Linkages and other drawing instruments constitute one of the most effective fields of experience at secondary and university level to approach the theoretical dimension of mathematics. The main thesis of this paper is the following: By exploring, with suitable tasks and under the teacher's guidance, the field of experience of linkages and other drawing instruments, secondary and university students can 1) relive the making of theories in a paradigmatic case of the historical phenomenology of geometry; 2) generate 'new' (for the learners) pieces of mathematical knowledge by taking active part in the production of statements and the construction of proofs in a reference theory 3) assimilate strategies for exploration and representative tools (such as metaphors, gestures, drawings, and argumentations) that nurture the creative process of statement production and proof construction. This thesis will be defended by referring to research studies already published or in progress.

Drawing Instruments: Theories and Practices from History to Didactics / Bartolini, Maria Giuseppina. - In: DOCUMENTA MATHEMATICA. - ISSN 1431-0635. - STAMPA. - Extra Volume ICM98:(1998), pp. 735-746.

Drawing Instruments: Theories and Practices from History to Didactics

BARTOLINI, Maria Giuseppina
1998

Abstract

Linkages and other drawing instruments constitute one of the most effective fields of experience at secondary and university level to approach the theoretical dimension of mathematics. The main thesis of this paper is the following: By exploring, with suitable tasks and under the teacher's guidance, the field of experience of linkages and other drawing instruments, secondary and university students can 1) relive the making of theories in a paradigmatic case of the historical phenomenology of geometry; 2) generate 'new' (for the learners) pieces of mathematical knowledge by taking active part in the production of statements and the construction of proofs in a reference theory 3) assimilate strategies for exploration and representative tools (such as metaphors, gestures, drawings, and argumentations) that nurture the creative process of statement production and proof construction. This thesis will be defended by referring to research studies already published or in progress.
Extra Volume ICM98
735
746
Drawing Instruments: Theories and Practices from History to Didactics / Bartolini, Maria Giuseppina. - In: DOCUMENTA MATHEMATICA. - ISSN 1431-0635. - STAMPA. - Extra Volume ICM98:(1998), pp. 735-746.
Bartolini, Maria Giuseppina
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11380/449196
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