such as (-6) : (-2) and 1 : 1/3.<br />
<div>
<br /></div>
<div>
<div class="separator" style="clear: both;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhDifIKZFOPX2Sf3d8vo96o2xnG2zPUAc7lELXRMFsTfdDV3hatTfNZ78OJ5iTWXNvWaMrmBJyvco4JkHra4I7yt1S-VQcIamUpUIhMcH15Rsb1XSlxEQ7BuLHdKWHwDPPVHl5E5LisTv4/s640/blogger-image-1741035172.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhDifIKZFOPX2Sf3d8vo96o2xnG2zPUAc7lELXRMFsTfdDV3hatTfNZ78OJ5iTWXNvWaMrmBJyvco4JkHra4I7yt1S-VQcIamUpUIhMcH15Rsb1XSlxEQ7BuLHdKWHwDPPVHl5E5LisTv4/s640/blogger-image-1741035172.jpg" /></a></div>
<br /></div>
Dr Yeap Ban Harhttp://www.blogger.com/profile/14995827943531633736noreply@blogger.com15tag:blogger.com,1999:blog-4282145449735579933.post-27202063683712976462018-07-26T12:18:00.001-07:002018-09-17T23:56:57.517-07:00Seattle Course | 23.24 July 2018See <a href="https://www.facebook.com/banhar.yeap/media_set?set=a.10155674173505975.1073742276.586125974&type=3" target="_blank">presentation slides and summary</a> hereDr Yeap Ban Harhttp://www.blogger.com/profile/14995827943531633736noreply@blogger.com8tag:blogger.com,1999:blog-4282145449735579933.post-85718491560073032432018-07-12T22:20:00.001-07:002018-07-12T22:37:16.277-07:00Kansas City Course | 12 July 2018<div class="separator" style="clear: both;">A Day with Grades 6-9</div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;"><a href="https://m.facebook.com/banhar.yeap/albums/10155674173505975/?ref=bookmarks">https://m.facebook.com/banhar.yeap/albums/10155674173505975/?ref=bookmarks</a></div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;">I did the course on Rational Numbers and Algebraic Thinking for this group on Day 3 of the event. </div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;">We look at the use of models to help students learn mathematical ideas. In cases that are difficult to model we employ reasoning to help students use what they can model to figure out what they cannot.</div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;"><span style="margin-left: 1em; margin-right: 1em;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg3Amqx3YFvh2Jxooxd-xa6hnSkQZbiRgqaeiO59O9h81ubwAoAxO70GSYPmAu6dd-y-Coec9znvYuAPwtAjGBNE2g87p3VOPvpl5mM9YJq90d9CY9ptM2H-3fkl-3bMkPaj8fwICmn5Fc/s640/blogger-image--1026448444.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg3Amqx3YFvh2Jxooxd-xa6hnSkQZbiRgqaeiO59O9h81ubwAoAxO70GSYPmAu6dd-y-Coec9znvYuAPwtAjGBNE2g87p3VOPvpl5mM9YJq90d9CY9ptM2H-3fkl-3bMkPaj8fwICmn5Fc/s640/blogger-image--1026448444.jpg"></a></span><div class="separator" style="margin-left: 1em; margin-right: 1em; clear: both;"><span style="margin-left: 1em; margin-right: 1em;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg3Amqx3YFvh2Jxooxd-xa6hnSkQZbiRgqaeiO59O9h81ubwAoAxO70GSYPmAu6dd-y-Coec9znvYuAPwtAjGBNE2g87p3VOPvpl5mM9YJq90d9CY9ptM2H-3fkl-3bMkPaj8fwICmn5Fc/s640/blogger-image--1026448444.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhvMGmPSUQ_ERmrhmna__EY6vdCK3FRloJDIDevH4zumwOKdQVtPUM7AU5AiXQtt6hjTuZm-9eEYuz7_quJbJPdRY60oIznm864_Wl-NccpYoh8MSisPrDdZE53qjEUUA0PddalE5qh3Ls/s640/blogger-image-235474817.jpg"></a></span></div><div class="separator" style="margin-left: 1em; margin-right: 1em; clear: both;">For fractions, we focused on division by fractions. </div><div class="separator" style="margin-left: 1em; margin-right: 1em; clear: both;"><br></div><div class="separator" style="margin-left: 1em; margin-right: 1em; clear: both;">Again we compare the use of model as well as model + reasoning.</div><div class="separator" style="margin-left: 1em; margin-right: 1em; clear: both;"><br></div><div class="separator" style="margin-left: 1em; margin-right: 1em; clear: both;">Along the way we had a bit of fun.</div><div class="separator" style="margin-left: 1em; margin-right: 1em; clear: both;"><div class="separator" style="clear: both;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhXqexq-T_mw59JQurG0s88lkgGsWc9PDxNV38O0uSvST6ZgV4xSZcc5NJyH0epMRIO8KjTLuxiKSDTUfKE8xj9gECRUwTJi-9elFjmNGzg8RXXu9wgCop36QFBSMibWL9JQijBao0r0g4/s640/blogger-image--328559067.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhXqexq-T_mw59JQurG0s88lkgGsWc9PDxNV38O0uSvST6ZgV4xSZcc5NJyH0epMRIO8KjTLuxiKSDTUfKE8xj9gECRUwTJi-9elFjmNGzg8RXXu9wgCop36QFBSMibWL9JQijBao0r0g4/s640/blogger-image--328559067.jpg"></a></div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;">Algebraic Thinking 1 - Generalization - coming soon </div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;">Algebraic Thinking 2 - Use of Variables - coming soon </div><br></div></div><div class="separator" style="clear: both;"><div class="separator" style="clear: both;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjz60jaMoyPkmwqxJeCQp6rjgKZGlxtWJoSdj0pLbbIFdc8JfbnwKy4TWU4YvZYmqILhDfTurk7HQ2BuEO7PepZa14nAdlvunHl8bFAap8yyiTFrY93INFOyMouP6I4ivBCS6s_r8OhaOU/s640/blogger-image-927553860.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjz60jaMoyPkmwqxJeCQp6rjgKZGlxtWJoSdj0pLbbIFdc8JfbnwKy4TWU4YvZYmqILhDfTurk7HQ2BuEO7PepZa14nAdlvunHl8bFAap8yyiTFrY93INFOyMouP6I4ivBCS6s_r8OhaOU/s640/blogger-image-927553860.jpg"></a></div><div class="separator" style="clear: both;">105 people went on a trip. 4/5 of the adults and 2/3 of the children took several yellow buses. The remaining 29 took a red bus.</div><br></div><div class="separator" style="clear: both;"><br></div>Dr Yeap Ban Harhttp://www.blogger.com/profile/14995827943531633736noreply@blogger.com46tag:blogger.com,1999:blog-4282145449735579933.post-27445324562830621182018-07-12T22:14:00.001-07:002018-07-12T22:37:44.412-07:00Kansas City Course | 12 July 2018Advanced Learners <div><br></div><div>More slides later</div><div>or at </div><div><a href="https://m.facebook.com/banhar.yeap/albums/10155674173505975/?ref=bookmarks">https://m.facebook.com/banhar.yeap/albums/10155674173505975/?ref=bookmarks</a><br><div><br></div><div><div class="separator" style="clear: both;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjlNu9Tllf90wxnTV1VYW8dBc81nqJadC3LBtCBwYXs7lVUstcCteOrCTXxwHOOVBPc7ybjGsFE9fPQDG6csCU-SzU-BP7YmWDOqv1i1bHJ9D8lZahu3CdT8Vr7voKac_UhMVPuHKkaknk/s640/blogger-image--14453938.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjlNu9Tllf90wxnTV1VYW8dBc81nqJadC3LBtCBwYXs7lVUstcCteOrCTXxwHOOVBPc7ybjGsFE9fPQDG6csCU-SzU-BP7YmWDOqv1i1bHJ9D8lZahu3CdT8Vr7voKac_UhMVPuHKkaknk/s640/blogger-image--14453938.jpg"></a></div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;"><div class="separator" style="clear: both;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiqevTmaENLFwYrzpi7aRWFjekZHrvO4t0D1lRb7Mf5H_0Nq6h6OLajhDeHu-MquncZ4QhnN9IvhWrsa_sGFc4GV145lozhnBTrpoz5TSGN-esuet4YMCx7K5WDG_m9cYaUfO4A-gDW3w8/s640/blogger-image--1344712249.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiqevTmaENLFwYrzpi7aRWFjekZHrvO4t0D1lRb7Mf5H_0Nq6h6OLajhDeHu-MquncZ4QhnN9IvhWrsa_sGFc4GV145lozhnBTrpoz5TSGN-esuet4YMCx7K5WDG_m9cYaUfO4A-gDW3w8/s640/blogger-image--1344712249.jpg"></a></div><br></div><br></div></div>Dr Yeap Ban Harhttp://www.blogger.com/profile/14995827943531633736noreply@blogger.com6tag:blogger.com,1999:blog-4282145449735579933.post-21806282956185202872018-07-11T03:03:00.001-07:002018-07-12T22:36:55.751-07:00Kansas City Courses | 11 July 2018<div><div class="separator" style="clear: both;">Enquiries about </div><div class="separator" style="clear: both;"><span style="font-family: 'Helvetica Neue Light', HelveticaNeue-Light, helvetica, arial, sans-serif;">think! Mathematics </span></div><div class="separator" style="clear: both;"><span style="font-family: 'Helvetica Neue Light', HelveticaNeue-Light, helvetica, arial, sans-serif;">a textbook with anchor tasks based on latest research on how teachers use textbooks and how students respond to different tasks</span></div><div class="separator" style="clear: both;"><span style="font-family: 'Helvetica Neue Light', HelveticaNeue-Light, helvetica, arial, sans-serif;"><br></span></div><div class="separator" style="clear: both;"><span style="font-family: 'Helvetica Neue Light', HelveticaNeue-Light, helvetica, arial, sans-serif;">US Office </span></div><div class="separator" style="clear: both;"><span style="font-family: 'Helvetica Neue Light', HelveticaNeue-Light, helvetica, arial, sans-serif;">keet@think-mathematics.com</span></div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgpVCQsweA7EAner1DCgXX1cE7-rK8pJXD-KpCAwXIRwrMDAkFr6aOFclNr9SjsEZdYJh4_-FEc-6xX1xzAFeI-AVOAPw5E6XWDnk4kW84jzCQsSWV0IMXrOMZtV95Fh9cq6UTMzubF75o/s640/blogger-image--1690968176.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgpVCQsweA7EAner1DCgXX1cE7-rK8pJXD-KpCAwXIRwrMDAkFr6aOFclNr9SjsEZdYJh4_-FEc-6xX1xzAFeI-AVOAPw5E6XWDnk4kW84jzCQsSWV0IMXrOMZtV95Fh9cq6UTMzubF75o/s640/blogger-image--1690968176.jpg"></a></div><br></div><div>Or contact the Singapore office </div><div><a href="support@think-mathematics.com">support@think-mathematics.com</a></div><div><br></div><div>For other slides see <a href="https://m.facebook.com/banhar.yeap/albums/10155674173505975/?ref=bookmarks" style="font-family: 'Helvetica Neue Light', HelveticaNeue-Light, helvetica, arial, sans-serif;">https://m.facebook.com/banhar.yeap/albums/10155674173505975/?ref=bookmarks</a></div><div><br></div>Kansas City | K-2 Journals<div>We looked at four journal types. </div><div><br></div><div>I invited the class to think about the roles of journals as 'homework' - class started 15 minutes late because the keynote ended late. And it was 4 p.m. and the Teachers have been in sessions since 8 a.m. Greg is a slave-driver so he packs the day for the participants 😂.</div><div><br></div><div>After 4 there's still yoga and all sorts of dancing, if you are the dancing type. Me, I went for Chicken Katsu and Sake with a couple of friends.</div><div><br></div><div>But here are the highlights of the one-hour elective session.</div><div><br></div><div>Follow-Up Videos to Watch</div><div>Schools talking about the use of journals.</div><div>https://vimeo.com/151516124</div><div><br></div><div>Also see www.facebook.com/BanHarMaths.com for other additional videos</div><div><br></div><div><div class="separator" style="clear: both;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiObCmgaqSqVMOm8DAu7lIhjA2C5BbSOLQgBwHo_AGEQmLcR4UZX4tUL7_aJ4QSgazbeSML8vvxqveGT6lFPsIUozxylcJgvgng5yj6eq1Lo3MdFanw9Y8Pc3Vl_UQQoBXfjva-V7RC8tU/s640/blogger-image--247998175.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiObCmgaqSqVMOm8DAu7lIhjA2C5BbSOLQgBwHo_AGEQmLcR4UZX4tUL7_aJ4QSgazbeSML8vvxqveGT6lFPsIUozxylcJgvgng5yj6eq1Lo3MdFanw9Y8Pc3Vl_UQQoBXfjva-V7RC8tU/s640/blogger-image--247998175.jpg"></a></div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;">These are a few examples of journals from schools in Thailand (Anglo Singapore International School) and South Africa (King David School).</div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;"><div class="separator" style="clear: both;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiKfBAqedlkDMzPs_Y-6JKyVXXbB2PG8MsrRPyVndoBZH0YrwAgCkONluDR7ZEIy-NXccf6jMFyb4TSZRTA8Y1snMQT3OEK9sjip2Rj7d518DYWjp_0rVup3lqkC9mM7fDX3IUf0vq1uN0/s640/blogger-image--619341850.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiKfBAqedlkDMzPs_Y-6JKyVXXbB2PG8MsrRPyVndoBZH0YrwAgCkONluDR7ZEIy-NXccf6jMFyb4TSZRTA8Y1snMQT3OEK9sjip2Rj7d518DYWjp_0rVup3lqkC9mM7fDX3IUf0vq1uN0/s640/blogger-image--619341850.jpg"></a></div><div class="separator" style="clear: both;">Source | Anglo Singapore IS - a glimpse into how a child counts 100</div><div class="separator" style="clear: both;">There is evidence of counting groups but is it groups of ten?</div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;">Source | Anglo Singapore IS - upon completing a practice worksheet students are asked to sort those that they have to do regrouping and those that they do not need to.</div><div class="separator" style="clear: both;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgjmQKzmW6R4Alyh-SmbpHumcfGzYaBsr3h2pSzVxrjWr0eK0x5IJ1ERHzrC1CXNRHNNHAaKC8kYUZLYT72YDmU8gOWO8gPV7z23RZ6fzImbzfMLzVh6NSf2m9zZ7p35eiqOZPPrVB8NDw/s640/blogger-image-971792553.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgjmQKzmW6R4Alyh-SmbpHumcfGzYaBsr3h2pSzVxrjWr0eK0x5IJ1ERHzrC1CXNRHNNHAaKC8kYUZLYT72YDmU8gOWO8gPV7z23RZ6fzImbzfMLzVh6NSf2m9zZ7p35eiqOZPPrVB8NDw/s640/blogger-image-971792553.jpg"><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;"><br></div></a><div class="separator" style="clear: both;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgjmQKzmW6R4Alyh-SmbpHumcfGzYaBsr3h2pSzVxrjWr0eK0x5IJ1ERHzrC1CXNRHNNHAaKC8kYUZLYT72YDmU8gOWO8gPV7z23RZ6fzImbzfMLzVh6NSf2m9zZ7p35eiqOZPPrVB8NDw/s640/blogger-image-971792553.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"></a><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjO8RGhKJKZdywSXSlhY3RlwcFTN4SgUT17vgQ-9_al6dTNvOee3ZqRHSEHTkzqhIej-ElNYL7d7c6VwiWhpStfKfsxh_WLUGP3XVojVF4I7VNj1xS6gvamZZdckWp2MEyJEGhk1Vd9K0s/s640/blogger-image--702033797.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjO8RGhKJKZdywSXSlhY3RlwcFTN4SgUT17vgQ-9_al6dTNvOee3ZqRHSEHTkzqhIej-ElNYL7d7c6VwiWhpStfKfsxh_WLUGP3XVojVF4I7VNj1xS6gvamZZdckWp2MEyJEGhk1Vd9K0s/s640/blogger-image--702033797.jpg"></a></div></div><div class="separator" style="clear: both;"><span style="-webkit-text-size-adjust: auto; background-color: rgba(255, 255, 255, 0); font-family: 'Helvetica Neue Light', HelveticaNeue-Light, helvetica, arial, sans-serif;">Source | King David School - this student was responding to "Draw a Friend who is 7 paper-clips tall". Like all kids his age, he drew a Friend and crossed his fingers.