Teaching kindergarten Mathematics Yeap Ban Har National Institute of Education Nanyang Technological University Singapore ...
Photo: PCF Telok Blangah Kindergarten
o v e r v i e w <ul><li>Big Ideas in Early Mathematics </li></ul><ul><ul><li>Number Bonds & Basic Facts </li></ul></ul><ul...
edu cation Bina Bangsa School, Bandung, Indonesia mathematics Ministry of Education Singapore  2006 an excellent vehicle f...
big ideas in early mathematics in kindergartens through grade one PART 2 Photo: PCF Telok Blangah Kindergarten
Number Bonds  is emphasized prior to the learning of addition. Children are given, say, 5  unifix  cubes and guided to see...
Photo: PCF Telok Blangah Kindergarten
One duck is big.  Six ducklings are small. Photo: PCF Telok Blangah Kindergarten
Photo: PCF Telok Blangah Kindergarten
Photo: PCF Telok Blangah Kindergarten
Photo: PCF Telok Blangah Kindergarten
Photo: PCF Telok Blangah Kindergarten
Number Bonds  continues to receive attention in Grade 1.
Addition Facts  are given emphasis in the first six months of grade one. The children learn it in stages as the textbooks ...
A ddi t i o n  F a ct s &  Num b e r  S e n se
Photo: PCF Tanjong Pagar Kindergarten While Count On and Count All are used in Numbers to 10, Make Ten is given emphasis i...
Photo: PCF Tanjong Pagar Kindergarten A ddi t i o n  F a ct s  &  Num b e r  S e n se
Photo: PCF Pasir Ris West Kindergarten C oun t i ng  a s a B as i c
Photo: PCF Pasir Ris West Kindergarten
Photo: PCF Pasir Ris West Kindergarten
Photo: PCF Pasir Ris West Kindergarten
Photo: PCF Pasir Ris West Kindergarten
Photo: PCF Pasir Ris West Kindergarten
Photo: PCF Pasir Ris West Kindergarten
Looking for Patterns  is introduced through exploration with Shapes. Subsequently, this is done using numbers – in a more ...
Articulating one’s thoughts  orally, at first, and in written forms using words, pictures, diagrams and symbols is importa...
Keys Grade School Manila The Philippines
C onne c t i o n s   Princess Elizabeth Primary School
Visualization  is, among other things, the ability to manipulate visual images without the benefit of concrete objects. V ...
In the learning of Numbers to 10, children use square tiles to form patterns of 3 and patterns of 4, for instance. Illustr...
mathz4kidz Learning Centre, Penang, Malaysia concrete using materials
SEED Institute, Singapore in using concrete materials  training teacher
in using concrete materials  teacher training and pictorial representations   National Institute of Education, Singapore
proficie ncy A Public School in Changchun, China mathemati cal conceptual Kilpatrick et al  2001 understanding procedural ...
learning theories in developing lessons for kindergartens PART 2 Photo: PCF Telok Blangah Kindergarten
bruner’s theory concrete mathz4kidz Learning Centre, Penang, Malaysia
concrete experiences mathz4kidz Learning Centre, Penang, Malaysia
pictorial concrete to from mathz4kidz Learning Centre, Penang, Malaysia
abstract pictorial to from All Kids Are Intelligent Series
symbols mathz4kidz Learning Centre, Penang, Malaysia
Photo: PCF Tanjong Pagar Kindergarten
Photo: PCF Tanjong Pagar Kindergarten
variation theory of diene’s A  Singapore Textbook for Kindergarten
variation theory of diene’s Earlybird Kindergarten Mathematics
variation theory of diene’s Earlybird Kindergarten Mathematics
variation theory of diene’s Earlybird Kindergarten Mathematics
Earlybird Kindergarten Mathematics
Earlybird Kindergarten Mathematics curriculum spiral
social learning theory of vygotsky’s Photo: PCF Tanjong Pagar Kindergarten
Photo: Keys Grade School Manila The Philippines
learning inter-displinary Photo: Keys Grade School Manila
Photo: Keys Grade School Manila learning inter-displinary
Photo: Keys Grade School Manila
Photo: Keys Grade School Manila
Photo: Keys Grade School Manila
Photo: Keys Grade School Manila
Photo: Keys Grade School Manila
Photo: Keys Grade School Manila
Photo: Keys Grade School Manila
Photo: Keys Grade School Manila
as a form of education investment
Educa tion Edgewood Elementary School, New York, USA …  over 80% of the fastest-growing jobs require a knowledge base in  ...
Wellington Primary School, Singapore everyone can do it parents and teachers need to  know how
TIMSS 2007 Catholic High School (Primary), Singapore Advanced Intermediate Low High 24 41 40 66 74 81 92 92 97 99 98 100 G...
PCF Telok Blangah Kindergarten, Singapore trends globalization &
Elementary School in Changchun, China global citizens future
Singapore St Anthony Canosian School, Singapore from
The Philippines Keys Grade School, The Philippines an emphasis on mathematics education will ensure that we have an increa...
National Institute of Education, Singapore knowledge of facts from
big ideas A Public School in Khon Kaen, Thailand mathematical Shulman  1986 to explain why a particular proposition is dee...
intelligent  behaviours Kuo Chuan Presbyterian Primary School, Singapore computation beyond
A Public School in Palembang, Indonesia attitude commu nication thinking
[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 Sc...
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Teaching Kindergarten Mathematics 10th Creating a World-Class Education Conference Manila, The Philippines

