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1994 Book DidacticsOfMathematicsAsAScien

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ECLECTIC APPROACHES TO ELEMENTARIZATION
Nonetheless, while the creative process of forming an engaging mathe-
matics curriculum cannot be reduced to algorithmic application of scientific
principles, it seems clear that the creative process is immeasurably enhanced
by consideration of insights from analysis of alternative ways to develop
mathematical ideas, from studies of conditions that facilitate human learn-
ing, and from studies of alternative classroom instructional strategies. Even
the implementation of new curricula can be eased by thoughtful considera-
tion of the contextual factors that have been shown to influence acceptance
of other innovations.


DIDACTICAL ENGINEERING AS A FRAMEWORK FOR
THE CONCEPTION OF TEACHING PRODUCTS
Michèle Artigue
Paris / Reims
1. INTRODUCTION
In French research on didactics of mathematics, the issue of preparing
mathematics for students, which is the topic of this chapter, is located at a
crossroads between two not independent but nonetheless distinct theoretical
fields: the theory of didactical transposition, developed since the beginning
of the 1980s by Y. Chevallard (Chevallard, 1991, 1992), and the theory of

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