</span></div><div class="separator" style="clear: both;"><span style="-webkit-text-size-adjust: auto; background-color: rgba(255, 255, 255, 0); font-family: 'Helvetica Neue Light', HelveticaNeue-Light, helvetica, arial, sans-serif;"><br></span></div><div class="separator" style="clear: both;"><span style="-webkit-text-size-adjust: auto; background-color: rgba(255, 255, 255, 0); font-family: 'Helvetica Neue Light', HelveticaNeue-Light, helvetica, arial, sans-serif;"><br></span></div><div class="separator" style="clear: both;"><div><br></div></div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;"><font color="#0000ee"><u><br></u></font></div><br></div> </div>Dr Yeap Ban Harhttp://www.blogger.com/profile/14995827943531633736noreply@blogger.com9tag:blogger.com,1999:blog-4282145449735579933.post-34443532285315358572018-07-05T03:10:00.001-07:002018-07-11T02:41:52.790-07:00Altrincham and St Albans Course | 5.6 July 2018<div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;"><div class="separator" style="clear: both;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjPwC2OXqNuvTs5TLxLb5C7OiM46wkwORaZDkcTU2qLkctsCCAvDUMrDbmgciYNw8ylgcXNYnSfm0boKgQdl5rrMfBcuImstGKkk-MxO8N8raU2r67ayP4uZFhv6hJz8buQbx3Wy8E0ua0/s640/blogger-image-327962002.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjPwC2OXqNuvTs5TLxLb5C7OiM46wkwORaZDkcTU2qLkctsCCAvDUMrDbmgciYNw8ylgcXNYnSfm0boKgQdl5rrMfBcuImstGKkk-MxO8N8raU2r67ayP4uZFhv6hJz8buQbx3Wy8E0ua0/s640/blogger-image-327962002.jpg"></a></div><div class="separator" style="clear: both;"><div class="separator" style="clear: both;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiH9uIdzn0qTHr62VVzMl3sihwtUDWvRAFRx1INJW8GUAwrevcxJbdaLdvnm-_bmqiSac6oI_n5YkSQ4Q4dmBBUm0rhqu_57fCh5l2F0KKwMSv10Z5t1-j52lE4dpNLt0u9pW8IHcOCJPY/s640/blogger-image-556339792.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiH9uIdzn0qTHr62VVzMl3sihwtUDWvRAFRx1INJW8GUAwrevcxJbdaLdvnm-_bmqiSac6oI_n5YkSQ4Q4dmBBUm0rhqu_57fCh5l2F0KKwMSv10Z5t1-j52lE4dpNLt0u9pW8IHcOCJPY/s640/blogger-image-556339792.jpg"></a></div><div class="separator" style="clear: both;">BrainingCamp </div><div class="separator" style="clear: both;">Math Learning Center</div><div class="separator" style="clear: both;">Pencil Box</div><div class="separator" style="clear: both;">Bamboo Paper</div><br></div><br></div><div class="separator" style="clear: both;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi9bqwWcl7wjm9hYMe8gx5uzu9_Q9gUX-M0yEHr4b_AT2mRFmcv2P39sBVvPc5UCxL05u4ZUyyHvn-pwJiveHHNbWda61CcWpuiRHyCn0rGfJ2U8OUOE2TPcJeC0e6RYwY8gZcXZLuQUFI/s640/blogger-image--1238418622.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi9bqwWcl7wjm9hYMe8gx5uzu9_Q9gUX-M0yEHr4b_AT2mRFmcv2P39sBVvPc5UCxL05u4ZUyyHvn-pwJiveHHNbWda61CcWpuiRHyCn0rGfJ2U8OUOE2TPcJeC0e6RYwY8gZcXZLuQUFI/s640/blogger-image--1238418622.jpg"></a></div><div class="separator" style="clear: both;">Opening Problem</div><div class="separator" style="clear: both;">We discussed ways to support struggling learners and ways to challenge advanced learners.</div><div class="separator" style="clear: both;">We looked at anchor tasks and some conditions of learning.</div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;">What's advanced thinking in mathematics? </div>Dr Yeap Ban Harhttp://www.blogger.com/profile/14995827943531633736noreply@blogger.com7tag:blogger.com,1999:blog-4282145449735579933.post-74681646881965795472018-07-04T11:45:00.001-07:002018-07-04T11:45:33.133-07:00Altrincham Course | 4 July 2018Problem Solving Course <div><div class="separator" style="clear: both;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhN-O4ULfk8ede7G9FYn4KR8VMJ7eyRCxBISxf3qQjjva8o8kPPlYcltQNHFr_fnMlk0b457SYKHQ0SE9x15N1Wxiyi5WK0r0UKLdrOxVTbEe-gEQEqzzJKvhSsc24iuZFuO_z0XaVe1Dc/s640/blogger-image--1850995756.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhN-O4ULfk8ede7G9FYn4KR8VMJ7eyRCxBISxf3qQjjva8o8kPPlYcltQNHFr_fnMlk0b457SYKHQ0SE9x15N1Wxiyi5WK0r0UKLdrOxVTbEe-gEQEqzzJKvhSsc24iuZFuO_z0XaVe1Dc/s640/blogger-image--1850995756.jpg"></a></div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;"><div class="separator" style="clear: both;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiZ8kp3yDY8b791zcuiwJqUFQEFSssIusnusOmDXUu4f16raAiJ0cGaSks39HV7A-bWP05j2Ox_FDGzNVpi5qIDsOnjZDz_3jSNqXMTqthIhg7a7PpHNOx4rY9rjlwdbAiA0QYuQZvNByE/s640/blogger-image-1243324249.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiZ8kp3yDY8b791zcuiwJqUFQEFSssIusnusOmDXUu4f16raAiJ0cGaSks39HV7A-bWP05j2Ox_FDGzNVpi5qIDsOnjZDz_3jSNqXMTqthIhg7a7PpHNOx4rY9rjlwdbAiA0QYuQZvNByE/s640/blogger-image-1243324249.jpg"></a></div><br></div><br></div>Dr Yeap Ban Harhttp://www.blogger.com/profile/14995827943531633736noreply@blogger.com6tag:blogger.com,1999:blog-4282145449735579933.post-42394356343461526642018-06-27T01:28:00.001-07:002018-06-27T04:34:53.622-07:00London Course | 27.28.29 June 2018<div class="separator" style="clear: both;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhc2RNQqFozYa32vqKVeWZLD6p3mlUlJS0C9ty3a3tW8qmaX6SU7Z1XVslI7c8wLsdEyIyO7i6wfPzNb6O6GNmLel1l5KMhSS3w9QpJ1andwFHjBZ-830j77VyaeuSGjsCsumuoXSb5HAk/s640/blogger-image-841731466.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhc2RNQqFozYa32vqKVeWZLD6p3mlUlJS0C9ty3a3tW8qmaX6SU7Z1XVslI7c8wLsdEyIyO7i6wfPzNb6O6GNmLel1l5KMhSS3w9QpJ1andwFHjBZ-830j77VyaeuSGjsCsumuoXSb5HAk/s640/blogger-image-841731466.jpg"></a></div><div class="separator" style="clear: both;">Case 1 | 7+3+2<div class="separator" style="clear: both;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh-b-yha7t5B9pvB-zZ-Rk1dEIZsqw2ni43SGrNd6dh6Oly6jn_gCd2l25fntHpVprWsLlzb5XMEfPeFTns-FlwcImiHYNkL3QFKbVas6AHInlwBW9N8SQf-kZM8njGm-xUKWBd4olIMW8/s640/blogger-image--855095932.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh-b-yha7t5B9pvB-zZ-Rk1dEIZsqw2ni43SGrNd6dh6Oly6jn_gCd2l25fntHpVprWsLlzb5XMEfPeFTns-FlwcImiHYNkL3QFKbVas6AHInlwBW9N8SQf-kZM8njGm-xUKWBd4olIMW8/s640/blogger-image--855095932.jpg"></a></div></div><div class="separator" style="clear: both;"><div class="separator" style="clear: both;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg_n59wg8s9H8XObwKT8lZUfLGhEA4e5ytLhDzJ-ZdE9ZgnzKy4CQgCzWVMO9uX6sPw6t2tsgjwlLTPkX3y5iqynfvSerT3bpTqHSJLe2BCDeGDkEG2JVEMpjhmDYBy5Ppd2KS666vlra0/s640/blogger-image--630826552.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg_n59wg8s9H8XObwKT8lZUfLGhEA4e5ytLhDzJ-ZdE9ZgnzKy4CQgCzWVMO9uX6sPw6t2tsgjwlLTPkX3y5iqynfvSerT3bpTqHSJLe2BCDeGDkEG2JVEMpjhmDYBy5Ppd2KS666vlra0/s640/blogger-image--630826552.jpg"></a></div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;"><div class="separator" style="clear: both;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjI7LLYEM4xzwcfDsvdoAaVLl0oz_W1LDP1jhlJ_t9qhvnrKHyRWhSkSh0zqJgbjebzd7N1zo1NBl7zytAvC-6koup9sVPJiVB_Y9VNyzK-ebbrMloQl0B1MZjJlek7VNKaI7LBA-00d7U/s640/blogger-image--1005389580.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjI7LLYEM4xzwcfDsvdoAaVLl0oz_W1LDP1jhlJ_t9qhvnrKHyRWhSkSh0zqJgbjebzd7N1zo1NBl7zytAvC-6koup9sVPJiVB_Y9VNyzK-ebbrMloQl0B1MZjJlek7VNKaI7LBA-00d7U/s640/blogger-image--1005389580.jpg"></a></div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;">Case | Multiplication </div><div class="separator" style="clear: both;"><div class="separator" style="clear: both;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjnvMHjWbespmwOMmsDTDulGYXD_stpHt3p8m0iY43WFnG3JtAdPyL0YVyjt60XjfnIl6RMgUGMO3Sr7huhUP0N3-2B6zB9m1GcmuqKfgCqFGbcw5WsLnG3of5Ye5XA4iI54XtzBmFnJWI/s640/blogger-image-769395836.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"></a><div class="separator" style="clear: both;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjnvMHjWbespmwOMmsDTDulGYXD_stpHt3p8m0iY43WFnG3JtAdPyL0YVyjt60XjfnIl6RMgUGMO3Sr7huhUP0N3-2B6zB9m1GcmuqKfgCqFGbcw5WsLnG3of5Ye5XA4iI54XtzBmFnJWI/s640/blogger-image-769395836.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"></a><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi_XzoQcX9HSbSFve9I5vV8Lvbqf7Vmi_ZinBKLOYf1ANpXH-mrNivoREvvFOG-sxOmTk2A9te0p3CRZvs2ZuzUJPZa2LV8Jj9ZJYQgt2VefEGEVB-rvXpb4gYIjC0kHILi8zz8TEuKeso/s640/blogger-image--1027390679.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi_XzoQcX9HSbSFve9I5vV8Lvbqf7Vmi_ZinBKLOYf1ANpXH-mrNivoREvvFOG-sxOmTk2A9te0p3CRZvs2ZuzUJPZa2LV8Jj9ZJYQgt2VefEGEVB-rvXpb4gYIjC0kHILi8zz8TEuKeso/s640/blogger-image--1027390679.jpg"></a></div><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjnvMHjWbespmwOMmsDTDulGYXD_stpHt3p8m0iY43WFnG3JtAdPyL0YVyjt60XjfnIl6RMgUGMO3Sr7huhUP0N3-2B6zB9m1GcmuqKfgCqFGbcw5WsLnG3of5Ye5XA4iI54XtzBmFnJWI/s640/blogger-image-769395836.jpg"></div><br></div><br></div><br></div><div class="separator" style="clear: both;"><br></div>Dr Yeap Ban Harhttp://www.blogger.com/profile/14995827943531633736noreply@blogger.com4tag:blogger.com,1999:blog-4282145449735579933.post-13986541405387765832018-06-25T02:47:00.001-07:002018-06-25T09:21:11.375-07:00Wirral Course | 25 June 2018<div class="separator" style="clear: both;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj5cZubAFiYFIYT3kWljh08EB7cnvV_n8tGRpOoSY-BweKqDa1EK04-lbjMOVakFbk-Shb1NhREI6oIMrimS60Xu8ECsI4QifHZbKipkByzKNn3fHfA_keaE54z-yjq7xkvU-cCsqcK5tQ/s640/blogger-image-204802829.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj5cZubAFiYFIYT3kWljh08EB7cnvV_n8tGRpOoSY-BweKqDa1EK04-lbjMOVakFbk-Shb1NhREI6oIMrimS60Xu8ECsI4QifHZbKipkByzKNn3fHfA_keaE54z-yjq7xkvU-cCsqcK5tQ/s640/blogger-image-204802829.jpg"></a></div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;"><a href="https://m.facebook.com/BanHarMaths/photos/a.610715539130877.1073741829.602271689975262/895912473944514/?type=3&source=48">https://m.facebook.com/BanHarMaths/photos/a.610715539130877.1073741829.602271689975262/895912473944514/?type=3&source=48</a></div><div class="separator" style="clear: both;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEja6KovRgoIBbZyHWp807foakzossicDiC-DBUhj0tzf5hAciPimJXrMECmP8mYXtUzxr5wYBiGeeRfEHaJOLtzTVeM9dEwoxQkONHmfLsKdgeXyenDrhslkh5aYVvz8vm7fyhCu0L7Mvc/s640/blogger-image-904565760.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEja6KovRgoIBbZyHWp807foakzossicDiC-DBUhj0tzf5hAciPimJXrMECmP8mYXtUzxr5wYBiGeeRfEHaJOLtzTVeM9dEwoxQkONHmfLsKdgeXyenDrhslkh5aYVvz8vm7fyhCu0L7Mvc/s640/blogger-image-904565760.jpg"></a></div>Dr Yeap Ban Harhttp://www.blogger.com/profile/14995827943531633736noreply@blogger.com2tag:blogger.com,1999:blog-4282145449735579933.post-13106902964105595772018-06-09T00:35:00.001-07:002018-06-09T00:35:24.890-07:00Bangkok Course | 9.10 June 2018<div class="separator" style="clear: both;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiC_VCdFo4LUVfpze5ytDafVnk1xvQQTB6Olq_1UJ6KGDTxL4CUdYrbcYIsWIRJkcXsNfn2wEYV4QL1_jF7mnPYqxBZojAc9Oy3r3b0aVrIjNIC9sfYkdbBAmYrUUDUi_jU_wf-LVT0beo/s640/blogger-image-1928147440.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiC_VCdFo4LUVfpze5ytDafVnk1xvQQTB6Olq_1UJ6KGDTxL4CUdYrbcYIsWIRJkcXsNfn2wEYV4QL1_jF7mnPYqxBZojAc9Oy3r3b0aVrIjNIC9sfYkdbBAmYrUUDUi_jU_wf-LVT0beo/s640/blogger-image-1928147440.jpg"></a></div>Dr Yeap Ban Harhttp://www.blogger.com/profile/14995827943531633736noreply@blogger.com17tag:blogger.com,1999:blog-4282145449735579933.post-55452712302831209862018-05-02T12:21:00.001-07:002018-05-02T12:58:55.931-07:00Singapore Seminar | 18 April & 2 May 2018<div>As part of Pathlight School's school-parents partnership model, we try to empower parents. In my role, it is to empower them to help their kids with the academics.</div><div><br></div><div>This year, I focus on (surprisingly) mathematics.</div><div><br></div>Parents are encouraged to return to this blog post as I will be adding content throughout the year.<div><br></div><div>We discussed how to learn calculations at a level beyond the procedural in the April seminar.</div><div>In May, we looked at word problems.</div><div><br></div><div>Spiky, Curly and Smiley had the same amount of coins. Curly and Smiley each had a mix of two types of coins, 50-cent coins and 10-cent coins. Curly had nine 10-cent coins and Smiley had fifteen 10-cent coins. Spiky had only 50-cent coins.</div><div><br></div><div>(a) Of the three children, who had the most money and who had the least?</div><div>(b) What is the difference in the total value of Curly and Smiley's coins?</div><div>(c) Smiley used all his 50-cent coins to buy some food. He then had $10 less than Spiky. how many coins did Spiky have?</div><div><br></div><div>We did this problem to understand the role of qualitative thinking in mathematical problem solving. The hard part in problem solving is usually the qualitative thinking, rarely the quantitative computation which can be done by a calculator anyway.</div><div><br></div><div>For those who did not attend 😤 (detention class, no, joking), please solve this problem before I continue...</div><div><br></div><div><div><div class="separator" style="clear: both;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh2Nz7Aac1d844OQ3ECF_4DO4pvUIpQ78ZgOvHv4TwdFWdHLfWdW57I8XEoqXIGXP6_uoHg6xyLu4dOPgJQCeDp0z3Akxhigjd1u6GHbiF6hgTxZMX7Tloq983GohFnozqGGWnnfeVpjeM/s640/blogger-image--249721251.