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

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

  1. 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. 2. Photo: PCF Telok Blangah Kindergarten
  3. 3. o v e r v i e w <ul><li>Big Ideas in Early Mathematics </li></ul><ul><ul><li>Number Bonds & Basic Facts </li></ul></ul><ul><ul><li>Visualization </li></ul></ul><ul><ul><li>Connections </li></ul></ul><ul><ul><li>Communication </li></ul></ul><ul><li>Key Learning Theories </li></ul>Photo: PCF Telok Blangah Kindergarten
  4. 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. 5. big ideas in early mathematics in kindergartens through grade one PART 2 Photo: PCF Telok Blangah Kindergarten
  6. 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. 7. Photo: PCF Telok Blangah Kindergarten
  8. 8. One duck is big. Six ducklings are small. Photo: PCF Telok Blangah Kindergarten
  9. 9. Photo: PCF Telok Blangah Kindergarten
  10. 10. Photo: PCF Telok Blangah Kindergarten
  11. 11. Photo: PCF Telok Blangah Kindergarten
  12. 12. Photo: PCF Telok Blangah Kindergarten
  13. 13. Number Bonds continues to receive attention in Grade 1.
  14. 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. 15. A ddi t i o n F a ct s & Num b e r S e n se
  16. 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. 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. 18. Photo: PCF Pasir Ris West Kindergarten C oun t i ng a s a B as i c
  19. 19. Photo: PCF Pasir Ris West Kindergarten
  20. 20. Photo: PCF Pasir Ris West Kindergarten
  21. 21. Photo: PCF Pasir Ris West Kindergarten
  22. 22. Photo: PCF Pasir Ris West Kindergarten
  23. 23. Photo: PCF Pasir Ris West Kindergarten
  24. 24. Photo: PCF Pasir Ris West Kindergarten
  25. 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. 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. 27. Keys Grade School Manila The Philippines
  28. 28. C onne c t i o n s Princess Elizabeth Primary School
  29. 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. 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. 31. mathz4kidz Learning Centre, Penang, Malaysia concrete using materials
  32. 32. SEED Institute, Singapore in using concrete materials training teacher
  33. 33. in using concrete materials teacher training and pictorial representations National Institute of Education, Singapore
  34. 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. 35. learning theories in developing lessons for kindergartens PART 2 Photo: PCF Telok Blangah Kindergarten
  36. 36. bruner’s theory concrete mathz4kidz Learning Centre, Penang, Malaysia
  37. 37. concrete experiences mathz4kidz Learning Centre, Penang, Malaysia
  38. 38. pictorial concrete to from mathz4kidz Learning Centre, Penang, Malaysia
  39. 39. abstract pictorial to from All Kids Are Intelligent Series
  40. 40. symbols mathz4kidz Learning Centre, Penang, Malaysia
  41. 41. Photo: PCF Tanjong Pagar Kindergarten
  42. 42. Photo: PCF Tanjong Pagar Kindergarten
  43. 43. variation theory of diene’s A Singapore Textbook for Kindergarten
  44. 44. variation theory of diene’s Earlybird Kindergarten Mathematics
  45. 45. variation theory of diene’s Earlybird Kindergarten Mathematics
  46. 46. variation theory of diene’s Earlybird Kindergarten Mathematics
  47. 47. Earlybird Kindergarten Mathematics
  48. 48. Earlybird Kindergarten Mathematics curriculum spiral
  49. 49. social learning theory of vygotsky’s Photo: PCF Tanjong Pagar Kindergarten
  50. 50. Photo: Keys Grade School Manila The Philippines
  51. 51. learning inter-displinary Photo: Keys Grade School Manila
  52. 52. Photo: Keys Grade School Manila learning inter-displinary
  53. 53. Photo: Keys Grade School Manila
  54. 54. Photo: Keys Grade School Manila
  55. 55. Photo: Keys Grade School Manila
  56. 56. Photo: Keys Grade School Manila
  57. 57. Photo: Keys Grade School Manila
  58. 58. Photo: Keys Grade School Manila
  59. 59. Photo: Keys Grade School Manila
  60. 60. Photo: Keys Grade School Manila
  61. 61. as a form of education investment
  62. 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. 63. Wellington Primary School, Singapore everyone can do it parents and teachers need to know how
  64. 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. 65. PCF Telok Blangah Kindergarten, Singapore trends globalization &
  66. 66. Elementary School in Changchun, China global citizens future
  67. 67. Singapore St Anthony Canosian School, Singapore from
  68. 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. 69. National Institute of Education, Singapore knowledge of facts from
  70. 70. big ideas A Public School in Khon Kaen, Thailand mathematical Shulman 1986 to explain why a particular proposition is deemed warranted “ ” to
  71. 71. intelligent behaviours Kuo Chuan Presbyterian Primary School, Singapore computation beyond
  72. 72. A Public School in Palembang, Indonesia attitude commu nication thinking
  73. 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

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