SlideShare a Scribd company logo
Yishay Mor, Maths Lunch, IOE, Dec. 2008 A Narrative Epistemology for Mathematics;  Genetic, Normative and Imperative
Agenda ,[object Object],[object Object],[object Object]
A possible path from experience to knowledge
Narrative ::  something  happened to  someone  in some  circumstances
Narrative has.. ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],My focus is on narrative as a cognitive / social epistemic vehicle: A means for making sense of the world.
From body to story Perception Attention Selection Sequencing
Linguistic & Neuro-cognitive evidence ,[object Object],[object Object],[object Object],[object Object],[object Object],Zwaan & Radvansky, 98; Mar, 04
Translated ,[object Object],[object Object]
Brain metaphors..
Fusing Narratives My Swan Your Swan Swancept
Genre transposition Paradigmatic Imaginative  I saw a white swan I saw a white swan Swans are white
Ok, but what has this got to do with learning mathematics?
Learning = creating knowledge ,[object Object],[object Object],[object Object]
Epistemology ,[object Object],[object Object],[object Object]
Three Epistemologies ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Example: genetic I predict that when I add up the totals they will start at 0.5 and increase by smaller and smaller amounts without getting to 1. I think this because the first number in my sequence is 0.5. This takes me half way to 1. To get to 1 I would need to add this again but I only add half of this, 0.25. This means that each time I only add half of what is necessary to get to 1 so I will never get there. I think the line of the graph will look like the graph above upside down or the one underneath but not so wobbly!
Questions ,[object Object],[object Object],[object Object]
Example: normative
Design patterns [describe] a problem which occurs over and over again in our environment, and then describes the core of the solution to that problem, in such a way that you can use this solution a million times over, without ever doing it the same way twice (Alexander et al., 1977)‏ C o n t e x t Problem Solution
Tell me a story ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
The three hats ,[object Object],[object Object]
What do  you  see? After a case story is presented, ask the audience to identify the primary points from their perspective. What is the key message you take from this story?
Make it a pattern When, Where, Who Collision of forces Cookbook: ingredients, procedure, expected outcomes  C o n t e x t Problem Solution
Questions: normative ,[object Object],[object Object],[object Object]
Example: Imperative
Example design pattern: objects to talk with Learning activities involve the use or construction of artefacts. When providing tools for learners to discuss their experience ... allow them to include these artefacts in the scope of their discussion. [...] Whatever the nature of the objects, the medium should support a visual (graphical, symbolic, animated or simulated) 1:1 representation of these objects.
Questions: imperative ,[object Object],[object Object],[object Object],[object Object]
http://xkcd.com/55/

More Related Content

Similar to Narrative Epistemology for Mathematics

Explanation andy tharby
Explanation   andy tharbyExplanation   andy tharby
Explanation andy tharby
shaun_allison
 
Yess 4 Laurinda Brown
Yess 4 Laurinda BrownYess 4 Laurinda Brown
Yess 4 Laurinda Brown
carlos torres
 
Behaviorism tocognitivism 13
Behaviorism tocognitivism 13Behaviorism tocognitivism 13
Behaviorism tocognitivism 13
Amy Adcock
 
Chapter 5 EpistemologyIt is the mark of an educated mind .docx
Chapter 5 EpistemologyIt is the mark of an educated mind .docxChapter 5 EpistemologyIt is the mark of an educated mind .docx
Chapter 5 EpistemologyIt is the mark of an educated mind .docx
christinemaritza
 
03. intro to argument, informal fallacies
03. intro to argument, informal fallacies03. intro to argument, informal fallacies
03. intro to argument, informal fallacies
Justin Morris
 
Pedagogical patterns for learning programming by mistakes (presentation) (1)
Pedagogical patterns for learning programming by mistakes (presentation) (1)Pedagogical patterns for learning programming by mistakes (presentation) (1)
Pedagogical patterns for learning programming by mistakes (presentation) (1)
Ljubomir Jerinic
 
Module 1 lecture
Module 1 lectureModule 1 lecture
Module 1 lecture
melanielayttu
 
Chi 2001 workshop proposal on narrative techniques
Chi 2001 workshop proposal on narrative techniquesChi 2001 workshop proposal on narrative techniques
Chi 2001 workshop proposal on narrative techniques
John Thomas
 
