This perspective article provides support for 4 interrelated tenets: grounded perceptual-
motor experience within cultural and social contexts forms cognition; exploration through …

This chapter presents the results of a longitudinal investigation on the emergence of
symbolic algebraic thinking in young students in the context of sequence generalization. The …

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 …

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 …

In this article I present some results from a 5-year longitudinal investigation with young
students about the genesis of embodied, non-symbolic algebraic thinking and its …

Cultural-historical activity theory—with historical roots in dialectical materialism and the
social psychology to which it has given rise—has experienced exponential growth in its …

The goal of this article is to present a sketch of what, following the German social theorist
Arnold Gehlen, may be termed “sensuous cognition.” The starting point of this alternative …

Eighty years ago, LS Vygotsky complained that psychology was misled in studying thought
independent of emotion. This situation has not significantly changed, as most learning …

Pattern generalization is considered one of the prominent routes for introducing students to
algebra. However, not all generalizations are algebraic. In the use of pattern generalization …

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 …