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Creative Mathematical Reasoning: Does Need for Cognition Matter?

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Summary
This summary is machine-generated.

Creative mathematical reasoning (CMR) enhances math performance by fostering conceptual understanding. Intrinsic motivation, specifically Need for Cognition (NFC), significantly boosts performance in CMR, while working memory capacity (WMC) is crucial for both methods.

Keywords:
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Area of Science:

  • Cognitive Psychology
  • Mathematics Education

Background:

  • Traditional math education often relies on rote learning, hindering deep conceptual understanding.
  • Creative Mathematical Reasoning (CMR) is proposed as an alternative to enhance problem-solving skills.
  • The role of intrinsic cognitive motivation in CMR effectiveness remains under-explored.

Purpose of the Study:

  • To investigate the impact of intrinsic cognitive motivation, specifically Need for Cognition (NFC), on mathematical performance.
  • To examine the influence of working memory capacity (WMC) on performance in CMR and Algorithmic Reasoning (AR) tasks.
  • To compare the effectiveness of CMR versus AR in enhancing mathematical problem-solving skills.

Main Methods:

  • Two independent groups of upper secondary students (N=137) engaged in non-routine problem-solving using either CMR or AR tasks.
  • Need for Cognition (NFC) and Working Memory Capacity (WMC) were assessed as potential moderators.
  • Performance was evaluated one week after the intervention using t-tests and structural equation modeling.

Main Results:

  • The CMR group demonstrated superior performance compared to the AR group.
  • NFC significantly predicted math performance within the CMR group, but not the AR group.
  • WMC was a strong predictor of math performance across both groups, independent of the reasoning method.

Conclusions:

  • Encouraging students to construct their own solutions via CMR can enhance conceptual understanding and problem-solving abilities.
  • Intrinsic motivation (NFC) plays a key role in the success of CMR, highlighting the importance of student engagement.
  • WMC is a fundamental cognitive resource supporting mathematical performance regardless of the reasoning approach employed.