Why use video by david mann
Why use video by david mannWhy use video by david mann
Why use video by david mann
David Mann
 
Unit1 revision
Unit1 revisionUnit1 revision
Unit1 revision
Jamie Davies
 
We Learn through Analogies
We Learn through AnalogiesWe Learn through Analogies
We Learn through Analogies
Carole Hamilton
 
Concept Mapping and the Development of Argumentation in the ZPD
Concept Mapping and the Development of Argumentation in the ZPDConcept Mapping and the Development of Argumentation in the ZPD
Concept Mapping and the Development of Argumentation in the ZPD
Alfredo Tifi
 
Story in teaching
Story in teachingStory in teaching
Story in teaching
oceanicbird
 
The Multi Store Model Of Memory And Research Into...
The Multi Store Model Of Memory And Research Into...The Multi Store Model Of Memory And Research Into...
The Multi Store Model Of Memory And Research Into...
Lindsey Campbell
 
Why symbol-grounding is both impossible and unnecessary, and why theory-tethe...
Why symbol-grounding is both impossible and unnecessary, and why theory-tethe...Why symbol-grounding is both impossible and unnecessary, and why theory-tethe...
Why symbol-grounding is both impossible and unnecessary, and why theory-tethe...
Aaron Sloman
 
MOOCs and open practices PGDip presentation
MOOCs and open practices PGDip presentationMOOCs and open practices PGDip presentation
MOOCs and open practices PGDip presentation
michaelgloveresearch
 
Learning
LearningLearning
Learning
butest
 
Changing assessments using tri archic intelligence theory.
Changing assessments using tri archic intelligence theory.Changing assessments using tri archic intelligence theory.
Changing assessments using tri archic intelligence theory.
SusanYoung98
 
Mental models - Final Presentation
Mental models - Final PresentationMental models - Final Presentation
Mental models - Final Presentation
Kishan Salian
 
philosophy of education
philosophy of educationphilosophy of education
philosophy of education
Muhammad Zeeshan
 

Similar to Narrative Epistemology for Mathematics (20)

Explanation andy tharby
Explanation   andy tharbyExplanation   andy tharby
Explanation andy tharby
 
Yess 4 Laurinda Brown
Yess 4 Laurinda BrownYess 4 Laurinda Brown
Yess 4 Laurinda Brown
 
Behaviorism tocognitivism 13
Behaviorism tocognitivism 13Behaviorism tocognitivism 13
Behaviorism tocognitivism 13
 
Chapter 5 EpistemologyIt is the mark of an educated mind .docx
Chapter 5 EpistemologyIt is the mark of an educated mind .docxChapter 5 EpistemologyIt is the mark of an educated mind .docx
Chapter 5 EpistemologyIt is the mark of an educated mind .docx
 
03. intro to argument, informal fallacies
03. intro to argument, informal fallacies03. intro to argument, informal fallacies
03. intro to argument, informal fallacies
 
Pedagogical patterns for learning programming by mistakes (presentation) (1)
Pedagogical patterns for learning programming by mistakes (presentation) (1)Pedagogical patterns for learning programming by mistakes (presentation) (1)
Pedagogical patterns for learning programming by mistakes (presentation) (1)
 
Module 1 lecture
Module 1 lectureModule 1 lecture
Module 1 lecture
 
Chi 2001 workshop proposal on narrative techniques
Chi 2001 workshop proposal on narrative techniquesChi 2001 workshop proposal on narrative techniques
Chi 2001 workshop proposal on narrative techniques
 
Why use video by david mann
Why use video by david mannWhy use video by david mann
Why use video by david mann
 
Unit1 revision
Unit1 revisionUnit1 revision
Unit1 revision
 
We Learn through Analogies
We Learn through AnalogiesWe Learn through Analogies
We Learn through Analogies
 
Concept Mapping and the Development of Argumentation in the ZPD
Concept Mapping and the Development of Argumentation in the ZPDConcept Mapping and the Development of Argumentation in the ZPD
Concept Mapping and the Development of Argumentation in the ZPD
 
Story in teaching
Story in teachingStory in teaching
Story in teaching
 
The Multi Store Model Of Memory And Research Into...
The Multi Store Model Of Memory And Research Into...The Multi Store Model Of Memory And Research Into...
The Multi Store Model Of Memory And Research Into...
 
