Highline Session 2
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The document discusses Singapore Math, which focuses on developing conceptual understanding using a concrete-pictorial-abstract approach. It emphasizes problem solving, the spiral curriculum where topics are revisited at increasing levels of difficulty, and three-part lesson structures involving exploration, concept introduction, and guided practice. International test data shows Singapore students performing highly in mathematics compared to other countries.
Highline Session 2
- 1. Singapore Math at Highline Public Schools March 2013 Session 2 at ERAC Yeap Ban Har www.banhar.blogspot.com The Merlion by Yeap Ken Min
- 2. Land 270 sq miles 700 sq km People 5.3 million GDP per capita 1965 USD500 2011 USD50 000 Junyuan Secondary School, Singapore in current USD
- 3. What is Singapore Math? Thinking and Problem Solving Nanyang Primary School, Singapore
- 4. thinkingschools learningnation Mathematics is “an excellent vehicle for the development and improvement of a person’s intellectual competence”. Ministry of Education, Singapore (2006)
- 5. Ministry of Education, Singapore (1991, 2000, 2006, 2012)
- 8. Singapore Math The CPA Approach, The Spiral Approach and Emphasis on Relational Understanding Globe Academy, London
- 9. Singapore Math The CPA Approach
- 10. Singapore Math The CPA Approach 2 1 6 3
- 11. Singapore Math The CPA Approach 1 2 1 2 3 3 1 2 1 1 2 3 1 3
- 13. Seely Place Elementary School, New York
- 14. Seely Place Elementary School, New York
- 15. 3 4 4 5 Seely Place Elementary School, New York
- 16. Seely Place Elementary School, New York 3 4 4 5
- 17. Seely Place Elementary School, New York 3 4 3 1 = 4 5 1 5 1 = 3 5
- 18. Seely Place Elementary School, New York 1 3 4 3 1 = 14 5 1 5
- 19. Singapore Math Three-Part Lesson Structure Extended Engagement with One Task Teach Less, Learn More w w w. b a n h a r. b l o g s p o t . c o m
- 20. Singapore Math Three-Part Lesson Structure
- 21. Singapore Math Three-Part Lesson Structure
- 22. Singapore Math Three-Part Lesson Structure
- 23. Singapore Math Three-Part Lesson Structure
- 24. Singapore Math Three-Part Lesson Structure
- 25. Singapore Math Three-Part Lesson Structure
- 26. Singapore Math Three-Part Lesson Structure
- 27. Singapore Math Three-Part Lesson Structure: Guided Practice
- 28. Singapore Math Three-Part Lesson Structure
- 29. Singapore Math The Spiral Approach
- 30. Singapore Math The Spiral Approach
- 31. Singapore Math Anchor Task Guided Practice Independent Practice
- 34. J Bruner Enactive, Iconic, Symbolic Representations Edgewood Elementary School, New York
- 35. Box B contains twice as many books as Box A. Box C contains 20 more books than Box A. Together, the three boxes contains 116 books. Edgewood Elementary School, New York
- 36. x + 2x + x + 20 = 116 4x = 116 – 20 = 96 x = 96 4 = … B x x A x 116 C x 20 Edgewood Elementary School, New York
- 37. 3 A number is of a second number. 5 The sum of the two numbers is 120. King Solomon Academy, London
- 38. J Bruner Spiral Curriculum Greenville Elementary School, New York
- 39. Seely Place Elementary School, New York
- 40. Greenville Elementary School, New York The CPA Approach CPA Students were asked to make three nests of 2 eggs and, later, 3 nests of 7 eggs. They were only given 20 ‘eggs’.
- 41. CPA Approach in Developing Conventional Language 3 nests 3 nests of 2 eggs 3 groups of 2 3 twos Greenville Elementary School, New York
- 42. Escuela de Guetamala, Chile 6 6 6 6
- 45. Z Dienes Play Structured Learning Practice Bina Bangsa School, Indonesia
- 46. x x x+1 x x x x+2 x–1 x x–2 Jenaplanschool Cleoplas, The Netherlands
- 47. L Vygotsky Interaction Pathlight School, Singapore Bina Bangsa School, Indonesia
- 48. R Skemp Relational and Instrumental Understanding Globe Academy, London
- 49. Using bar model to introduce solving algebraic equations Solve 7 – 3y = 1 . 7 3y 1
- 50. Using bar model to introduce solving algebraic equations Solve 7 – 3y = 1 . 7 3y 1
- 51. J Piager Assimilation, Accommodation Keys Grade School, Manila
- 52. H Gardner Multiple Intelligences Keys Grade School, Manila
- 53. Observing patterns and making generalizations involves reflection. Seely Place Elementary School, New York
- 54. Student Achievement Average Learners Performing Well Pathlight School, Singapore
- 55. Singapore Math allows average learners perform at a high level. The following are some data from some international research on math achievement and attitude. East Coast Primary School, Singapore
- 56. All major international tests (literacy, science and mathematics) between 1964 and 2003 were placed on a common scale. Selected countries shown in the table. Score 1960-1970s 1980s 1990s 2000s 500 Japan Hong Kong Hong Kong Hong Kong Japan Japan Japan Korea Korea Korea Singapore Singapore 400 Thailand The Philippines Malaysia Malaysia Singapore Thailand Thailand Thailand 300 Indonesia Indonesia The Philippines The Philippines Reference: E. Hanusek, D. Jamison, E. Jamison & L. Woessmann (2008)
- 57. mathematics
- 58. intermediate advanced high low average Singapore 606 43 78 94 99 South Korea 605 39 80 97 100 grade four mathematics Hong Kong 602 37 80 96 99 Taiwan 591 34 74 93 99 Japan 585 30 70 93 99 Northern Ireland 562 24 59 86 96 Belgium 549 10 50 89 99 Finland 545 12 49 85 98 England 542 18 49 78 93 Russia 542 13 47 82 97 International 500 4 28 69 90
- 59. intermediate advanced high low average South Korea 613 47 77 93 99 Singapore 611 48 78 92 99 grade eight mathematics Taiwan 609 49 73 88 96 Hong Kong 586 34 71 89 97 Japan 570 27 61 87 97 Russia 539 14 47 78 95 Israel 516 12 40 68 87 Finland 514 4 30 73 96 United States 509 7 30 68 92 England 507 8 32 65 88 International 500 3 17 46 75
- 60. intermediate grade eight mathematics advanced average high low Singapore 611 48 78 92 99 Malaysia 440 2 12 36 65 Thailand 427 2 8 26 55 Indonesia 386 0 2 15 43 International 500 3 17 46 75
- 61. grade eight mathematics dislike math advanced like math average Singapore 611 48 32 23 Malaysia 440 2 39 15 Thailand 427 2 26 16 Indonesia 386 0 20 10 International 500 3 26 31
- 62. grade eight mathematics dislike math advanced like math average Singapore 611 48 32 23 South Korea 613 47 8 56 Taiwan 609 49 14 53 Hong Kong 586 34 19 37 Japan 570 27 9 53 International 500 3 26 31
- 63. perentage correct Singapore 52 International 27
- 64. perentage correct Singapore 45 International 23
- 65. Singapore Math at Highline Public Schools March 2013 Yeap Ban Har yeapbanhar@gmail.com The Merlion by Yeap Ken Min