The document summarizes the keynote lecture 2 from the National Conference on Numeracy 2011 in Brunei Darussalam. The lecture discusses developing number sense and what it means, using examples from primary schools in Singapore and Chile. It also includes sample math problems to illustrate number sense concepts.

1. National Conference on Numeracy 2011 NCoN2011 Brunei Darussalam Enhancing Numeracy Strategy in SPN21 Keynote Lecture 2 Developing Number Sense What Does It Mean? YeapBan Har Marshall Cavendish Institute Singapore banhar@sg.marshallcavendish.com Princess Elizabeth Primary School Fuchun Primary School

2. NCoN2011 Brunei Darussalam Vision 2035

3. NCoN2011 Brunei Darussalam SPN21

4. NCoN2011 Brunei Darussalam procedures tedious computation memorization mathematics?

5. NCoN2011 Brunei Darussalam mathematics daily-life applications?

6. NCoN2011 Brunei Darussalam Problem 1: Aisha puts some sugar in a bowl. Her bowl containing the sugar weighs 110g. Basri puts three times the amount of sugar that Aisha puts in an identical bowl. His bowl containing the sugar weighs 290g. Find the amount of sugar that Basri puts in his bowl. 110 g Aisha 290 g Basri 180 g

7. NCoN2011 Brunei Darussalam why do word problems CollegioDagoberto Godoy, Santiago de Chile

8. NCoN2011 Brunei Darussalam why learn multiplication facts Da Qiao Primary School, Singapore

9. NCoN2011 Brunei Darussalam why learn multiplication facts

10. NCoN2011 Brunei Darussalam why learn multiplication facts

11. NCoN2011 Brunei Darussalam Find the value of given that that x + y = 15 and xy= 56.

12. NCoN2011 Brunei Darussalam Find the sum of the marked angles.

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15. NCoN2011 Brunei Darussalam (5 x 180o – 3 x 180o) ÷ 2

16. NCoN2011 Brunei Darussalam visualization

17. NCoN2011 Brunei Darussalam B R U N E I

18. NCoN2011 Brunei Darussalam B R U N E I

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30. NCoN2011 Brunei Darussalam B R U N E I Which letter is counted 99?

31. NCoN2011 Brunei Darussalam B R U N E I 1 2 3 4 5 6 11 10 9 8 7 12 13 14 15 16 21 20 19 18 17 22 23 24 25 26 31 30 29 28 27 32 33 34 35 36

32. NCoN2011 Brunei Darussalam MATHS

33. NCoN2011 Brunei Darussalam 9 1 2 7 x 3 4 8 5 6 0

34. NCoN2011 Brunei Darussalam 9 1 2 7 5 x 3 4 6 0 8

35. NCoN2011 Brunei Darussalam 51 + 12 51 51 – 17 51 ÷ 3 ? ?

36. NCoN2011 Brunei Darussalam 51 + 12 51 50 1

37. NCoN2011 Brunei Darussalam 51 51 – 17 40 11

38. NCoN2011 Brunei Darussalam 51 51 ÷ 3 30 21

39. NCoN2011 Brunei Darussalam 988 – 800 989 – 800 212 100 100 12 0 1 1 1 2 1 2 1 2 3

40. NCoN2011 Brunei Darussalam Problem 7: Each of the three cards shown is printed with a different whole number. The smallest number is 23. When these numbers are added two at a time, the sums are 61, 71 and 86. What is the largest number on the cards? Singapore Examinations and Assessment Board, 2005 23 71 – 23 = 60 + 11 – 20 – 3 71 – 23 = 40 + 8 71 – 23 = 48 86 is the sum of the two largest number while 61 is the sum of the two smallest number. 71 must be the sum of the smallest and middle number.

41. NCoN2011 Brunei Darussalam instructional leadership teachers’ mindset professional development enhancing learning

42. Enhancing Numeracy Strategy in SPN21 Developing Number Sense What Does It Mean? YeapBan Har Marshall Cavendish Institute Singapore Slides are available at www.banhar.blogspot.com T E K R A I S M I A H Woodlands Primary School