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Young children 'solve for x' using the Approximate Number System.

Melissa M Kibbe1, Lisa Feigenson

  • 1Department of Psychological & Brain Sciences, Johns Hopkins University, USA.

Developmental Science
|March 5, 2014
PubMed
Summary
This summary is machine-generated.

Young children can solve for unknown addends using their Approximate Number System (ANS) when problems are presented non-symbolically. This intuitive problem-solving ability emerges before formal education, demonstrating early mathematical reasoning skills.

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Area of Science:

  • Cognitive Development
  • Mathematical Cognition
  • Psychology

Background:

  • The Approximate Number System (ANS) underpins early arithmetic skills.
  • The capacity of the ANS to support complex algebraic concepts like unknown addends is not well understood.
  • Addend-unknown problems are challenging for children, persisting into higher education.

Purpose of the Study:

  • To investigate whether 4-6-year-old children can solve for an unknown addend using the ANS.
  • To determine if ANS-based problem-solving differs between symbolic and non-symbolic presentations.

Main Methods:

  • Children aged 4-6 years were presented with addend-unknown problems.
  • Problems were administered in two formats: symbolically (numerals, number words) and non-symbolically (object arrays).
  • Verbal counting was inhibited during non-symbolic tasks.

Main Results:

  • Children were unable to solve for the unknown addend in symbolic problem formats.
  • Children successfully solved for the unknown addend when problems were presented non-symbolically.
  • Performance suggests reliance on the ANS for non-symbolic problem-solving.

Conclusions:

  • The ANS enables young children to intuitively solve for unknown addends before formal instruction.
  • Non-symbolic representations facilitate early algebraic reasoning via the ANS.
  • Findings highlight the ANS as a foundation for more complex mathematical understanding.