Special Article
Vol. 17 No. 4(II) (2014): Diciembre
REGISTERS AND STRATA IN MWS TO THE SERVICE OF FUNCTIONAL THINKING
Centro de Investigación y de Estudios Avanzados, Instituto Politécnico Nacional (Cinvestav-IPN)
Centro de Investigación y de Estudios Avanzados, Instituto Politécnico Nacional (Cinvestav-IPN)
Abstract
In this article we are interested on real functions of a real variable, from the perspective of Mathematical Working Spaces (MWS). In a first part of the study, we point out observations made at various levels of teaching, which may give credit to the hypothesis that knowing algebra is not sufficient for treatments which bring the functions into play. It needs a so called functional thought, that we precise in a second part. In a third part, we present the results of an exploratory workshop aimed for high school mathematics teachers, with the purpose of go deeply into our hypothesis. The specificity of the proposed study was that participants worked in groups, all of them considering the same mathematical situation, but each group using its own tool. Groups, characterized by the tools they used, were the following: “On foot” (paper - pencil), Spreadsheet, Calculator, Symbolic Calculus software, Dynamic Geometry software. Participants realized how the use of technological tools exerts influence on the resolution processes and the management of concepts
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