1 Developing Mathematical Thinking John Mason Flötur, Selfoss Sept 2008.
John Mason Agder Sept 2009
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1 Energies of Inquiry: Energies of Inquiry: what is the nature, form and role what is the nature, form and role of different forms of energy required of different forms of energy required for different forms of mathematical and for different forms of mathematical and pedagogical inquiry? pedagogical inquiry? John Mason John Mason Agder Agder Sept 2009 Sept 2009 The Open University Maths Dept University of Oxford Dept of Education
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The Open University Maths Dept. University of Oxford Dept of Education. Energies of Inquiry: what is the nature, form and role of different forms of energy required for different forms of mathematical and pedagogical inquiry?. John Mason Agder Sept 2009. Three Gunas & Multiple Selves. - PowerPoint PPT Presentation
Transcript of John Mason Agder Sept 2009
1
Energies of Inquiry:Energies of Inquiry:what is the nature, form and rolewhat is the nature, form and role
of different forms of energy requiredof different forms of energy requiredfor different forms of mathematical and for different forms of mathematical and
pedagogical inquiry?pedagogical inquiry?
John MasonJohn Mason
AgderAgder
Sept 2009Sept 2009
The Open UniversityMaths Dept University of Oxford
Dept of Education
2
Three Gunas & Multiple Three Gunas & Multiple SelvesSelves
Impartial Uncommit
tedObjective
Responsive Open
Cautious
ActiveReactiveKeyed up
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Guna Grams for MSWordGuna Grams for MSWord
Impartial Uncommitte
dObjective
Responsive Open
Cautious
ActiveReactiveKeyed
up
4
OutlineOutline
StimulusStimulus– Surprise, frustration, curiositySurprise, frustration, curiosity
InitiatingInitiating– Barely Noticing; Marking; RecordingBarely Noticing; Marking; Recording
Sustaining through commitmentsSustaining through commitments– Sharing (social); Sharing (social); – Connecting (to literature)Connecting (to literature)– Integrating for selfIntegrating for self– Influencing future practiceInfluencing future practice
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Context: MathematicsContext: Mathematics Getting StartedGetting Started Getting InvolvedGetting Involved MullingMulling Keeping GoingKeeping Going InsightInsight Being ScepticalBeing Sceptical Contemplating Contemplating
– reflecting, re-constructing, reflecting, re-constructing, abstracting …abstracting …
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Context: PedagogyContext: Pedagogy Getting StartedGetting Started Getting InvolvedGetting Involved MullingMulling Keeping GoingKeeping Going InsightInsight Being ScepticalBeing Sceptical Contemplating Contemplating
– reflecting, re-constructing, reflecting, re-constructing, abstracting …abstracting …
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SourcesSources
Thinking Mathematically (New Edition 2010) Thinking Mathematically (New Edition 2010) (Pearson)(Pearson)
Researching Your own Practice Using the Researching Your own Practice Using the Discipline of Noticing (2002 Routledge)Discipline of Noticing (2002 Routledge)
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