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- 1. Differentiated InstructionUsing Singapore Math Yeap Ban Har Marshall Cavendish Institute Singapore yeapbanhar@gmail.com Slides are available at www.banhar.blogspot.com www.facebook.com/MCISingapore
- 2. One Problem, Every Student:Differentiated Instruction Using Singapore Math(Grades 2 – 7)A workshop presented by Dr. Yeap Ban Har, Principal of Marshall Cavendish Institute.Learn to differentiate a task to cater to a mixed-ability class. Find out how SingaporeMath is designed to enable all learners to learn mathematics well. Understand howSingapore Math is designed with adequate scaffold to enable struggling learners tolearn the subject well. At the same time, learn how to extend a task to engageadvanced learners while keeping the lesson accessible to the rest of the class.Room 115-B (Convention Center)
- 3. introduction
- 4. Land 270 sq miles People introduction 4.7 million GDP per capita 1965 USD510 2010 USD43,300 in current USDJunyuan Secondary School,Singapore
- 5. Experiencing Singapore Math 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 Japan Japan Japan Korea Korea Korea Hong Kong Singapore Hong Kong Hong Kong Singapore 400 Thailand Singapore Malaysia Malaysia Thailand Thailand Thailand The Philippines 300 Indonesia Indonesia The Philippines The PhilippinesReference: E. Hanusek, D. Jamison, E. Jamison & L. Woessmann (2008)
- 6. This presentation focuses on one of the main features of singapore math Singapore Math which is based on the philosophy of Teach Less, Learn More and Nurturing Every Child.Junyuan Secondary School,Singapore
- 7. One Problem, Every Student:Differentiated Instruction Using Singapore MathA workshop presented by Dr. Yeap Ban Har, Principal of Marshall Cavendish Institute.Learn to differentiate a task to cater to a mixed-ability class. Find out how SingaporeMath is designed to enable all learners to learn mathematics well.Understand how Singapore Math is designed with adequate scaffold to enablestruggling learners to learn the subject well. At the same time, learn how to extend atask to engage advanced learners while keeping the lesson accessible to the rest of theclass.
- 8. One Problem, Every Student:Differentiated Instruction Using Singapore MathA workshop presented by Dr. Yeap Ban Har, Principal of Marshall Cavendish Institute.Learn to differentiate a task to cater to a mixed-ability class. Find out how SingaporeMath is designed to enable all learners to learn mathematics well. adequate scaffoldUnderstand how Singapore Math is designed withto enable struggling learners to learn thesubject well. At the same time, learn how to extend a task to engageadvanced learners while keeping the lesson accessible to the rest of the class.
- 9. oneproblem
- 10. example
- 11. Addition within 100 Singapore Math is based on the idea of SpiralFind the value of 68 – 6 . Curriculum as explained by Jerome Bruner.Find the value of 85 – 60 . “A curriculum as it develops should revisit this basic ideas repeatedly,Find the value of 65 – 23 . building upon them until the student has grasped the full formal apparatusFind the value of 54 – 9 . that goes with them.”
- 12. Example 1 Grade 1 AdditionFind the value of 42 – 17 .
- 13. Example 1 Grade 1 AdditionFind the value of 42 – 17 .
- 14. Example 1 Grade 1 AdditionFind the value of 42 – 17 .
- 15. Example 1 Grade 1 AdditionFind the value of 42 – 17 .
- 16. Example 1 Grade 1 AdditionFind the value of 32 – 14 .Anchor Green Primary School, Singapore
- 17. Example 1 Grade 1 AdditionFind the value of 32 – 14 .Anchor Green Primary School, Singapore
- 18. Intellectual activity is anywhere and everywhere,whether at the frontier of knowledge or in a third-grade classroom Jerome BrunerMathematics is an excellent vehicle for thedevelopment and improvement of a person’sintellectual competencies … Singapore Ministry of Education
- 19. CPA Approach is a main feature of Singapore Math. It is based on Jerome Bruner’s theory of representation.Escuela Guetamala, Vina del Mar, Chile
- 20. example
- 21. Example 2 Grade 4 Mixed Numbers
- 22. Recommended Lesson Structure solving one problem60 minutes guided consolidation independent work
- 23. example
- 24. Calvin spent a third of his allowance on a gift anda fourth of the remainder to buy a book. He thenhad $36 left.What was Calvin’s allowance before he boughtthe gift and the book?
- 25. Calvin spent a third of his allowance on a gift anda half of the remainder to buy a book. He thenhad $36 left.What was Calvin’s allowance before he boughtthe gift and the book?
- 26. Calvin spent a third of his allowance on a gift anda fifth of the remainder to buy a book. He thenhad $36 left.What was Calvin’s allowance before he boughtthe gift and the book?
- 27. 8 units = $36 15 units = ? 2 thirds $45 1 third $45 2 4 units = $36 5 units = $45Method 3 Method 34 fifths of the remainder = $36 2 thirds of his allowance = $45The remainder was $36 4 x 5 = $45 His allowance was $45 2 x 3 = $67.50 .
- 28. One Problem, Every Student:Differentiated Instruction Using Singapore MathA workshop presented by Dr. Yeap Ban Har, Principal of Marshall Cavendish Institute.Learn to differentiate a task to cater to a mixed-ability class. Find out how SingaporeMath is designed to enable all learners to learn mathematics well. adequate scaffoldUnderstand how Singapore Math is designed withto enable struggling learners to learn thesubject well. extend a At the same time, learn how totask to engage advanced learnerswhile keeping the lesson accessible to the rest of the class.
- 29. Math Intervention at Middle School Yeap Ban Har Friday 2:30 – 3:30 Room 118B Convention Center Slides are available at www.banhar.blogspot.comwww.facebook.com/MCISingapore

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