tag:blogger.com,1999:blog-49168506990882903072024-03-19T14:16:03.451-07:00Naquiah'sNaquiahhttp://www.blogger.com/profile/07727059843776406777noreply@blogger.comBlogger7125tag:blogger.com,1999:blog-4916850699088290307.post-89461194487764584342013-08-19T00:02:00.000-07:002013-08-19T00:02:53.747-07:00Last Class.
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<span style="font-family: "Arial","sans-serif"; mso-fareast-language: ZH-CN;">17 August 2013<o:p></o:p></span></div>
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<span style="font-family: "Arial","sans-serif"; mso-fareast-language: ZH-CN;">Today’s lesson was very enriching and interesting. I had lots of fun. It
was worth it to come to class on a SATURDAY morning. We did 2 interesting
activities.<o:p></o:p></span></div>
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<span style="font-family: "Arial","sans-serif"; mso-fareast-language: ZH-CN;">1. Card Trick<o:p></o:p></span></div>
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<span style="font-family: "Arial","sans-serif"; mso-fareast-language: ZH-CN;">I had seen this trick before and is always curious to know how to do it.
When Ms. Peggy told us to find out the trick behind the card trick, I was very
keen. After much trial and error and trying to ways on how the trick works,
finally, my partner and I unveil the “secret” behind this trick. <o:p></o:p></span></div>
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<span style="font-family: "Arial","sans-serif"; mso-fareast-language: ZH-CN;">Well, it was not something amazing and “magical” though but the
satisfaction that I gained was great. All I can say is that the trick is all
about MATH.<o:p></o:p></span></div>
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<span style="font-family: "Arial","sans-serif"; mso-fareast-language: ZH-CN;"><o:p> </o:p></span></div>
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<span style="font-family: "Arial","sans-serif"; mso-fareast-language: ZH-CN;">2. Paper Cutting<o:p></o:p></span></div>
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<span style="font-family: "Arial","sans-serif"; mso-fareast-language: ZH-CN;">This is another interesting activity. I didn’t expect a simple cutting
activity can also be a math problem solving exercise. This activity is a group
one. We had to predict and guess on what the paper will look like after being
folded for the 4<sup><span style="font-size: x-small;">th</span></sup> and 5<sup><span style="font-size: x-small;">th</span></sup> time and cut at its right
angle corner. The results look intricate if the paper is folded more times.
However, there is a “trick” to it.<o:p></o:p></span></div>
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<span style="font-family: "Arial","sans-serif"; mso-fareast-language: ZH-CN;">All you need to learn is to VISUALISE AND FIND THE PATTERN.<o:p></o:p></span></div>
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<span style="font-family: "Arial","sans-serif"; mso-fareast-language: ZH-CN;">If you can visualize and see the pattern, you can easily predict and
guess the pattern that will surface after cutting the paper which had been
folded many times without having to have the concrete materials. <o:p></o:p></span></div>
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<span style="font-family: "Arial","sans-serif"; mso-fareast-language: ZH-CN;">Ms. Peggy also touched on differentiating instructions. Instructions can
be differentiated by<o:p></o:p></span></div>
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</span></span></span><!--[endif]--><span style="font-family: "Arial","sans-serif"; mso-fareast-language: ZH-CN;">Content<o:p></o:p></span></div>
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</span></span></span><!--[endif]--><span style="font-family: "Arial","sans-serif"; mso-fareast-language: ZH-CN;">Process<o:p></o:p></span></div>
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</span></span></span><!--[endif]--><span style="font-family: "Arial","sans-serif"; mso-fareast-language: ZH-CN;">Product<o:p></o:p></span></div>
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<span style="font-family: "Arial","sans-serif"; mso-fareast-language: ZH-CN;">This is differentiation in instructions are to cater to children’s individual
