Why do gestures matter? Sensuous cognition and the palpability of mathematical meanings

L Radford - Educational studies in mathematics, 2009 - Springer
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 …

The role of gestures in the mathematical practices of those who do not see with their eyes

L Healy, SHAA Fernandes - Educational Studies in Mathematics, 2011 - Springer
In this paper, we aim to contribute to the discussion of the role of the human body and of the
concrete artefacts and signs created by humankind in the constitution of meanings for …

Towards an embodied, cultural, and material conception of mathematics cognition

L Radford - ZDM, 2014 - Springer
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 …

On Embodiment, Artifacts, and Signs: A Semiotic-Cultural Perspective on Mathematical Thinking.

L Radford, C Bardini, C Sabena, P Diallo… - International Group for …, 2005 - ERIC
The cognitive significance of the body has become one of the major topics in current
psychology. However, it is our contention that claims about the embodied nature of thinking …

A semiotic perspective of mathematical activity: The case of number

P Ernest - Educational studies in mathematics, 2006 - Springer
A semiotic perspective on mathematical activity provides a way of conceptualizing the
teaching and learning of mathematics that transcends and encompasses both psychological …

The seen, the spoken and the written: A semiotic approach to the problem of objectification of mathematical knowledge

L Radford - For the learning of mathematics, 2002 - JSTOR
Theo, what a great thing tone and colour are. And those who fail to learn to have feelings for
them will remain far removed from real life. M [auve] has taught me to see so many things …

[PDF][PDF] Mathematics in the middle: Measure, picture, gesture, sign, and word

JL Lemke - Educational perspectives on mathematics as semiosis …, 2003 - researchgate.net
Lemke 2 how natural language, mathematics, and visual representations form a single
unified system for meaning-making. I begin by asking what sort of semiotic beast …

The question of method in a Vygotskian semiotic approach

L Radford, C Sabena - Approaches to qualitative research in mathematics …, 2015 - Springer
In this chapter we present the main ideas of an educational Vygotskian semiotic approach,
emphasizing in particular some crucial questions about its methods of inquiry. We resort, on …

Diagram, gesture, agency: Theorizing embodiment in the mathematics classroom

E De Freitas, N Sinclair - Educational Studies in Mathematics, 2012 - Springer
In this paper, we use the work of philosopher Gilles Châtelet to rethink the gesture/diagram
relationship and to explore the ways mathematical agency is constituted through it. We …

Reconstruction of meaning as a didactical task: The concept of function as an example

R Biehler - Meaning in mathematics education, 2005 - Springer
The meaning of a mathematical concept differs in different contexts. We can find different
practices related to the same mathematical concept, such as the concept of function …