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strategies
                to incorporate
                reflection lessons
         in primary mathematics
Ye 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 l

Slides are available at
www.banhar.blogspot.com
Without reflection, learning
ends "short of the re-
organization                   of
thinking that deep      learning
requires" (Ewell, 1997).
                   Synopsis
                  Using examples from each grade level, the
                                  teacher actions and
                  speaker will model
                  share   strategies to help teachers
                  incorporate elements   of   reflections   in
                  mathematics lessons.
Re-organization of thinking:
• Find all the ways to ‘make ten’.
• Think about methods that your
  friends are not likely to use.

            strategy
   discussingmethods
Aspects of Reflection
• Reflect to be comprehensive
• Reflect to be go beyond the typical


            strategy
   discussingmethods
How would you break
4816 up in finding the
value of 4816  4? How
about 1512 in 1512  3?




                                     strategy
              Keys Grade School. Manila


Aspects of Reflection       discussingmethods
• Reflect to seek an ‘efficient’ method
My Pals Are Here! Maths




                                     strategy
                                    discussingmethods


Aspects of Reflection
• Reflect to seek an ‘efficient’ method
Pathlight School, Singapore
Pathlight School, Singapore
Pathlight School, Singapore
Re-organization of thinking:
                       • Identifying the big idea
                       • Revisiting a selection of details

Aspects of Reflection
• Reflection as a form of teacher assessment



                            strategy
                       journalwriting
Pathlight School, Singapore
Re-organization of thinking:
                       • Generalizing a procedure that
                         has been used repeatedly

Aspects of Reflection
• Reflection to articulate procedures



                            strategy
                       journalwriting
Princess Elizabeth
School, Singapore




                                  Re-organization of thinking:
                                  • From doing to evaluating
             Aspects of Reflection
             • Reflection to check oneself



                                         strategy
                                   selfassessment
strategy
questioningtechnique
Alice       20        260



Betty            10



Charmaine

Dolly
Alice       20        260 + 20 – 10 = 270



Betty            10



Charmaine

Dolly
Alice                        20             260 + 20 – 10 = 270



Betty                                       9 units = 270
                                            1 units = 270  9 = 30

Charmaine       30                          3 units = 30 x 3 = 90


Dolly
            Dolly had 90 sweets more than Charmaine
Alice       20   260



Betty

Charmaine

Dolly
strategy
problemposing
strategies
                to incorporate
                reflection lessons
         in primary mathematics
Ye 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 l

Slides are available at
www.banhar.blogspot.com

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AME2012 Keynote

  • 1. strategies to incorporate reflection lessons in primary mathematics Ye 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 l Slides are available at www.banhar.blogspot.com
  • 2. Without reflection, learning ends "short of the re- organization of thinking that deep learning requires" (Ewell, 1997). Synopsis Using examples from each grade level, the teacher actions and speaker will model share strategies to help teachers incorporate elements of reflections in mathematics lessons.
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  • 8. Re-organization of thinking: • Find all the ways to ‘make ten’. • Think about methods that your friends are not likely to use. strategy discussingmethods
  • 9. Aspects of Reflection • Reflect to be comprehensive • Reflect to be go beyond the typical strategy discussingmethods
  • 10. How would you break 4816 up in finding the value of 4816  4? How about 1512 in 1512  3? strategy Keys Grade School. Manila Aspects of Reflection discussingmethods • Reflect to seek an ‘efficient’ method
  • 11. My Pals Are Here! Maths strategy discussingmethods Aspects of Reflection • Reflect to seek an ‘efficient’ method
  • 15. Re-organization of thinking: • Identifying the big idea • Revisiting a selection of details Aspects of Reflection • Reflection as a form of teacher assessment strategy journalwriting
  • 17. Re-organization of thinking: • Generalizing a procedure that has been used repeatedly Aspects of Reflection • Reflection to articulate procedures strategy journalwriting
  • 18. Princess Elizabeth School, Singapore Re-organization of thinking: • From doing to evaluating Aspects of Reflection • Reflection to check oneself strategy selfassessment
  • 20. Alice 20 260 Betty 10 Charmaine Dolly
  • 21. Alice 20 260 + 20 – 10 = 270 Betty 10 Charmaine Dolly
  • 22. Alice 20 260 + 20 – 10 = 270 Betty 9 units = 270 1 units = 270  9 = 30 Charmaine 30 3 units = 30 x 3 = 90 Dolly Dolly had 90 sweets more than Charmaine
  • 23. Alice 20 260 Betty Charmaine Dolly
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  • 26. strategies to incorporate reflection lessons in primary mathematics Ye 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 l Slides are available at www.banhar.blogspot.com