needs. It helps in enhancing each child’s fullest potential without
pressurizing them. This is because the instructions and activities are planned
according to their level of understanding.<o:p></o:p></span></div>
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<span style="font-family: "Arial","sans-serif"; mso-fareast-language: ZH-CN;">All in all, the 6 sessions on Elementary Mathematics with Dr. Yeap and
Ms. Peggy were very fruitful and meaningful. I gained many useful knowledge
from them and it was very refreshing to be learning math again – in different
yet interesting ways.<o:p></o:p></span></div>
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<span style="font-family: "Arial","sans-serif"; mso-fareast-language: ZH-CN;"><o:p> </o:p></span></div>
Naquiahhttp://www.blogger.com/profile/07727059843776406777noreply@blogger.com0tag:blogger.com,1999:blog-4916850699088290307.post-82935196762176424342013-08-17T09:32:00.000-07:002013-08-18T09:36:24.439-07:00Geometry and whatever that comes with it....16 August 2013<br />
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<span style="font-family: "Arial","sans-serif";">Today we had
to go to a nearby art museum to look for art work. No, we are not learning
about the elements of drawing, paintings etc. But we are looking for art pieces
that can be used to inspire us to create lessons that incorporate all the
different subject areas especially Math. <o:p></o:p></span></div>
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<span style="font-family: "Arial","sans-serif";">In class, we
did geometry. One of the few topics in secondary school that I find interesting
and paid attention to in class. <o:p></o:p></span></div>
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<span style="font-family: "Arial","sans-serif";"><br /></span></div>
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<span style="font-family: "Arial","sans-serif";">We learnt to
find angles in parallelograms and triangles using various methods like,
algebra, using protractor (if the diagram are drawn to scale), elimination and substation
using the rules in geometry and of course, our common sense. </span><span style="font-family: Arial, sans-serif;">Ok, what I meant
was visualization.</span><br />
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<span style="font-family: "Arial","sans-serif";">Then, we
wrote our 5<sup>th</sup> journal entry in class. We had to <span style="background: white; color: #222222;">write two story problems to show the
difference between 1/2 divided by 4 and 1/2 divided by 1/4.</span><o:p></o:p></span></div>
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<span style="background: white; color: #222222; font-family: "Arial","sans-serif";">All went well. Am looking forward to attend tomorrow’s class
by Ms. Peggy. <o:p></o:p></span></div>
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<span style="background: white; color: #222222; font-family: "Arial","sans-serif";">I wonder… what are we going to touch on…<o:p></o:p></span></div>
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<span style="background: white; color: #222222; font-family: "Arial","sans-serif";">With that...</span></div>
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Naquiahhttp://www.blogger.com/profile/07727059843776406777noreply@blogger.com0tag:blogger.com,1999:blog-4916850699088290307.post-56295637321609398272013-08-16T09:10:00.000-07:002013-08-18T09:14:30.016-07:00Semantics and Fractions<div class="separator" style="clear: both; text-align: center;">
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15 August 2013</div>
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In order to solve a math problem, we need to understand the
meaning of the problem and the what the is it asking for. <o:p></o:p></div>
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Three general semantic categories of addition and subtraction word problems </div>
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</div>
<ol>
<li>Before and After</li>
<li>Part and Whole Situation</li>
<li>Comparison</li>
</ol>
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o:title=""/>
</v:shape><![endif]--><!--[if !vml]--><!--[endif]--><o:p></o:p></div>
