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Related Experiment Videos

The effects of cumulative practice on mathematics problem solving.

Kristin H Mayfield1, Philip N Chase

  • 1West Virginia University, Morgantown 26506-6040, USA.

Journal of Applied Behavior Analysis
|July 10, 2002
PubMed
Summary

Cumulative practice, which mixes previously learned algebra rules, significantly improved college students' ability to solve problems and apply concepts. This method enhanced both accuracy and speed in problem-solving tasks.

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Area of Science:

  • Cognitive Psychology
  • Educational Psychology
  • Mathematics Education

Background:

  • Effective teaching strategies are crucial for mastering foundational algebra.
  • Understanding how different practice methods impact learning is key to improving educational outcomes.
  • Problem-solving skills in algebra require both rule application and synthesis of knowledge.

Purpose of the Study:

  • To compare the effectiveness of three distinct practice methods in teaching basic algebra rules.
  • To determine which practice method best enhances both rule application and complex problem-solving.
  • To assess the impact of practice type on the speed of problem-solving.

Main Methods:

  • College students were taught five basic algebra rules using consistent procedures.

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  • Three groups received different review session formats: cumulative, simple, or extra practice.
  • Assessments included application items and novel problem-solving items after each review session.

    • Main Results:

    • The cumulative practice group significantly outperformed other groups on both application and problem-solving items.
    • Students in the cumulative practice group solved problems significantly faster than those in other groups.
    • Cumulative practice demonstrated superior efficacy in training algebraic problem-solving skills.

    Conclusions:

    • Cumulative practice, integrating previously learned skills, is a highly effective teaching method for algebra.
    • This approach enhances not only the understanding of individual rules but also the ability to solve complex problems.
    • Educational interventions should consider incorporating cumulative practice for improved learning outcomes.