Why symbol-grounding is both impossible and unnecessary, and why theory-tethe...
Why symbol-grounding is both impossible and unnecessary, and why theory-tethe...Why symbol-grounding is both impossible and unnecessary, and why theory-tethe...
Why symbol-grounding is both impossible and unnecessary, and why theory-tethe...
 
MOOCs and open practices PGDip presentation
MOOCs and open practices PGDip presentationMOOCs and open practices PGDip presentation
MOOCs and open practices PGDip presentation
 
Learning
LearningLearning
Learning
 
Changing assessments using tri archic intelligence theory.
Changing assessments using tri archic intelligence theory.Changing assessments using tri archic intelligence theory.
Changing assessments using tri archic intelligence theory.
 
Mental models - Final Presentation
Mental models - Final PresentationMental models - Final Presentation
Mental models - Final Presentation
 
philosophy of education
philosophy of educationphilosophy of education
philosophy of education
 

More from Yishay Mor

Education as a design practice and a design science
Education as a design practice and a design scienceEducation as a design practice and a design science
Education as a design practice and a design science
Yishay Mor
 
Simon Nelson: FutureLearn
Simon Nelson: FutureLearnSimon Nelson: FutureLearn
Simon Nelson: FutureLearn
Yishay Mor
 
Paul Hunter: why MOOCs and Executives Don't Mix
Paul Hunter: why MOOCs and Executives Don't MixPaul Hunter: why MOOCs and Executives Don't Mix
Paul Hunter: why MOOCs and Executives Don't Mix
Yishay Mor
 
Sanna Ruhalahti: Wanted - MOOC Pedagogy
Sanna Ruhalahti: Wanted - MOOC PedagogySanna Ruhalahti: Wanted - MOOC Pedagogy
Sanna Ruhalahti: Wanted - MOOC Pedagogy
Yishay Mor
 
OEC Paris Residential: scenarios workshop
OEC Paris Residential: scenarios workshopOEC Paris Residential: scenarios workshop
OEC Paris Residential: scenarios workshop
Yishay Mor
 
MOOCs for Web Talent
MOOCs for Web TalentMOOCs for Web Talent
MOOCs for Web Talent
Yishay Mor
 
OpenEducation Challenge Incubator Programme
OpenEducation Challenge Incubator ProgrammeOpenEducation Challenge Incubator Programme
OpenEducation Challenge Incubator Programme
Yishay Mor
 
OpenEducation Challenge Finalists' Workshop: Design Thinking Session
OpenEducation Challenge Finalists' Workshop: Design Thinking SessionOpenEducation Challenge Finalists' Workshop: Design Thinking Session
OpenEducation Challenge Finalists' Workshop: Design Thinking Session
Yishay Mor
 
EEE Project Meeting, June 2014
EEE Project Meeting, June 2014EEE Project Meeting, June 2014
EEE Project Meeting, June 2014
Yishay Mor
 
How to ruin a MOOC? JISC RSC Yorkshire & the Humber Online Conference 2013
How to ruin a MOOC? JISC RSC Yorkshire & the Humber Online Conference 2013How to ruin a MOOC? JISC RSC Yorkshire & the Humber Online Conference 2013
How to ruin a MOOC? JISC RSC Yorkshire & the Humber Online Conference 2013
Yishay Mor
 
How to ruin a mooc
How to ruin a moocHow to ruin a mooc
How to ruin a mooc
Yishay Mor
 
Iterative research and development of teacher training in learning design
Iterative research and development of teacher training in learning design  Iterative research and development of teacher training in learning design
Iterative research and development of teacher training in learning design
Yishay Mor
 
Metis project worskhop design
Metis project worskhop designMetis project worskhop design
Metis project worskhop design
Yishay Mor
 
Metis project deliverable D3.2: Draft of pilot workshop
Metis project deliverable D3.2: Draft of pilot workshopMetis project deliverable D3.2: Draft of pilot workshop
Metis project deliverable D3.2: Draft of pilot workshop
Yishay Mor
 
OLDS MOOC Week 7: Formative evaluation paper
OLDS MOOC Week 7: Formative evaluation paperOLDS MOOC Week 7: Formative evaluation paper
OLDS MOOC Week 7: Formative evaluation paper
Yishay Mor
 
Design narratives
Design narrativesDesign narratives
Design narratives
Yishay Mor
 
