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,…

The aim of this study was to reveal whether there were differences in the understanding of scientific models according to their conceptions of lunar phases. The participants were 252 10th grader in South Korea. They were asked to respond SUMS (Students Understanding of Models in Science) instrument and to draw and explain why the different lunar…

This paper addresses some methodological issues concerning traditional linear approaches and shows the need for a paradigm shift in education research towards the Complexity and Nonlinear Dynamical Systems (NDS) framework. It presents a quantitative piece of research aiming to test the nonlinear dynamical hypothesis in education. It applies…

There has been continued concern over the continued high dropout rate among Mexican origin youth. The purpose of this study is to understand how everyday experiences in school shape the content and meaning of Mexican origin students' social identities and how those social identities influence their academic trajectories over the transition to…

This study investigated their views concerning evidence and expert opinion of 10th-grade students, accessed by an open-ended questionnaire in the context of a socio-scientific issue: the cause of flood disasters, and personal epistemology identified by the "Learning Environment Preference Questionnaire" (LEP). Students' responses to the open-ended…

This document contains the second volume of the proceedings of the 29th Conference of the International Group for the Psychology of Mathematics Education. Conference papers are centered around the theme of "Learners and Learning Environments." This volume features 43 research reports by presenters with last names beginning between Adl…