tag:blogger.com,1999:blog-91857062090615888742024-02-07T14:05:58.021-08:00Teaching Mathematics to the Young Learners Using Models and ManipulativesA Mathematics educator has to use different representation to support child's understanding and retention to the different math concepts.Manipulative and models support the development of mathematics concepts and procedures.
It is true that as Mathematics educator you have to be profound, flexible and adaptive knowledge of the mathematics content(Ma, 1999)to prepare you for learning and teaching.www.irene-mathematics.bloghttp://www.blogger.com/profile/11841910354738336652noreply@blogger.comBlogger8125tag:blogger.com,1999:blog-9185706209061588874.post-30617181540145681552011-09-03T02:09:00.000-07:002011-09-03T02:09:10.721-07:00Last session for EDU 330<b><span class="Apple-style-span" style="color: red;">31st August 2011</span></b><br />
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<b>This was the last day of our Mathematics module. I felt very satisfied with my lecturer and I believe that not only me who gave an outstanding mark on the evaluation. After this module, I found myself very poor in analyzing some problems as I cannot make a correct word problem. I was so happy that in a short period of time I was able to think for my previous Mathematics class. </b><br />
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<b>On the last day, we covered up mostly on the ways of assessment ( assessing procedure, assess conceptual knowledge, assess the method, practical test, paper and pencil and oral test). According to Dr. Yeap, some assessment can be individual and some assessment can be in a group.</b><br />
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<b>I like the activity on which each group was asked to make a box that can fit 15 beans. It was really enjoying and I learned from it that eyes are really deceiving as we thought the small box that we made is perfectly fitted to 15 beans. </b><br />
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<b>We had fun measuring the height and counting the steps of the staircase at Bras Basah MRT station. </b><br />
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<b>Here's what we get:</b><br />
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<b>Steps of the MRT staircase</b><br />
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<b> 3 flights of 16 steps</b><br />
<b> 1 flight of 14 steps</b><br />
<b> each step is 15 cm.</b><br />
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<b>Computation:</b><br />
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<b> 16x 3 = 48 </b><br />
<b> 48+14= 62</b><br />
<b> 62x15cm= <span class="Apple-style-span" style="color: #274e13;"> <i>930 cm</i></span></b><br />
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www.irene-mathematics.bloghttp://www.blogger.com/profile/11841910354738336652noreply@blogger.com0tag:blogger.com,1999:blog-9185706209061588874.post-86691705095316035802011-08-27T07:26:00.000-07:002011-08-27T07:26:27.939-07:00Session Five of EDU 330 Elementary Mathematics26th August 2011<br />
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Thanks God it was the fifth day of our Mathematics class! On this session, we started with lesson 17.<br />
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<b> Grouping Situation </b>: 6 / 2 = 3 <br />
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1/ 1/4 = 4 , 3/4 / 1/4 = 3<br />
<div class="" style="clear: both; text-align: left;"> Note: a/b / x/y= a/x/b/y</div><div class="" style="clear: both; text-align: left;"><br />
</div><div class="" style="clear: both; text-align: left;"> In lesson 18, Dr.Yeap introduced a word problem </div><div class="" style="clear: both; text-align: left;"><br />
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</div><div class="" style="clear: both; text-align: left;"> <span class="Apple-style-span" style="color: #cc0000;"> </span></div><div class="" style="clear: both; text-align: left;"><span class="Apple-style-span" style="color: #cc0000;"> <span class="Apple-style-span" style="font-size: large;">Spiral Approach </span>: </span><b>Get encounter same ideas again and again......</b></div><div class="" style="clear: both; text-align: left;"><span class="Apple-style-span" style="color: #cc0000;"> </span><span class="Apple-style-span" style="color: red; font-size: large;">Bloom's Taxonomy: </span><b> Describe the cognitive levels </b></div><div class="" style="clear: both; text-align: left;"><b> ( knowledge, comprehension, application, synthesis , evaluation)</b></div><div class="" style="clear: both; text-align: left;"><b><br />
