Introduction to the Didactics of Mathematics

Abstract

This book has been designed with a specific purpose : to serve as a practical and straightforward guide, a collection of solved exercises with course summaries, intended for third-year undergraduate mathematics students studying the Didactics module. It contains the essential concepts of the course, illustrated with examples, while adhering to the curriculum set by the ministry. It is by no means a substitute for a complete theoretical course; rather, it is meant to accompany it progressively to ensure a better understanding and assimilation of the material. A variety of application exercises of different difficulty levels are provided at the end of each chapter to clarify the reasoning involved, allowing students to test their knowledge and prepare for exams and final assessments. The result of many years of teaching, this work, while remaining modest, is divided into four chapters, with content and order following the framework established by the ministry. It also stems from the observation of the difficulties students face when approaching mathematics at the undergraduate level, which can be summarized as follows : — Difficulty in understanding a given problem statement; — Difficulty in formulating and structuring logical reasoning; — Difficulty in applying a methodical approach and identifying underlying ideas.