for the learning of mathematics

an international journal of mathematics education

Wolff-Michael Roth - Vol. 35 Num. 1 (2015)
 Excess of graphical thinking: movement, mathematics and flow


In most epistemologies, practical actions and speech are the consequences of thought. In this study, I provide three case studies of highly educated scientists producing aspects of graphs only to erase these as soon as they have been drawn. The case studies are consistent with an alternative approach, already formulated by L. S. Vygotsky and M. Merleau-Ponty that thought finds itself in speech. There is more in movement than any thought anticipated. An argument is made for an animate approach to mathematical thinking in movement.