Teaching Kindergarten Mathematics 10th Creating a World-Class Education Conference Manila, The Philippines 5-6 November 2009

1. Teaching kindergarten Mathematics Yeap Ban Har National Institute of Education Nanyang Technological University Singapore [email_address] Slides are available on www.mathz4kidz.com

2. Photo: PCF Telok Blangah Kindergarten

4. edu cation Bina Bangsa School, Bandung, Indonesia mathematics Ministry of Education Singapore 2006 an excellent vehicle for the development and improvement of a person’s intellectual competence “ ”

5. big ideas in early mathematics in kindergartens through grade one PART 2 Photo: PCF Telok Blangah Kindergarten

6. Number Bonds is emphasized prior to the learning of addition. Children are given, say, 5 unifix cubes and guided to see that 1 and 4 make 5, for example. Others may say that 3 and 2 make 5 or 4 and 1 make 5. Yet others may say that 5 and 0 make 5. Kindergarten Textbook N um b e r B o n ds

7. Photo: PCF Telok Blangah Kindergarten

8. One duck is big. Six ducklings are small. Photo: PCF Telok Blangah Kindergarten

9. Photo: PCF Telok Blangah Kindergarten

10. Photo: PCF Telok Blangah Kindergarten

11. Photo: PCF Telok Blangah Kindergarten

12. Photo: PCF Telok Blangah Kindergarten

13. Number Bonds continues to receive attention in Grade 1.

14. Addition Facts are given emphasis in the first six months of grade one. The children learn it in stages as the textbooks distinguished between Numbers to 10 and Numbers to 20. Count On and Count All are used in Numbers to 10. A ddi t i o n F a ct s

15. A ddi t i o n F a ct s & Num b e r S e n se

16. Photo: PCF Tanjong Pagar Kindergarten While Count On and Count All are used in Numbers to 10, Make Ten is given emphasis in Numbers to 20. A ddi t i o n F a ct s & Num b e r S e n se

17. Photo: PCF Tanjong Pagar Kindergarten A ddi t i o n F a ct s & Num b e r S e n se

18. Photo: PCF Pasir Ris West Kindergarten C oun t i ng a s a B as i c

19. Photo: PCF Pasir Ris West Kindergarten

20. Photo: PCF Pasir Ris West Kindergarten

21. Photo: PCF Pasir Ris West Kindergarten

22. Photo: PCF Pasir Ris West Kindergarten

23. Photo: PCF Pasir Ris West Kindergarten

24. Photo: PCF Pasir Ris West Kindergarten

25. Looking for Patterns is introduced through exploration with Shapes. Subsequently, this is done using numbers – in a more abstract context. C onne c t i o n s Princess Elizabeth Primary School M ak e C onne c t i o n s t o Ge n e r a l i z e

26. Articulating one’s thoughts orally, at first, and in written forms using words, pictures, diagrams and symbols is important. C ommu n i c a t i o n Maris Stella High (Primary) School

27. Keys Grade School Manila The Philippines

28. C onne c t i o n s Princess Elizabeth Primary School

29. Visualization is, among other things, the ability to manipulate visual images without the benefit of concrete objects. V isua l i z a t i o n Photo: mathz4kidz Learning Centre Penang Malaysia Photo: Catholic High School (Primary)

30. In the learning of Numbers to 10, children use square tiles to form patterns of 3 and patterns of 4, for instance. Illustrations in textbooks were also carefully varied to develop this competency. V isua l i z a t i o n

31. mathz4kidz Learning Centre, Penang, Malaysia concrete using materials

32. SEED Institute, Singapore in using concrete materials training teacher

33. in using concrete materials teacher training and pictorial representations National Institute of Education, Singapore

34. proficie ncy A Public School in Changchun, China mathemati cal conceptual Kilpatrick et al 2001 understanding procedural fluency strategic competence adaptive reasoning disposition productive

35. learning theories in developing lessons for kindergartens PART 2 Photo: PCF Telok Blangah Kindergarten

36. bruner’s theory concrete mathz4kidz Learning Centre, Penang, Malaysia

37. concrete experiences mathz4kidz Learning Centre, Penang, Malaysia

38. pictorial concrete to from mathz4kidz Learning Centre, Penang, Malaysia

39. abstract pictorial to from All Kids Are Intelligent Series

40. symbols mathz4kidz Learning Centre, Penang, Malaysia

41. Photo: PCF Tanjong Pagar Kindergarten

42. Photo: PCF Tanjong Pagar Kindergarten

43. variation theory of diene’s A Singapore Textbook for Kindergarten

44. variation theory of diene’s Earlybird Kindergarten Mathematics

45. variation theory of diene’s Earlybird Kindergarten Mathematics

46. variation theory of diene’s Earlybird Kindergarten Mathematics

47. Earlybird Kindergarten Mathematics

48. Earlybird Kindergarten Mathematics curriculum spiral

49. social learning theory of vygotsky’s Photo: PCF Tanjong Pagar Kindergarten

50. Photo: Keys Grade School Manila The Philippines

51. learning inter-displinary Photo: Keys Grade School Manila

52. Photo: Keys Grade School Manila learning inter-displinary

53. Photo: Keys Grade School Manila

54. Photo: Keys Grade School Manila

55. Photo: Keys Grade School Manila

56. Photo: Keys Grade School Manila

57. Photo: Keys Grade School Manila

58. Photo: Keys Grade School Manila

59. Photo: Keys Grade School Manila

60. Photo: Keys Grade School Manila

61. as a form of education investment

62. Educa tion Edgewood Elementary School, New York, USA … over 80% of the fastest-growing jobs require a knowledge base in mathematics and science … Obama 2007

63. Wellington Primary School, Singapore everyone can do it parents and teachers need to know how

64. TIMSS 2007 Catholic High School (Primary), Singapore Advanced Intermediate Low High 24 41 40 66 74 81 92 92 97 99 98 100 Grade 4

65. PCF Telok Blangah Kindergarten, Singapore trends globalization &

66. Elementary School in Changchun, China global citizens future

67. Singapore St Anthony Canosian School, Singapore from

68. The Philippines Keys Grade School, The Philippines an emphasis on mathematics education will ensure that we have an increasingly competitive workforce to meet the challenges of the 21 st century Ministry of Education Singapore 2001 “ ” to

69. National Institute of Education, Singapore knowledge of facts from

70. big ideas A Public School in Khon Kaen, Thailand mathematical Shulman 1986 to explain why a particular proposition is deemed warranted “ ” to

71. intelligent behaviours Kuo Chuan Presbyterian Primary School, Singapore computation beyond

72. A Public School in Palembang, Indonesia attitude commu nication thinking

73. [email_address] “ C hild r e n a r e t rul y t h e futu r e o f o u r nati o n . “ Irving Harris Bina Bangsa School, Indonesia