Proportional reasoning is a key topic both at school and in everyday life. However, students are often misled by their preconceptions regarding proportions. Our hypothesis is that these limitations can be mitigated by working on alternative ways of categorizing situations that enable more adequate inferences. Multiple categorization triggers…

The concept of measurement is fundamental in science. In order to be meaningful, the value of a measurement must be given with a certain level of uncertainty. In this paper we try to identify and develop the reasoning of young French pupils about measurement variability. In France, official instructions for elementary school thus argue for having…

Literature on relational reasoning mainly focuses on the performance question. It is typically argued that problem difficulty relies on the number of ''mental models'' compatible with the problem. However, no study has ever investigated the wording of conclusions that participants formulate. In the present work, we analyze the relational terms…

Examines problem-solving techniques used by students in French schools by testing 370 children in grades 6-9. Finds a high degree of variability in procedure selection among those tested. Results show the ability to use a standard procedure is sufficient for solving test problems. Recommends stressing cognitive flexibility. (NL)

Examines didactic interventions and claims their impact on pupil behavior aids the study of cognitive processes. Studies problem solving in teaching mathematics. Examines the functions of tutorial interventions in surface features and instability of representation. Finds tutorial interventions demonstrate a substantial increase in performance…