MTAP TL International Convention

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Singapore Math & Teacher Preparation

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MTAP TL International Convention

  1. 1. Singapore Singapore Math in Colorado, USA Math & TeacherPreparationplenary lecture Dr. Yeap Ban HarMTAP (Tertiary Chapter) Marshall Cavendish Institute Singapore yeapbanhar@gmail.comwww.banhar.blogspot.com
  2. 2. Singapore This lecture focuses on the whats and hows of Singapore Math Math and the implications on teacher preparation. & TeacherPreparation Singapore Math in Hawaii, USAplenary lecturewww.banhar.blogspot.com
  3. 3. Singapore In particular, the role of mathematics in developing Math thinking as well as conceptual understanding, and the & Teacher central role of problemPreparation solving are discussed.www.banhar.blogspot.com
  4. 4. Kranji Secondary School, SingaporeSingapore Math & TeacherPreparation A framework for teacher preparation to teach mathematics in this particular way is outlined.www.banhar.blogspot.com
  5. 5. Singapore Math in The NetherlandsSingapore Math & TeacherPreparation Singapore Mathwww.banhar.blogspot.com
  6. 6. Example 1How many ½ are there in ¾ ?
  7. 7. Example 1How many ½ are there in ¾ ?
  8. 8. Example 1How many ½ are there in ¾ ?
  9. 9. Example 1How many ½ are there in ¾ ?
  10. 10. Example 1How many ½ are there in ¾ ?Prospective teachers musthave a conceptualunderstanding of thecontent they teach. Theyalso need thecorrespondingpedagogical knowledgee.g. using concreterepresentation and pictorialrepresentation to helpstudents access abstract
  11. 11. Example 2Find the value of 51 3.
  12. 12. Example 2Find the value of 51 3.Prospective teachers mustunderstand mathematicalvariability and perceptualvariability of the mathematicsskill / concept they teach.What is the emphasis when thelesson shift from 21 3 to 51 3?What is the difference betweenusing base ten block and coins to
  13. 13. Theoretical Underpinnings of Singapore MathJerome Bruner• Spiral Approach• CPA ApproachZoltan Dienes• VariabilityRichard Skemp• Relational Understanding Article on Relational Understanding
  14. 14. Lesson 41 16.08.12
  15. 15. Lesson 41 16.08.12 a b To prove that angle at centre is equal to 2a + 2b a
  16. 16. Northbrooks SecondarySchool, Singapore
  17. 17. Lesson 41 10.10.11 a b To prove that angle at centre is equal to 2a + 2b 180o - 2a 2a a
  18. 18. Lesson 41 16.08.12 a b To prove that angle at centre is equal to 2a + 2b 2a 2b b a
  19. 19. key of singapormathemati focuscs e
  20. 20. problem solving
  21. 21. thinking
  22. 22. anexcellent vehicle for the development &improvement of a person’s intellectual competencies Ministry of Education Singapore 2006
  23. 23. conceptuunderstandi alng
  24. 24. developin visualizatiog
  25. 25. 10 7610
  26. 26. x x x 10 76x 10
  27. 27. x x x 10 76 - 20x 10
  28. 28. Singapore Math in London, UK
  29. 29. King SolomonAcademy, London
  30. 30. Singapore Math in The NetherlandsSingapore Math & TeacherPreparation Professional Learningwww.banhar.blogspot.com
  31. 31. Grade 10Grades 11 – 12 Polytechnic University
  32. 32. TeacherPreparation at NIE Professional Development
  33. 33. Certificate in Mathematics Teaching (120 h) Course for Math Marshall Specialists (40 h)Cavendish Institute Course for Math Coaches (40 h) Course for Graduate Research (40 h)
  34. 34. Pedagogy for Teacher Preparationwhere mindset ischanged,knowledge is constructeand the ability to learn, enhanced
  35. 35. Pedagogy for Teacher PreparationTeachers as Learners
  36. 36. Pedagogy for Teacher PreparationTeachers as Observers
  37. 37. Find the distancebetween two givenpoints.Bina Bangsa School, Jakarta Singapore Math courses for teachers provides opportunities for teachers to ‘study’ lessons.
  38. 38. 1st Block 4x2x1 2nd Block 4x2x3 3rd Block Victory Christian International School, ManilaSingapore Mathcourses for teachersprovides opportunitiesfor teachers to ‘study’lessons.
  39. 39. Pedagogy for Teacher PreparationTextbooks are written to embody thelearning theories and emphasis ofmathematics learning. Teachers learnmathematics and how to teach mathematicsfrom the textbooks.
  40. 40. Thank Youyeapbanhar@gmail.comwww.banhar.blogspot.com Junyuan Secondary School, Singapore
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