</b></div><div class="" style="clear: both; text-align: left;"><span class="Apple-style-span" style="color: #cc0000;"> Knowledge </span></div><div class="" style="clear: both; text-align: left;"><span class="Apple-style-span" style="color: #cc0000;"> </span> <b><i>What is the value of 5/7- 1/2</i></b></div><div class="" style="clear: both; text-align: left;"><span class="Apple-style-span" style="color: #cc0000;">Comprehension </span></div><div class="" style="clear: both; text-align: left;"><span class="Apple-style-span" style="color: #cc0000;"> </span> Is the word problem</div><div class="" style="clear: both; text-align: left;"><br />
</div><div class="" style="clear: both; text-align: left;"><b> Lesson 19</b><span class="Apple-style-span" style="color: #cc0000;"> : Making squares out of the dot</span></div><div class="" style="clear: both; text-align: left;"><span class="Apple-style-span" style="color: #cc0000;"><br />
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</span></div><div class="" style="clear: both; text-align: center;"><span class="Apple-style-span" style="color: #cc0000;"> </span></div><div class="" style="clear: both; text-align: left;"><b>In lesson 20, is a continuation of the shapes in connecting to the dot. There was a theory by</b> <span class="Apple-style-span" style="font-size: large;"> <span class="Apple-style-span" style="color: #134f5c;"><b>George</b></span></span><span class="Apple-style-span" style="color: #134f5c;"><b> <span class="Apple-style-span" style="font-size: large;">Pick other known as "Pick</span> <span class="Apple-style-span" style="font-size: large;">Theory" </span></b></span> <b>which is the area of figure is related to the dots on the side and inside.</b></div><div class="" style="clear: both; text-align: left;"><b><br />
</b></div><div class="" style="clear: both; text-align: left;"><b><span class="Apple-style-span" style="font-size: x-large;">Things to remember..... </span></b></div><div class="" style="clear: both; text-align: left;"></div><ul><li><b>There are five transformation movement of shapes ( translate, reflect, rotate, stretch,shear)</b></li>
<li><b>Polygons is a close figure</b></li>
<li><b>There are symbols in comparing the are of square( units2, cm2,m2)</b></li>
<li><b>The five uses of number ( cardinal, nominal, measurement, ordinal, represent proportion)</b></li>
</ul><div><b>In lesson 21, we covered on the data representation which is making graphs. There are different types of graphs ( picture graph, bar graph, line graph, circle graph, pie graph)</b></div><div><b><br />
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</b></div><div class="separator" style="clear: both; text-align: center;"> <a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiDPQifYt7zIphQkz1jx1ScX6JSFPpFVqrDPElvY8SoZhOIYq6FF5OyyrlkNAymA86SX6B8FW8RZ_FCx6aNuD-zs8f-p7TBDvC4wRLPToAswm-eXtim1TKsJUQfSKw_wujlT-laKKF_uo8/s1600/IMG_0794.JPG" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="149" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiDPQifYt7zIphQkz1jx1ScX6JSFPpFVqrDPElvY8SoZhOIYq6FF5OyyrlkNAymA86SX6B8FW8RZ_FCx6aNuD-zs8f-p7TBDvC4wRLPToAswm-eXtim1TKsJUQfSKw_wujlT-laKKF_uo8/s200/IMG_0794.JPG" width="200" /></a></div><div><b><br />
</b></div><div><b> The last lesson was on the Model Method</b></div><div><b><br />
</b></div><div><b> Example: 3/7 of the apples in a box are red apples . The rest are green apples.</b></div><div><b><br />
</b></div><div><b> There are 24 green apples </b></div><div><b> 4 units = 24 apples</b></div><div><b> 1 unit = 6 apples</b></div><div><b><br />
</b></div><div><b> 24/4 = 6</b></div><div><b><br />
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</span></div><div class="" style="clear: both; text-align: left;"><span class="Apple-style-span" style="color: #cc0000;"> </span></div><div class="" style="clear: both; text-align: left;"><span class="Apple-style-span" style="color: #cc0000;"> </span></div>www.irene-mathematics.bloghttp://www.blogger.com/profile/11841910354738336652noreply@blogger.com0tag:blogger.com,1999:blog-9185706209061588874.post-73332921635434832642011-08-27T01:22:00.000-07:002011-08-27T01:22:50.248-07:00Session Four of EDU 330 Elementary Mathematics25th August 2011<br />
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This session had a good start for everyone as Dr. Yeap began the lesson with a magic tricks. The question is, Is it really a magic........ Oh! I was really glad to know this number trick that all you have to do is to look for the pattern to be able to guess the correct answer. I got 3 pegs on his first lesson as I am the one who found out the pattern hooray!!!!!!<br />
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In lesson 15, we covered a problem sum that taught different variation and a join situation. According to <span class="Apple-style-span" style="background-color: white; font-size: x-large;"> <span class="Apple-style-span" style="color: #cc0000;">Zoltan Dienes </span></span><br />