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh2Nz7Aac1d844OQ3ECF_4DO4pvUIpQ78ZgOvHv4TwdFWdHLfWdW57I8XEoqXIGXP6_uoHg6xyLu4dOPgJQCeDp0z3Akxhigjd1u6GHbiF6hgTxZMX7Tloq983GohFnozqGGWnnfeVpjeM/s640/blogger-image--249721251.jpg"></a></div><br></div><div><br></div><div>After a hard day's work a group of parents were made to solve this problem, which is a version of a recent year's Primary School Leaving Examination (PSLE) task.</div><div><br></div><div>Sorry 😬</div><div><br></div><div>We hope the food compensate for the hard thinking some of us had to go through at eight at night.</div><div><br></div><div>I shared a few routines parents can teach their children.</div><div><br></div><div>Read. Draw? Calculate?</div><div>Do not encourage kids to reach the entire paragraph, unless he is a gifted reader. </div><div><br></div><div>Who is is in the story? What is it all about?</div><div>These are easy entry points to a challenging problem and gives kids confidence.</div><div><br></div><div>Read the first sentence.</div><div>Is it easy to understand?</div><div>Can I already calculate?</div><div>Can I draw (a model)?</div><div><br></div><div>Then move to the next.</div><div>This read-and-do routine helps kids to manage information and not be overwhelmed by the complexity of the story.</div><div><br></div><div>Can you imagine the story?</div><div>All the three are holding a bowl of coins, all the same number. Suppose all are fifty-cent coins. </div><div><br></div><div>Imagine Curly giving up one 50-cent coin and receive one 10-cent coin. What happens to her amount of money? By how much? </div><div><br></div><div>Is that right ... Curly had nine 10-cent coins. I imagine her giving up 9 fifty-cent coins in return for the 9 ten-cent coins. How much less money does she has than Spiky? </div><div><br></div><div>I share are techniques in scaffolding. I discourage parents explaining solutions to their kids | Scaffold and Model, Not Explain</div></div><div><br></div><div>To be continued ....</div><div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;"><br></div><br></div>Dr Yeap Ban Harhttp://www.blogger.com/profile/14995827943531633736noreply@blogger.com4tag:blogger.com,1999:blog-4282145449735579933.post-76606775534090063032018-04-11T05:17:00.001-07:002018-09-17T23:57:28.287-07:00Albany & Danbury Course<div class="separator" style="clear: both;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg86Yl_G-iotixaSrym6Y-JXcoV_wECvzh95VXhwsQi-TX4Ax70Gm6Zxe9RJssTFTVRXSSeWciIOVHtn1EB3WZLN0udQVGbaGviYMJTWrZeawyQkYyPT04xmBKs3u4pOniA3zXwaGvxFZg/s640/blogger-image--1755255274.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg86Yl_G-iotixaSrym6Y-JXcoV_wECvzh95VXhwsQi-TX4Ax70Gm6Zxe9RJssTFTVRXSSeWciIOVHtn1EB3WZLN0udQVGbaGviYMJTWrZeawyQkYyPT04xmBKs3u4pOniA3zXwaGvxFZg/s640/blogger-image--1755255274.jpg" /></a></div>
<div class="separator" style="clear: both;">
<br /></div>
<div class="separator" style="clear: both;">
</div>
<div class="separator" style="clear: both;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgjrRdpsbpuZPYICzYrWsuIwWXg2Dt9kIs0dZ3MxhN2-WI2WIxJotiIHhCaVHE91X3BXRbAULAwBIGVo91VWxXiiaaJAj-mPajFeR36fMtlEzkXWMCRcR_VAO02K976p2DdzeybpSCVe8A/s640/blogger-image--1607961852.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgjrRdpsbpuZPYICzYrWsuIwWXg2Dt9kIs0dZ3MxhN2-WI2WIxJotiIHhCaVHE91X3BXRbAULAwBIGVo91VWxXiiaaJAj-mPajFeR36fMtlEzkXWMCRcR_VAO02K976p2DdzeybpSCVe8A/s640/blogger-image--1607961852.jpg" /></a></div>
<br />Dr Yeap Ban Harhttp://www.blogger.com/profile/14995827943531633736noreply@blogger.com4tag:blogger.com,1999:blog-4282145449735579933.post-83967769925114520912018-03-23T05:46:00.001-07:002018-03-23T05:55:43.760-07:00Manchester Course | 23 March 2018<div class="separator" style="clear: both;">The problem-solving courses focuses on teaching basics as problem solving as well as teaching of solving of word and puzzle problems.</div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;">Can drill-and-practice be done in the spirit of problem solving?</div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;">We saw how teaching times tables, as well as algorithms like long division and subtraction with renaming as problem solving.</div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgX6PsdTCL6IyFGLSBPa-QkyHwppcsJxkJ_JzmrqCoKqGPIwMXUjRPNJCOjuUN8OS38V3Ey316rWoxSidZo88LDLImHqz-0Xf1fdmZBJYpdqsxlKcOZUZzKoQsmMHtFxY7yhA9VufajcOc/s640/blogger-image-45014715.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgX6PsdTCL6IyFGLSBPa-QkyHwppcsJxkJ_JzmrqCoKqGPIwMXUjRPNJCOjuUN8OS38V3Ey316rWoxSidZo88LDLImHqz-0Xf1fdmZBJYpdqsxlKcOZUZzKoQsmMHtFxY7yhA9VufajcOc/s640/blogger-image-45014715.jpg"></a></div><div class="separator" style="clear: both;">Spiky spent one-quarter of his savings on a present and one-sixth of the remaining money on a toy for himself. As a result, he had £32 left.</div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;">Solving a simpler problem ...</div><div class="separator" style="clear: both;"><div class="separator" style="clear: both;"><span style="-webkit-text-size-adjust: auto; background-color: rgba(255, 255, 255, 0);">Spiky spent one-quarter of his savings on a present and one-third of the remaining money on a toy for himself. As a result, he had £32 left.</span></div><div class="separator" style="clear: both;"><span style="-webkit-text-size-adjust: auto; background-color: rgba(255, 255, 255, 0);"><br></span></div><div class="separator" style="clear: both;"><span style="-webkit-text-size-adjust: auto;">What-if ....?</span></div><div class="separator" style="clear: both;"><div class="separator" style="clear: both;"><span style="-webkit-text-size-adjust: auto; background-color: rgba(255, 255, 255, 0);">Spiky spent one-quarter of his savings on a present and one-quarter of the remaining money on a toy for himself. As a result, he had £32 left.</span></div><div><br></div></div></div><div class="separator" style="clear: both;"><font face="Helvetica Neue Light, HelveticaNeue-Light, helvetica, arial, sans-serif">SUPPORTING STUDENTS in WORD PROBLEM SOLVING</font></div><div class="separator" style="clear: both;"><span style="font-family: 'Helvetica Neue Light', HelveticaNeue-Light, helvetica, arial, sans-serif;">In teaching word problems, I demonstrated my usual "guess my next word" routine in teaching word problems. </span></div><div class="separator" style="clear: both;"><span style="font-family: 'Helvetica Neue Light', HelveticaNeue-Light, helvetica, arial, sans-serif;"><br></span></div><div class="separator" style="clear: both;"><span style="font-family: 'Helvetica Neue Light', HelveticaNeue-Light, helvetica, arial, sans-serif;">What are the advantages of this strategy?</span></div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;">The class came up with this list ...</div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;">1. Teaching habits of mind of handling small chunks of information</div><div class="separator" style="clear: both;">2. Teaching kids to be not helpless - Can we calculate already? Can we draw?</div><div class="separator" style="clear: both;">3. Leaving out numbers in initial problem or when reading</div><div class="separator" style="clear: both;">4.</div><div class="separator" style="clear: both;">5.</div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;"><br></div>Dr Yeap Ban Harhttp://www.blogger.com/profile/14995827943531633736noreply@blogger.com16tag:blogger.com,1999:blog-4282145449735579933.post-70812297855137524792018-03-19T02:12:00.001-07:002018-03-21T00:33:38.378-07:00London Course | 19.20.21 March 2018<div class="separator" style="clear: both;">Session 0</div><div class="separator" style="clear: both;">Some achievement score data and what they means ...</div><div class="separator" style="clear: both;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg4qTYB3rRxdrxKJAYqXOuAG5FCrvvJnUqqQCW-_ZSCqX62GYA6ZtMeYUyL36h9IJ0KzCqsztkPzN8qtIXjdp66muRrnXwefGNPCS4TpwAHgpfsvMRMWXWDqBgla5_NMw9o0fw_al8Xc9A/s640/blogger-image-1213937140.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg4qTYB3rRxdrxKJAYqXOuAG5FCrvvJnUqqQCW-_ZSCqX62GYA6ZtMeYUyL36h9IJ0KzCqsztkPzN8qtIXjdp66muRrnXwefGNPCS4TpwAHgpfsvMRMWXWDqBgla5_NMw9o0fw_al8Xc9A/s640/blogger-image-1213937140.jpg"></a></div><div class="separator" style="clear: both;"><div class="separator" style="clear: both;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj12xcGnOAECy6vkZd1rGytZ9jgk1Z-No0SsKoM2YIaMVF5wvzEOcIYi22wvZHSL_Md5OEEYQBTAD8BMd0VcFSG5jMjiKwuZZRHuxGwhf92d3gIdQB0LVjIeZSoUV1xD3Wb_dFxbXQkOd0/s640/blogger-image--1807974716.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj12xcGnOAECy6vkZd1rGytZ9jgk1Z-No0SsKoM2YIaMVF5wvzEOcIYi22wvZHSL_Md5OEEYQBTAD8BMd0VcFSG5jMjiKwuZZRHuxGwhf92d3gIdQB0LVjIeZSoUV1xD3Wb_dFxbXQkOd0/s640/blogger-image--1807974716.jpg"></a></div><br></div><div class="separator" style="clear: both;"><div class="separator" style="clear: both;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhfNjFe8OoauPSF6MfsKDRP8c4pRWOdm8vREOWF7FNuDeyefqLmnFZlmmFxAehav-5A16i2OwPLd1W8YyfTJ1GHjhS-vLfk6WbD5fszxo0Meuw7lObu5hcNUQTimdJy7UJjzv_a9nMBP8M/s640/blogger-image--1608443692.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhfNjFe8OoauPSF6MfsKDRP8c4pRWOdm8vREOWF7FNuDeyefqLmnFZlmmFxAehav-5A16i2OwPLd1W8YyfTJ1GHjhS-vLfk6WbD5fszxo0Meuw7lObu5hcNUQTimdJy7UJjzv_a9nMBP8M/s640/blogger-image--1608443692.jpg"></a></div><div class="separator" style="clear: both;"><div class="separator" style="clear: both;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiXMGNEYYVOJmOBiVbd6qUdjbs5ym_sqMuHSzSTctHt33AC0N0iaUR36xuUvTvfunEElrfvwL0u4Lg8d2BgEIpmqTwSr_TR5tbMTVKv974YgAuUHvIvoIsLux_zU2rg79GM2bFVYwp7F4o/s640/blogger-image-288431178.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiXMGNEYYVOJmOBiVbd6qUdjbs5ym_sqMuHSzSTctHt33AC0N0iaUR36xuUvTvfunEElrfvwL0u4Lg8d2BgEIpmqTwSr_TR5tbMTVKv974YgAuUHvIvoIsLux_zU2rg79GM2bFVYwp7F4o/s640/blogger-image-288431178.jpg"></a></div><div class="separator" style="clear: both;">Session 1 Addition</div><div class="separator" style="clear: both;"><div class="separator" style="clear: both;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgIkcdzgHRW9TI3NSE5RgbLhq0MDTCo9egeSa8xUI4nnL7H0vLh_xOEaANYl7-tIU0l2kLu_vcEO1BIF4-f9JUAqgVo-JJArCHPCDzYPirRQ3c0-6n_G7BHsg6VAuT2NeiYUeKFzkTvEO0/s640/blogger-image--813207178.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgIkcdzgHRW9TI3NSE5RgbLhq0MDTCo9egeSa8xUI4nnL7H0vLh_xOEaANYl7-tIU0l2kLu_vcEO1BIF4-f9JUAqgVo-JJArCHPCDzYPirRQ3c0-6n_G7BHsg6VAuT2NeiYUeKFzkTvEO0/s640/blogger-image--813207178.jpg"></a></div><div class="separator" style="clear: both;"><div class="separator" style="clear: both;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiufTnotHZG3UcPEGwggIfYmdHkdfEh50EOqlJp04Y585ZKyrm-rkYsdkuuKXsfuon0f9w_RdSik1nFap3FHjimETwlzI0BeYi_iLGuE9Th7yCcxYdkv7n8bSzqFfdsadnr7KZvFsmAvxo/s640/blogger-image--639446639.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiufTnotHZG3UcPEGwggIfYmdHkdfEh50EOqlJp04Y585ZKyrm-rkYsdkuuKXsfuon0f9w_RdSik1nFap3FHjimETwlzI0BeYi_iLGuE9Th7yCcxYdkv7n8bSzqFfdsadnr7KZvFsmAvxo/s640/blogger-image--639446639.jpg"></a></div><br></div><div class="separator" style="clear: both;"><div class="separator" style="clear: both;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgx-aIPt2AHd1CH_SulDIhsyMsdVj7MZnq7iOvJHf_qFgzbyHkmP6u90NSgQ2v2Q8sjnOWOAhWCyReRC7v2EszRDHJ3cYk-R4K8zH4LWTnAdVpg0tR3e_vyRZ47HvYjp13wej14VKc2ZjE/s640/blogger-image--1979503295.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgx-aIPt2AHd1CH_SulDIhsyMsdVj7MZnq7iOvJHf_qFgzbyHkmP6u90NSgQ2v2Q8sjnOWOAhWCyReRC7v2EszRDHJ3cYk-R4K8zH4LWTnAdVpg0tR3e_vyRZ47HvYjp13wej14VKc2ZjE/s640/blogger-image--1979503295.jpg"></a></div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;">Session 2 Subtraction </div><div class="separator" style="clear: both;"><div class="separator" style="clear: both;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjRJ66UuJGQu8GL4HwNF1v8MlrTIsIO3LjjDo41-rJJUIs3AjyCGkxIAVMXwD6wt684dbrw-ZjjIGT07KuzDj4bRJbxB1iRgAIY8sLQomhlHoQmATKevLH-6EM-8LZsbLi1s5l2i-bY4w8/s640/blogger-image-807871970.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjRJ66UuJGQu8GL4HwNF1v8MlrTIsIO3LjjDo41-rJJUIs3AjyCGkxIAVMXwD6wt684dbrw-ZjjIGT07KuzDj4bRJbxB1iRgAIY8sLQomhlHoQmATKevLH-6EM-8LZsbLi1s5l2i-bY4w8/s640/blogger-image-807871970.jpg"></a></div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;">Session 3 Multiplication </div><div class="separator" style="clear: both;"><div class="separator" style="clear: both;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiC-bnRpyl3Ql6G4kPtjqiA5ZaVjpCmSmFAa5HHnArufpp4aeSLrZ_xwzNC9VhJlPSBV6iYMSPLH-bDXTNdLf8DgNQdntMH1GnoLkMi_fCUvpWU5SjfHgbCctclUgkKMEoA25mjq_2t7z0/s640/blogger-image-1395308891.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiC-bnRpyl3Ql6G4kPtjqiA5ZaVjpCmSmFAa5HHnArufpp4aeSLrZ_xwzNC9VhJlPSBV6iYMSPLH-bDXTNdLf8DgNQdntMH1GnoLkMi_fCUvpWU5SjfHgbCctclUgkKMEoA25mjq_2t7z0/s640/blogger-image-1395308891.jpg"></a></div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;">Minister Nick should have taken advice from our class today. When you feel not confident about your answer, just check it quickly using one of these methods that can be done mentally and fairly quickly.</div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;"><div class="separator" style="clear: both;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh6Yp4UbNCLx6PQABspmUqup-5HFgk5NUpO7PveafFvP-Sj6P0-Lh8aAyQoC45PbISu1OXoiMH3QblZY2_CdXj_M0kDUX-vXwyudSg6EA1RgxqEj8o0oMKUhFw0cPrQcNF1LhMRy93lE5A/s640/blogger-image-1897368313.