Exposing Piaget's scheme: Empirical evidence for the ontogenesis of coordination in learning a mathematical concept

Research output: Other contributionAcademic

Abstract

The combination of two methodological resources-natural-user interfaces (NUI) and multimodal learning analytics (MMLA)-is creating opportunities for educational researchers to empirically evaluate seminal models for the hypothetical emergence of concepts from situated sensorimotor activity. 76 participants (9-14 yo) solved tablet-based non-symbolic manipulation tasks designed to foster grounded meanings for the mathematical concept of proportional equivalence. Data gathered in task-based semi-structured clinical interviews included action logging, eye-gaze tracking, and videography. Successful task performance coincided with spontaneous appearance of stable dynamical gaze-path patterns soon followed by multimodal articulation of strategy. Significantly, gaze patterns included uncued non-salient screen locations. We present cumulative results to argue that these 'attentional anchors' mediated participants' problem solving. We interpret the findings as enabling us to revisit, support, refine, and elaborate on central claims of Piaget's theory of genetic epistemology and in particular his insistence on the role of situated motor-action coordination in the process of reflective abstraction.
Original languageEnglish
Number of pages8
Publication statusPublished - 1 Jan 2016
Externally publishedYes

Keywords

  • Attentional anchor
  • Coordination
  • Eye-tracking
  • Genetic epistemology
  • NUI
  • Proportion

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