<span class="Apple-style-span" style="background-color: white; color: #cc0000;"> "Mathematics is not repetition they learn if you give them variation or the variant theory"</span><br />
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The next lesson which is lesson 16 was about naming the equal parts.<br />
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<ul><li> I found out that the moment you have equal parts you can name the part.</li>
<li>Being equal does not mean identical</li>
<li>Fraction is a part of a whole</li>
<li>Quantity is a part of a set.</li>
<li>Same number can be named in different ways.</li>
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<tr><td style="text-align: center;"><img height="150" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjTHjTJ2zB5X3Zt-WgBXsnZixpGd5BiJAb9elMT9_JGLFhkogxPlavfwNMZODY_mRjDzubkjDkTMkI0mY2hkhqR81us62RMC6QPss4y7dx740ReG2jcqj13YqLvK7fVNKBtdyo1nYK77qw/s200/IMG_2386.JPG" style="margin-left: auto; margin-right: auto;" width="200" /></td></tr>
<tr><td class="tr-caption" style="text-align: center;">The moment you have equal part you can name it and this is one fourth.<br />
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<tr><td style="text-align: center;"><img height="150" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjHhRNcjwxZvRxgFeXmLZGYABt79IzDDLaauaNE6PowFuvqqDZqCDJ_WxDtGf0cNAl66hJZCGo_vPTlr5hN6vy-BbYo95sfF4lPq1NmV9dYZ3sXDSi_Uh9smZhK40u25GYt5sAiOomFZrQ/s200/IMG_2385.JPG" style="margin-left: auto; margin-right: auto;" width="200" /></td></tr>
<tr><td class="tr-caption" style="text-align: center;">This shows an equal fraction </td></tr>
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<tr><td style="text-align: center;"><img src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgabogODH52ctAOZGkbh8nx7NhyphenhyphenxldiHhoU081-fedQ3NFiv3ZnpP3jArILn_4MdkQkbjfn9Ia9FFA1wWndHpVfbgqObutdCxtfBtuAEZpfuxV8Y2H9Q2Ov3wjltjbswNqgpo3rJ_mhtlw/s320/IMG_2384.JPG" style="margin-left: auto; margin-right: auto;" /></td></tr>
<tr><td class="tr-caption" style="text-align: center;">This is an example of abstract</td></tr>
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Some Acronyms I encountered which is helpful for me in learning the Primary Singapore System..<br />
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SRT - School Readiness Test<br />
LSM - Learning Support in Mathematics<br />
LSP - Learning Support Program<br />
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Thank you Dr. Yeap for a wonderful experience I had during your lessons. How I wish all the teachers in Philippines will be like you to help the children be more confident, competent and energetic in answering Mathematics and I hope you will come to my country to train Mathematics teachers.<br />
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www.irene-mathematics.bloghttp://www.blogger.com/profile/11841910354738336652noreply@blogger.com0tag:blogger.com,1999:blog-9185706209061588874.post-34477870267344708702011-08-27T00:49:00.000-07:002011-08-27T00:49:44.831-07:00Session Three of EDU 330 Elementary Mathematics24th August 2011<div><br />
</div><div style="text-align: center;"><span class="Apple-style-span" style="color: #cc0000;"><span class="Apple-style-span" style="font-size: large;">CASE STUDY</span></span></div><div style="text-align: center;"><span class="Apple-style-span" style="color: #cc0000;"><span class="Apple-style-span" style="font-size: large;"><br />
</span></span></div><div style="text-align: left;">Session three was discussed by Miss Peggy Foo. We covered two case study in a pre-school setting that talks about the Factors of Good Mathematics Teaching Principles.</div><div style="text-align: left;"><br />
</div><div style="text-align: left;">The content of the lesson was all about more or less and we tried to critique the teacher based on the video we had seen . </div><div style="text-align: left;"><span class="Apple-style-span" style="color: #cc0000;"><br />
</span></div><div style="text-align: left;">We came up with 5 different areas to see the effectiveness of the teacher.</div><div style="text-align: left;"><br />
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<tr><td style="text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEguIS3YwsJq1PzaB6bZ5KB0uXm71qjWzxrArANwQVBANIEH7rZoXw7Y0J9NYwoYZZRaA1PvbzOLbNq6Exj7F5btZM5VmIAb3hoINlxwJsuSWZ6LKChJs92MZt5lMZvxmKobcdDXENkMYJM/s1600/IMG_0796%255B1%255D" imageanchor="1" style="margin-left: auto; margin-right: auto;"><img border="0" height="640" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEguIS3YwsJq1PzaB6bZ5KB0uXm71qjWzxrArANwQVBANIEH7rZoXw7Y0J9NYwoYZZRaA1PvbzOLbNq6Exj7F5btZM5VmIAb3hoINlxwJsuSWZ6LKChJs92MZt5lMZvxmKobcdDXENkMYJM/s640/IMG_0796%255B1%255D" width="476" /></a></td></tr>