Week7 intro evaluate
Week7 intro evaluateWeek7 intro evaluate
Week7 intro evaluate
Yishay Mor
 
The Pedagogical Patterns Collector User Guide
The Pedagogical Patterns Collector User GuideThe Pedagogical Patterns Collector User Guide
The Pedagogical Patterns Collector User Guide
Yishay Mor
 
TILD workshop at ARV 2013
TILD workshop at ARV 2013TILD workshop at ARV 2013
TILD workshop at ARV 2013
Yishay Mor
 
Learning Design: mapping the landscape
Learning Design: mapping the landscapeLearning Design: mapping the landscape
Learning Design: mapping the landscape
Yishay Mor
 

More from Yishay Mor (20)

Education as a design practice and a design science
Education as a design practice and a design scienceEducation as a design practice and a design science
Education as a design practice and a design science
 
Simon Nelson: FutureLearn
Simon Nelson: FutureLearnSimon Nelson: FutureLearn
Simon Nelson: FutureLearn
 
Paul Hunter: why MOOCs and Executives Don't Mix
Paul Hunter: why MOOCs and Executives Don't MixPaul Hunter: why MOOCs and Executives Don't Mix
Paul Hunter: why MOOCs and Executives Don't Mix
 
Sanna Ruhalahti: Wanted - MOOC Pedagogy
Sanna Ruhalahti: Wanted - MOOC PedagogySanna Ruhalahti: Wanted - MOOC Pedagogy
Sanna Ruhalahti: Wanted - MOOC Pedagogy
 
OEC Paris Residential: scenarios workshop
OEC Paris Residential: scenarios workshopOEC Paris Residential: scenarios workshop
OEC Paris Residential: scenarios workshop
 
MOOCs for Web Talent
MOOCs for Web TalentMOOCs for Web Talent
MOOCs for Web Talent
 
OpenEducation Challenge Incubator Programme
OpenEducation Challenge Incubator ProgrammeOpenEducation Challenge Incubator Programme
OpenEducation Challenge Incubator Programme
 
OpenEducation Challenge Finalists' Workshop: Design Thinking Session
OpenEducation Challenge Finalists' Workshop: Design Thinking SessionOpenEducation Challenge Finalists' Workshop: Design Thinking Session
OpenEducation Challenge Finalists' Workshop: Design Thinking Session
 
EEE Project Meeting, June 2014
EEE Project Meeting, June 2014EEE Project Meeting, June 2014
EEE Project Meeting, June 2014
 
How to ruin a MOOC? JISC RSC Yorkshire & the Humber Online Conference 2013
How to ruin a MOOC? JISC RSC Yorkshire & the Humber Online Conference 2013How to ruin a MOOC? JISC RSC Yorkshire & the Humber Online Conference 2013
How to ruin a MOOC? JISC RSC Yorkshire & the Humber Online Conference 2013
 
How to ruin a mooc
How to ruin a moocHow to ruin a mooc
How to ruin a mooc
 
Iterative research and development of teacher training in learning design
Iterative research and development of teacher training in learning design  Iterative research and development of teacher training in learning design
Iterative research and development of teacher training in learning design
 
Metis project worskhop design
Metis project worskhop designMetis project worskhop design
Metis project worskhop design
 
Metis project deliverable D3.2: Draft of pilot workshop
Metis project deliverable D3.2: Draft of pilot workshopMetis project deliverable D3.2: Draft of pilot workshop
Metis project deliverable D3.2: Draft of pilot workshop
 
OLDS MOOC Week 7: Formative evaluation paper
OLDS MOOC Week 7: Formative evaluation paperOLDS MOOC Week 7: Formative evaluation paper
OLDS MOOC Week 7: Formative evaluation paper
 
Design narratives
Design narrativesDesign narratives
Design narratives
 
Week7 intro evaluate
Week7 intro evaluateWeek7 intro evaluate
Week7 intro evaluate
 
The Pedagogical Patterns Collector User Guide
The Pedagogical Patterns Collector User GuideThe Pedagogical Patterns Collector User Guide
The Pedagogical Patterns Collector User Guide
 
TILD workshop at ARV 2013
TILD workshop at ARV 2013TILD workshop at ARV 2013
TILD workshop at ARV 2013
 
