The paper concerns the analysis of the role of artefacts and instruments in approaching calculus by graphic-symbolic calculator at high school level. We focus on an element of the introduction of calculus: the global/local game. We discus the hypothesis that the zoom-controls of calculator support the production of gestures and metaphors that foster the shift from a global to a local point of view. The analysis of protocols confirms that the exploration of several functions through the zooming process was supported by gestures and language. They appeared during the zooming process and in pupils’ answers to the tests when the calculator was no more available and when the task concerned mathematical objects.
The introduction of calculus in 12th grade: the role of artefacts / Maschietto, Michela. - In: PROCEEDINGS OF THE PME CONFERENCE. - ISSN 0771-100X. - STAMPA. - 3:(2004), pp. 273-280. (Intervento presentato al convegno 28 th Conference of the International Group for the Psychology of Mathematics Education tenutosi a Bergen nel 14 - 18 luglio 2004).
The introduction of calculus in 12th grade: the role of artefacts
MASCHIETTO, Michela
2004
Abstract
The paper concerns the analysis of the role of artefacts and instruments in approaching calculus by graphic-symbolic calculator at high school level. We focus on an element of the introduction of calculus: the global/local game. We discus the hypothesis that the zoom-controls of calculator support the production of gestures and metaphors that foster the shift from a global to a local point of view. The analysis of protocols confirms that the exploration of several functions through the zooming process was supported by gestures and language. They appeared during the zooming process and in pupils’ answers to the tests when the calculator was no more available and when the task concerned mathematical objects.
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