Thematic Working Group 4

Argumentation and Proof


Rudolf vom Hofe, Christine Knipping, Maria Alessandra Mariotti and Bettina Pedemonte
Argumentation and proof (Introduction)

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Werner Blum
On the Role of "Grundvorstellungen" for reality-related proofs

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Nadia Douek
From oral to written texts in grade I and the approach to argumentation: the role of social interaction and task context

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Viviane Durand-Guerrier
Logic and mathematical reasoning from a didactical point of view

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Aiso Heinze and Kristina Reiss
Reasoning and proof: methodological knowledge as a component of proof competence

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Christine Knipping
Argumentation structures in classroom proving situations

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Dietmar Küchemann and Celia Hoyles
The quality of students' explanations on a non-standard geometry item

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Christina Misailidou and Julian Williams
Children's arguments in discussion of a "difficult" ratioproblem: the role of a pistorial representation

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Kirsti Nordström
Swedish university entrants' experiences about and attitudes to proof and proving

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Bettina Pedemonte
What kind of proof can be constructed following an abductive argumentation?

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David A. Reid
Forms and uses of abduction

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Aldo Scimone
An educational experimentation on Goldbach's conjecture

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Rudolf vom Hofe
Epistemological problems with the limit concept - a case study on oommunication and argumentation within a computer-based learning environment

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Oleksiy Yevdokimov
The place and significance of the problems for proof in learning mathematics

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Introduction to Thematic Group 4



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