Learning Design: mapping the landscape
Learning Design: mapping the landscapeLearning Design: mapping the landscape
Learning Design: mapping the landscape
 

Recently uploaded

The simplified electron and muon model, Oscillating Spacetime: The Foundation...
The simplified electron and muon model, Oscillating Spacetime: The Foundation...The simplified electron and muon model, Oscillating Spacetime: The Foundation...
The simplified electron and muon model, Oscillating Spacetime: The Foundation...
RitikBhardwaj56
 
ISO/IEC 27001, ISO/IEC 42001, and GDPR: Best Practices for Implementation and...
ISO/IEC 27001, ISO/IEC 42001, and GDPR: Best Practices for Implementation and...ISO/IEC 27001, ISO/IEC 42001, and GDPR: Best Practices for Implementation and...
ISO/IEC 27001, ISO/IEC 42001, and GDPR: Best Practices for Implementation and...
PECB
 
MARY JANE WILSON, A “BOA MÃE” .
MARY JANE WILSON, A “BOA MÃE”           .MARY JANE WILSON, A “BOA MÃE”           .
MARY JANE WILSON, A “BOA MÃE” .
Colégio Santa Teresinha
 
How to Add Chatter in the odoo 17 ERP Module
How to Add Chatter in the odoo 17 ERP ModuleHow to Add Chatter in the odoo 17 ERP Module
How to Add Chatter in the odoo 17 ERP Module
Celine George
 
The basics of sentences session 5pptx.pptx
The basics of sentences session 5pptx.pptxThe basics of sentences session 5pptx.pptx
The basics of sentences session 5pptx.pptx
heathfieldcps1
 
PIMS Job Advertisement 2024.pdf Islamabad
PIMS Job Advertisement 2024.pdf IslamabadPIMS Job Advertisement 2024.pdf Islamabad
PIMS Job Advertisement 2024.pdf Islamabad
AyyanKhan40
 
Hindi varnamala | hindi alphabet PPT.pdf
Hindi varnamala | hindi alphabet PPT.pdfHindi varnamala | hindi alphabet PPT.pdf
Hindi varnamala | hindi alphabet PPT.pdf
Dr. Mulla Adam Ali
 
How to Build a Module in Odoo 17 Using the Scaffold Method
How to Build a Module in Odoo 17 Using the Scaffold MethodHow to Build a Module in Odoo 17 Using the Scaffold Method
How to Build a Module in Odoo 17 Using the Scaffold Method
Celine George
 
Top five deadliest dog breeds in America
Top five deadliest dog breeds in AmericaTop five deadliest dog breeds in America
Top five deadliest dog breeds in America
Bisnar Chase Personal Injury Attorneys
 
ANATOMY AND BIOMECHANICS OF HIP JOINT.pdf
ANATOMY AND BIOMECHANICS OF HIP JOINT.pdfANATOMY AND BIOMECHANICS OF HIP JOINT.pdf
ANATOMY AND BIOMECHANICS OF HIP JOINT.pdf
Priyankaranawat4
 
Introduction to AI for Nonprofits with Tapp Network
Introduction to AI for Nonprofits with Tapp NetworkIntroduction to AI for Nonprofits with Tapp Network
Introduction to AI for Nonprofits with Tapp Network
TechSoup
 
South African Journal of Science: Writing with integrity workshop (2024)
South African Journal of Science: Writing with integrity workshop (2024)South African Journal of Science: Writing with integrity workshop (2024)
South African Journal of Science: Writing with integrity workshop (2024)
Academy of Science of South Africa
 
The basics of sentences session 6pptx.pptx
The basics of sentences session 6pptx.pptxThe basics of sentences session 6pptx.pptx
The basics of sentences session 6pptx.pptx
heathfieldcps1
 
Smart-Money for SMC traders good time and ICT
Smart-Money for SMC traders good time and ICTSmart-Money for SMC traders good time and ICT
Smart-Money for SMC traders good time and ICT
simonomuemu
 
Assessment and Planning in Educational technology.pptx
Assessment and Planning in Educational technology.pptxAssessment and Planning in Educational technology.pptx
Assessment and Planning in Educational technology.pptx
Kavitha Krishnan
 
