Singapore Math at Edgemont School District New York
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This is the one-day seminar for teachers from the school district.
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Singapore Math at Edgemont School District New York
- 1. Edgemont Union Free School District Superintendent’s Professional Development Day January 2013
- 2. MAP101 Fundamentals of Singapore Math Edgemont Union Free School District Yeap Ban Har Marshall Cavendish Institute Singapore yeapbanhar@gmail.com Slides are available at www.banhar.blogspot.com
- 3. Page 1
- 4. Mathematics is “an excellent vehicle for the development and improvement of a person’s intellectual competence”. 1982 Ministry of Education Singapore 2006 Introduction of Singapore mathematics textbooks as they are known today. 2001 Introduction of textbooks published by 1992 private publishers and approved by Introduction of Problem- Ministry of Education. Solving Curriculum 2007 New editions of textbooks are 1997 published with the introduction of the Thinking Schools revised curriculum. Learning Nation 2013 New editions of textbooks are published with the revision of the curriculum. Page 1
- 5. Page 4
- 7. Singapore Math allows average learners perform at a high level. The following are some data from some international research on math achievement and attitude.
- 8. 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)
- 9. mathematics
- 10. ave adv high int low Singapore 606 43 78 94 99 South Korea 605 39 80 97 100 Hong Kong 602 37 80 96 99 grade four mathematics 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 United States 541 13 47 81 96 International 500 4 28 69 90
- 11. 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
- 12. Let’s solve a typical word problem from the Singapore Page 2 classroom.
- 13. 110 g 290 g Page 2
- 14. 2 units = 290 g – 110 g = 180 g 1 units = 180 g 2 = 90 g 110 g 3 x 90 g = 270 g Bella puts 270 g sugar on the dish. ? ?
- 15. Experiencing Singapore Math Professional Development in London, UK
- 17. the same dish 110 g 290 g Page 2
- 18. Not necessary to find the mass that Bella puts on the dish Professional Development in St. Louis, USA Page 2
- 19. The brown sugar problem demonstrates the importance of visualization.
- 20. Page 5
- 21. Share 3 fourths equally among 3. 3 fourths 3 = 1 fourth
- 22. Share 3 fourths equally between 2. 3 fourths 2 = 6 eighths 2 Share 3 fourths equally among 4. = 3 eighths 3 fourths 4 = 12 sixteenths 4 = 3 sixteenths
- 24. 3 fourths 4 = 12 sixteenths 4 1 3 3 fourths 4 = ×4 4 = 3 sixteenths
- 26. Summary of Session 1 Problem solving and thinking as well as holistic development of the child are the twin key features of Singapore Math. CPA Approach is used to achieve the development of visualization and provides an impetus for making generalization.
- 27. Escuela de Guetamala, Chile
- 29. x + 2x = 12
- 30. Seely Place Elementary School, New York
- 31. Observing patterns and making generalizations involves reflection. Seely Place Elementary School, New York
- 32. 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’.
- 33. CPA Approach in Developing Conventional Language 3 nests 3 nests of 2 eggs 3 groups of 2 3 twos Greenville Elementary School, New York
- 34. Using bar model to introduce solving algebraic equations Solve 7 – 3y = 1 . 7 3y 1
- 35. Seely Place Elementary School, New York
- 36. Seely Place Elementary School, New York
- 37. 3 4 4 5 Seely Place Elementary School, New York
- 38. Seely Place Elementary School, New York 3 4 4 5
- 39. Seely Place Elementary School, New York 3 4 3 1 = 4 5 1 5 1 = 3 5
- 40. Seely Place Elementary School, New York 1 3 4 3 1 = 14 5 1 5
- 41. For students who already know a procedure, they should be able to explain the procedure visually. Ideally, the visuals are employed to help students develop both procedural and conceptual understanding at the same time Seely Place Elementary School, New York
- 48. MAP101 Fundamentals of Singapore Math incorporating differentiated instruction Yeap Ban Har Marshall Cavendish Institute Singapore yeapbanhar@gmail.com Slides are available at www.banhar.blogspot.com
- 49. Anchor Task Guided Practice Independent Practice King Solomon Academy, London
- 50. Anchor Task Guided Practice Independent Practice King Solomon Academy, London
- 51. Anchor Task Guided Practice Independent Practice Globe Academy, London
- 52. Anchor Task Guided Practice Independent Practice Globe Academy, London
- 57. Relational Understanding R Skemp what & how Concrete Introduction J Bruner Junyuan Secondary School, Singapore Page 08 Page 13
- 60. 30 3 21 3 51 = 50 + 1 King Solomon Academy, London 51 = 40 + 11 51 = 30 + 21 51 = 20 + 31 51 = 10 + 51
- 61. 60 3 = 20 = 51 3 = Use digit tiles 0 to 9 54 3 = without repeating. 51 3 = 17 50 3 = Write three story problems for 50 3 . Write a note to Marc who is absent today. Explain to him how to figure out 51 3 .
- 65. Singapore Math Drill-and-Practice Through Problem Solving
- 66. Summary of Session 2 How we can provide challenge to advanced learners is discussed in the 51 3. We can also provide challenge to all students, as demonstrated in the x=.
- 67. 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
- 68. 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
- 69. 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