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Mimicry of proofs with computers: the case of Linear Algebra
Authors:Cinzia Bonotto  Milena Basso
Affiliation:1. Department of Education in Technology and Science Technion - Israel Institute of Technology Israel oritha@techunix.technion.ac.il;2. Faculty of Education Simon Fraser University 8888 University Drive Burnaby BC Canada V5A 1S6 zazkis@sfu.ca
Abstract:In common teaching practice the habit of connecting mathematics classroom activities with reality is still substantially delegated to wor(l)d problems. During recent decades, a growing body of empirical research has documented that the practice of word problem solving in school mathematics does not match this idea of mathematical modelling and mathematization. If we wish to construct ‘real problems arising from real experiences of the child’ following the spirit of these new suggestions, we have to make changes. On the one hand we have to replace the type of activity in which we delegate the process of creating an interplay between reality and mathematics by substituting the word problems with an activity of realistic mathematical modelling, i.e. of both real-world based and quantitatively constrained sense-making; and, on the other hand, to ask for a change in teacher beliefs; furthermore, a directed effort to change the classroom socio-math norms will be needed. This paper discusses some classroom activities that takes these factors into account.
Keywords:calculus of variations  flexible membrane  constrained maximum
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