<tr><td class="tr-caption" style="text-align: center;"><span class="Apple-style-span" style="font-size: small;">These are the five areas <br />
Seating Arrangement<br />
Participation/Engagement<br />
Manipulative<br />
Classroom Management<br />
Flow /Sequence</span></td></tr>
</tbody></table><div class="separator" style="clear: both; text-align: left;">In Lesson Study, good teacher in Mathematics must check the following :</div><div class="separator" style="clear: both; text-align: left;"><br />
</div><div class="separator" style="clear: both; text-align: left;">1. Seating Arrangement</div><div class="separator" style="clear: both; text-align: left;">2. Level of Engagement</div><div class="separator" style="clear: both; text-align: left;">3. Uses of materials</div><div class="separator" style="clear: both; text-align: left;">4. Flow/Sequence of Lesson</div><div class="separator" style="clear: both; text-align: left;">5. Classroom Management</div><div class="separator" style="clear: both; text-align: left;">6. Communication</div><div class="separator" style="clear: both; text-align: left;">7. Questioning skills</div><div class="separator" style="clear: both; text-align: left;">8. Attitudes /Disposition</div><div class="separator" style="clear: both; text-align: left;">9. Differentiation</div><div class="separator" style="clear: both; text-align: left;"><br />
</div><div class="" style="clear: both; text-align: left;">In case study two, it was a good video showing an energetic teacher who helps the pupils to explore different options. Allowing children to think and apply what they have learnt in new situation by constructing different structures using a models with 3, 4 and 5 cubes.</div><table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto; text-align: center;"><tbody>
<tr><td style="text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgGfCHyBkZCAvdoBGL3swQpTIZYC6WP7V6a1vcBGOSGMuAT73f1yRp2iNJvMLnPkF0tXBKUfp2XyTGxYA-5lxgw68xWAHaaUN4K_gHEuylv_QEAA0sxn1IfYDEcnKXEOvo9FHrqaRj3TWk/s1600/IMG_0782.JPG" imageanchor="1" style="margin-left: auto; margin-right: auto;"><img border="0" height="238" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgGfCHyBkZCAvdoBGL3swQpTIZYC6WP7V6a1vcBGOSGMuAT73f1yRp2iNJvMLnPkF0tXBKUfp2XyTGxYA-5lxgw68xWAHaaUN4K_gHEuylv_QEAA0sxn1IfYDEcnKXEOvo9FHrqaRj3TWk/s320/IMG_0782.JPG" width="320" /></a></td></tr>
<tr><td class="tr-caption" style="text-align: center;">We enjoyed playing this game using 5 cubes and we came up with 21 different structures.<br />
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</div><div style="text-align: left;">Just to share with you.......</div><div style="text-align: left;"><br />
</div><div style="text-align: left;"> Lesson study is a professional development process or tool that teachers engage in systematically examining their practices and follow a lesson study cycle.</div><div style="text-align: left;"><br />
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<tr><td style="text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEio_JEUCNctQpjcOLnSb8kdA1Vg5l6kF4R4zP1GGqbZ-sc_HtiZC1Sx9Reu0IF8F92ZVsGIyMim7C5XNU24TaVGWn8kZCAERkP3yc-bsesVQC4UC5z3KevddjK8ibzaQ1wVJyy7fd7tUrQ/s1600/IMG_0799%255B1%255D" imageanchor="1" style="margin-left: auto; margin-right: auto;"><img border="0" height="320" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEio_JEUCNctQpjcOLnSb8kdA1Vg5l6kF4R4zP1GGqbZ-sc_HtiZC1Sx9Reu0IF8F92ZVsGIyMim7C5XNU24TaVGWn8kZCAERkP3yc-bsesVQC4UC5z3KevddjK8ibzaQ1wVJyy7fd7tUrQ/s320/IMG_0799%255B1%255D" width="239" /></a></td></tr>
<tr><td class="tr-caption" style="font-size: 13px; text-align: center;">Lesson Study Cycle<br />
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Plan a lesson, Research lesson, Post-lesson discussion , lesson plan and goes back to plan a lesson.<br />
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</tbody></table> I would like to thank Miss Peggy Foo for the wonderful experience we had during her lectures.....</div><div class="separator" style="clear: both; text-align: center;"></div>www.irene-mathematics.bloghttp://www.blogger.com/profile/11841910354738336652noreply@blogger.com0tag:blogger.com,1999:blog-9185706209061588874.post-75873616241602205812011-08-27T00:06:00.000-07:002011-08-27T00:06:35.081-07:00Second Session of EDU 330 Elementary Mathematics<span class="Apple-style-span" style="color: red; font-family: Georgia, 'Times New Roman', serif;"><b style="background-color: lime;">23rd August 2011</b></span><br />