<div class="MsoNormal">
Children need to be given a variation of semantics to learn
better. This is to provide them with many versions of problems to solve rather
than having only one dimension of a problem and when there is a change or twist
in a problem, they get stuck. <o:p></o:p></div>
<div class="MsoNormal">
<br /></div>
<div class="MsoNormal">
Variation is important, repetition is pointless.<o:p></o:p></div>
<div class="MsoNormal">
<br /></div>
<div class="MsoNormal">
For the lesson on fractions, we did 2/3 divided by 5.<o:p></o:p></div>
<div class="MsoNormal">
We came out with 2 methods to solve it. <o:p></o:p></div>
<div class="MsoNormal">
<br /></div>
<div class="MsoNormal">
</div>
<ol>
<li>Drawing a model and divide it into 15 equal parts so that
the whole portion is easier to be divided by 5.</li>
<li>To invert 5 into 1/5. This is because if we are sharing a
portion of something into 5 people, it means that each person will get 1/5 of
the portion.</li>
</ol>
<o:p></o:p><br />
<div class="MsoNormal">
<o:p></o:p></div>
<div class="MsoNormal">
We also learnt that 2/3 x 1/5 carries a different meaning
compared to 1/5 x 2/3 even though both sums gave the same answer. <o:p></o:p></div>
<div class="MsoNormal">
<br /></div>
<div class="MsoNormal">
1/5 x 2/3 – we are interested in 1/5 out of 2/3<o:p></o:p></div>
<div class="MsoNormal">
2/3 x 1/5 – we are interested in 2/3 of 1/5<o:p></o:p></div>
<div class="MsoNormal">
<br /></div>
<div class="MsoNormal">
Math is all about understanding. <o:p></o:p></div>
<div class="MsoNormal">
<br /></div>
<div class="MsoNormal">
And I agree!<o:p></o:p></div>
<div class="MsoNormal">
<br /></div>
<div class="MsoNormal">
</div>
<div class="MsoNormal">
<br /></div>
Naquiahhttp://www.blogger.com/profile/07727059843776406777noreply@blogger.com0tag:blogger.com,1999:blog-4916850699088290307.post-71336782451101330832013-08-15T07:58:00.000-07:002013-08-18T08:04:11.991-07:00How many Minions?<div class="MsoNormal">
14 August 2013<br />
<br />
Today’s lesson on whole numbers gave me ideas on how to
provide more variety in my math lessons with the kids. <o:p></o:p></div>
<div class="MsoNormal">
<br /></div>
<div class="MsoNormal">
One of the activities we did in class today was to find as many
possible numbers of minions we have if there are 7 eyes. <o:p></o:p></div>
<div class="MsoNormal">
<br /></div>
<div class="MsoNormal">
I personally find this activity interesting because firstly,
it uses materials that will capture children’s interest and attention – which in
this case are the minions. Secondly, it intrigues our curiosity into wanting to
know more and it acts as a motivation for us to try our best to get to the
answer. Seriously, the process and experience in getting to the answers are
very meaningful. <o:p></o:p></div>
<div class="MsoNormal">
<br /></div>
<div class="MsoNormal">
Getting to the answers was a bonus though. <o:p></o:p></div>
<div class="MsoNormal">
<br /></div>
<div class="MsoNormal">
Apart from the mentioned activity, we also touched on
fractions (equal parts). </div>
<div class="MsoNormal">
<br /></div>
<div class="MsoNormal">
Dr. Yeap showed us how to apply the CPA approach in
finding 4 equal parts in a rectangle. <o:p></o:p></div>
<div class="MsoNormal">
The most important take-away for today’s lesson will be the “golden
question”…<o:p></o:p></div>
<div class="MsoNormal">
<br /></div>
<div class="MsoNormal">
“WHY CHILDREN CANNOT COUNT?”<o:p></o:p></div>
<div class="MsoNormal">
<br /></div>
<div class="MsoNormal">
There are a number of reasons that Dr. Yeap enlightened us
with. <o:p></o:p></div>
<div class="MsoNormal">
They are:<o:p></o:p></div>
<div class="MsoListParagraphCxSpFirst" style="mso-list: l0 level1 lfo1; text-indent: -.25in;">
</div>
<ul>
<li><span style="font-family: Symbol; text-indent: -0.25in;">·<span style="font-family: 'Times New Roman'; font-size: 7pt;">
</span></span><span style="text-indent: -0.25in;">The inability to one-to-one correspond</span></li>
<li><span style="font-family: Symbol; text-indent: -0.25in;">·<span style="font-family: 'Times New Roman'; font-size: 7pt;">
</span></span><span style="text-indent: -0.25in;">The inability to classify objects</span></li>
