Early algebraic thinking is the reasoning engaged in by 5-to 12-year-olds as they build
meaning for the objects and ways of thinking to be encountered within the later study of …

This survey of the state of the art on research in early algebra traces the evolution of a
relatively new field of research and teaching practice. With its focus on the younger student …

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 aim of this research is to characterize profiles of the teaching competence “noticing
students' mathematical thinking” in the context of the pattern generalization. Prospective …

La teoría de la objetivación (TO) es una teoría de enseñanza y aprendizaje inspirada en el
materialismo dialéctico y en la escuela de pensamiento de Vygotsky. Alejándose de las …

In this paper I sketch an embodied, cultural, and material conception of cognition and
discuss some of the implications for mathematics education. This approach, which I term …

One of the impacts of the COVID-19 pandemic has been restrictions on mobility and thus the
closure of schools. This has had consequences on the teaching strategies of primary …

Although proving is core to mathematics as a sense-making activity, it currently has a
marginal place in elementary classrooms internationally. Blending research with practical …

In this article, I focus on the methodology of a specific theory of teaching and learning: the
theory of objectification. Inspired by dialectical materialism and Vygotsky's psychology, the …