International audienceThe notion of didactical engineering has influenced and characterized contemporary research in mathematics education in France to an important extent. In this paper, we address the following from an insider’s and an outsider’s perspective: (1) the way this notion is theoretically grounded, (2) the kinds of design research practices has it led to and is leading to, and (3) the way it relates to the design research paradigm. As a conclusion, we highlight similarities and differences between the two perspectives and recommend further discussions to the benefit of both didactical engineering from an insider’s and an outsider’s perspective
Our research is concerned with teacher's knowledge, and especially with teacher's processes of learning, in the classroom, from observing and interacting with students' work. In the first part of the paper, we outline the theoretical framework of our study and distinguish it from some other perspectives. We argue for the importance of distinguishing a kind of teacher's knowledge, which we call didactic knowledge. In this paper, we concentrate on a subcategory of this knowledge, namely observational didactic knowledge, which grows from teacher's observation and reflection upon students' mathematical activity in the classroom. In modeling the processes of evolution of this particular knowledge in teachers, we are inspired, among others, by some general aspects of the theory of didactic situations. In the second part of the paper, the model is applied in two case studies of teachers conducting ordinary lessons. In conclusion, we will discuss what seems to be taken into account by teachers as they observe students' activity, and how in-service teacher training can play a role in modifying their knowledge about students' ways of dealing with mathematical problems.KEY WORDS: case study, didactic knowledge, didactique of mathematics, ordinary mathematics lesson, theory of didactic situations, teacher's activity, teacher's knowledge Educational Studies in Mathematics (2005) 59: 205-234
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.