<li><span style="font-family: Symbol; text-indent: -0.25in;">·<span style="font-family: 'Times New Roman'; font-size: 7pt;">
</span></span><span style="text-indent: -0.25in;">No number sequence</span></li>
<li><span style="font-family: Symbol; text-indent: -0.25in;">·<span style="font-family: 'Times New Roman'; font-size: 7pt;">
</span></span><span style="text-indent: -0.25in;">No variations in math lesson and application</span></li>
<li><span style="font-family: Symbol; text-indent: -0.25in;">·<span style="font-family: 'Times New Roman'; font-size: 7pt;">
</span></span><span style="text-indent: -0.25in;">Do not appreciate the last number uttered
represent the set</span></li>
</ul>
Naquiahhttp://www.blogger.com/profile/07727059843776406777noreply@blogger.com0tag:blogger.com,1999:blog-4916850699088290307.post-34408783205817780822013-08-14T07:55:00.000-07:002013-08-18T08:03:17.416-07:00Whole Numbers.<div class="MsoNormal">
<span style="font-size: 12.0pt; line-height: 115%;">13 august 2013</span><br />
<span style="font-size: 12.0pt; line-height: 115%;"><br /></span>
<span style="font-size: 12.0pt; line-height: 115%;">What are
numbers used for?<o:p></o:p></span></div>
<div class="MsoListParagraphCxSpFirst" style="mso-list: l2 level1 lfo1; text-indent: -.25in;">
<!--[if !supportLists]--><span style="font-family: Wingdings; font-size: 12.0pt; line-height: 115%; mso-bidi-font-family: Wingdings; mso-fareast-font-family: Wingdings;">ü<span style="font-family: 'Times New Roman'; font-size: 7pt; line-height: normal;"> </span></span><!--[endif]--><span style="font-size: 12.0pt; line-height: 115%;">Ordinal numbers – </span><span style="background: white; font-size: 12.0pt; line-height: 115%; mso-bidi-font-family: Helvetica;">tell the<span class="apple-converted-space"> </span>order of things in a set—first,
second, third, etc. Ordinal numbers do not show quantity. They only<span class="apple-converted-space"> </span>show<span class="apple-converted-space"> </span>rank or position</span><span style="background: white; font-family: "Helvetica","sans-serif"; font-size: 12.0pt; line-height: 115%; mso-bidi-font-weight: bold;">.</span><span style="font-size: 12.0pt; line-height: 115%;"><o:p></o:p></span></div>
<div class="MsoListParagraphCxSpMiddle" style="margin-left: 1.0in; mso-add-space: auto; mso-list: l3 level1 lfo3; text-indent: -.25in;">
<!--[if !supportLists]--><span style="font-family: Wingdings; font-size: 12.0pt; line-height: 115%; mso-bidi-font-family: Wingdings; mso-fareast-font-family: Wingdings;">§<span style="font-family: 'Times New Roman'; font-size: 7pt; line-height: normal;"> </span></span><!--[endif]--><span style="font-size: 12.0pt; line-height: 115%;">In relation to time (e.g. 2<sup>nd</sup>
child in the family)<o:p></o:p></span></div>
<div class="MsoListParagraphCxSpMiddle" style="margin-left: 1.0in; mso-add-space: auto; mso-list: l3 level1 lfo3; text-indent: -.25in;">
<!--[if !supportLists]--><span style="font-family: Wingdings; font-size: 12.0pt; line-height: 115%; mso-bidi-font-family: Wingdings; mso-fareast-font-family: Wingdings;">§<span style="font-family: 'Times New Roman'; font-size: 7pt; line-height: normal;"> </span></span><!--[endif]--><span style="font-size: 12.0pt; line-height: 115%;">In relation to space (e.g. 2<sup>nd</sup>
from the finishing line)<o:p></o:p></span></div>
<div class="MsoListParagraphCxSpMiddle">
<br /></div>
<div class="MsoListParagraphCxSpMiddle" style="mso-list: l2 level1 lfo1; text-indent: -.25in;">
<!--[if !supportLists]--><span style="font-family: Wingdings; font-size: 12.0pt; line-height: 115%; mso-bidi-font-family: Wingdings; mso-fareast-font-family: Wingdings;">ü<span style="font-family: 'Times New Roman'; font-size: 7pt; line-height: normal;"> </span></span><!--[endif]--><span style="font-size: 12.0pt; line-height: 115%;">Nominal number - </span><span style="background: white; font-size: 12.0pt; line-height: 115%; mso-bidi-font-family: Helvetica;">a telephone number, a player on a team. Nominal numbers do
not show quantity or rank. They are used only to<span class="apple-converted-space"> </span>identify something.</span><span style="font-size: 12.0pt; line-height: 115%;"><o:p></o:p></span></div>
<div class="MsoListParagraphCxSpMiddle">
<br /></div>