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<span class="Apple-style-span" style="color: red; font-family: Georgia, 'Times New Roman', serif;"> </span><span class="Apple-style-span" style="color: #3d85c6; font-family: Georgia, 'Times New Roman', serif;"><b> Another fruitful lessons we had on session two. We covered the lesson on the five key components ( <span class="Apple-style-span" style="background-color: lime;">generalization, communication, visualisation, number sense and metagcognition). </span></b></span><br />
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<span class="Apple-style-span" style="color: red; font-family: Georgia, 'Times New Roman', serif;"> </span><span class="Apple-style-span" style="color: blue; font-family: Georgia, 'Times New Roman', serif;"><b>We also come up with a problem sum about John who spent 1/4 of his money on a gift and then he spent 1/3 of the remainder on a book . In this problem sum, it helps me to develop thinking skills as I was able to understand the idea of the problem and find the answer. It was really true that liking mathematics depends on the effective lecturer.</b></span><br />
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<span class="Apple-style-span" style="color: red; font-family: Georgia, 'Times New Roman', serif;"> </span><span class="Apple-style-span" style="color: #0b5394; font-family: Georgia, 'Times New Roman', serif;"><b>I have learnt a new mathematics term " subitize " which means something we just describe or unusual. </b></span><br />
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<span class="Apple-style-span" style="color: #0b5394; font-family: Georgia, 'Times New Roman', serif;"><b> Another learning from session two was about the theory of Jerome Bruner.</b></span><br />
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<span class="Apple-style-span" style="color: red; font-family: Georgia, 'Times New Roman', serif;"><span class="Apple-style-span" style="font-size: large;">C</span>- oncrete</span><br />
<span class="Apple-style-span" style="color: red; font-family: Georgia, 'Times New Roman', serif;"><span class="Apple-style-span" style="font-size: large;">P-</span> ictorial</span><br />
<span class="Apple-style-span" style="color: red; font-family: Georgia, 'Times New Roman', serif;"><span class="Apple-style-span" style="font-size: large;">A</span>- abstract</span><br />
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<span class="Apple-style-span" style="background-color: #3d85c6; color: white; font-family: Georgia, 'Times New Roman', serif;"><b>This is what we called the CPA approach in learning . When we provide things like concrete materials , the children will be able to learn better by trial and error and has a deeper understanding how a certain things being arranged.</b></span><br />
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<span class="Apple-style-span" style="color: #222222; font-family: Georgia, Utopia, 'Palatino Linotype', Palatino, serif;"><span class="Apple-style-span" style="font-size: 15px; line-height: 21px;"><b>These are some of the interesting activities we did during session two.</b></span></span><br />
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<table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto; text-align: center;"><tbody>
<tr><td style="text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi5t-Xhbtrzyse4zveYvyRLmtHqKmdRJAsl3bKYwbBsQWXbIV-NHaOWb7j1TmklqyD_187KWm5X0u5cUu04Kyx6yWKcIHQwkkfI421z5R8ipRQsDDiOwwozyPKSOYLRM43ThmWX52BC0ec/s1600/IMG_0778.JPG" imageanchor="1" style="margin-left: auto; margin-right: auto;"><img border="0" height="149" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi5t-Xhbtrzyse4zveYvyRLmtHqKmdRJAsl3bKYwbBsQWXbIV-NHaOWb7j1TmklqyD_187KWm5X0u5cUu04Kyx6yWKcIHQwkkfI421z5R8ipRQsDDiOwwozyPKSOYLRM43ThmWX52BC0ec/s200/IMG_0778.JPG" width="200" /></a></td></tr>
<tr><td class="tr-caption" style="text-align: center;">This is a game of picking the largest even numbers.</td></tr>
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<tr><td style="text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEioE_MnveR5f0wwIu6euOtQaT1w3sb2bSrk6yMWioegK7DurZHJYBkouuFKmLXTFJ2mBHxgRqMyKDWL686OtC-fi12fu_QCdG6LEgUXAvUDHpAk1m9afmFx50ONaYPUJULOBccwPLayh_0/s1600/IMG_0776.JPG" imageanchor="1" style="margin-left: auto; margin-right: auto;"><img border="0" height="149" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEioE_MnveR5f0wwIu6euOtQaT1w3sb2bSrk6yMWioegK7DurZHJYBkouuFKmLXTFJ2mBHxgRqMyKDWL686OtC-fi12fu_QCdG6LEgUXAvUDHpAk1m9afmFx50ONaYPUJULOBccwPLayh_0/s200/IMG_0776.JPG" width="200" /></a></td></tr>
<tr><td class="tr-caption" style="text-align: center;">This is a good game for a two players which they have to realize the bad and good number for them.</td></tr>
