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Visualizations of problem-posing activity sequences toward modeling the thinking process.

Ahmad Afif Supianto1,2, Yusuke Hayashi1, Tsukasa Hirashima1

  • 11Department of Information Engineering, Graduate School of Engineering, Hiroshima University, 1-4-1 Kagamiyama, Higashi-hiroshima, Hiroshima, 739-8527 Japan.

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Summary
This summary is machine-generated.

Visualizing problem-posing activities in MONSAKUN reveals "trap states" where learners struggle. Analyzing these sequences helps understand student thinking and improve arithmetic word problem learning.

Keywords:
Problem state spaceProblem-posing processVisualizations

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Area of Science:

  • Educational Technology
  • Cognitive Science
  • Mathematics Education

Background:

  • Problem-posing enhances problem-solving skills and understanding of problem structures.
  • The cognitive processes underlying problem-posing activities remain unclear.
  • Digital learning environments offer opportunities to study these processes.

Purpose of the Study:

  • To propose a method for visualizing problem-posing activity sequences.
  • To analyze learner thinking processes in arithmetic word problem creation using MONSAKUN.
  • To identify and understand 'trap states' that hinder learning.

Main Methods:

  • Utilizing MONSAKUN, a digital environment for arithmetic word problem posing via sentence integration.
  • Logging all user actions as sequences representing thinking processes.
  • Creating visualizations of these sequences to analyze learner difficulties.
  • Identifying 'trap states' as sentence combinations causing learner difficulties.

Main Results:

  • Visualizations successfully represented learners' problem-posing processes.
  • Specific 'trap states' were identified in the MONSAKUN environment.
  • These trap states varied across trials for the same problem, indicating dynamic learning challenges.

Conclusions:

  • Visualizing problem-posing sequences provides insights into learner cognition.
  • Identifying 'trap states' can inform instructional design and targeted interventions.
  • The MONSAKUN system offers a valuable tool for researching problem-posing and learning.