Teaching Whole Numbers

Conceptually
S I N DA  M a r c h 2 0 1 2
yeap ban har  marshall cavendish institute




 This is part of a 12-hour course on
       teaching whole numbers.
Teaching Whole Numbers

Conceptually
S I N DA  M a r c h 2 0 1 2
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 I N DA  M a r c h 2 0 1 2


                   Addition
Tom has 9 sweets.
Jerry has 5 sweets more than Tom.
How many sweets does Jerry have?


      Tom                 9


      Jerry                   5


      9 + 5 = 14

   Jerry has 14 sweets.
543 + 274 = 
543 + 274 = 
543 + 274 = 
543 + 274 = 
543 + 274 = 
543 + 274 = 
Teaching Whole Numbers

Conceptually
S I N DA  M a r c h 2 0 1 2


                    Division
Experiencing
Singapore Math
Experiencing
Singapore Math
Experiencing
Singapore Math
Experiencing
Singapore Math
Teaching Whole Numbers

Conceptually
S I N DA  M a r c h 2 0 1 2


                Multiplication
Math in Focus




                   Experiencing
                Singapore Math
Experiencing
Math in Focus




                Singapore Math
Math in Focus




                   Experiencing
                Singapore Math
Experiencing
Math in Focus




                Singapore Math
Math in Focus




              Experiencing
           Singapore Math
Experiencing
                Singapore Math
Math in Focus
Math in Focus




                   Experiencing
                Singapore Math
Math in Focus




                   Experiencing
                Singapore Math
Math in Focus




                   Experiencing
                Singapore Math
Math in Focus




                   Experiencing
                Singapore Math
Math in Focus




                   Experiencing
                Singapore Math
Experiencing
                                    Singapore Math
Da Qiao Primary School, Singapore
Experiencing
                                                                                               Singapore Math
                                        Primary Mathematics (Third Edition)




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.
Experiencing
                                Singapore Math
Visuals are used to teach
concepts – distributive
property of multiplication
– without using formal
terms.




     Primary Mathematics (Third Edition)
Teaching Whole Numbers

Conceptually
S I N DA  M a r c h 2 0 1 2


                  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 = 

SINDA Teaching Whole Numbers Conceptually