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</span>www.irene-mathematics.bloghttp://www.blogger.com/profile/11841910354738336652noreply@blogger.com1tag:blogger.com,1999:blog-9185706209061588874.post-72233134380484830382011-08-23T21:23:00.000-07:002011-08-23T21:23:01.735-07:00First Lesson on EDU 330 Elementary Mathematics<span class="Apple-style-span" style="background-color: orange;">Monday 22nd of August 2011</span><br />
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I was so amazed on the first day of my Elementary Mathematics class which I thought will be a boring night.... It was amazing that the lecturer did the lesson creatively, engaging and lot's of fun!<br />
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WHAT IS MATHEMATICS????????????<br />
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For me mathematics deals with number , shapes, problem solving , and equation.<br />
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<span class="Apple-style-span" style="color: red;">According to</span> <span class="Apple-style-span" style="color: red;">MOE Syllabus ...............................</span><br />
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<ul><li><span class="Apple-style-span" style="color: #073763;"> <span class="Apple-style-span" style="background-color: #fff9ee; font-family: 'Helvetica Neue', Arial, Helvetica, sans-serif; font-size: 15px; line-height: 21px;"><strong><em>Mathematics is an excellent vehicle for the development and improvement of a , </em></strong></span></span><span class="Apple-style-span" style="background-color: #fff9ee; font-family: 'Helvetica Neue', Arial, Helvetica, sans-serif; font-size: 15px; line-height: 21px;"><strong><em><span class="Apple-style-span" style="color: #073763;">person’s intellectual competence in logical reasoning, spatial visualisation, analysis </span></em></strong></span><span class="Apple-style-span" style="background-color: #fff9ee; font-family: 'Helvetica Neue', Arial, Helvetica, sans-serif; font-size: 15px; line-height: 21px;"><strong><em><span class="Apple-style-span" style="color: #073763;">and abstract thought. </span></em></strong></span></li>
<li><span class="Apple-style-span" style="background-color: #fff9ee; font-family: 'Helvetica Neue', Arial, Helvetica, sans-serif; font-size: 15px; line-height: 21px;"><strong><em><span class="Apple-style-span" style="color: #073763;">Students develop numeracy, reasoning, thinking skills, and </span></em></strong></span><span class="Apple-style-span" style="background-color: #fff9ee; font-family: 'Helvetica Neue', Arial, Helvetica, sans-serif; font-size: 15px; line-height: 21px;"><strong><em><span class="Apple-style-span" style="color: #073763;">problem solving skills through the learning and application of mathematics.</span></em></strong></span></li>
<li><span class="Apple-style-span" style="background-color: #fff9ee; color: #073763; font-family: 'Helvetica Neue', Arial, Helvetica, sans-serif; font-size: 15px; line-height: 21px;"><b><i><div style="display: inline !important; text-align: justify;">Mathematics is also a subject of enjoyment and excitement, which offers </div></i></b></span><span class="Apple-style-span" style="background-color: #fff9ee; color: #073763; font-family: 'Helvetica Neue', Arial, Helvetica, sans-serif; font-size: 15px; line-height: 21px;"><b><i><div style="display: inline !important; text-align: justify;">students opportunities for creative work and moments of enlightenment and joy. </div></i></b></span></li>
<li><span class="Apple-style-span" style="background-color: #fff9ee; color: #073763; font-family: 'Helvetica Neue', Arial, Helvetica, sans-serif; font-size: 15px; line-height: 21px;"><b><i><div style="display: inline !important; text-align: justify;">When ideas are discovered and insights gained, students are spurred to pursue </div></i></b></span><span class="Apple-style-span" style="background-color: #fff9ee; color: #073763; font-family: 'Helvetica Neue', Arial, Helvetica, sans-serif; font-size: 15px; line-height: 21px;"><b><i><div style="display: inline !important; text-align: justify;">mathematics beyond the classroom wall.</div></i></b></span></li>
</ul><div style="text-align: justify;"><span class="Apple-style-span" style="font-family: 'Helvetica Neue', Arial, Helvetica, sans-serif;"><span class="Apple-style-span" style="font-size: 15px; line-height: 21px;"><b><i>Just to share with you ....</i></b></span></span></div><div style="text-align: center;"><span class="Apple-style-span" style="color: yellow; font-family: 'Helvetica Neue', Arial, Helvetica, sans-serif;"><span class="Apple-style-span" style="background-color: black; font-size: 15px; line-height: 21px;"><b><i><u>How numbers are used differently</u></i></b></span></span></div><div style="text-align: right;"><br />
