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Balacheff

CONSTRUCTION OF MATHEMATICAL DEFINITIONS: AN EPISTEMOLOGICAL ...

We chose the cK¢ model (Balacheff-2003) in order to describe these three conceptions of the notion of definition, because it allows a recognition of definition-construction process, ...

RELATION BETWEEN PROOF AND CONCEPTION: THE CASE OF PROOF FOR ...

This point is similar to the two elements of the formal definition proposed by Balacheff (2000) who models a conception with a quadruplet (P, R, L, ∑) ...

A THIRTY - YEAR REFLECTION ON CONSTRUCTIVIS M IN MA THEMATICS ...

... is a key issue in considering how mathematics must be reframed when placed into electronic media such as when Balacheff introduced the ideas of computational transposit ion (Balacheff ...

MMartinez Proof in Algebra v10

(Balacheff, 1982, p. 263) “Les raisons avancées peuv ent être discutées; refusées ou acceptées. Ainsi certaines explications sont reçues pour preuve c’est ...

DG 8: Quality and relevance in mathematics education research

Roskilde University, IMFUFA, 1993 Sierpinska A., Kilpatrick J., Balacheff N., Howson G., Sfard A., Steinbring H. 'What is research in Mathematics Education, ...

mathematics? Cognitive Factors

Balacheff was not referring to just the standard, more or less formal definition of mathematical proof. Rather, his question, as he puts it, ...

Proof in Mathematics Education

... Comparison of Balacheff and the preformalists' classifications of arguments..... 129 Table 23: Classification of arguments ...

ARGUMENTATION PROFILE CHARTS AS TOOLS FOR ANALYSING STUDENTS ...

(p. 3) Responding to Balacheff's views on argumentation and proof, Boero (1999) focuses on the distinction between 'proving' as a process, that is, argumentation, and 'proof' as a product.

Towards a research agenda: Using ICT in Mathematics Classrooms

This sort of computer use may 'enable a deeper, more direct mathematical experience' (Balacheff & Kaput, 1996 p 470). In the UK there is a statutory requirement for ICT to be used in mathematics teaching and learning at all levels; ...

THE MEANING OF PROOF IN MATHEMATICS EDUCATION David A Reid ...

At the Taipei International conference on "Mathematics: Understanding Proving and Proving to Understand" Nicholas Balacheff (2002/2004) ...