This second edition of the Handbook of International Research in Mathematics Education is
intended for those interested in international developments and future directions in …

Yehuda Rav's inspiring paper “Why do we prove theorems?” published in Philosophia
Mathematica (1999; 7: 5–41) has interesting implications for mathematics education. We …

The study discusses the development of theoretical ideas and constructs related to digital
microworlds within the mathematics education community and their implications for …

In this chapter, we address the notion of mathematical creativity by taking into account
specific research findings from contemporary literature. We do not attempt a summative …

Mathematical tasks are key ingredient to foster teachers and students' development and
construction of mathematical thinking. The use of distinct computational tools offers teachers …

The basic notion of a didactic triangle is explained with historical annotations on its origins
and subsequent theorization in the literature. Instances of its application to classroom …

In this paper we discuss topics that are relevant for designing a theory of mathematics
education. More precisely, they are elements of a pre-theory of mathematics education and …

In this paper we include topics which we consider are relevant building blocks to design a
theory of mathematics education. In doing so, we introduce a pretheory consisting of a set of …

In this chapter, we focus on how new technologies can be used with young children to
investigate mathematical ideas and concepts that would normally be introduced at a later …

In this paper, we document the results of the implementation of a series of activities related
to an optimisation problem. The objective is describing how the construction of mathematical …