According to our approach to mathematics education, the optimal aim of the teaching of mathematics is to assist students in achieving efficient mathematical work. But, what does efficient exactly mean in that case? And how can teachers reach this objective? The model of Mathematical Working Spaces with its three dimensions--semiotic, instrumental,…

This paper refers to the concept of semiotic and theoretic control describing resources to conduct decisions in epistemic processes. We consider an argumentation process from a complex problem-solving activity involving different conceptual frames related to parabolas. Using a micro-analytical interpretative lens, we will show that, in order to…

In high-school chemistry the pre-experimental phase of inquiry cycles often remains neglected. According to a procedural model, which is described in the text, this phase begins with an observation that stimulates students' prior factual knowledge, the formulation of a research question for further elaboration (epistemic questions), the…

Investigates the conceptual-change process in grade 10 students during a computer-supported physics unit. Finds that many students vacillated between alternative and scientific conceptions from one context to another during instruction, and those few students who did exhibit context-independent and stable conceptual change appeared able to accept…