<div class="MsoListParagraphCxSpMiddle" style="mso-list: l2 level1 lfo1; text-indent: -.25in;">
<!--[if !supportLists]--><span style="font-family: Wingdings; font-size: 12.0pt; line-height: 115%; mso-bidi-font-family: Wingdings; mso-fareast-font-family: Wingdings;">ü<span style="font-family: 'Times New Roman'; font-size: 7pt; line-height: normal;"> </span></span><!--[endif]--><span class="apple-converted-space"><span style="background: white; font-size: 12.0pt; line-height: 115%; mso-bidi-font-family: Helvetica;"> </span></span><span style="background: white; font-size: 12.0pt; line-height: 115%; mso-bidi-font-family: Helvetica; mso-bidi-font-weight: bold;">Cardinal number</span><span class="apple-converted-space"><span style="background: white; font-size: 12.0pt; line-height: 115%; mso-bidi-font-family: Helvetica;"> </span></span><span style="background: white; font-size: 12.0pt; line-height: 115%; mso-bidi-font-family: Helvetica;">- tells<span class="apple-converted-space"> </span>"how many."<span class="apple-converted-space"> </span>Cardinal numbers show quantity.</span><span style="font-size: 12.0pt; line-height: 115%;"><o:p></o:p></span></div>
<div class="MsoListParagraphCxSpMiddle">
<br /></div>
<div class="MsoListParagraphCxSpLast" style="mso-list: l2 level1 lfo1; text-indent: -.25in;">
<!--[if !supportLists]--><span style="font-family: Wingdings; font-size: 12.0pt; line-height: 115%; mso-bidi-font-family: Wingdings; mso-fareast-font-family: Wingdings;">ü<span style="font-family: 'Times New Roman'; font-size: 7pt; line-height: normal;"> </span></span><!--[endif]--><span style="font-size: 12.0pt; line-height: 115%;">Measurement – Standard Index unit (SI
unit)<o:p></o:p></span></div>
<div class="MsoNormal">
<br /></div>
<div class="MsoNormal">
<span style="font-size: 12.0pt; line-height: 115%;">There are
many ways to find the sum of numbers.<o:p></o:p></span></div>
<div class="MsoNormal">
<span style="font-size: 12.0pt; line-height: 115%;">One of the
ways is by using ten frames.<o:p></o:p></span></div>
<div class="MsoNormal">
<span style="font-size: 12.0pt; line-height: 115%;">Advantages
of using 10 frames for children are:<o:p></o:p></span></div>
<div class="MsoListParagraphCxSpFirst" style="mso-list: l0 level1 lfo2; text-indent: -.25in;">
<!--[if !supportLists]--><span style="font-family: Symbol; font-size: 12.0pt; line-height: 115%; mso-bidi-font-family: Symbol; mso-fareast-font-family: Symbol;">·<span style="font-family: 'Times New Roman'; font-size: 7pt; line-height: normal;">
</span></span><!--[endif]--><span style="font-size: 12.0pt; line-height: 115%;">Visual<o:p></o:p></span></div>
<div class="MsoListParagraphCxSpMiddle" style="mso-list: l0 level1 lfo2; text-indent: -.25in;">
<!--[if !supportLists]--><span style="font-family: Symbol; font-size: 12.0pt; line-height: 115%; mso-bidi-font-family: Symbol; mso-fareast-font-family: Symbol;">·<span style="font-family: 'Times New Roman'; font-size: 7pt; line-height: normal;">
</span></span><!--[endif]--><span style="font-size: 12.0pt; line-height: 115%;">Concrete<o:p></o:p></span></div>
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<!--[if !supportLists]--><span style="font-family: Symbol; font-size: 12.0pt; line-height: 115%; mso-bidi-font-family: Symbol; mso-fareast-font-family: Symbol;">·<span style="font-family: 'Times New Roman'; font-size: 7pt; line-height: normal;">
</span></span><!--[endif]--><span style="font-size: 12.0pt; line-height: 115%;">Number
bonds<o:p></o:p></span></div>
<div class="MsoListParagraphCxSpMiddle" style="mso-list: l0 level1 lfo2; text-indent: -.25in;">
<!--[if !supportLists]--><span style="font-family: Symbol; font-size: 12.0pt; line-height: 115%; mso-bidi-font-family: Symbol; mso-fareast-font-family: Symbol;">·<span style="font-family: 'Times New Roman'; font-size: 7pt; line-height: normal;">
</span></span><!--[endif]--><span style="font-size: 12.0pt; line-height: 115%;">Number
conservation<o:p></o:p></span></div>
<div class="MsoListParagraphCxSpMiddle" style="mso-list: l0 level1 lfo2; text-indent: -.25in;">
<!--[if !supportLists]--><span style="font-family: Symbol; font-size: 12.0pt; line-height: 115%; mso-bidi-font-family: Symbol; mso-fareast-font-family: Symbol;">·<span style="font-family: 'Times New Roman'; font-size: 7pt; line-height: normal;">
