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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.
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.
Singapore Ministry of Education 1992, 2001, 2007, 2013
Problem
Arrange the ten cards so
that you can do what is
shown to you.
Method 1 – by drawing
Method 2 – by using the cards
Scarsdale Teachers’ Institute, New York
Some participants tried
to solve the Dutch-
version of the problem.
Teaching Whole Numbers
Conceptually S INDA Marc h 2012
Addition
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.
543 + 274 =
543 + 274 =
543 + 274 =
543 + 274 =
543 + 274 =
543 + 274 =
Teaching Whole Numbers
Conceptually S INDA Marc h 2012
Division
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Teaching Whole Numbers
Conceptually S INDA Marc h 2012
Multiplication
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)
Visuals are used to teach
concepts – distributive
property of multiplication
– without using formal
terms.
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Primary Mathematics (Third Edition)
Teaching Whole Numbers
Conceptually S INDA Marc h 2012
Word Problem
$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 =