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh6Yp4UbNCLx6PQABspmUqup-5HFgk5NUpO7PveafFvP-Sj6P0-Lh8aAyQoC45PbISu1OXoiMH3QblZY2_CdXj_M0kDUX-vXwyudSg6EA1RgxqEj8o0oMKUhFw0cPrQcNF1LhMRy93lE5A/s640/blogger-image-1897368313.jpg"></a></div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;">These are examples of Phase 2 strategies from Baroody's three-phase model of learning times table.</div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;"><div class="separator" style="clear: both;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjVujo3yp6Gj2SADNVbNDOwqzZHbpYP67DLcBXx9VP-wNB1GtjTsIMtZFl9gTTpQVNXtxZXNrXM1dbPs8fZG8Cdt2eLLlZXcvVd3UCg9xpEVVRiE3UYE4pqzx_99LRrXA21Iq6Ky5u1zjA/s640/blogger-image--384441744.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjVujo3yp6Gj2SADNVbNDOwqzZHbpYP67DLcBXx9VP-wNB1GtjTsIMtZFl9gTTpQVNXtxZXNrXM1dbPs8fZG8Cdt2eLLlZXcvVd3UCg9xpEVVRiE3UYE4pqzx_99LRrXA21Iq6Ky5u1zjA/s640/blogger-image--384441744.jpg"></a></div><br></div><br></div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;"><div class="separator" style="clear: both;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjjd-qoa15xNFvVVRNOYZ6IEf2wN3vLGqJr6_fKCquOnaSxUV44F1k9OIGs3-GunoIC0ihHldqyrXDqOw8bPgBA_B_znyZgO0p8zlfZxQ-3g4q9KmNOhbSg5u_FnmEjctyUL_8uh4p4Mbo/s640/blogger-image--1271948774.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjjd-qoa15xNFvVVRNOYZ6IEf2wN3vLGqJr6_fKCquOnaSxUV44F1k9OIGs3-GunoIC0ihHldqyrXDqOw8bPgBA_B_znyZgO0p8zlfZxQ-3g4q9KmNOhbSg5u_FnmEjctyUL_8uh4p4Mbo/s640/blogger-image--1271948774.jpg"></a></div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;"><div class="separator" style="clear: both;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgeSSi_k2rW_FGl_eVNQBCpMCOnQjvjRpXYH_UbiUAW7-hIFapGkA6WtHJiITbdffChV7A6B79t-6vkOLJAOJtg3gvantaJx1VzPR0i1MIb_pQiao1z9ZJ4teqGUphVWOKqY3WWd0kZhKI/s640/blogger-image--1199409110.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgeSSi_k2rW_FGl_eVNQBCpMCOnQjvjRpXYH_UbiUAW7-hIFapGkA6WtHJiITbdffChV7A6B79t-6vkOLJAOJtg3gvantaJx1VzPR0i1MIb_pQiao1z9ZJ4teqGUphVWOKqY3WWd0kZhKI/s640/blogger-image--1199409110.jpg"></a></div></div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;"><div class="separator" style="clear: both;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiZInHqeKJ4nXpBPBgHuHKVjYjTZQRreYeO8wehFTBnm7kwHr_TA1IDVzmZ4tHxW3BxUatlO7YbhQUjPLg6xJBo5btEtJFYoFUMYThaOrDTG2mYCfQi3j2UwNG0SPbCt__t3oZN-FAGtwQ/s640/blogger-image--797268721.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiZInHqeKJ4nXpBPBgHuHKVjYjTZQRreYeO8wehFTBnm7kwHr_TA1IDVzmZ4tHxW3BxUatlO7YbhQUjPLg6xJBo5btEtJFYoFUMYThaOrDTG2mYCfQi3j2UwNG0SPbCt__t3oZN-FAGtwQ/s640/blogger-image--797268721.jpg"></a></div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;"><div class="separator" style="clear: both;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj1H-2-5o-R5PczW7Kg067eyrc1z3TElBL7cUsoTXi2z4mUuUYTihtFXx9XQONZ5-AGfOVVZkmgWELicMw6dz4LSc-QWCINKkJiAYs1UNc0UNGkZ8lzEOdIgflOBFSscee9vR92_eJEkP8/s640/blogger-image--1824191476.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj1H-2-5o-R5PczW7Kg067eyrc1z3TElBL7cUsoTXi2z4mUuUYTihtFXx9XQONZ5-AGfOVVZkmgWELicMw6dz4LSc-QWCINKkJiAYs1UNc0UNGkZ8lzEOdIgflOBFSscee9vR92_eJEkP8/s640/blogger-image--1824191476.jpg"></a></div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;">Challenging Advanced Students</div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;">1. What if ....? </div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;">What if the fraction of the remainder is a quarter instead of a third?</div><div class="separator" style="clear: both;">What if the toy's price is an exact amount to the nearest one pence?</div><div class="separator" style="clear: both;">What should the remaining amount be instead of £32?</div><div class="separator" style="clear: both;"><div class="separator" style="clear: both;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjgbeuQzhh3WnNyw01b4p-ATYVChLSNKBCe6xf-906zoBR3onq3Lfto0_rUClP6xABRnc2OtRr2-HO-rD929gyT1-gZDqjfK09PRPbn1MMDh1MaSTQ7nKEIytdq4QgIaIT5T2A6VZ6V-kc/s640/blogger-image--2141038866.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjgbeuQzhh3WnNyw01b4p-ATYVChLSNKBCe6xf-906zoBR3onq3Lfto0_rUClP6xABRnc2OtRr2-HO-rD929gyT1-gZDqjfK09PRPbn1MMDh1MaSTQ7nKEIytdq4QgIaIT5T2A6VZ6V-kc/s640/blogger-image--2141038866.jpg"></a></div><br></div><div class="separator" style="clear: both;">2. Journals</div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;">Instead of descriptive journals, students can do evaluative or investigative journals, for instance.</div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;">3. Write a Note, Invent a Method, Pose a Problem</div><div class="separator" style="clear: both;"><br></div><br></div><br></div><br></div><br></div><br></div><br></div><br></div><br></div><br></div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;"><br></div>Dr Yeap Ban Harhttp://www.blogger.com/profile/14995827943531633736noreply@blogger.com4tag:blogger.com,1999:blog-4282145449735579933.post-45364958242186005142018-03-17T01:56:00.001-07:002018-03-17T06:57:14.267-07:00Prague Session | 17 March 2018Session 5 <div><br></div><div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;"><div class="separator" style="clear: both;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi8jvrktRDw7kZsDVHbagijhhaHLEBXLOI47cwzYXN2R_jFh8lILNBf29MUesx_pCV8JTtW14_Eveli_BrNgpJLH2yDDes2SVStzEmkpYqHvCZYlDOWb4ZcCRL01lSnLCLXwPgasl8ClC8/s640/blogger-image--859096530.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi8jvrktRDw7kZsDVHbagijhhaHLEBXLOI47cwzYXN2R_jFh8lILNBf29MUesx_pCV8JTtW14_Eveli_BrNgpJLH2yDDes2SVStzEmkpYqHvCZYlDOWb4ZcCRL01lSnLCLXwPgasl8ClC8/s640/blogger-image--859096530.jpg"></a></div><div class="separator" style="clear: both;"><div class="separator" style="clear: both;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEitZfN0Najafmdq9uGpw5k7Z5-vLh5prchIs10gzjd9C2xn3JaerTFfgiG6C9kYybU4psujoud5RJ9cIDsdlNl6iqljCrLCcPUnWNkRUk6mT1qWYwR3PyxejqsrF3vytZZZLaM_g0wSr04/s640/blogger-image--1069443478.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEitZfN0Najafmdq9uGpw5k7Z5-vLh5prchIs10gzjd9C2xn3JaerTFfgiG6C9kYybU4psujoud5RJ9cIDsdlNl6iqljCrLCcPUnWNkRUk6mT1qWYwR3PyxejqsrF3vytZZZLaM_g0wSr04/s640/blogger-image--1069443478.jpg"></a></div><br></div><div class="separator" style="clear: both;"><div class="separator" style="clear: both;"><div class="separator" style="clear: both;"><div class="separator" style="clear: both;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiBO4yv-JDvdduTABMOL1_btLLbdfnXKCqcaU4SvdpAEa7gh9R_0b9_Jou2DHPjtAp-I3abG1mjDF3W7tQuV3TIPJxibfhEytcJrE7y6DP8Xym-F-9ID-zk9OR3TyZDv7PJEzKq8WssMjU/s640/blogger-image-398748835.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiBO4yv-JDvdduTABMOL1_btLLbdfnXKCqcaU4SvdpAEa7gh9R_0b9_Jou2DHPjtAp-I3abG1mjDF3W7tQuV3TIPJxibfhEytcJrE7y6DP8Xym-F-9ID-zk9OR3TyZDv7PJEzKq8WssMjU/s640/blogger-image-398748835.jpg"></a></div><br></div>The demands on young people in the marketplace are different to say four decades ago. Do our kids have the right competencies and mindset about what they are expected to be able to do in jobs that can give them a reasonable quality of life?</div><br></div><div class="separator" style="clear: both;"><div class="separator" style="clear: both;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgRRwDzdKH3Lh6Djfwm2jJF0ViZcqB8rg0Seb4BFQbPRxkk2lMLEX4bYnf3DTZvabusvZTTw25ARTR9jCI9s4ETuwXHlaCddk4rRilFW5pzsBGWz3H-GRCWwL0M5c9R8b3wd_VY-8rTirg/s640/blogger-image-2011324075.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgRRwDzdKH3Lh6Djfwm2jJF0ViZcqB8rg0Seb4BFQbPRxkk2lMLEX4bYnf3DTZvabusvZTTw25ARTR9jCI9s4ETuwXHlaCddk4rRilFW5pzsBGWz3H-GRCWwL0M5c9R8b3wd_VY-8rTirg/s640/blogger-image-2011324075.jpg"></a></div><br></div><br></div><div class="separator" style="clear: both;">Practice is variation not repetition. See the theory of variability by Dienes.</div><div class="separator" style="clear: both;">Practice is important as a consolidation tool in mathematics learning. </div><div class="separator" style="clear: both;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhvsEK5T3J1RsuZXsYLFBbB05K8fpccv6rzd-UvEs2tbBUsRGGo7g3hzQfDa-ihcst2T-ksilCO4ocD655iaLff_k_6hNRAA_slb_Y9850feWjrNwdxWSaMKCThc5OJjUEbDI1DwsnLWXc/s640/blogger-image-639106053.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhvsEK5T3J1RsuZXsYLFBbB05K8fpccv6rzd-UvEs2tbBUsRGGo7g3hzQfDa-ihcst2T-ksilCO4ocD655iaLff_k_6hNRAA_slb_Y9850feWjrNwdxWSaMKCThc5OJjUEbDI1DwsnLWXc/s640/blogger-image-639106053.jpg"></a></div><div class="separator" style="clear: both;">Not drills which is characterised by repetitive work.</div><div class="separator" style="clear: both;">Not rote memorisation.</div><div class="separator" style="clear: both;">So how do kids learn multiplication facts.</div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;"><div class="separator" style="clear: both;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiO30df09ILsYEUmiuoJwHD1JoeAXN07TM1-qqB6NCCdejwTDycP-xDdValE1rzhzWAFjsEu8toEGM6LgkCl3w4dU3IBXaoyNWeo_zX2-PpcTdqihoA8LgqSXrwNqsCAQwq8N6TajfeK_c/s640/blogger-image--1465890206.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiO30df09ILsYEUmiuoJwHD1JoeAXN07TM1-qqB6NCCdejwTDycP-xDdValE1rzhzWAFjsEu8toEGM6LgkCl3w4dU3IBXaoyNWeo_zX2-PpcTdqihoA8LgqSXrwNqsCAQwq8N6TajfeK_c/s640/blogger-image--1465890206.jpg"></a></div><div class="separator" style="clear: both;"><div class="separator" style="clear: both;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhlQ0U9Q8RIw1ar2uu1jCGycVU4xGduJRasIZM39SAIyybrgJLPLOx4cu-89Dr-tnqhKuKRp80NalpkWj-zihG-3GWnHtQwqFWs_ovhmIURxbfYOQ25smyJTsrHvQGZ18K929pG4MZ22HI/s640/blogger-image--1527859377.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhlQ0U9Q8RIw1ar2uu1jCGycVU4xGduJRasIZM39SAIyybrgJLPLOx4cu-89Dr-tnqhKuKRp80NalpkWj-zihG-3GWnHtQwqFWs_ovhmIURxbfYOQ25smyJTsrHvQGZ18K929pG4MZ22HI/s640/blogger-image--1527859377.jpg"></a></div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;">Thank you, class, for helping Nick.</div><div class="separator" style="clear: both;">He will be grateful to you guys.If he is listening.</div></div></div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;"><div class="separator" style="clear: both;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjkTECkLBOfHHrFvIGrSRELXYnzuqyHRM40cXxAQrouNFcnUdTN5SfuzJyZCHwk-5b6Uc6WNdTWb61K37M7LpfOXVeXBekjA8r8LuJRmy0Cl7ikfjphkLxZdY-wKitWIZkZjjnZqEPO68M/s640/blogger-image-1195095000.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjkTECkLBOfHHrFvIGrSRELXYnzuqyHRM40cXxAQrouNFcnUdTN5SfuzJyZCHwk-5b6Uc6WNdTWb61K37M7LpfOXVeXBekjA8r8LuJRmy0Cl7ikfjphkLxZdY-wKitWIZkZjjnZqEPO68M/s640/blogger-image-1195095000.jpg"></a></div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;"><div class="separator" style="clear: both;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiDIcA8_zITyTvtW4x1VMFM_qW7UyN1L5sUuhiCkSK-H-ErgIHLEmLgi6kwZ2nbbZGplLCvPcj8bCAoxM-XUcWFgugC9fzQDQXUF_wkBPNjoNw2OqmgbcDRigkquFsTfKDxxiA4FZR6k70/s640/blogger-image-1489276058.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiDIcA8_zITyTvtW4x1VMFM_qW7UyN1L5sUuhiCkSK-H-ErgIHLEmLgi6kwZ2nbbZGplLCvPcj8bCAoxM-XUcWFgugC9fzQDQXUF_wkBPNjoNw2OqmgbcDRigkquFsTfKDxxiA4FZR6k70/s640/blogger-image-1489276058.jpg"></a></div><br></div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;">But can we do drills.</div><div class="separator" style="clear: both;">Well, let's see.</div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;">Spoiler Alert: The answer is yes but how it can be done in an acceptable, even productive way, that can lead to learning in the true sesame of the word.</div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;"><div class="separator" style="clear: both;"><div class="separator" style="clear: both;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj0zP3C70qyElIImilv2lnmoaX-vIZ9PYKrZmz0PqRB9kviSpWEIEnypCnS958Nx3gX8Z-zxbBaKspuP6zinPnFqPohIXpJGGR9UT3D7rBEJF_wDr-QJagaxNFtAQ-8DHH6BjLDGDaMUVA/s640/blogger-image-548008485.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj0zP3C70qyElIImilv2lnmoaX-vIZ9PYKrZmz0PqRB9kviSpWEIEnypCnS958Nx3gX8Z-zxbBaKspuP6zinPnFqPohIXpJGGR9UT3D7rBEJF_wDr-QJagaxNFtAQ-8DHH6BjLDGDaMUVA/s640/blogger-image-548008485.jpg"></a></div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;">Colleagues think that this drill activity is productive because </div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;">A. competencies like .... are developed</div><div class="separator" style="clear: both;">B. productive mindset like .... are developed</div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;">So, drills are acceptable if they can lead to high-level competencies and productive mindset otherwise it is illegal to do drills.</div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;">I am glad you had fun.