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strategies to incorporat e reflection in primary mathematics lessons Yeap Ban Har Marshall Cavendish Institute Pathlight School Slides are available at www.banhar.blogspot.com

AME2012 Keynote

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This is the keynote lecture delivered at AME-SMS Mathematics Teachers Conference

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Page 1: AME2012 Keynote

strategiesto incorporatereflection

in primary mathematics lessonsYe 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 ti 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

Page 2: AME2012 Keynote

Without reflection, learning

ends "short of the re-organization of thinking that deep learning requires" (Ewell, 1997).

SynopsisUsing examples from each grade level,

the speaker will model teacher actions and share strategies to help teachers incorporate elements of reflections in mathematics lessons.

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strategydiscussingmethods

Re-organization of thinking:• Find all the ways to ‘make ten’.• Think about methods that your

friends are not likely to use.

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strategydiscussingmethods

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

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Keys Grade School. Manila

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

strategydiscussingmethodsAspects of Reflection• Reflect to seek an ‘efficient’ method

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My Pals Are Here! Maths

Aspects of Reflection• Reflect to seek an ‘efficient’ method

strategydiscussingmethods

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Pathlight School, Singapore

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Pathlight School, Singapore

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Pathlight School, Singapore

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strategyjournalwriting

Aspects of Reflection• Reflection as a form of teacher assessment

Re-organization of thinking:• Identifying the big idea• Revisiting a selection of details

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Pathlight School, Singapore

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Aspects of Reflection• Reflection to articulate procedures

Re-organization of thinking:• Generalizing a procedure that

has been used repeatedly

strategyjournalwriting

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Aspects of Reflection• Reflection to check oneself

Re-organization of thinking:• From doing to evaluating

Princess Elizabeth School, Singapore

strategyselfassessment

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strategyquestioningtechnique

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Alice

Betty

Charmaine

Dolly

20

10

260

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Alice

Betty

Charmaine

Dolly

20

10

260 + 20 – 10 = 270

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Alice

Betty

Charmaine

Dolly

20 260 + 20 – 10 = 270

9 units = 270

1 units = 270 9 = 30

30 3 units = 30 x 3 = 90

Dolly had 90 sweets more than Charmaine

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Alice

Betty

Charmaine

Dolly

20 260

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strategyproblemposing

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strategiesto incorporatereflection

in primary mathematics lessonsYe 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 ti 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