An ontology of off-task behavior in a number activity: The body, space-time, and mathematics

Abstract

This article aims to interrogate the Cartesian rationality determining current early childhood mathematics by highlighting the irrational aspect of mathematics learning, which is usually underemphasized and even devalued by the dominant discourse. Using Deleuze and Guattari’s concept of refrain as the method, the article explores the unfolding emergence of a child’s off-task behavior in a number activity as it conceptualizes the child’s body in relation to its surroundings. The article also explores how this conceptualization of off-task behavior helps to rethink mathematical ability and conceptual construction in responding to and elaborating on research on embodied mathematics. Based on these explorations, the article hopes to contribute a strategy for the vision of adopting a more democratic manner in mathematics learning.