Chapter 4 - Islamic Financial Institutions in Malaysia.pptx
Chapter 4 - Islamic Financial Institutions in Malaysia.pptxChapter 4 - Islamic Financial Institutions in Malaysia.pptx
Chapter 4 - Islamic Financial Institutions in Malaysia.pptx
Mohd Adib Abd Muin, Senior Lecturer at Universiti Utara Malaysia
 
Lapbook sobre os Regimes Totalitários.pdf
Lapbook sobre os Regimes Totalitários.pdfLapbook sobre os Regimes Totalitários.pdf
Lapbook sobre os Regimes Totalitários.pdf
Jean Carlos Nunes Paixão
 
বাংলাদেশ অর্থনৈতিক সমীক্ষা (Economic Review) ২০২৪ UJS App.pdf
বাংলাদেশ অর্থনৈতিক সমীক্ষা (Economic Review) ২০২৪ UJS App.pdfবাংলাদেশ অর্থনৈতিক সমীক্ষা (Economic Review) ২০২৪ UJS App.pdf
বাংলাদেশ অর্থনৈতিক সমীক্ষা (Economic Review) ২০২৪ UJS App.pdf
eBook.com.bd (প্রয়োজনীয় বাংলা বই)
 
Main Java[All of the Base Concepts}.docx
Main Java[All of the Base Concepts}.docxMain Java[All of the Base Concepts}.docx
Main Java[All of the Base Concepts}.docx
adhitya5119
 
A Strategic Approach: GenAI in Education
A Strategic Approach: GenAI in EducationA Strategic Approach: GenAI in Education
A Strategic Approach: GenAI in Education
Peter Windle
 

Recently uploaded (20)

The simplified electron and muon model, Oscillating Spacetime: The Foundation...
The simplified electron and muon model, Oscillating Spacetime: The Foundation...The simplified electron and muon model, Oscillating Spacetime: The Foundation...
The simplified electron and muon model, Oscillating Spacetime: The Foundation...
 
ISO/IEC 27001, ISO/IEC 42001, and GDPR: Best Practices for Implementation and...
ISO/IEC 27001, ISO/IEC 42001, and GDPR: Best Practices for Implementation and...ISO/IEC 27001, ISO/IEC 42001, and GDPR: Best Practices for Implementation and...
ISO/IEC 27001, ISO/IEC 42001, and GDPR: Best Practices for Implementation and...
 
MARY JANE WILSON, A “BOA MÃE” .
MARY JANE WILSON, A “BOA MÃE”           .MARY JANE WILSON, A “BOA MÃE”           .
MARY JANE WILSON, A “BOA MÃE” .
 
How to Add Chatter in the odoo 17 ERP Module
How to Add Chatter in the odoo 17 ERP ModuleHow to Add Chatter in the odoo 17 ERP Module
How to Add Chatter in the odoo 17 ERP Module
 
The basics of sentences session 5pptx.pptx
The basics of sentences session 5pptx.pptxThe basics of sentences session 5pptx.pptx
The basics of sentences session 5pptx.pptx
 
PIMS Job Advertisement 2024.pdf Islamabad
PIMS Job Advertisement 2024.pdf IslamabadPIMS Job Advertisement 2024.pdf Islamabad
PIMS Job Advertisement 2024.pdf Islamabad
 
Hindi varnamala | hindi alphabet PPT.pdf
Hindi varnamala | hindi alphabet PPT.pdfHindi varnamala | hindi alphabet PPT.pdf
Hindi varnamala | hindi alphabet PPT.pdf
 
How to Build a Module in Odoo 17 Using the Scaffold Method
How to Build a Module in Odoo 17 Using the Scaffold MethodHow to Build a Module in Odoo 17 Using the Scaffold Method
How to Build a Module in Odoo 17 Using the Scaffold Method
 
Top five deadliest dog breeds in America
Top five deadliest dog breeds in AmericaTop five deadliest dog breeds in America
Top five deadliest dog breeds in America
 
ANATOMY AND BIOMECHANICS OF HIP JOINT.pdf
ANATOMY AND BIOMECHANICS OF HIP JOINT.pdfANATOMY AND BIOMECHANICS OF HIP JOINT.pdf
ANATOMY AND BIOMECHANICS OF HIP JOINT.pdf
 
Introduction to AI for Nonprofits with Tapp Network
Introduction to AI for Nonprofits with Tapp NetworkIntroduction to AI for Nonprofits with Tapp Network
Introduction to AI for Nonprofits with Tapp Network
 
