%0 Journal Article
%J ZDM Mathematics Education
%V 47
%N 2
%P 295-306
%A Abrahamson, D.
%A Trninic, D.
%T Bringing forth mathematical concepts: Signifying sensorimotor enactment in fields of promoted action
%D 2015
%U https://cepa.info/6129
%X Inspired by Enactivist philosophy yet in dialog with it, we ask what theory of embodied cognition might best serve in articulating implications of Enactivism for mathematics education. We offer a blend of Dynamical Systems Theory and Sociocultural Theory as an analytic lens on micro-processes of action-to-concept evolution. We also illustrate the methodological utility of design-research as an approach to such theory development. Building on constructs from ecological psychology, cultural anthropology, studies of motor-skill acquisition, and somatic awareness practices, we develop the notion of an “instrumented field of promoted action”. Children operating in this field first develop environmentally coupled motor-action coordinations. Next, we introduce into the field new artifacts. The children adopt the artifacts as frames of action and reference, yet in so doing they shift into disciplinary semiotic systems. We exemplify our thesis with two selected excerpts from our videography of Grade 4–6 volunteers participating in task-based clinical interviews centered on the Mathematical Imagery Trainer for Proportion. In particular, we present and analyze cases of either smooth or abrupt transformation in learners’ operatory schemes. We situate our design framework vis-à-vis seminal contributions to mathematics education research.
%G en
%2 Enactivism
%4 PDF
%5 ok
%0 Book Section
%E Stewart, J.
%E Gapenne, O.
%E Di Paolo, E. A.
%B Enaction: Toward a new paradigm for cognitive science.
%I MIT Press
%C Cambridge MA
%P 307-334
%A Núñez, R. E.
%T Enacting infinity: Bringing transfinite cardinals into being
%D 2010
%X Excerpt:I’ll eventually show that human everyday cognitive mechanisms, such as conceptual metaphor and blending – known to be major players in generating human imagination and abstraction – extend common sense in specific ways that bring mathematical infinity to being. The human mind enacts the infinite.
%G en
%5 ok