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Related Experiment Videos

Selecting analogous problems: similarity versus inclusiveness.

S K Reed1, C C Ackinclose, A A Voss

  • 1Department of Psychology, San Diego State University, CA 92182.

Memory & Cognition
|January 1, 1990
PubMed
Summary
This summary is machine-generated.

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Students struggle to identify effective analogous problems for solving algebra word problems, often choosing based on perceived similarity rather than true inclusiveness. This deficiency impacts their problem-solving performance.

Area of Science:

  • Cognitive Psychology
  • Educational Psychology
  • Mathematics Education

Background:

  • Effective problem-solving often relies on identifying and utilizing analogous problems.
  • Students' ability to select appropriate analogies is crucial for transferring knowledge and improving performance in mathematics.

Purpose of the Study:

  • To investigate students' strategies for selecting analogous problems in algebra word problem-solving.
  • To determine whether students prioritize perceived similarity or problem inclusiveness when choosing analogies.
  • To assess the impact of analogy selection on subsequent problem-solving success.

Main Methods:

  • Four experiments were conducted involving students solving algebra word problems.
  • Participants judged problem complexity and similarity, selected analogous problems, and used provided solutions.

Related Experiment Videos

  • Manipulations included problem inclusiveness, isomorphism, exposure to analogous solutions, and mathematics major status.
  • Main Results:

    • Students performed better when given more inclusive analogous solutions but selected problems based on perceived similarity, not inclusiveness.
    • This pattern persisted when isomorphic problems replaced more inclusive ones.
    • Students showed a general deficiency in selecting optimal analogies.

    Conclusions:

    • Students exhibit a deficit in identifying truly beneficial analogies for mathematical problem-solving.
    • Perceived similarity is a more dominant selection criterion than actual problem inclusiveness or isomorphism.
    • Interventions may be needed to improve students' analogical reasoning skills in mathematics.