South African Journal of Science: Writing with integrity workshop (2024)
South African Journal of Science: Writing with integrity workshop (2024)South African Journal of Science: Writing with integrity workshop (2024)
South African Journal of Science: Writing with integrity workshop (2024)
 
The basics of sentences session 6pptx.pptx
The basics of sentences session 6pptx.pptxThe basics of sentences session 6pptx.pptx
The basics of sentences session 6pptx.pptx
 
Smart-Money for SMC traders good time and ICT
Smart-Money for SMC traders good time and ICTSmart-Money for SMC traders good time and ICT
Smart-Money for SMC traders good time and ICT
 
Assessment and Planning in Educational technology.pptx
Assessment and Planning in Educational technology.pptxAssessment and Planning in Educational technology.pptx
Assessment and Planning in Educational technology.pptx
 
Chapter 4 - Islamic Financial Institutions in Malaysia.pptx
Chapter 4 - Islamic Financial Institutions in Malaysia.pptxChapter 4 - Islamic Financial Institutions in Malaysia.pptx
Chapter 4 - Islamic Financial Institutions in Malaysia.pptx
 
Lapbook sobre os Regimes Totalitários.pdf
Lapbook sobre os Regimes Totalitários.pdfLapbook sobre os Regimes Totalitários.pdf
Lapbook sobre os Regimes Totalitários.pdf
 
বাংলাদেশ অর্থনৈতিক সমীক্ষা (Economic Review) ২০২৪ UJS App.pdf
বাংলাদেশ অর্থনৈতিক সমীক্ষা (Economic Review) ২০২৪ UJS App.pdfবাংলাদেশ অর্থনৈতিক সমীক্ষা (Economic Review) ২০২৪ UJS App.pdf
বাংলাদেশ অর্থনৈতিক সমীক্ষা (Economic Review) ২০২৪ UJS App.pdf
 
Main Java[All of the Base Concepts}.docx
Main Java[All of the Base Concepts}.docxMain Java[All of the Base Concepts}.docx
Main Java[All of the Base Concepts}.docx
 
A Strategic Approach: GenAI in Education
A Strategic Approach: GenAI in EducationA Strategic Approach: GenAI in Education
A Strategic Approach: GenAI in Education
 

Narrative Epistemology for Mathematics

  • 1. Yishay Mor, Maths Lunch, IOE, Dec. 2008 A Narrative Epistemology for Mathematics; Genetic, Normative and Imperative
  • 2.
  • 3. A possible path from experience to knowledge
  • 4. Narrative :: something happened to someone in some circumstances
  • 5.
  • 6. From body to story Perception Attention Selection Sequencing
  • 7.
  • 8.
  • 10. Fusing Narratives My Swan Your Swan Swancept
  • 11. Genre transposition Paradigmatic Imaginative I saw a white swan I saw a white swan Swans are white
  • 12. Ok, but what has this got to do with learning mathematics?
  • 13.
  • 14.
  • 15.
  • 16. Example: genetic I predict that when I add up the totals they will start at 0.5 and increase by smaller and smaller amounts without getting to 1. I think this because the first number in my sequence is 0.5. This takes me half way to 1. To get to 1 I would need to add this again but I only add half of this, 0.25. This means that each time I only add half of what is necessary to get to 1 so I will never get there. I think the line of the graph will look like the graph above upside down or the one underneath but not so wobbly!
  • 17.
  • 19. Design patterns [describe] a problem which occurs over and over again in our environment, and then describes the core of the solution to that problem, in such a way that you can use this solution a million times over, without ever doing it the same way twice (Alexander et al., 1977)‏ C o n t e x t Problem Solution
  • 20.
  • 21.
  • 22. What do you see? After a case story is presented, ask the audience to identify the primary points from their perspective. What is the key message you take from this story?
  • 23. Make it a pattern When, Where, Who Collision of forces Cookbook: ingredients, procedure, expected outcomes C o n t e x t Problem Solution
  • 24.
  • 26. Example design pattern: objects to talk with Learning activities involve the use or construction of artefacts. When providing tools for learners to discuss their experience ... allow them to include these artefacts in the scope of their discussion. [...] Whatever the nature of the objects, the medium should support a visual (graphical, symbolic, animated or simulated) 1:1 representation of these objects.
  • 27.