</div><br></div><br></div><br></div><br></div>Dr Yeap Ban Harhttp://www.blogger.com/profile/14995827943531633736noreply@blogger.com9tag:blogger.com,1999:blog-4282145449735579933.post-15052710216715227282018-03-16T08:13:00.001-07:002018-03-17T09:12:25.798-07:00Prague Session | 17 March 2018<div>CEESA Conference - Session 7</div>Bar Model in Solving Word Problems <div><br></div><div><span style="font-family: 'Helvetica Neue Light', HelveticaNeue-Light, helvetica, arial, sans-serif; -webkit-text-size-adjust: auto; background-color: rgba(255, 255, 255, 0);">Yeap Ban Har </span><div><div><span style="-webkit-text-size-adjust: auto; background-color: rgba(255, 255, 255, 0);">Pathlight School and Anglo Singapore International School</span></div><div><span style="-webkit-text-size-adjust: auto; background-color: rgba(255, 255, 255, 0);"><br></span></div><div><span style="-webkit-text-size-adjust: auto; background-color: rgba(255, 255, 255, 0);">yeapbanhar@gmail.com</span></div><div><span style="-webkit-text-size-adjust: auto; background-color: rgba(255, 255, 255, 0);">Twitter @banhar</span></div><div><span style="-webkit-text-size-adjust: auto; background-color: rgba(255, 255, 255, 0);">www.facebook.com/BanHarMaths</span></div></div><div><br></div><div>We will likely solve two or three of these during the session and the rest are ... your homework.</div><div>To be submitted at CEESA in Warsaw next year. Kidding ... we will make you stay back to complete all the problem before we dismiss you.</div><div><br></div><div><div class="separator" style="clear: both;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj_GfsCFMIHpe2VlxeO79U260WqhAF1WSJ07uCUk7g6Il0OM4ORlvS4kQjLN336uqa3979A9fs0hGtSvlD_2oesVnLHXSqakT8VoEVRm4oKhyphenhyphenVOHAdw8Rv-2WLXTB8Rvf5MlRLae3L07fA/s640/blogger-image--899865697.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj_GfsCFMIHpe2VlxeO79U260WqhAF1WSJ07uCUk7g6Il0OM4ORlvS4kQjLN336uqa3979A9fs0hGtSvlD_2oesVnLHXSqakT8VoEVRm4oKhyphenhyphenVOHAdw8Rv-2WLXTB8Rvf5MlRLae3L07fA/s640/blogger-image--899865697.jpg"></a></div><br></div><div><br></div><div>Warm Up Problems </div><div><br></div><div><div class="separator" style="clear: both;"><div class="separator" style="clear: both;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiDIVw6ocOB96Hy2tGWMWT96mKO4JgmV2loaYpVvqJzcNTLZYLsbE6A8Lou2JQoxwZ9eR_Ek5IOiFw5_whvzKzXRosbbkCi4Gc0wgcDUCCXimdyh7sc0cpcV0xVmih8ovrjasYfPgE3ANI/s640/blogger-image--761541403.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiDIVw6ocOB96Hy2tGWMWT96mKO4JgmV2loaYpVvqJzcNTLZYLsbE6A8Lou2JQoxwZ9eR_Ek5IOiFw5_whvzKzXRosbbkCi4Gc0wgcDUCCXimdyh7sc0cpcV0xVmih8ovrjasYfPgE3ANI/s640/blogger-image--761541403.jpg"></a></div><div class="separator" style="clear: both;"><div class="separator" style="clear: both;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgNu9y3ZfqJkz_Q4Bv2UzSnf7TXQdrrZAXpdIkGcqiTNqxJybXQijiWs9WmwE1dPTpCxkUF4Go8qtrsuqyB1lNzNfquM41DnIU5bY98iYHKvL3o4iXwYnjl8qy6wS-2s9C7lynsrL6_e3o/s640/blogger-image-600587135.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgNu9y3ZfqJkz_Q4Bv2UzSnf7TXQdrrZAXpdIkGcqiTNqxJybXQijiWs9WmwE1dPTpCxkUF4Go8qtrsuqyB1lNzNfquM41DnIU5bY98iYHKvL3o4iXwYnjl8qy6wS-2s9C7lynsrL6_e3o/s640/blogger-image-600587135.jpg"></a></div><br></div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;">Let's have a go at one ...</div></div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgO-QsM-G7HTDOLzuymO9ZbvYIb3vMQA7-NyRgznSFvZbL-WRp6CgwweQoXCmt9nuIX_GSBzKq3FlMZsdYUazDxyg6iitJFvQdSdfBzHP6C3Ja6N0MGzbKWz4wWi1T8sFnpPBG9haaBQ2Q/s640/blogger-image-896404573.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgO-QsM-G7HTDOLzuymO9ZbvYIb3vMQA7-NyRgznSFvZbL-WRp6CgwweQoXCmt9nuIX_GSBzKq3FlMZsdYUazDxyg6iitJFvQdSdfBzHP6C3Ja6N0MGzbKWz4wWi1T8sFnpPBG9haaBQ2Q/s640/blogger-image-896404573.jpg"></a></div><div class="separator" style="clear: both;"><div class="separator" style="clear: both;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjutR9XS-bfF3VIODWMpSJAXUJfyykjYjzdqMIc604k6u_ug5Z9bGokMgStv9OXClAdPFeTnVwdMsqPJOHhBlx20iGf8I8Lm3ko6YEk5SWyJIxEWlGvNvVgQLXMmzdhCgR8huPsa0gJXtI/s640/blogger-image-879538759.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjutR9XS-bfF3VIODWMpSJAXUJfyykjYjzdqMIc604k6u_ug5Z9bGokMgStv9OXClAdPFeTnVwdMsqPJOHhBlx20iGf8I8Lm3ko6YEk5SWyJIxEWlGvNvVgQLXMmzdhCgR8huPsa0gJXtI/s640/blogger-image-879538759.jpg"></a></div><br></div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;">Slightly challenging ones ...</div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;"><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;">A bit of exercise before you head home ....</div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;"><div class="separator" style="clear: both;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjK_KdgBUEVT8UfKt5UCeTIPzM5vBykAI5bv7-iDugFdm_UsrKuuQM0PVs7OYCWNefJl9oCeqPykF83IYY-cjJrBPA-xob9Gqn7rPpj75iPdTvnZ-YD5lNlW4sG4C2PJMbANkN4MyofqcU/s640/blogger-image--217985890.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjK_KdgBUEVT8UfKt5UCeTIPzM5vBykAI5bv7-iDugFdm_UsrKuuQM0PVs7OYCWNefJl9oCeqPykF83IYY-cjJrBPA-xob9Gqn7rPpj75iPdTvnZ-YD5lNlW4sG4C2PJMbANkN4MyofqcU/s640/blogger-image--217985890.jpg"></a></div><div class="separator" style="clear: both;"><div class="separator" style="clear: both;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhZ6unsPUN_CQ7CoTD1wDJVUCP_7PEz4MY20dQNjT5k4T2p7wyVr1W5sRlDwbuNJ5nkXjjpv6iUYjByZrkq2N4k5PtO5dTTuAgDopT5POBsQ0jdmi731E8pctZ-AV2PEXDwAAyv4AIFmek/s640/blogger-image--1550373096.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhZ6unsPUN_CQ7CoTD1wDJVUCP_7PEz4MY20dQNjT5k4T2p7wyVr1W5sRlDwbuNJ5nkXjjpv6iUYjByZrkq2N4k5PtO5dTTuAgDopT5POBsQ0jdmi731E8pctZ-AV2PEXDwAAyv4AIFmek/s640/blogger-image--1550373096.jpg"></a></div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;">Homework</div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;">Problem A</div></div><div class="separator" style="clear: both;"><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;"><div class="separator" style="clear: both;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhpIFkXuPsXAL7P36qKluasnhAGDL1-bcnsCB5cdNCW4YwsH-XkbywBYioOpWR5meds3A-MHplURYMn20ebIJHakBi1oOUsFi2xGOy3kxULogYgSf65bmMbKzsuk90dBOmsKCaeni8GtUw/s640/blogger-image--404951553.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhpIFkXuPsXAL7P36qKluasnhAGDL1-bcnsCB5cdNCW4YwsH-XkbywBYioOpWR5meds3A-MHplURYMn20ebIJHakBi1oOUsFi2xGOy3kxULogYgSf65bmMbKzsuk90dBOmsKCaeni8GtUw/s640/blogger-image--404951553.jpg"></a></div><br></div><div class="separator" style="clear: both;">Problem B</div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhOPrt8UiwXvc_tB77lboW_d1GNpMOyiT7Ylt1y5c7ac57g5MY7c1vjo6EFfH6Gw2BRnHvdaW6RNO_Wb9pVg7Y7Li-VzRhZxpUQ2QLVEvBjMhn1wDNuxwQlYKFG6WcNP4NIOVm9_WJC05g/s640/blogger-image--58068859.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhOPrt8UiwXvc_tB77lboW_d1GNpMOyiT7Ylt1y5c7ac57g5MY7c1vjo6EFfH6Gw2BRnHvdaW6RNO_Wb9pVg7Y7Li-VzRhZxpUQ2QLVEvBjMhn1wDNuxwQlYKFG6WcNP4NIOVm9_WJC05g/s640/blogger-image--58068859.jpg"></a></div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;">Safe journey home to all!</div><br></div><br></div><br></div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;"><br></div><br><div><br></div></div></div>Dr Yeap Ban Harhttp://www.blogger.com/profile/14995827943531633736noreply@blogger.com2tag:blogger.com,1999:blog-4282145449735579933.post-61510744230609172102018-03-15T21:57:00.001-07:002018-03-16T08:29:45.092-07:00Prague Session | 16 March 2018CEESA Conference - Session 1<div>Fractions - Why Do Students Find Them Difficult?</div><div><br></div><div><br></div><div><div><span style="-webkit-text-size-adjust: auto; background-color: rgba(255, 255, 255, 0);">Yeap Ban Har </span></div><div><span style="-webkit-text-size-adjust: auto; background-color: rgba(255, 255, 255, 0);">Pathlight School and Anglo Singapore International School</span></div><div><span style="-webkit-text-size-adjust: auto; background-color: rgba(255, 255, 255, 0);"><br></span></div><div><span style="-webkit-text-size-adjust: auto; background-color: rgba(255, 255, 255, 0);">yeapbanhar@gmail.com</span></div><div><span style="-webkit-text-size-adjust: auto; background-color: rgba(255, 255, 255, 0);">Twitter @banhar</span></div><div><span style="-webkit-text-size-adjust: auto; background-color: rgba(255, 255, 255, 0);">www.facebook.com/BanHarMaths</span></div></div><div><span style="-webkit-text-size-adjust: auto; background-color: rgba(255, 255, 255, 0);"><br></span></div><div><div class="separator" style="clear: both;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj1CEKEMAeTkbQrE8tcgWt_vHFkIlHqDkJ3QNBH7kX8cX3TNrf_e97nVfHlso_XpPlI6aC056pX8-ruC4crtSc0_wMO2snvAxNdtx4vab1xd8_-L91WFTNJVMq-sfOKXwVnxUlThwc8VJc/s640/blogger-image--2124700290.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj1CEKEMAeTkbQrE8tcgWt_vHFkIlHqDkJ3QNBH7kX8cX3TNrf_e97nVfHlso_XpPlI6aC056pX8-ruC4crtSc0_wMO2snvAxNdtx4vab1xd8_-L91WFTNJVMq-sfOKXwVnxUlThwc8VJc/s640/blogger-image--2124700290.jpg"></a></div><br></div><div>Let's solve two problems to see what is it that makes fractions difficult and what are the main ideas students need in learning fractions.</div><div><br></div><div>This discussion add to the learning experiences that we discussed at the pre-conference. The learning experiences are needed for all lessons. Today's 90-minute discussion focuses on things specific to learning fractions. </div><div><br></div><div>A major culprit is the notation used to represent fractions. Do students know that the numerator is but a name? If the know that then everything else they need is from whole number ideas - except equivalent fractions.</div><div><br></div><div><div class="separator" style="clear: both;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEia6iWR9UaQB5sqlva2EL31l-wYujmw3SiaP-Ny3pkEW4c4WwbShOiBevE_XX18nrTftPigzdplSV0i1OasBN5R5ntYRTbmPbiCRaqYmPW63Loor9_0peq_vaO8CTSfzF5Tn-UV72RY1ro/s640/blogger-image-1277353847.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEia6iWR9UaQB5sqlva2EL31l-wYujmw3SiaP-Ny3pkEW4c4WwbShOiBevE_XX18nrTftPigzdplSV0i1OasBN5R5ntYRTbmPbiCRaqYmPW63Loor9_0peq_vaO8CTSfzF5Tn-UV72RY1ro/s640/blogger-image-1277353847.jpg"></a></div><br></div><div><br></div><div><br></div><div><div class="separator" style="clear: both;"><span style="margin-left: 1em; margin-right: 1em;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi4MQA8fIiAT0O0dRsbIB1K4GMdrd7nQSWPopQgheLjf0UvJ8WaQmj0bxerFlx47eGWJURjInMycSpmThiyI_4qU_qDQ-yRhku5EaRONs4at6UjiQ-q9dtD6ggY0MPDtWagvu6qP6X2z10/s640/blogger-image-1005450893.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi4MQA8fIiAT0O0dRsbIB1K4GMdrd7nQSWPopQgheLjf0UvJ8WaQmj0bxerFlx47eGWJURjInMycSpmThiyI_4qU_qDQ-yRhku5EaRONs4at6UjiQ-q9dtD6ggY0MPDtWagvu6qP6X2z10/s640/blogger-image-1005450893.jpg"></a></span><div class="separator" style="margin-left: 1em; margin-right: 1em; clear: both;"><span style="margin-left: 1em; margin-right: 1em;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi4MQA8fIiAT0O0dRsbIB1K4GMdrd7nQSWPopQgheLjf0UvJ8WaQmj0bxerFlx47eGWJURjInMycSpmThiyI_4qU_qDQ-yRhku5EaRONs4at6UjiQ-q9dtD6ggY0MPDtWagvu6qP6X2z10/s640/blogger-image-1005450893.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiKxu22e07Pzk4y-tG7NoKEfxcywRRC6_c97g73xwUAxG05cSP3mBnQ_7PP16ABL96IAvc3dsfLh4W6GRJgYU8jOtj706nFYK8ND9e3g0lBwqwBTiAJpO6g4QPlDefjsKKaouUvDdaFWdg/s640/blogger-image-156211277.jpg"></a></span></div><div class="separator" style="margin-left: 1em; margin-right: 1em; clear: both;">Do we focus on the teaching of equivalent fractions.</div><div class="separator" style="margin-left: 1em; margin-right: 1em; clear: both;"><br></div><div class="separator" style="margin-left: 1em; margin-right: 1em; clear: both;">Through Problem 1, we see the learning of equivalent fractions in a conceptual way that requires visualisation and meaning-making. Students lack of relational and instrumental understanding of fractions is one major obstacle in learning fractions.</div><div class="separator" style="margin-left: 1em; margin-right: 1em; clear: both;"><br></div><div class="separator" style="margin-left: 1em; margin-right: 1em; clear: both;">While we obsess with additions and multiplication facts for whole number concepts, do we pay the same amount of attention to the basics in fractions which is renaming a fraction in multiple ways? In the learning of finding equivalent fractions, are students merely learning the procedures without any kind of reasonable understanding? Is the learning connected to previous knowledge or is it "multiply the numerator and denominator with the same number"?</div><div class="separator" style="margin-left: 1em; margin-right: 1em; clear: both;"><br></div><div class="separator" style="margin-left: 1em; margin-right: 1em; clear: both;"><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiptwHGOAvS47CATQlhSoTqw2NhfNa39z4yM6f0b9a8ZeiacimFYKVEoE14BRYLV5Y-vurK5-cVdFbzWBw8b16IFQ064gzrHfyOe1vRzRJaSvJ7K9lDZyhk2R0xondiJvRNsuvHm7wi4A8/s640/blogger-image-1359591978.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiptwHGOAvS47CATQlhSoTqw2NhfNa39z4yM6f0b9a8ZeiacimFYKVEoE14BRYLV5Y-vurK5-cVdFbzWBw8b16IFQ064gzrHfyOe1vRzRJaSvJ7K9lDZyhk2R0xondiJvRNsuvHm7wi4A8/s640/blogger-image-1359591978.jpg"></a></div><br></div></div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;"><div class="separator" style="clear: both;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEghrWLaL6xx4QovSP_Mk1kcojP6f86wQTWNffEh2zP8iN4FEmuZml4s_AUPqZTGA4RcJcvRx4as6m8t4TLfneeQrDh7KOwT0UKdOkw392ZSfGnoIHaNg22VVaHkTz0huFbQWUC3WmvYSU4/s640/blogger-image-261763586.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEghrWLaL6xx4QovSP_Mk1kcojP6f86wQTWNffEh2zP8iN4FEmuZml4s_AUPqZTGA4RcJcvRx4as6m8t4TLfneeQrDh7KOwT0UKdOkw392ZSfGnoIHaNg22VVaHkTz0huFbQWUC3WmvYSU4/s640/blogger-image-261763586.jpg"></a></div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;"><div class="separator" style="clear: both;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj3C712zVNfMni5ZO9OY1XL2wJbZA_fjrHgOfLJoHb-Du4zIhyphenhyphenhyphenhyphenud2yAaPSepmqnxjPvd81XU0zxeiNxv94dafU7Noxz0BJzfIwYkw3xBvl0Xh053SwFxMzLU2blf6EwkgakOd_b_Q-cQ/s640/blogger-image--577283362.