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The Enculturated Move From Proto-Arithmetic to Arithmetic.

Markus Pantsar1

  • 1Department of Philosophy, History and Art University of Helsinki, Helsinki, Finland.

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Summary
This summary is machine-generated.

This study explores how humans develop arithmetic skills, moving from basic quantity recognition to complex calculations. It proposes enculturation and neural reuse as key factors in this cognitive development.

Keywords:
arithmetical cognitioncumulative cultural evolutionenculturated cognitionphilosophy of mathematicsproto-arithmetic

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Area of Science:

  • Cognitive Science
  • Developmental Psychology
  • Philosophy of Mind

Background:

  • Human quantitative abilities are divided into proto-arithmetic (limited/approximate) and arithmetic (systematic/unbounded).
  • The transition from proto-arithmetic to arithmetic is not fully understood.
  • Existing theories may lack comprehensive developmental stages.

Purpose of the Study:

  • To investigate the theory of enculturation as an explanation for the development of arithmetic.
  • To propose enculturation based on neural reuse as a framework for cognitive development in mathematics.
  • To outline a multi-stage developmental account of arithmetical knowledge acquisition.

Main Methods:

  • Theoretical analysis of enculturation theory (Menary, 2015).
  • Examination of cognitive abilities like subitizing and estimation.
  • Development of a staged model for arithmetical knowledge acquisition.

Main Results:

  • Enculturation, particularly through neural reuse, offers a sound theoretical basis for the development of arithmetic.
  • A comprehensive explanation requires distinct theoretical stages in arithmetical development.
  • The proposed account integrates enculturation with a staged model for enhanced understanding.

Conclusions:

  • Enculturation provides a robust framework for understanding the cognitive shift to arithmetic.
  • A multi-stage developmental model is crucial for a complete explanation.
  • This research deepens the understanding of enculturation's role in mathematical cognition.