AME-SMS Conference 2012 Secondary

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This is the parallel lecture given to the secondary teachers at 2012 A

This is the parallel lecture given to the secondary teachers at 2012 A

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  • 1. Parallel Lecture strategies to incorporate reflection in the mathematics classroomYe a p B a n H a r  M a r s h a l l C a v e n d i s h I n s t i t u t e  P a t h l i g h t S c h o o lSlides are available at www.banhar.blogspot.com
  • 2. Without reflection, learning ends"short of the re-organizationof thinking that deep learningrequires" (Ewell, 1997). Synopsis This lecture includes some examples of how teachers can use strategies to encourage reflection in mathematics lessons. The examples covers lessons which are more teacher-centric such as lectures as well as lessons which are more student-centric such as group work.
  • 3. strategies  lesson organization  lesson implementation  lesson routine  lesson philosophy
  • 4. Lesson  Calculate the sum of interior angles of 30 May 2012 the polygon. Solution Sum = 3 x 180o strategy anchortask Method 1 Method 2 What if not pentagon? Sum = (n – 2) x 180o
  • 5. strategyboardwriting
  • 6. strategymathsjournal
  • 7. strategymathsjournal
  • 8. B A N H A RProblem 1
  • 9. B A N H A RProblem 1
  • 10. B A N H A RProblem 1
  • 11. B A N H A RProblem 1
  • 12. B A N H A RProblem 1
  • 13. B A N H A RProblem 1
  • 14. B A N H A RProblem 1
  • 15. B A N H A RProblem 1
  • 16. B A N H A RProblem 1
  • 17. B A N H A RProblem 1
  • 18. B A N H A RProblem 1
  • 19. B A N H A RProblem 1
  • 20. B A N H A RProblem 1
  • 21. B A N H A RProblem 1
  • 22. B A N H A RProblem 1
  • 23. B A N H A RProblem 1
  • 24. B A N H A RProblem 1
  • 25. B A N H A RProblem 1
  • 26. B A N H A RProblem 1
  • 27. B A N H A R Which letter isProblem 1 counted 99?
  • 28. B A N H A R 1 2 3 4 5 6 11 10 9 8 7 12 13 14 15 16Problem 1 21 20 19 18 17 22 23 24 25 26 31 30 29 28 27 32 33 34 35 36 Which letter in your name is counted 99?
  • 29. Number of Letters Which Letter? 6 3rd Problem 1 3 3rd 7 3rd 5 3rd 4 3rd ???Which letter in yourname is counted 99? 8 1st
  • 30. Number of Letters Special Number 6 10 Problem 1 3 7 5 4Which letter in yourname is counted 99? 8
  • 31. Generalization is an important aspect of mathematics learning.Reflect What are some reflection strategies used to develop this competency?
  • 32. King Solomon Academy, London
  • 33. strategy studentexplainingKing Solomon Academy, London
  • 34. You have done _____ tasks. There are ______ mistakes. Please find and correct them before ABC Secondary School ________Name: ClassSolve the equations1. 3x – 1 = 42. 3 – 4x = 13. 3x – 1 = 5x + 2 Re-organization of thinking: • From doing to evaluating Aspects of Reflection • Reflection to check oneself • Realizing the need to check oneself strategy selfassessment
  • 35. Lesson 41 10.10.11
  • 36. Lesson 41 10.10.11 a b To prove that angle at centre is equal to 2a + 2b a
  • 37. Northbrooks Secondary School, Singapore
  • 38. Lesson 41 10.10.11 a b To prove that angle at centre is equal to 2a + 2b 180o - 2a 2a a
  • 39. Lesson 41 10.10.11 a b To prove that angle at centre is equal to 2a + 2b 2a 2b b a
  • 40. Lesson 42 10.10.11 a b In the case of this type of figures, where is the angle at b centre? a 2a 2b strategyproblemsolving approach
  • 41. strategy problemposing strategyquestioningtechnique
  • 42. Parallel Lecture strategies to incorporate reflection in the mathematics classroomYe a p B a n H a r  M a r s h a l l C a v e n d i s h I n s t i t u t e  P a t h l i g h t S c h o o lSlides are available at www.banhar.blogspot.com