</span></span><!--[endif]--><span style="font-size: 12.0pt; line-height: 115%;">One-to-one
correspondence<o:p></o:p></span></div>
<div class="MsoListParagraphCxSpLast" style="mso-list: l0 level1 lfo2; text-indent: -.25in;">
<!--[if !supportLists]--><span style="font-family: Symbol; font-size: 12.0pt; line-height: 115%; mso-bidi-font-family: Symbol; mso-fareast-font-family: Symbol;">·<span style="font-family: 'Times New Roman'; font-size: 7pt; line-height: normal;">
</span></span><!--[endif]--><span style="font-size: 12.0pt; line-height: 115%;">Cultivate
place values (ones in relation to 10)<o:p></o:p></span></div>
<div class="MsoNormal">
<span style="font-size: 12.0pt; line-height: 115%;">Take-away
for today:<o:p></o:p></span></div>
<div class="MsoListParagraphCxSpFirst" style="mso-list: l1 level1 lfo4; text-indent: -.25in;">
<!--[if !supportLists]--><span style="font-family: Wingdings; font-size: 12.0pt; line-height: 115%; mso-bidi-font-family: Wingdings; mso-fareast-font-family: Wingdings;">v<span style="font-family: 'Times New Roman'; font-size: 7pt; line-height: normal;"> </span></span><!--[endif]--><span style="font-size: 12.0pt; line-height: 115%;">Things with different nouns cannot be
added or subtracted<o:p></o:p></span></div>
<div class="MsoListParagraphCxSpLast" style="mso-list: l1 level1 lfo4; text-indent: -.25in;">
<!--[if !supportLists]--><span style="font-family: Wingdings; font-size: 12.0pt; line-height: 115%; mso-bidi-font-family: Wingdings; mso-fareast-font-family: Wingdings;">v<span style="font-family: 'Times New Roman'; font-size: 7pt; line-height: normal;"> </span></span><!--[endif]--><span style="font-size: 12.0pt; line-height: 115%;">If a task has constraints, there are
opportunities to problem solve.<o:p></o:p></span></div>
<div class="MsoNormal">
<br /></div>
<br />
<div class="MsoNormal">
<br /></div>
Naquiahhttp://www.blogger.com/profile/07727059843776406777noreply@blogger.com0tag:blogger.com,1999:blog-4916850699088290307.post-64472040147186398422013-08-13T01:12:00.000-07:002013-08-18T08:03:03.815-07:00First Class...<div class="MsoNormal">
12 August 2013<br />
<br />
First Class…<o:p></o:p></div>
<div class="MsoNormal">
Today is the first class for the module EDU 330 Elementary
Mathematics. I was looking forward to learn more about math.<o:p></o:p></div>
<div class="MsoNormal">
Here are some of the things that I learnt in class today:<o:p></o:p></div>
<div class="MsoListParagraphCxSpFirst" style="mso-list: l1 level1 lfo1; text-indent: -.25in;">
<!--[if !supportLists]--><span style="font-family: Wingdings; mso-bidi-font-family: Wingdings; mso-fareast-font-family: Wingdings;">ü<span style="font-family: 'Times New Roman'; font-size: 7pt;">
</span></span><!--[endif]-->Children learn mathematics in many ways<o:p></o:p></div>
<div class="MsoListParagraphCxSpMiddle" style="margin-left: .75in; mso-add-space: auto; mso-list: l0 level1 lfo2; text-indent: -.25in;">
<!--[if !supportLists]-->1.<span style="font-size: 7pt;">
</span><!--[endif]-->Through visualization<o:p></o:p></div>
<div class="MsoListParagraphCxSpMiddle" style="margin-left: .75in; mso-add-space: auto; mso-list: l0 level1 lfo2; text-indent: -.25in;">
<!--[if !supportLists]-->2.<span style="font-size: 7pt;">
</span><!--[endif]-->Looking for patterns and generalisation<o:p></o:p></div>
<div class="MsoListParagraphCxSpMiddle" style="margin-left: .75in; mso-add-space: auto; mso-list: l0 level1 lfo2; text-indent: -.25in;">
<!--[if !supportLists]-->3.<span style="font-size: 7pt;">
</span><!--[endif]-->Number sense<o:p></o:p></div>
<div class="MsoListParagraphCxSpLast" style="margin-left: .75in; mso-add-space: auto; mso-list: l0 level1 lfo2; text-indent: -.25in;">
<!--[if !supportLists]-->4.<span style="font-size: 7pt;">
</span><!--[endif]-->Metacognition<o:p></o:p></div>
<div class="MsoNormal">
<br /></div>
<div class="MsoListParagraphCxSpFirst" style="mso-list: l1 level1 lfo1; text-indent: -.25in;">
<!--[if !supportLists]--><span style="font-family: Wingdings; mso-bidi-font-family: Wingdings; mso-fareast-font-family: Wingdings;">ü<span style="font-family: 'Times New Roman'; font-size: 7pt;">
</span></span><!--[endif]-->3 ways of teaching<o:p></o:p></div>
<div class="MsoListParagraphCxSpMiddle" style="margin-left: .75in; mso-add-space: auto; mso-list: l2 level1 lfo3; text-indent: -.25in;">
