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Teaching Whole Numbers Conceptually SINDA March 2012 yeap ban har marshall cavendish institute This is part of a 12-hour course on teaching whole numbers.
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Page 1: SINDA Teaching Whole Numbers Conceptually

Teaching Whole Numbers

Conceptually S INDA Marc h 2012

yeap ban har marshall cavendish institute

This is part of a 12-hour course on

teaching whole numbers.

Page 2: SINDA Teaching Whole Numbers Conceptually

Teaching Whole Numbers

Conceptually S INDA Marc h 2012

yeap ban har marshall cavendish institute

Part 1 of the session emphasize the

importance of metacognition, looking for

patterns, visualization and number sense.

Part 2 looks at selected operations and a

challenging problems that includes whole

number operations.

Page 3: SINDA Teaching Whole Numbers Conceptually

Singapore Ministry of Education 1992, 2001, 2007, 2013

Page 4: SINDA Teaching Whole Numbers Conceptually
Page 5: SINDA Teaching Whole Numbers Conceptually

Problem

Arrange the ten cards so

that you can do what is

shown to you.

Page 6: SINDA Teaching Whole Numbers Conceptually

Method 1 – by drawing

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Method 2 – by using the cards

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Scarsdale Teachers’ Institute, New York

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Some participants tried

to solve the Dutch-

version of the problem.

Page 10: SINDA Teaching Whole Numbers Conceptually
Page 11: SINDA Teaching Whole Numbers Conceptually

Teaching Whole Numbers

Conceptually S INDA Marc h 2012

Addition

Page 12: SINDA Teaching Whole Numbers Conceptually
Page 13: SINDA Teaching Whole Numbers Conceptually
Page 14: SINDA Teaching Whole Numbers Conceptually

Tom has 9 sweets.

Jerry has 5 sweets more than Tom.

How many sweets does Jerry have?

9

5

Tom

Jerry

9 + 5 = 14

Jerry has 14 sweets.

Page 15: SINDA Teaching Whole Numbers Conceptually

543 + 274 =

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543 + 274 =

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543 + 274 =

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543 + 274 =

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543 + 274 =

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543 + 274 =

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Teaching Whole Numbers

Conceptually S INDA Marc h 2012

Division

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Teaching Whole Numbers

Conceptually S INDA Marc h 2012

Multiplication

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Math in Focus

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Math in Focus

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Math in Focus

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Math in Focus

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Math in Focus

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Math in Focus

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Math in Focus

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Math in Focus

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Math in Focus

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Math in Focus

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Math in Focus

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Da Qiao Primary School, Singapore

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See Ho, S. Y. & Yeap, B. H. (2011). Development of Visualization Skills in Singapore Primary

School Mathematics Textbooks. Paper presented at PME-35 Angkara, Turkey.

See also Yeap, B. H. (2011). The Emphasis of Primary-Level Textbooks in Singapore on

Higher-Order Thinking Skills. Paper presented at International Conference on School

Mathematics Textbooks Shanghai, China.

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Primary Mathematics (Third Edition)

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Visuals are used to teach

concepts – distributive

property of multiplication

– without using formal

terms.

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Primary Mathematics (Third Edition)

Page 43: SINDA Teaching Whole Numbers Conceptually

Teaching Whole Numbers

Conceptually S INDA Marc h 2012

Word Problem

Page 44: SINDA Teaching Whole Numbers Conceptually

$837 - $648 = $189

$189 x 3 = $570 - $3 = $567

$837 - $567 = $837 - $537 - $30 = $270

$270 3 = $90

$90 x 4 = $360

$837 - $270 - $360 =