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# SINDA Teaching Whole Numbers Conceptually

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### SINDA Teaching Whole Numbers Conceptually

1. 1. Teaching Whole NumbersConceptuallyS I N DA  M a r c h 2 0 1 2yeap ban har  marshall cavendish institute This is part of a 12-hour course on teaching whole numbers.
2. 2. Teaching Whole NumbersConceptuallyS I N DA  M a r c h 2 0 1 2yeap 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.
3. 3. Singapore Ministry of Education 1992, 2001, 2007, 2013
4. 4. ProblemArrange the ten cards sothat you can do what isshown to you.
5. 5. Method 1 – by drawing
6. 6. Method 2 – by using the cards
7. 7. Scarsdale Teachers’ Institute, New York
8. 8. Some participants triedto solve the Dutch-version of the problem.
9. 9. Teaching Whole NumbersConceptuallyS I N DA  M a r c h 2 0 1 2 Addition
10. 10. 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.
11. 11. 543 + 274 = 
12. 12. 543 + 274 = 
13. 13. 543 + 274 = 
14. 14. 543 + 274 = 
15. 15. 543 + 274 = 
16. 16. 543 + 274 = 
17. 17. Teaching Whole NumbersConceptuallyS I N DA  M a r c h 2 0 1 2 Division
18. 18. ExperiencingSingapore Math
19. 19. ExperiencingSingapore Math
20. 20. ExperiencingSingapore Math
21. 21. ExperiencingSingapore Math
22. 22. Teaching Whole NumbersConceptuallyS I N DA  M a r c h 2 0 1 2 Multiplication
23. 23. Math in Focus Experiencing Singapore Math
24. 24. ExperiencingMath in Focus Singapore Math
25. 25. Math in Focus Experiencing Singapore Math
26. 26. ExperiencingMath in Focus Singapore Math
27. 27. Math in Focus Experiencing Singapore Math
28. 28. Experiencing Singapore MathMath in Focus
29. 29. Math in Focus Experiencing Singapore Math
30. 30. Math in Focus Experiencing Singapore Math
31. 31. Math in Focus Experiencing Singapore Math
32. 32. Math in Focus Experiencing Singapore Math
33. 33. Math in Focus Experiencing Singapore Math
34. 34. Experiencing Singapore MathDa Qiao Primary School, Singapore
35. 35. Experiencing Singapore Math Primary Mathematics (Third Edition)See Ho, S. Y. & Yeap, B. H. (2011). Development of Visualization Skills in Singapore PrimarySchool Mathematics Textbooks. Paper presented at PME-35 Angkara, Turkey.See also Yeap, B. H. (2011). The Emphasis of Primary-Level Textbooks in Singapore onHigher-Order Thinking Skills. Paper presented at International Conference on SchoolMathematics Textbooks Shanghai, China.
36. 36. Experiencing Singapore MathVisuals are used to teachconcepts – distributiveproperty of multiplication– without using formalterms. Primary Mathematics (Third Edition)
37. 37. Teaching Whole NumbersConceptuallyS I N DA  M a r c h 2 0 1 2 Word Problem
38. 38. \$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 = 