History and epistemology in mathematics education: proceedings of the 5th European Summer University. Historical Modules for the Teaching and Learning of Mathematics. p. 261-270.

(Modules historiques pour l'enseignement des mathématiques.)

Une version texte intégral est en téléchargement sur le site Bibliothèque numérique des IREM et de l’APMEP  Télécharger 

Auteur : Katz Victor

Résumé

Cet article présente un e-Book vendu par la MAA (Mathematical Association of America) avec la table des matières et des commentaires détaillés sur deux exemples d’activités extraites de ces modules (mais les textes sources ne sont pas reproduits) :
– « le travail d’un abaciste italien » (14e siècle, utilisation de nombres négatifs) ;
– « le pari du Chevalier de Méré » (17e siècle, probabilités)

Abstract

The CD entitled Historical Modules for the Teaching and Learning of Mathematics was developed to demonstrate to secondary teachers how to use material from the history of mathematics in teaching numerous topics from the secondary curriculum. Developed by secondary and college teachers working together, this CD contains eleven modules dealing with historical ideas directly usable in the secondary classroom. The modules are in Trigonometry; Exponentials and Logarithms; Functions; Geometric Proof; Lengths, Areas, and Volumes; Negative Numbers; Combinatorics; Statistics; Linear Equations; Polynomials; and a special module on the work of Archimedes. Each module
contains numerous activities designed to be used in class with minimal further preparation from the teachers. A given activity contains instructions to the teacher as well as pages for distribution to the students. The teacher instructions discuss the rationale for the activity, its placement in a class, the
necessary time frame (which may be as short as fifteen minutes or as long as two weeks), and the materials needed. They also contain historical background, masters for making transparencies, and, if necessary, answers to student exercises. The student pages may discuss the historical background
of the particular topic, lead the students through the historical development, provide exercises and additional enrichment activities, and provide pictures and biographical sketches of mathematicians.

They also provide references for further study, including both print and electronic material.

In the proposed workshop, the project director will discuss the CD with its wealth of materials and lead the participants through selected activities. These activities will include some that can be
used at the beginning of secondary school, such as material on measurement in ancient societies, some that are appropriate for standard secondary courses, such as ideas on solving quadratic and cubic equations, and some that are suitable for advanced secondary or beginning university students,
such as the development of the power series for the exponential function. The director will also lead a discussion on the rationale for using historical materials in class as well as on the varied ways teachers can use the materials on the CD. In addition, he will discuss some results based on work with material in these modules with teachers and students in various settings. Each workshop
participant will receive a copy of the CD for use in his/her own classes.

Notes

Chapitre des Actes de la cinquième université d’été (ESU 5).

Données de publication

Éditeur Vydavatelsky Press Prague , 2008 Format 14,8 cm x 21 cm, p. 261-270

ISBN 80-86843-19-X EAN 9788086843193

Public visé chercheur, enseignant, formateur

Type chapitre d’un ouvrage Langue anglais Support papier

Classification