EnglishThis 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.
Chapter 11. Classical and Digital Technologies for the Pythagorean Theorem / Maschietto, Michela. - (2018), pp. 203-225. [10.1007/978-3-319-76575-4_11]
| Data di pubblicazione: | 2018 | |
| Titolo: | Chapter 11. Classical and Digital Technologies for the Pythagorean Theorem | |
| Autore/i: | Maschietto, Michela | |
| Autore/i UNIMORE: | ||
| Digital Object Identifier (DOI): | http://dx.doi.org/10.1007/978-3-319-76575-4_11 | |
| Codice identificativo ISI: | WOS:000446998300011 | |
| Serie: | ICME-13 MONOGRAPHS | |
| Titolo del libro: | Uses of Technology in Primary and Secondary Mathematics Education- ICME-13 Monographs. | |
| A cura di: | L. Ball, P. Drijvers, S. Ladel, HS. Siller, M. Tabach, C. Vale | |
| ISBN: | 9783319765747 | |
| Editore: | Springer International Publishing AG | |
| Nazione editore: | SVIZZERA | |
| Citazione: | Chapter 11. Classical and Digital Technologies for the Pythagorean Theorem / Maschietto, Michela. - (2018), pp. 203-225. [10.1007/978-3-319-76575-4_11] | |
| Tipologia | Capitolo/Saggio |
File in questo prodotto:
| File | Descrizione | Tipologia | |
|---|---|---|---|
| Maschietto_ICME13Monographs_2018_.pdf | Versione dell'editore (versione pubblicata) | Administrator Richiedi una copia |
Pubblicazioni consigliate
I metadati presenti in IRIS UNIMORE sono rilasciati con licenza Creative Commons CC0 1.0 Universal, mentre i file delle pubblicazioni sono rilasciati con licenza Attribuzione 4.0 Internazionale (CC BY 4.0), salvo diversa indicazione.
In caso di violazione di copyright, contattare Supporto Iris
Copyright © 2022