<span class="Apple-style-span" style="font-family: 'Helvetica Neue', Arial, Helvetica, sans-serif;"><span class="Apple-style-span" style="font-size: 15px; line-height: 21px;"><b><i></i></b></span></span></div><div style="text-align: justify;"><span class="Apple-style-span" style="font-family: 'Helvetica Neue', Arial, Helvetica, sans-serif;"><span class="Apple-style-span" style="font-size: 15px; line-height: 21px;"><b><i>1. Cardinal number- represent the number of objects ex: flower, cookies etc...</i></b></span></span></div><div style="text-align: justify;"><span class="Apple-style-span" style="font-family: 'Helvetica Neue', Arial, Helvetica, sans-serif;"><span class="Apple-style-span" style="font-size: 15px; line-height: 21px;"><b><i></i></b></span></span></div><div style="text-align: justify;"><span class="Apple-style-span" style="font-family: 'Helvetica Neue', Arial, Helvetica, sans-serif; font-size: 15px; line-height: 21px;"><b><i></i></b></span><br />
<span class="Apple-style-span" style="font-family: 'Helvetica Neue', Arial, Helvetica, sans-serif; font-size: 15px; line-height: 21px;"><b><i></i></b></span></div><div style="text-align: justify;"><span class="Apple-style-span" style="font-family: 'Helvetica Neue', Arial, Helvetica, sans-serif; font-size: 15px; line-height: 21px;"><b><i></i></b></span></div><div style="text-align: justify;"><span class="Apple-style-span" style="font-family: 'Helvetica Neue', Arial, Helvetica, sans-serif; font-size: 15px; line-height: 21px;"><b><i>2. Ordinal number- refers to the position of an object</i></b></span></div><div style="text-align: justify;"><span class="Apple-style-span" style="font-family: 'Helvetica Neue', Arial, Helvetica, sans-serif; font-size: 15px; line-height: 21px;"><b><i><br />
</i></b></span></div><div style="text-align: justify;"><span class="Apple-style-span" style="font-family: 'Helvetica Neue', Arial, Helvetica, sans-serif;"><span class="Apple-style-span" style="font-size: 15px; line-height: 21px;"><b><i>ex: 1st, 2nd , 3rd, 4th and so on....</i></b></span></span></div><div style="text-align: justify;"><span class="Apple-style-span" style="font-family: 'Helvetica Neue', Arial, Helvetica, sans-serif;"><span class="Apple-style-span" style="font-size: 15px; line-height: 21px;"><b><i><br />
</i></b></span></span></div><div style="text-align: justify;"><span class="Apple-style-span" style="font-family: 'Helvetica Neue', Arial, Helvetica, sans-serif;"><span class="Apple-style-span" style="font-size: 15px; line-height: 21px;"><b><i>3. Nominal number- It used to label example : bus 14</i></b></span></span></div><div style="text-align: justify;"><span class="Apple-style-span" style="font-family: 'Helvetica Neue', Arial, Helvetica, sans-serif;"><span class="Apple-style-span" style="font-size: 15px; line-height: 21px;"><b><i><br />
</i></b></span></span></div><div style="text-align: justify;"><span class="Apple-style-span" style="font-family: 'Helvetica Neue', Arial, Helvetica, sans-serif;"><span class="Apple-style-span" style="font-size: 15px; line-height: 21px;"><b><i>4. Measurement- it is used to measure numbers that can be standard or non-standard </i></b></span></span></div><div style="text-align: justify;"><span class="Apple-style-span" style="font-family: 'Helvetica Neue', Arial, Helvetica, sans-serif;"><span class="Apple-style-span" style="font-size: 15px; line-height: 21px;"><b><i> unit of measurement.</i></b></span></span></div><div style="text-align: justify;"><span class="Apple-style-span" style="font-family: 'Helvetica Neue', Arial, Helvetica, sans-serif;"><span class="Apple-style-span" style="font-size: 15px; line-height: 21px;"><b><i><br />
</i></b></span></span></div><div style="text-align: center;"><span class="Apple-style-span" style="font-family: 'Helvetica Neue', Arial, Helvetica, sans-serif;"><span class="Apple-style-span" style="background-color: yellow; font-size: 15px; line-height: 21px;"><b><u>What is a meaningful counting?</u></b></span></span></div><div style="text-align: center;"><span class="Apple-style-span" style="font-family: 'Helvetica Neue', Arial, Helvetica, sans-serif;"><span class="Apple-style-span" style="font-size: 15px; line-height: 21px;"><b><i><br />