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj3C712zVNfMni5ZO9OY1XL2wJbZA_fjrHgOfLJoHb-Du4zIhyphenhyphenhyphenhyphenud2yAaPSepmqnxjPvd81XU0zxeiNxv94dafU7Noxz0BJzfIwYkw3xBvl0Xh053SwFxMzLU2blf6EwkgakOd_b_Q-cQ/s640/blogger-image--577283362.jpg"></a></div><br></div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;"><div class="separator" style="clear: both;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjg8s30SbZOA99YMT3wgVdXJHxxzNCPTPeHWUlvFMQ2OJQyl4xSvURZnubnOzrGsdS7OOf3_EshyC5Pn17PcMu7Zv5u09IL9rBcaazVwpvjNJjvPWidw__ih_rxsJDyBaF1tFZL06pUbn0/s640/blogger-image--916852885.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjg8s30SbZOA99YMT3wgVdXJHxxzNCPTPeHWUlvFMQ2OJQyl4xSvURZnubnOzrGsdS7OOf3_EshyC5Pn17PcMu7Zv5u09IL9rBcaazVwpvjNJjvPWidw__ih_rxsJDyBaF1tFZL06pUbn0/s640/blogger-image--916852885.jpg"></a></div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;"><div class="separator" style="clear: both;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhUvnu_EfWthjGLUERqJltGyMgfFFDfRHY7-XgO2Iu-otNImO5tvaSSYRCPS9MLxSk7-HUFcdyZ5Bi43daJoSeMN5S2ziTOh4CvJ_gB8qDplilMr5h3zwTh4Al4Enr3Oj7OGzifUFl7oEc/s640/blogger-image--390108167.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhUvnu_EfWthjGLUERqJltGyMgfFFDfRHY7-XgO2Iu-otNImO5tvaSSYRCPS9MLxSk7-HUFcdyZ5Bi43daJoSeMN5S2ziTOh4CvJ_gB8qDplilMr5h3zwTh4Al4Enr3Oj7OGzifUFl7oEc/s640/blogger-image--390108167.jpg"></a></div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;"><div class="separator" style="clear: both;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh4bTWtpZSKnmKI3VF0icXtWT0IkbJS-yScM3F8sr81eW3_scMmNNPM6gsc6sVIEpmgSQu5-ZflerJS923HzVy4p2imAhelG-SKdrEPDIgaXFKk318ojqkMj4SKhmZprcU5ufsBqdUGznY/s640/blogger-image--1772131555.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh4bTWtpZSKnmKI3VF0icXtWT0IkbJS-yScM3F8sr81eW3_scMmNNPM6gsc6sVIEpmgSQu5-ZflerJS923HzVy4p2imAhelG-SKdrEPDIgaXFKk318ojqkMj4SKhmZprcU5ufsBqdUGznY/s640/blogger-image--1772131555.jpg"></a></div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;">In summary, problems with fractions can be fixed by teaching the fraction notation and equivalent fractions well.</div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;">That's all. </div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;">As I said, this is one of the easiest problem in the learning of mathematics to fix.</div><br></div><br></div><br></div><br></div><br></div>Dr Yeap Ban Harhttp://www.blogger.com/profile/14995827943531633736noreply@blogger.com13tag:blogger.com,1999:blog-4282145449735579933.post-44365200661261549662018-03-14T21:14:00.001-07:002018-03-16T08:30:03.225-07:00Prague Workshop | 15 March 2018<div>CEESA Pre-Conference Workshop on Teaching Mathematics: Five Critical Learning Experiences</div><div>at International School of Prague</div><div><br></div>https://www.ceesa2018.com/program/pre-conference/item/35-teaching-mathematics-five-critical-learning-experiences-by-ban-har-yeap<div><br></div><div>Yeap Ban Har </div><div>Pathlight School and <span style="font-family: 'Helvetica Neue Light', HelveticaNeue-Light, helvetica, arial, sans-serif;">Anglo Singapore International School</span></div><div><br></div><div>yeapbanhar@gmail.com</div><div>Twitter @banhar</div><div>www.facebook.com/BanHarMaths</div><div><br></div><div><div><div class="separator" style="clear: both;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgTNSqjBy1TeZeJpuBJrCiivaUgRBP_1u3KaV7-Yx1bkCguzNKr5_bxwmekotsbHQ3YN0F5fQTGiZf-G-0nEnW6gICGvNobTdMBe7MC36ZamCXL3LgzEjRli7m5BRvLl96y-R7smIbGMxw/s640/blogger-image-1856272276.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgTNSqjBy1TeZeJpuBJrCiivaUgRBP_1u3KaV7-Yx1bkCguzNKr5_bxwmekotsbHQ3YN0F5fQTGiZf-G-0nEnW6gICGvNobTdMBe7MC36ZamCXL3LgzEjRli7m5BRvLl96y-R7smIbGMxw/s640/blogger-image-1856272276.jpg"></a></div><br></div><div>1. Some Data on Achievement (e.g. PISA)</div><div><br></div><div><div class="separator" style="clear: both;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi72yLpukAdi92hbRw6sjt1fqhFIghyphenhyphend9dtbQHSqSmBqevYoCwQ5-TFeWEyHM88NB6RTcImwmY6FJWM7lRMvMKy4wt2o1Tbjk_7ORWiS5-7vv1LtKFUmL7Xp0Bsp7Zknwu2G1r1JYKwbxs/s640/blogger-image-1507715155.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi72yLpukAdi92hbRw6sjt1fqhFIghyphenhyphend9dtbQHSqSmBqevYoCwQ5-TFeWEyHM88NB6RTcImwmY6FJWM7lRMvMKy4wt2o1Tbjk_7ORWiS5-7vv1LtKFUmL7Xp0Bsp7Zknwu2G1r1JYKwbxs/s640/blogger-image-1507715155.jpg"></a></div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;"><div class="separator" style="clear: both;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjssL3EE9L07jIIooxcsqG4nawXmaFotm-rGEH7nFhLUr3YFOIAc1Y5thbHcVMCQLhu_6Sgv7SBGg4lH1IpWH5HsV6ysdTbu_kZgqX4P5PgJ63pZfeJ9ycgVxYRtxHygFomSEppLIZPaXk/s640/blogger-image-304666266.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjssL3EE9L07jIIooxcsqG4nawXmaFotm-rGEH7nFhLUr3YFOIAc1Y5thbHcVMCQLhu_6Sgv7SBGg4lH1IpWH5HsV6ysdTbu_kZgqX4P5PgJ63pZfeJ9ycgVxYRtxHygFomSEppLIZPaXk/s640/blogger-image-304666266.jpg"></a></div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;"><div class="separator" style="clear: both;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj_IIcdcbTp1Z-pKa2aqauDiCaqkWpP2SH839ube-tmqBqJFoD5fqz5biiTB10WglmJ6QfcKPxAxWfU15KRhxp-GshLsjn2JHBjVNNR9zLdeC7WTtBUWddGpcskQZbjFq-Ypz33qjt9cHo/s640/blogger-image--1273952133.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj_IIcdcbTp1Z-pKa2aqauDiCaqkWpP2SH839ube-tmqBqJFoD5fqz5biiTB10WglmJ6QfcKPxAxWfU15KRhxp-GshLsjn2JHBjVNNR9zLdeC7WTtBUWddGpcskQZbjFq-Ypz33qjt9cHo/s640/blogger-image--1273952133.jpg"></a></div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;"><div class="separator" style="clear: both;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgrxs7GmxrmuvNs5CTiMrcEgv5sI6wbZzctMNIGSFfnuNZrLFMOdNcK0MCMjMB7f4odyFA0BhN0Z_TPnKaiZGkbX9zf-0IBhBGhMdFDFdddmXrnzFs5SOnDcBBlyyHlgw9Y1hWUKFgd3yA/s640/blogger-image-731997985.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgrxs7GmxrmuvNs5CTiMrcEgv5sI6wbZzctMNIGSFfnuNZrLFMOdNcK0MCMjMB7f4odyFA0BhN0Z_TPnKaiZGkbX9zf-0IBhBGhMdFDFdddmXrnzFs5SOnDcBBlyyHlgw9Y1hWUKFgd3yA/s640/blogger-image-731997985.jpg"></a></div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;"><div class="separator" style="clear: both;"><div class="separator" style="clear: both;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEis88-00bpVU5XZ4UJLlpY3ICYwSjgQWEHjj1dHCSgNlI5B1-T-uoWJll2osgT2435MNsC7Obcbq-02i5F5x5tbzD2L0ybm61McXUTXitfo5qfdO8SXf7TxtvlGCvVMOonvE0AJ8k7ZfWU/s640/blogger-image--1911713717.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEis88-00bpVU5XZ4UJLlpY3ICYwSjgQWEHjj1dHCSgNlI5B1-T-uoWJll2osgT2435MNsC7Obcbq-02i5F5x5tbzD2L0ybm61McXUTXitfo5qfdO8SXf7TxtvlGCvVMOonvE0AJ8k7ZfWU/s640/blogger-image--1911713717.jpg"></a></div><div class="separator" style="clear: both;">Another well-known study is TIMSS</div><div class="separator" style="clear: both;"><div class="separator" style="clear: both;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjdVKzx_YsRoi99M5tWQBiRBAdGW_vav9kNglLXm_rVQuvM3kDshAmtJMlKBZ7Hmfc6EtUOGxG7Jec761K_nb6teHOzcVwDrqRR4AsF7QSVP7jj2u_ifsvPRcuxtLs3HBu4PRZHfAzpCMs/s640/blogger-image-1975431432.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjdVKzx_YsRoi99M5tWQBiRBAdGW_vav9kNglLXm_rVQuvM3kDshAmtJMlKBZ7Hmfc6EtUOGxG7Jec761K_nb6teHOzcVwDrqRR4AsF7QSVP7jj2u_ifsvPRcuxtLs3HBu4PRZHfAzpCMs/s640/blogger-image-1975431432.jpg"></a></div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;"><div class="separator" style="clear: both;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj_A-mTMqlhYUeoZ4P6Lw1JTHdEyStnyC9VOzJAaYIGlw2kt6ybhklhaixrmyLy4yuacE7vmwOANohsuG42B24mkM2-SvzjLfFqGIq2j1C5pJmuZGCMLziPp2pkdTfkIiWvZK2fB-I0HzE/s640/blogger-image-151941613.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj_A-mTMqlhYUeoZ4P6Lw1JTHdEyStnyC9VOzJAaYIGlw2kt6ybhklhaixrmyLy4yuacE7vmwOANohsuG42B24mkM2-SvzjLfFqGIq2j1C5pJmuZGCMLziPp2pkdTfkIiWvZK2fB-I0HzE/s640/blogger-image-151941613.jpg"></a></div></div></div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;">In this workshop, we will examine critical learning experiences that can result in adequate learning even amongst the weakest learners with the average learners performing at a high level while the learning of the most advanced learners are not compromised.</div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;">We will also get to observe a class at International School of Prague and hear about one initiative at the school from two colleagues.</div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;">2. Case Studies for Workshop</div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;">The first part was to experience the learning experiences ourselves. Two ISP colleagues showed us one way to use the physical space - students writing on the wall spaces around the room - to provide a better learning experience </div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;">Some of the apps that I use in this workshop are from this list.</div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;"><div class="separator" style="clear: both;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhTRFFq17reUqgEWDCkcbglyBt1_Ydg6pw5vykO5Tt5mfr1tpF134SFVUcqsMJwa9FWeJ73vgzb5_uRqeJIr6nmvydYrLNO7si7E67LvVOcseFgM0lKZyhk_K-2DAYa13w6tTFVqkrLZVA/s640/blogger-image--1367945040.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhTRFFq17reUqgEWDCkcbglyBt1_Ydg6pw5vykO5Tt5mfr1tpF134SFVUcqsMJwa9FWeJ73vgzb5_uRqeJIr6nmvydYrLNO7si7E67LvVOcseFgM0lKZyhk_K-2DAYa13w6tTFVqkrLZVA/s640/blogger-image--1367945040.jpg"></a></div><div class="separator" style="clear: both;">Pieces Basic is another free app that I used in place of the base ten blocks from BrainingCamp.</div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;">Case Study 1 - Sharing Art Paper</div><div class="separator" style="clear: both;"><div class="separator" style="clear: both;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgWh_EcavIPI5vNr3JB76Cw2l0szcJhy-aR57pzzirv3qduWyQ99-94l1WSEx7EUZZzq0N-gRT6rlKIIgriEPOoaajwAD8n4s5QGkAKeDlkfe85G6cXlqC9It_9LIeBCIR0q5BXr1hUOA0/s640/blogger-image-577182671.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgWh_EcavIPI5vNr3JB76Cw2l0szcJhy-aR57pzzirv3qduWyQ99-94l1WSEx7EUZZzq0N-gRT6rlKIIgriEPOoaajwAD8n4s5QGkAKeDlkfe85G6cXlqC9It_9LIeBCIR0q5BXr1hUOA0/s640/blogger-image-577182671.jpg"></a></div><div class="separator" style="clear: both;"><div class="separator" style="clear: both;"><div class="separator" style="clear: both;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjoK2JFElAvNOUxkDWmG4upyzuGeDdoCOn_zbGQS2SiI6cG8MAdX0UkvIi0-h1KoTZfQsJXY3mFdlFDaEmyH0Mob5kmX_x6Juf9M783NZ0QpkVrXU1tzcwfa3_RykAsjIXr-3CI-3r_KCA/s640/blogger-image--878910641.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjoK2JFElAvNOUxkDWmG4upyzuGeDdoCOn_zbGQS2SiI6cG8MAdX0UkvIi0-h1KoTZfQsJXY3mFdlFDaEmyH0Mob5kmX_x6Juf9M783NZ0QpkVrXU1tzcwfa3_RykAsjIXr-3CI-3r_KCA/s640/blogger-image--878910641.jpg"></a></div><div class="separator" style="clear: both;">This journaling task requires evaluation between ideas.</div><div class="separator" style="clear: both;">It involves little use of the written words. Students use diagrams or artefacts (paper folding).</div></div><br></div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;">Case Study 2 - Flowers</div></div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;"><div class="separator" style="clear: both;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhkb63wXdMvCVjg6_TqWQySMSQDiDirfF8-Zbm8ZOPfjMEUrrbFnhpvXOpx0m5Y8wewmakkb1PXEsbYurKzafPpOKWquerNvUXMelRChg7Um8rnAj-4jMiejmgr0q5YyPQn7FUaHufq3tA/s640/blogger-image--414235745.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhkb63wXdMvCVjg6_TqWQySMSQDiDirfF8-Zbm8ZOPfjMEUrrbFnhpvXOpx0m5Y8wewmakkb1PXEsbYurKzafPpOKWquerNvUXMelRChg7Um8rnAj-4jMiejmgr0q5YyPQn7FUaHufq3tA/s640/blogger-image--414235745.jpg"></a></div><div class="separator" style="clear: both;">In this journal entry, students are describing one method used to solve the problem. </div><div class="separator" style="clear: both;">Here, students use mostly mathematical notations and a little bit of the written words.</div><div class="separator" style="clear: both;"><div class="separator" style="clear: both;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhVUydjazawFIj17wIHm-l-3L-jhFLZVlaj_ujHdBQQg-L6zCtFYKGWmGTV3K2qDyRrOZUJP6pGNoDcWvMImeq6y6E2usJKVXcN8EZ3uDCUwdZXrTf18O0TOnyq_wmjDa1IpL3fP3FuAlY/s640/blogger-image-1281197825.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhVUydjazawFIj17wIHm-l-3L-jhFLZVlaj_ujHdBQQg-L6zCtFYKGWmGTV3K2qDyRrOZUJP6pGNoDcWvMImeq6y6E2usJKVXcN8EZ3uDCUwdZXrTf18O0TOnyq_wmjDa1IpL3fP3FuAlY/s640/blogger-image-1281197825.jpg"></a></div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;">Students must have the experience to explicate mathematical ideas in four forms:</div><div class="separator" style="clear: both;">- using things</div><div class="separator" style="clear: both;">- using pictures and diagrams</div><div class="separator" style="clear: both;">- using written words</div><div class="separator" style="clear: both;">- using conventional symbols and notations </div></div><div class="separator" style="clear: both;"><br></div>Case Study 3 - Dots</div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;"><div class="separator" style="clear: both;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjXt3uROtL3eU9xuccqSVBf_gWdIzgYdAyFUf2gD0pXmqWSK6ML6cJeDce5OnY4IxgJZP_mrgQ8RjxCRHPUunP8Wl8VfGbtc2UjTtWMQs4bYGtWDm8BrJKyLCQQETNihtIiKdPRvDBDwlY/s640/blogger-image--1610900328.