Quelques Erreurs Pouvant être Liées à Une Difficulté à Concevoir un Ensemble Comme un Objet Distinct De Ses éléments Chez Des étudiants Et Des étudiantes Universitaires |
| |
| Authors: | Kalifa Traoré Caroline Lajoie and Roberta Mura |
| |
| Institution: | (1) Université de Koudougou, Burkina Faso, Canada;(2) Université du Québec à Montréal, Montréal, Canada;(3) Université Laval, Sainte-Foy, Canada |
| |
| Abstract: | As a first step of a project on learning difficulties in elementary set theory, we carried out a study aimed at identifying
some of the difficulties encountered by a group of 21 mathematics majors taking a course on logic and set theory. In this
paper, we shall discuss one of the difficulties that we observed, namely a difficulty in conceiving a set as an object distinct
from its elements, i.e. failing to fully grant sets the status of objects. This difficulty may be related to the following
three types of errors that we observed in the students' first assignment: (1) confusing belonging and inclusion, (2) confusing
the union of sets A, B, C, ... with the set whose elements are A, B, C, … and (3) adding or deleting curly brackets. We shall present excerpts from the students' work illustrating these three
types of errors and explain how they may be related to a difficulty in conceiving a set as an object distinct from its elements. |
| |
| Keywords: | appartenance didactique des mathématiques de 1er cycle universitaire difficultés d'apprentissage éléments d'un ensemble inclusion modèles primitifs réunion sous-ensembles théorie des ensembles |
| 本文献已被 SpringerLink 等数据库收录！ |
|
