The Use of Worked Examples as a Substitute for Problem Solving in Learning Algebra

  title={The Use of Worked Examples as a Substitute for Problem Solving in Learning Algebra},
  author={John Sweller and Graham Cooper},
  journal={Cognition and Instruction},
The knowledge required to solve algebra manipulation problems and procedures designed to hasten knowledge acquisition were studied in a series of five experiments. It was hypothesized that, as occurs in other domains, algebra problem-solving skill requires a large number of schemas and that schema acquisition is retarded by conventional problem-solving search techniques. Experiment 1, using Year 9, Year 11, and university mathematics students, found that the more experienced students had a… 
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Control mechanisms in problem solving
It is suggested that altering a problem solver’s major source of information from a goal to feedback or vice versa will have important implications for the course of problem solving and what is learned during the solution process.
Some Examples of Cognitive Task Analysis with Instructional Implications
  • J. Greeno
  • Education
    Aptitude, Learning, and Instruction
  • 1979
Analysis of knowledge structures used to understand and solve problems in high school geometry and in primary-grade arithmetic word problems raises questions about relationships between students' learning of computational procedures and their understanding of general types of quantitative relationships.
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Effects of Goal Specificity on Means-Ends Analysis and Learning.
はじめに ▶ 変換問題(transformation problem) 初期状態 ゴール状態 オペレータのセット ▶ 主要なメカニズム means-ends analysis • ゴール状態と続く状態の差を分析 • 最も差を減らせるオペレータを選択する ▶ 解決がゴールから遠ざかることを必要とする問題の場合 補助的なメカニズム • サブゴール • 計画 ▶
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