This paper aims to discuss the use of material tools, called mathematical machines, and digital tools in approaching the Pythagorean theorem. These mathematical machines are related to different proofs of the theorem. Teaching experiments with 13-year old students were carried out within the laboratory approach developed from the theoretical frameworks of the Theory of Semiotic Mediation and Instrumental approach in mathematics education. Their analysis shows that behind the kinesthetic experience with the machines, there are important cognitive processes such as the identification of invariants, relationships between the components and usage schemes. It also shows the only manipulation of the first machine does not imply the emergence of the mathematical meanings embedded in the materials tools and the crucial role of the teacher with his different instrumental orchestrations in that process.

Classical and Digital Technologies for the Pythagorean Theorem / Maschietto, Michela. - (2018), pp. 203-225. [10.1007/978-3-319-76575-4_11]

Classical and Digital Technologies for the Pythagorean Theorem

Maschietto, Michela
2018

Abstract

This paper aims to discuss the use of material tools, called mathematical machines, and digital tools in approaching the Pythagorean theorem. These mathematical machines are related to different proofs of the theorem. Teaching experiments with 13-year old students were carried out within the laboratory approach developed from the theoretical frameworks of the Theory of Semiotic Mediation and Instrumental approach in mathematics education. Their analysis shows that behind the kinesthetic experience with the machines, there are important cognitive processes such as the identification of invariants, relationships between the components and usage schemes. It also shows the only manipulation of the first machine does not imply the emergence of the mathematical meanings embedded in the materials tools and the crucial role of the teacher with his different instrumental orchestrations in that process.
2018
Uses of Technology in Primary and Secondary Mathematics Education- ICME-13 Monographs.
L. Ball, P. Drijvers, S. Ladel, HS. Siller, M. Tabach, C. Vale
9783319765747
Springer International Publishing AG
SVIZZERA
Classical and Digital Technologies for the Pythagorean Theorem / Maschietto, Michela. - (2018), pp. 203-225. [10.1007/978-3-319-76575-4_11]
Maschietto, Michela
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11380/1161487
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