<!--[if !supportLists]-->1.<span style="font-size: 7pt;">
</span><!--[endif]-->Learning through exploration<o:p></o:p></div>
<div class="MsoListParagraphCxSpMiddle" style="margin-left: .75in; mso-add-space: auto; mso-list: l2 level1 lfo3; text-indent: -.25in;">
<!--[if !supportLists]-->2.<span style="font-size: 7pt;">
</span><!--[endif]-->Scaffolding/Prompting/Questioning<o:p></o:p></div>
<div class="MsoListParagraphCxSpLast" style="margin-left: .75in; mso-add-space: auto; mso-list: l2 level1 lfo3; text-indent: -.25in;">
<!--[if !supportLists]-->3.<span style="font-size: 7pt;">
</span><!--[endif]-->Teaching by role modeling<o:p></o:p></div>
<div class="MsoNormal">
Through these ways of teaching, it helps children to
construct knowledge. Children learn best by constructing knowledge and not by
giving information. This is because knowledge last but information can be
forgotten.<o:p></o:p></div>
<div class="MsoNormal">
<br /></div>
<div class="MsoListParagraphCxSpFirst" style="mso-list: l1 level1 lfo1; text-indent: -.25in;">
<!--[if !supportLists]--><span style="font-family: Wingdings; mso-bidi-font-family: Wingdings; mso-fareast-font-family: Wingdings;">ü<span style="font-family: 'Times New Roman'; font-size: 7pt;">
</span></span><!--[endif]-->Jerome Bruner’s CPA Approach<o:p></o:p></div>
<div class="MsoListParagraphCxSpMiddle">
C – Concrete<o:p></o:p></div>
<div class="MsoListParagraphCxSpLast" style="margin-left: .75in; mso-add-space: auto; mso-list: l3 level1 lfo4; text-indent: -.25in;">
<!--[if !supportLists]-->-<span style="font-size: 7pt;">
</span><!--[endif]-->Children first learn to construct knowledge by
having concrete materials to explore with<o:p></o:p></div>
<div class="MsoNormal" style="margin-left: .5in;">
P – Pictorial<o:p></o:p></div>
<div class="MsoListParagraph" style="margin-left: .75in; mso-add-space: auto; mso-list: l3 level1 lfo4; text-indent: -.25in;">
<!--[if !supportLists]-->-<span style="font-size: 7pt;">
</span><!--[endif]-->Children will move on in constructing knowledge
through pictorial aid <o:p></o:p></div>
<div class="MsoNormal" style="margin-left: .5in;">
A – Abstract<o:p></o:p></div>
<br />
<div class="MsoListParagraph" style="margin-left: .75in; mso-add-space: auto; mso-list: l3 level1 lfo4; text-indent: -.25in;">
<!--[if !supportLists]-->-<span style="font-size: 7pt;">
</span><!--[endif]-->Children will be able to construct knowledge and
problem solve through abstract methods. For example by using symbols like
numbers etc.</div>
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<br /></div>
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Naquiahhttp://www.blogger.com/profile/07727059843776406777noreply@blogger.com0tag:blogger.com,1999:blog-4916850699088290307.post-42897868980307457392013-08-11T22:00:00.000-07:002013-08-11T07:52:26.387-07:00EDU 330 Elementary Mathematics<div class="MsoNormal" style="text-align: justify;">
Mathematics education has been
undergoing steady change for the past two decades. One of the factors to the
changes is the public or political pressure for change in mathematics education
due to student performance in national and international studies. <i>Standards and Principles for School
Mathematics</i> (NCTM, 200) provides guidance and direction for teachers and
other leaders in mathematics education. <i>Standards
and Principles</i> includes four grade bands. There are five standards contents
throughout the grades. They are, <o:p></o:p></div>
<div class="MsoListParagraphCxSpFirst" style="mso-list: l0 level1 lfo1; text-align: justify; text-indent: -.25in;">
</div>
<ul>
<li><span style="font-family: Symbol; text-indent: -0.25in;">·<span style="font-family: 'Times New Roman'; font-size: 7pt;">
</span></span><span style="text-indent: -0.25in;">Number and Operations</span></li>
<li><span style="font-family: Symbol; text-indent: -0.25in;">·<span style="font-family: 'Times New Roman'; font-size: 7pt;">
</span></span><span style="text-indent: -0.25in;">Algebra</span></li>
<li><span style="font-family: Symbol; text-indent: -0.25in;">·<span style="font-family: 'Times New Roman'; font-size: 7pt;">
</span></span><span style="text-indent: -0.25in;">Geometry</span></li>
