In this paper, motivated by the desire to understand which forms of parent-initiated activity are productively implicated in young children's mathematics learning, we present a methodological critique of recent research. Many such studies, based on assumptions that parent-initiated activities can be categorised as formal or informal, direct or…

In this paper, a focus is made on defining processes at stake in an unfamiliar situation coming from discrete mathematics which brings surprising mathematical results. The epistemological framework of Lakatos is questioned and used for the design and the analysis of the situation. The cognitive background of Vergnaud's approach enriches the study…

The author surveys some aspects of both product evaluation and process investigation as they impinge on mathematics education and curriculum development. Discussion includes summative and formative evaluation, investigating the learning process, and problems inherent in both areas. (JG)

Teaching in general and teaching of mathematics in particular are matters of great importance for contemporary society. Over the years, societies have established institutions in order to incorporate mathematics and science into the culture of society with the clear intention of encouraging a scientific vision of the world among the population.…