This talk will centre on a number of inadequacies that beset mathematics education in
present-day societies. In the author's view, the basic obstacles lie in–or can be expressed in …

This chapter addresses issues concerning epistemology, as they relate to mathematics and
education. It commences with an examination of some of the main epistemological …

During the last decade, a revaluation of proof and proving within mathematics curricula was
recommended; great emphasis was put on the need of developing proof-related skills since …

Is it possible to develop the content and form of mathematical education in such a way that it
may serve as a tool of democratization in both school and society? This question is related …

The historical analysis of mathematics teaching at secondary level shows the succession in
time of different school paradigms. The present paper describes and tries to analyse a new …

This paper firstly explores the issues raised in the literature concerning epistemologies,
beliefs and conceptions of mathematics and its teaching and learning. Secondly, it analyses …

Mathematics is generally considered as the only science where knowledge is uni form,
universal, and free from contradictions.„Mathematics is a social product-a'net of norms', as …

The notion and term of “theory” are essential in any discipline that perceives itself as
scholarly or scientific. Hence “theory” is also essential in mathematics education as a …

What theoretical bases underpin research and practice in mathematics education? For most
of the late 20th century, the theoretical underpinnings of mathematics education were …

During these last years, the history of mathematics has been increasingly used for teaching
purposes. One of the very well-known ways of doing so is to relate historical anecdotes to …