<li><span style="font-family: Symbol; text-indent: -0.25in;">·<span style="font-family: 'Times New Roman'; font-size: 7pt;">
</span></span><span style="text-indent: -0.25in;">Measurement</span></li>
<li><span style="font-family: Symbol; text-indent: -0.25in;">·<span style="font-family: 'Times New Roman'; font-size: 7pt;">
</span></span><span style="text-indent: -0.25in;">Data Analysis and Probability</span></li>
</ul>
<!--[if !supportLists]--><o:p></o:p><br />
<div class="MsoListParagraphCxSpMiddle" style="mso-list: l0 level1 lfo1; text-align: justify; text-indent: -.25in;">
<o:p></o:p></div>
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<o:p></o:p></div>
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<o:p></o:p></div>
<div class="MsoListParagraphCxSpLast" style="mso-list: l0 level1 lfo1; text-align: justify; text-indent: -.25in;">
<o:p></o:p></div>
<div class="MsoNormal" style="text-align: justify;">
Each content standard has its own
set of goals that are applicable for the different grade bands and expectations
of what they students should know. All the five contents are applicable across
all the grades; there is different emphasis in every grade band. <o:p></o:p></div>
<div class="MsoNormal" style="text-align: justify;">
Following the five standard
contents, are five process standards. They are;<o:p></o:p></div>
<div class="MsoListParagraphCxSpFirst" style="mso-list: l1 level1 lfo2; text-align: justify; text-indent: -.25in;">
</div>
<ul>
<li><span style="font-family: Symbol; text-indent: -0.25in;">·<span style="font-family: 'Times New Roman'; font-size: 7pt;">
</span></span><span style="text-indent: -0.25in;">Problem solving – Using problem solving as a
tool for students to develop mathematical ideas. Students are also encourage to
apply and adapt variety of appropriate strategies to solve problems</span></li>
<li><span style="font-family: Symbol; text-indent: -0.25in;">·<span style="font-family: 'Times New Roman'; font-size: 7pt;">
</span></span><span style="text-indent: -0.25in;">Reasoning and Proof – Students are encouraged to
use logical thinking to provide rationale as part of their answers. This is to
prove on whether or not their answers make sense.</span></li>
<li><span style="font-family: Symbol; text-indent: -0.25in;">·<span style="font-family: 'Times New Roman'; font-size: 7pt;">
</span></span><span style="text-indent: -0.25in;">Communication – Being able to talk, write,
describe and explain about their mathematical ideas.</span></li>
<li><span style="font-family: Symbol; text-indent: -0.25in;">·<span style="font-family: 'Times New Roman'; font-size: 7pt;">
</span></span><span style="text-indent: -0.25in;">Connections – Students being able to connect
mathematics within and among mathematical ideas or to connect with the real
world and other subject areas like art, science, language arts and social
studies.</span></li>
<li><span style="font-family: Symbol; text-indent: -0.25in;">·<span style="font-family: 'Times New Roman'; font-size: 7pt;">
</span></span><span style="text-indent: -0.25in;">Representations – Being able to use symbols,
manipulative, charts, diagrams and other materials as tools to express
mathematical ideas and relationships.</span></li>
</ul>
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhY1CM3jhyoM5xfPuUUqrFSXfQqDjp5DP1Y7OFado3XVXxWXyMcs8zng1TLZYUM58ujRN2LiPPQDS67PtY-0E9sDBwmzWS-GE6ZUKYqhY90yZkJWCh8dhp5JRkAVaTsbmleASjrI2PX1R0/s1600/what-is-mathematics.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="320" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhY1CM3jhyoM5xfPuUUqrFSXfQqDjp5DP1Y7OFado3XVXxWXyMcs8zng1TLZYUM58ujRN2LiPPQDS67PtY-0E9sDBwmzWS-GE6ZUKYqhY90yZkJWCh8dhp5JRkAVaTsbmleASjrI2PX1R0/s320/what-is-mathematics.png" width="315" /></a></div>
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Mathematics is more than solving
problems or completing sets of exercises. Doing mathematics is to generate
strategies to problem solve, applying different approaches that leads to
solutions and to see if they make sense to prove your answers. <o:p></o:p></div>
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Come on! Let's do Math!</div>
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Naquiahhttp://www.blogger.com/profile/07727059843776406777noreply@blogger.com0