Mathematics content courses for prospective elementary teachers (PTs) should provide them with opportunities to deepen their understanding of and develop productive dispositions toward mathematics. Supporting mathematics teacher educators (MTEs) to learn how to develop practices that create rich learning opportunities for novice teachers comprises…

We study in this article mathematics teachers' "documentation work": looking for resources, selecting/designing mathematical tasks, planning their succession, managing available artifacts, etc. We consider that this documentation work is at the core of teachers' professional activity and professional development. We introduce a distinction between…

Draws from research studies on the introduction of symbolic systems on computers and calculators and considers 'new' techniques that accompany new technological instruments, their role in conceptualizing, and their links with 'usual' paper/pencil techniques as the key to analyzing the role of technology in education. This view implies non-obvious…

This paper outlines some theoretical categories (i.e. the "meso-", "topo-", "chrono-geneses," the "milieu," the didactical contract and the learning games), providing a "model" to study mathematics teacher's action. In order to show what this model brings to the didactical analysis, we present the…

The interplay among and connections between objects (structured or unstructured), images, language and symbols that lead to mathematical reasoning and the stating of mathematical propositions of very wide generality is well worth closer study. I believe that the subtle distinction between the way mathematical ideas are constructed from objects and…

This study investigates how four prospective teachers interpret and use textbooks while learning to teach mathematics during university coursework and practicum teaching. Results indicate that prospective teachers had varied approaches to using textbooks ranging from adherence, elaboration, and creation. Factors influencing how they engaged with…

This paper summarizes our analysis of the complexity of ratio problems at Grades 6 and 7, and reports a two-year experiment related to the teaching and learning of rational numbers and proportionality in these grades. Two classes were followed and observed. Part of the teaching material was common to both classes, mainly the objectives and the…

This paper reflects on the use of didactic material in mathematics classes. It focuses on the mathematical activities of students and the didactical activities of teachers. Its point of departure is a critique of technical-managerial approaches to teaching, learning, and innovation. Based on this critique, fundamental tensions between the…

Investigates the benefits and limitations of using pre-constructed, web-based, dynamic geometry sketches in activities related to deductive proof at the secondary school level. Focuses on the relationship between the design of materials and the exploration process. Draws attention to the idea that pre-constructed dynamic geometric sketches and…