SINDA Teaching Whole Numbers Conceptually

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  • 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. 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. Singapore Ministry of Education 1992, 2001, 2007, 2013
  • 4. ProblemArrange the ten cards sothat you can do what isshown to you.
  • 5. Method 1 – by drawing
  • 6. Method 2 – by using the cards
  • 7. Scarsdale Teachers’ Institute, New York
  • 8. Some participants triedto solve the Dutch-version of the problem.
  • 9. Teaching Whole NumbersConceptuallyS I N DA  M a r c h 2 0 1 2 Addition
  • 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. 543 + 274 = 
  • 12. 543 + 274 = 
  • 13. 543 + 274 = 
  • 14. 543 + 274 = 
  • 15. 543 + 274 = 
  • 16. 543 + 274 = 
  • 17. Teaching Whole NumbersConceptuallyS I N DA  M a r c h 2 0 1 2 Division
  • 18. ExperiencingSingapore Math
  • 19. ExperiencingSingapore Math
  • 20. ExperiencingSingapore Math
  • 21. ExperiencingSingapore Math
  • 22. Teaching Whole NumbersConceptuallyS I N DA  M a r c h 2 0 1 2 Multiplication
  • 23. Math in Focus Experiencing Singapore Math
  • 24. ExperiencingMath in Focus Singapore Math
  • 25. Math in Focus Experiencing Singapore Math
  • 26. ExperiencingMath in Focus Singapore Math
  • 27. Math in Focus Experiencing Singapore Math
  • 28. Experiencing Singapore MathMath in Focus
  • 29. Math in Focus Experiencing Singapore Math
  • 30. Math in Focus Experiencing Singapore Math
  • 31. Math in Focus Experiencing Singapore Math
  • 32. Math in Focus Experiencing Singapore Math
  • 33. Math in Focus Experiencing Singapore Math
  • 34. Experiencing Singapore MathDa Qiao Primary School, Singapore
  • 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. Experiencing Singapore MathVisuals are used to teachconcepts – distributiveproperty of multiplication– without using formalterms. Primary Mathematics (Third Edition)
  • 37. Teaching Whole NumbersConceptuallyS I N DA  M a r c h 2 0 1 2 Word Problem
  • 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 = 