The nature of mathematical objects, their various types, the way in which they are formed,
and how they participate in mathematical activity are all questions of interest for philosophy …

It has long been an aim of mine that school students should be introduced to authentic
mathematical activity such as is practised by professional mathematicians, and those forms …

Background Much of the power of mathematics comes from one being able to both construct
and work with its ideas in ways which are not dependent on physical contexts, are general …

In this paper we study the mathematical body as an assemblage of human and non-human
mathematical concepts. We argue that learners' bodies are always in the process of …

The specific aim of mathematics education as a research field is to study the factors that
affect the teaching and learning of mathematics and to develop programs to improve the …

This paper describes the widespread public image of mathematics as cold, abstract and
inhuman, and relates it to absolutist philosophies of mathematics. It is argued that this image …

The Theory of Objectification: A Vygotskian Perspective on Knowing and Becoming in
Mathematics Teaching and Learning presents a new educational theory in which learning is …

Mathematics Education Research Centre University of Warwick, UK For several years I have
been working with Eddie Gray and others on the ways in which we conceptualize different …

In this article, I introduce a typology of forms of algebraic thinking. In the first part, I argue that
the form and generality of algebraic thinking are characterised by the mathematical problem …

A review of literature shows that during the history of mathematics education at school the
answer of what counts as 'real mathematics' varies. An argument will be given here that …