</i></b></span></span></div><div style="text-align: center;"><span class="Apple-style-span" style="font-family: 'Helvetica Neue', Arial, Helvetica, sans-serif;"><span class="Apple-style-span" style="font-size: 15px; line-height: 21px;"><b><i>one to one correspondence</i></b></span></span></div><div style="text-align: center;"><span class="Apple-style-span" style="font-family: 'Helvetica Neue', Arial, Helvetica, sans-serif;"><span class="Apple-style-span" style="font-size: 15px; line-height: 21px;"><b><i>ability to classify and sort</i></b></span></span></div><div style="text-align: center;"><span class="Apple-style-span" style="font-family: 'Helvetica Neue', Arial, Helvetica, sans-serif;"><span class="Apple-style-span" style="font-size: 15px; line-height: 21px;"><b><i>ability to rote count</i></b></span></span></div><div style="text-align: center;"><span class="Apple-style-span" style="font-family: 'Helvetica Neue', Arial, Helvetica, sans-serif;"><span class="Apple-style-span" style="font-size: 15px; line-height: 21px;"><b><i>the last number that is uttered represent the number.</i></b></span></span></div><div style="text-align: justify;"><span class="Apple-style-span" style="font-family: 'Helvetica Neue', Arial, Helvetica, sans-serif;"><span class="Apple-style-span" style="font-size: 15px; line-height: 21px;"><b><i><br />
</i></b></span></span></div><div style="text-align: justify;"><span class="Apple-style-span" style="font-family: 'Helvetica Neue', Arial, Helvetica, sans-serif;"><span class="Apple-style-span" style="font-size: 15px; line-height: 21px;"><b><i><br />
</i></b></span></span></div><div style="text-align: justify;"><span class="Apple-style-span" style="font-family: 'Helvetica Neue', Arial, Helvetica, sans-serif;"><span class="Apple-style-span" style="font-size: 15px; line-height: 21px;"><b><i> I am very eager to come for the next session as it was fun and exciting class!!!!!!!</i></b></span></span></div><div style="text-align: justify;"><span class="Apple-style-span" style="font-family: 'Helvetica Neue', Arial, Helvetica, sans-serif;"><span class="Apple-style-span" style="font-size: 15px; line-height: 21px;"><b><i><br />
</i></b></span></span></div><div style="text-align: justify;"><span class="Apple-style-span" style="font-family: 'Helvetica Neue', Arial, Helvetica, sans-serif;"><span class="Apple-style-span" style="font-size: 15px; line-height: 21px;"><b><i></i></b></span></span><br />
<span class="Apple-style-span" style="font-family: 'Helvetica Neue', Arial, Helvetica, sans-serif;"><span class="Apple-style-span" style="font-size: 15px; line-height: 21px;"><b><i></i></b></span></span></div>www.irene-mathematics.bloghttp://www.blogger.com/profile/11841910354738336652noreply@blogger.com0tag:blogger.com,1999:blog-9185706209061588874.post-25784227783658276702011-08-16T22:55:00.000-07:002011-08-16T22:55:53.613-07:00Reflection on pre-course readingsI've been a teacher for more than a decade but have not experience teaching mathematics to young learners. As I was reading this book, it gives me the courage to teach mathematics. I found out that knowledge of mathematics and how students learn mathematics are the most important tools that I can acquire to be an effective mathematics educator. Honestly, I am a person who really hates mathematics during primary school , but this attitude change when I met my algebra teacher. She was really compassionate and willing to teach me until I grasped the concept of it. In this experience, I can relate myself to other students who also hated mathematics. If the teacher is able to find ways and strategies to help them learn I think most of the students will love mathematics.<br />
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There are principles and standards that has been designed for teachers as guide and direction in teaching this subject released by the (NCTM) or National Council of Teachers of Mathematics. These principles and standards will help me and other beginners in teaching mathematics.<br />
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There are many ways to develop children's understanding on the different concepts like using models and manipulative to support their learning.<br />
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I was looking forward that at the end of this module, I will be able to teach mathematics and use the knowledge and strategies I will learn. Teaching mathematics will be a new great experience for me as an educator but I have to do something to become an effective mathematics teacher. Attending training, reading mathematics articles, continuous learning and perseverance will be my keys to be a mathematics educator.www.irene-mathematics.bloghttp://www.blogger.com/profile/11841910354738336652noreply@blogger.com0tag:blogger.com,1999:blog-9185706209061588874.post-14768445888748215132011-08-16T03:36:00.000-07:002011-08-16T03:36:27.858-07:00Videos related to manipulatives<div class="separator" style="clear: both; text-align: center;"><iframe allowfullscreen='allowfullscreen' webkitallowfullscreen='webkitallowfullscreen' mozallowfullscreen='mozallowfullscreen' width='320' height='266' src='https://www.youtube.com/embed/2Zss6mdkkRU?feature=player_embedded' frameborder='0'></iframe></div><br />
www.irene-mathematics.bloghttp://www.blogger.com/profile/11841910354738336652noreply@blogger.com0