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjXt3uROtL3eU9xuccqSVBf_gWdIzgYdAyFUf2gD0pXmqWSK6ML6cJeDce5OnY4IxgJZP_mrgQ8RjxCRHPUunP8Wl8VfGbtc2UjTtWMQs4bYGtWDm8BrJKyLCQQETNihtIiKdPRvDBDwlY/s640/blogger-image--1610900328.jpg"></a></div><div class="separator" style="clear: both;">This is the class' homework - to figure out a pattern raise the relationship between the he area of the polygon with a dot inside and the number of dots. Did your investigation yield anything interesting?</div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;">Case Study 4 - BOAT</div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;"><div class="separator" style="clear: both;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiqVWa2iGtMryWX3LDntSSKiOq150x_BuwGLEKTLN3EIqgRsB9vTDKEN05YDaW54unQxTDzOoEcADg7fDbtr9PNCli0u9K6Kr8wwQq2EXptIjyDafrgPVTmp7wzL5rOT6EYOPoRIqzAKrM/s640/blogger-image-911019659.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiqVWa2iGtMryWX3LDntSSKiOq150x_BuwGLEKTLN3EIqgRsB9vTDKEN05YDaW54unQxTDzOoEcADg7fDbtr9PNCli0u9K6Kr8wwQq2EXptIjyDafrgPVTmp7wzL5rOT6EYOPoRIqzAKrM/s640/blogger-image-911019659.jpg"></a></div><div class="separator" style="clear: both;">By putting three more points B, A and T create a quadrilateral BOAT.</div><div class="separator" style="clear: both;">Let's investigate the angles of this quadrilateral.</div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;">What do we notice?</div><div class="separator" style="clear: both;">How can we prove what we notice?</div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;"><div class="separator" style="clear: both;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhSM4OwVa1njJ4bQC4M2MX_XxWPGSnbXScAPLus8jJgfIPLBUBJt6jxp_M0DFt0I4i7yGV93rPW1NsgSFL7nIUnYJUeZLP2pvjZbngAKY9Gi8OMWOChWrOlPqkRPV_C0yq742SssW-rkVY/s640/blogger-image-42099224.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhSM4OwVa1njJ4bQC4M2MX_XxWPGSnbXScAPLus8jJgfIPLBUBJt6jxp_M0DFt0I4i7yGV93rPW1NsgSFL7nIUnYJUeZLP2pvjZbngAKY9Gi8OMWOChWrOlPqkRPV_C0yq742SssW-rkVY/s640/blogger-image-42099224.jpg"></a></div></div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;">Key Questions - <span style="font-family: 'Helvetica Neue Light', HelveticaNeue-Light, helvetica, arial, sans-serif;">What are the critical learning experiences? What are the theoretical underpinnings? How can we provide students with these experiences? What is your key learning today?</span></div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;">Additional Question - How do learning experiences relate to mathematical practices outlined in common core state standards in the US?</div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;"><div class="separator" style="clear: both;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhPl5d0lswaRmOamLa4hH6x537p2iwfCrxAi7M-rzozU4JMJmIYH1w3zHwKgvmb5MvFj2T5f_NPR6SGv3TIG3ghWmEsy6xtVmqNdnNCXZWn5i-e4IqNKQq4s_ocXo0THhqH7x8Znn5apSA/s640/blogger-image--1030660177.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhPl5d0lswaRmOamLa4hH6x537p2iwfCrxAi7M-rzozU4JMJmIYH1w3zHwKgvmb5MvFj2T5f_NPR6SGv3TIG3ghWmEsy6xtVmqNdnNCXZWn5i-e4IqNKQq4s_ocXo0THhqH7x8Znn5apSA/s640/blogger-image--1030660177.jpg"></a></div><br></div><br></div><br></div><br></div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;"><br></div><br></div><br></div><br></div><br></div><br></div><br><div><br></div><div><br></div></div></div>Dr Yeap Ban Harhttp://www.blogger.com/profile/14995827943531633736noreply@blogger.com2tag:blogger.com,1999:blog-4282145449735579933.post-60030424011270522132018-03-14T10:57:00.001-07:002018-03-15T12:31:17.755-07:00Prague Seminar | 14 March 2018<div class="separator" style="clear: both;"><div class="separator" style="clear: both;"><div class="separator" style="clear: both;"><div class="separator" style="clear: both;">At the seminar, we discussed conditions for learning mathematics.</div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;">Let me tell you what happened in one lesson today and invite you to think about the conditions for learning. What must we do to facilitate learning, deep learning. </div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiMtI_xhC7s7clzhBBracVW8zngeBOnxP1SqxHI-M5GA3iaudIR2XcrsVt1jL97UQGMLRJbq3m_Od7ud3xztwkXJA45Zil9tYw82u17oEqKsv0wKpj71UDpZpB6KgI9UPF7GkrSf8gF77I/s640/blogger-image-1043198648.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiMtI_xhC7s7clzhBBracVW8zngeBOnxP1SqxHI-M5GA3iaudIR2XcrsVt1jL97UQGMLRJbq3m_Od7ud3xztwkXJA45Zil9tYw82u17oEqKsv0wKpj71UDpZpB6KgI9UPF7GkrSf8gF77I/s640/blogger-image-1043198648.jpg"></a></div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;">What do you do when you are trying to teach the first day lesson on fractions to a bunch of second graders and a student raises her hand a second time today with the same request "I have a question."</div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;">The first question has been handled.</div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;">The second question is - "What if there are 5 quarters (fourths) and there are 4 friends sharing them (equally)?</div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;">Yeah! </div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;">What if ....?</div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;">And that is exactly what happened in class today.</div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;">We were figuring out what happens when 2 friends share a piece of square art paper as well as when 4 friends do likewise. They had the square pieces of paper to help them figure out the solutions. They grabbed themselves pencils, rulers and pairs of scissors.</div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;">All sorts of things came up.</div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;"><div class="separator" style="clear: both;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiWeA-Xw74qDIXZ-uwIeMpEmNvvJUX0A8WrvXluzZbWGcaC-feHJqev5zSQ1B615q_RAvQ1-hv_A9GYAS5spM4j5-iAHaJhZVz2qqt3pvYzy0wc6hBGJwoyM_YlALvYJKxhJwogjb0SqMI/s640/blogger-image-1066061731.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiWeA-Xw74qDIXZ-uwIeMpEmNvvJUX0A8WrvXluzZbWGcaC-feHJqev5zSQ1B615q_RAvQ1-hv_A9GYAS5spM4j5-iAHaJhZVz2qqt3pvYzy0wc6hBGJwoyM_YlALvYJKxhJwogjb0SqMI/s640/blogger-image-1066061731.jpg"></a></div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;">First they shared some ways of sharing the paper between two friends and I documented the triangle solution. I asked them how they can be sure if the two pieces are the same amount of paper.</div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;">Someone said "measure them".</div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;">How? I asked.</div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;">"Use a ruler."</div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;">Before I could respond (I took quite a while to respond, to be honest, about five seconds), someone said to cut the pieces out. Then put "one on top of the other".</div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;">But how can you tell that they are the same amount of paper.</div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;">They gave sound methods to check for equality. </div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;">Then they did the same for sharing among four friends. </div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;">Along the way they cautioned about using ruler to draw the lines, also to "fold first before you draw the lines". </div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;">All is well.</div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;">Someone used the word "quarter" and I latched in that to show them the symbol for quarter using post-it. </div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;">"I have a question." </div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;">One students asked if we also use "4" when we want a symbol for half.</div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;">I showed them the symbol for half.</div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;">"I have a question."</div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;">Another wanted to know if the symbol is written after the numerator the way fractions are written in words - 1 quarter. </div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;">I showed them where to put the symbols for the words quarter and half.</div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;">"I have a question." </div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;">Why did they use 4 and 2 in the symbols?</div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;">I asked them if that's a sensible thing to do and got them to explain to each other why they all kinda think that those are sensible decisions.</div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;">I even got them to tell me the amounts when I showed them 2 quarters and 3 quarters. A few other things happened.</div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;">Then the 5 quarters questions came up.</div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;">All I want team to learn today is about equal parts and the naming convention. I was going to wait till grade four to discuss improper fractions and mixed numbers.</div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;"><span style="-webkit-text-size-adjust: auto;">"i have a question."</span></div><div class="separator" style="clear: both;"><span style="-webkit-text-size-adjust: auto;"><br></span></div><div class="separator" style="clear: both;"><span style="-webkit-text-size-adjust: auto; background-color: rgba(255, 255, 255, 0);">"What if there are 5 quarters and there are 4 friends sharing them (equally)?"</span></div><div class="separator" style="clear: both;"><span style="-webkit-text-size-adjust: auto; background-color: rgba(255, 255, 255, 0);"><br></span></div><div class="separator" style="clear: both;"><span style="-webkit-text-size-adjust: auto; background-color: rgba(255, 255, 255, 0);">I asked that question and got them to chat while I decide what to do next.</span></div><div class="separator" style="clear: both;"><span style="-webkit-text-size-adjust: auto; background-color: rgba(255, 255, 255, 0);"><br></span></div><div class="separator" style="clear: both;"><span style="-webkit-text-size-adjust: auto; background-color: rgba(255, 255, 255, 0);">I am not proud of this but I decided to lie.</span></div><div class="separator" style="clear: both;"><span style="-webkit-text-size-adjust: auto; background-color: rgba(255, 255, 255, 0);"><br></span></div><div class="separator" style="clear: both;"><span style="-webkit-text-size-adjust: auto; background-color: rgba(255, 255, 255, 0);">I pretend I misheard her.</span></div><div class="separator" style="clear: both;"><span style="-webkit-text-size-adjust: auto; background-color: rgba(255, 255, 255, 0);"><br></span></div><div class="separator" style="clear: both;"><span style="-webkit-text-size-adjust: auto; background-color: rgba(255, 255, 255, 0);">"So our friend is asking what if there are 5 quarters and 5 friends are sharing them equally." Despite the wild waving of her hand, I pretended not to see the girl to posed the question.</span></div><div class="separator" style="clear: both;"><span style="-webkit-text-size-adjust: auto; background-color: rgba(255, 255, 255, 0);"><br></span></div><div class="separator" style="clear: both;"><span style="-webkit-text-size-adjust: auto; background-color: rgba(255, 255, 255, 0);">The class was able to say that it's easy - 5 quarters, 5 friends ... That's 1 quarter each.</span></div><div class="separator" style="clear: both;"><span style="-webkit-text-size-adjust: auto; background-color: rgba(255, 255, 255, 0);"><br></span></div><div class="separator" style="clear: both;"><span style="-webkit-text-size-adjust: auto; background-color: rgba(255, 255, 255, 0);">Having settled that - which is division of fractions, by the way - I let the girl protest .... "What if the mystery friend is not there?"</span></div><div class="separator" style="clear: both;"><span style="-webkit-text-size-adjust: auto; background-color: rgba(255, 255, 255, 0);"><br></span></div><div class="separator" style="clear: both;"><span style="-webkit-text-size-adjust: auto; background-color: rgba(255, 255, 255, 0);">She sure was persistent.</span></div><div class="separator" style="clear: both;"><span style="-webkit-text-size-adjust: auto; background-color: rgba(255, 255, 255, 0);"><br></span></div><div class="separator" style="clear: both;"><span style="-webkit-text-size-adjust: auto; background-color: rgba(255, 255, 255, 0);">So I packed them off with two options for journal writing.