This paper focuses on the introduction of the concept of limit at secondary school level. Drawing on research on the role of metaphors, movement and perception in the construction of mathematical concepts, we developed an approach to the concept of limit which considers perceptive elements as a starting point. The students are required to construct and manipulate representations of functions in a graphic calculator environment (namely, the TI89). The transition from the register of graphical representations to the symbolic one takes place in two ways: through the re-elaboration of the language used by the students to describe their graphic manipulation of the functions and through the introduction of symbols which will support the algebraic manipulation to be done later on.

The transition from algebra to analysis: the use of metaphors in a graphic calculator environment / Maschietto, Michela. - STAMPA. - II:(2002), pp. 542-553. ((Intervento presentato al convegno Second conference of the European Society for Research in Mathematics Education tenutosi a Praga nel 24-27 febbraio 2001.

The transition from algebra to analysis: the use of metaphors in a graphic calculator environment

MASCHIETTO, Michela
2002

Abstract

This paper focuses on the introduction of the concept of limit at secondary school level. Drawing on research on the role of metaphors, movement and perception in the construction of mathematical concepts, we developed an approach to the concept of limit which considers perceptive elements as a starting point. The students are required to construct and manipulate representations of functions in a graphic calculator environment (namely, the TI89). The transition from the register of graphical representations to the symbolic one takes place in two ways: through the re-elaboration of the language used by the students to describe their graphic manipulation of the functions and through the introduction of symbols which will support the algebraic manipulation to be done later on.
Second conference of the European Society for Research in Mathematics Education
Praga
24-27 febbraio 2001
II
542
553
Maschietto, Michela
The transition from algebra to analysis: the use of metaphors in a graphic calculator environment / Maschietto, Michela. - STAMPA. - II:(2002), pp. 542-553. ((Intervento presentato al convegno Second conference of the European Society for Research in Mathematics Education tenutosi a Praga nel 24-27 febbraio 2001.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11380/420734
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