</span></div><div class="separator" style="clear: both;"><span style="-webkit-text-size-adjust: auto; background-color: rgba(255, 255, 255, 0);"><br></span></div><div class="separator" style="clear: both;"><span style="-webkit-text-size-adjust: auto; background-color: rgba(255, 255, 255, 0);">One, to show in their journal what if 8 friends share a square paper equally. Please use the paper and paste your work in your journal and say how much paper each friend receives.</span></div><div class="separator" style="clear: both;"><span style="-webkit-text-size-adjust: auto; background-color: rgba(255, 255, 255, 0);"><br></span></div><div class="separator" style="clear: both;"><span style="-webkit-text-size-adjust: auto; background-color: rgba(255, 255, 255, 0);">Two, to figure out the solution to the question our friend just posed. What if four friends share five fourths? Show your thinking and maybe invent a symbol to describe the amount each person gets.</span></div><div class="separator" style="clear: both;"><span style="-webkit-text-size-adjust: auto; background-color: rgba(255, 255, 255, 0);"><br></span></div><div class="separator" style="clear: both;"><br></div><br></div><br></div><br></div><br></div>Dr Yeap Ban Harhttp://www.blogger.com/profile/14995827943531633736noreply@blogger.com7tag:blogger.com,1999:blog-4282145449735579933.post-28692224008322003792018-03-12T23:42:00.001-07:002018-03-24T07:19:08.520-07:00Prague Seminar | 13 March 2018I did a seminar Edge of Education for parents of students at International School of Prague, discussing how mathematics learning can be used as a tool to develop awesome kids. <div><br></div><div>We often focus on skills, problem solving and achievement score in discussing mathematics teaching and learning so I wanted parents to see how education, when done well, is ultimately is developing kids into young adults who are intelligent, articulate, kind - essentially awesome.</div><div><br></div><div>How can that happen? </div><div><br></div><div>Find out at the talk in Prague.<br><div><br></div><div><div class="separator" style="clear: both;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEir-sm3b58SQHe4QYSQwwTK7lWUOAJ3OTeXyNIB8Ir7MqHulLpKR5apiRvT_DzuIv5y4EjdBlRZsitzCwD7jjnMb6hU_qoMh3z9zVAGDLNPVNdMtHdxQkyLnBCkQEi2xldrVLa2IYUqHRk/s640/blogger-image--1511774821.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEir-sm3b58SQHe4QYSQwwTK7lWUOAJ3OTeXyNIB8Ir7MqHulLpKR5apiRvT_DzuIv5y4EjdBlRZsitzCwD7jjnMb6hU_qoMh3z9zVAGDLNPVNdMtHdxQkyLnBCkQEi2xldrVLa2IYUqHRk/s640/blogger-image--1511774821.jpg"></a></div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;">What the market place demands of our kids are changing and will continue to change. as they say, the only constant is change. </div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;">Are our kids developing the right kind of skills to put them in a place where opportunities continue to be available to them and they continue to have options?</div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;"><div class="separator" style="clear: both;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgejCm6Y0PnR-8TmQl-RGV31TbUxftCQz1Mazgp0CVTpagL_qKkQ8JuBCA5EInlMspb3HCFis-S8I_DA6oqtNOzSPDQE2K3PjvO4pR_y36608q6iYzrauVAwYOJMJfG9mTDiwIrYxYYuc8/s640/blogger-image-287824702.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgejCm6Y0PnR-8TmQl-RGV31TbUxftCQz1Mazgp0CVTpagL_qKkQ8JuBCA5EInlMspb3HCFis-S8I_DA6oqtNOzSPDQE2K3PjvO4pR_y36608q6iYzrauVAwYOJMJfG9mTDiwIrYxYYuc8/s640/blogger-image-287824702.jpg"></a></div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;">For nations, developing their intellectual capital is critical. For parents, developing their kids into young adults who are well-adjusted is paramount. How can mathematics learning do that?</div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;"><div class="separator" style="clear: both;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhFvwmAdAf3s1as8BAa3AJn2479agHqfUX6amiTkSoJ-eWt1zVzlR7lpXbPJ_czwzkmYGGLZOAsj7jeW-qinLMrWIrQ2DG-GatFfM9FypoSceZSic82YJhicNKdh-U59nU6PS9Ze0jpgXg/s640/blogger-image-147322178.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhFvwmAdAf3s1as8BAa3AJn2479agHqfUX6amiTkSoJ-eWt1zVzlR7lpXbPJ_czwzkmYGGLZOAsj7jeW-qinLMrWIrQ2DG-GatFfM9FypoSceZSic82YJhicNKdh-U59nU6PS9Ze0jpgXg/s640/blogger-image-147322178.jpg"></a></div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;">A glimpse into what the brain does in relation to mathematical tasks.</div></div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;"><div class="separator" style="clear: both;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg-tkaZb41NSe8arxoLKuBUacn3i26oPXfth9BvHV1GPWX3JtJojHZLM4uTRT3VAm2FaaPYZ1lWzhjFPl7O2vYyJJHVyhr1o8smsdUVLRKS9Eg79tLufu4fXu8jjVMmLz6ahsZtoTT8eYU/s640/blogger-image-1376942093.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg-tkaZb41NSe8arxoLKuBUacn3i26oPXfth9BvHV1GPWX3JtJojHZLM4uTRT3VAm2FaaPYZ1lWzhjFPl7O2vYyJJHVyhr1o8smsdUVLRKS9Eg79tLufu4fXu8jjVMmLz6ahsZtoTT8eYU/s640/blogger-image-1376942093.jpg"></a></div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;">Kids learn Maths but they also learn about the nature of Maths and who they are as learners. Mindset, as Dweck tells us, is critical in learning. And mindsets shape one's personality.</div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;">How can learning in general and mathematics learning in particular help kids develop skills, cultivate attitudes and increase their capacity to figure things out in critical and hopefully creative ways?</div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;">Some examples I used to make my points ...</div><div class="separator" style="clear: both;"><div class="separator" style="clear: both;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhX5CCZve1cEX2mKXOvLsby73X3H53whE7K9nTxX3W8XMGcSEx_snY2mpUifZq920zcd3X5w-NWIOK4pqdO_iXUE94SUlTIo_MEnCovk4I635tUM0H9CubJZxFiQJoT7aiCldODGT5eNuA/s640/blogger-image-133668268.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhX5CCZve1cEX2mKXOvLsby73X3H53whE7K9nTxX3W8XMGcSEx_snY2mpUifZq920zcd3X5w-NWIOK4pqdO_iXUE94SUlTIo_MEnCovk4I635tUM0H9CubJZxFiQJoT7aiCldODGT5eNuA/s640/blogger-image-133668268.jpg"></a></div><div class="separator" style="clear: both;"><div class="separator" style="clear: both;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg3iu_HCGnolmTw0l3IpFsOUTa9N2gfRmO_mBzh49-urpYctf4hpuf0aR7nOn5vJK1XZBiRKgdb0ePcCbjmZZFsk_WfTOUzrNn6GfsHSrFmmppiPF5dRrt64MrGbV5TcFLbj4wGkF__igw/s640/blogger-image--620015019.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg3iu_HCGnolmTw0l3IpFsOUTa9N2gfRmO_mBzh49-urpYctf4hpuf0aR7nOn5vJK1XZBiRKgdb0ePcCbjmZZFsk_WfTOUzrNn6GfsHSrFmmppiPF5dRrt64MrGbV5TcFLbj4wGkF__igw/s640/blogger-image--620015019.jpg"></a></div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;"><div class="separator" style="clear: both;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgkaGURgMqz-4wbVhWfpP01evNRQ9PjuPiMYyf3iuev7wkQU6zrfIdB_YAjTWyz3dnFljxBGicmsh5cdfSq1dWx82KDoGBGPJcY72o0A1OE82o38_qEycd_LD3WnYW2QOrm-2xD5op3SsI/s640/blogger-image--1805095507.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgkaGURgMqz-4wbVhWfpP01evNRQ9PjuPiMYyf3iuev7wkQU6zrfIdB_YAjTWyz3dnFljxBGicmsh5cdfSq1dWx82KDoGBGPJcY72o0A1OE82o38_qEycd_LD3WnYW2QOrm-2xD5op3SsI/s640/blogger-image--1805095507.jpg"></a></div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;"><div class="separator" style="clear: both;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhBuAmv6N74p9hJo_zqa5ivyFeqP-A2cMKvO0JUjAyreMAMmEW-l_l_4uP_aTLARAMtbvqi9W-IDdHzgJwQR5JqogSBF5c3IS_38IZbi3_AK9noaw6mlPBsmPW39vfDPefWorejoBMFYVk/s640/blogger-image-2101790676.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhBuAmv6N74p9hJo_zqa5ivyFeqP-A2cMKvO0JUjAyreMAMmEW-l_l_4uP_aTLARAMtbvqi9W-IDdHzgJwQR5JqogSBF5c3IS_38IZbi3_AK9noaw6mlPBsmPW39vfDPefWorejoBMFYVk/s640/blogger-image-2101790676.jpg"></a></div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;"><div class="separator" style="clear: both;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjPeEGKIjmFXfEr5PduIVxn5rAzrSuIpeJzUFzLyFTgneAuz2PLtIaRxqSyCPgsuVO-Yg9AKtId0lCw_8udUgld_DDywVLGVpmRjdkRLecIp46X4c_4ZLLjQc_9S-TZlsESTTrMjPsfd3Q/s640/blogger-image--1710057790.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjPeEGKIjmFXfEr5PduIVxn5rAzrSuIpeJzUFzLyFTgneAuz2PLtIaRxqSyCPgsuVO-Yg9AKtId0lCw_8udUgld_DDywVLGVpmRjdkRLecIp46X4c_4ZLLjQc_9S-TZlsESTTrMjPsfd3Q/s640/blogger-image--1710057790.jpg"></a></div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;"><div class="separator" style="clear: both;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhMMUn96KwFNMt8MokmfAQhr0odlUuBgU-jyog0NgzS4vi8dUJECnyfLUFDgyjLo6sFXwvPddQbOpbioOxtN4m61wh2NUnAiyiJC-hGojLdyEewvTXg-2JIAfciT4Clz5i_08-xVquQ6hM/s640/blogger-image--2127329135.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhMMUn96KwFNMt8MokmfAQhr0odlUuBgU-jyog0NgzS4vi8dUJECnyfLUFDgyjLo6sFXwvPddQbOpbioOxtN4m61wh2NUnAiyiJC-hGojLdyEewvTXg-2JIAfciT4Clz5i_08-xVquQ6hM/s640/blogger-image--2127329135.jpg"></a></div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;"><div class="separator" style="clear: both;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhnXkvEFMrSaf_bApBcViNBTXi0PKl1BG7V0Gw52DVUdvdDRbEAPmlDzSPMmG3R1g6-SiScDS9wnHgVrz1jCWQ6a9verfP_IlKE_GPI-sc179QKPhS5Ql9jgc0a5saoPLXMljPKma4R6lc/s640/blogger-image-1117469967.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhnXkvEFMrSaf_bApBcViNBTXi0PKl1BG7V0Gw52DVUdvdDRbEAPmlDzSPMmG3R1g6-SiScDS9wnHgVrz1jCWQ6a9verfP_IlKE_GPI-sc179QKPhS5Ql9jgc0a5saoPLXMljPKma4R6lc/s640/blogger-image-1117469967.jpg"></a></div><br></div><br></div><br></div><br></div><br></div><br></div><br></div><br></div><br></div><br></div></div>Dr Yeap Ban Harhttp://www.blogger.com/profile/14995827943531633736noreply@blogger.com3tag:blogger.com,1999:blog-4282145449735579933.post-55482747305038790082018-03-12T23:29:00.001-07:002018-03-16T08:31:02.252-07:00Prague Seminar | 12 March 2018<div class="separator" style="clear: both;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh7ho9YDABCfKD4de0gwOC404-W1-licipRKS6tDFqs1J09CY6jOEeItfI_P4E5X8QI4-vvYxvvOE1cLyMi0_-Q2MYFqtpuoXhqaT4JTkyn6zAQe9HTbejHlUxU7q8RzuTMYDtiJdJBnUY/s640/blogger-image--450661213.jpg" imageanchor="1"><span style="margin-left: 1em; margin-right: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh7ho9YDABCfKD4de0gwOC404-W1-licipRKS6tDFqs1J09CY6jOEeItfI_P4E5X8QI4-vvYxvvOE1cLyMi0_-Q2MYFqtpuoXhqaT4JTkyn6zAQe9HTbejHlUxU7q8RzuTMYDtiJdJBnUY/s640/blogger-image--450661213.jpg"></span></a><div class="separator" style="margin-left: 1em; margin-right: 1em; clear: both;"><span style="margin-left: 1em; margin-right: 1em;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi_QI76bU8PlOGj6zi1KL63fqBgNGjXkwzXvRVB7d7dfCx6o3FHBCtUQzADSm1PVljxbSGISrETKTPqrXGq4RA8YaRJ7ckLOZDAy2nPrs9Ew8WYBf3bWW5VQ4T8RcdSMZwUe1RLtH_V3TE/s640/blogger-image--1654768202.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi_QI76bU8PlOGj6zi1KL63fqBgNGjXkwzXvRVB7d7dfCx6o3FHBCtUQzADSm1PVljxbSGISrETKTPqrXGq4RA8YaRJ7ckLOZDAy2nPrs9Ew8WYBf3bWW5VQ4T8RcdSMZwUe1RLtH_V3TE/s640/blogger-image--1654768202.jpg"></a></span><div class="separator" style="margin-left: 1em; margin-right: 1em; clear: both;"><span style="margin-left: 1em; margin-right: 1em;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi_QI76bU8PlOGj6zi1KL63fqBgNGjXkwzXvRVB7d7dfCx6o3FHBCtUQzADSm1PVljxbSGISrETKTPqrXGq4RA8YaRJ7ckLOZDAy2nPrs9Ew8WYBf3bWW5VQ4T8RcdSMZwUe1RLtH_V3TE/s640/blogger-image--1654768202.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjOpEVDSKHfQ5BcrDHLBhqdRH-giPJWDAb19CBk0OhTqGF81-kzXOdVrZpxWs06JWyo3StDDenu3b9RJnf1QGMpoJyXF2SagW6xwGZS0t6mME3FtDCMrSSQmtcu74j4ZT7hJq4fKQhOj9c/s640/blogger-image--1473188110.jpg"></a></span></div><div class="separator" style="margin-left: 1em; margin-right: 1em; clear: both;"><br></div><div class="separator" style="margin-left: 1em; margin-right: 1em; clear: both;">Using one example, I spoke about five critical learning experiences that students should have for high achievement in mathematics and provided theoretical justifications for these experiences.</div><div class="separator" style="margin-left: 1em; margin-right: 1em; clear: both;"><br></div><div class="separator" style="margin-left: 1em; margin-right: 1em; clear: both;">In the time that I had I demonstrated expiring, structured discussion and journaling and mentioned that reflection and independent practice are the other important learning experiences.</div><div class="separator" style="margin-left: 1em; margin-right: 1em; clear: both;"><br></div><div class="separator" style="margin-left: 1em; margin-right: 1em; clear: both;">As I always do, I prefaced my talk with the fact that different teachers may organise their lessons differently but should include these learning experiences on a regular basis. </div><div class="separator" style="margin-left: 1em; margin-right: 1em; clear: both;"><br></div><div class="separator" style="margin-left: 1em; margin-right: 1em; clear: both;">I will expand on this topic at a pre-conference session at CEESA Confererence.</div></div></div><div class="separator" style="clear: both;"><font color="#0000ee"><u><br></u></font></div><div class="separator" style="clear: both;"><font color="#0000ee"><u><br></u></font></div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;"><font color="#0000ee"><u><br></u></font></div>Dr Yeap Ban Harhttp://www.blogger.com/profile/14995827943531633736noreply@blogger.com2