Proceedings of the National Academy of Sciences · 1996 · 25 citations · 1 references
EducationMathematicsMathematics EducationMathematics InstructionProblem-based LearningSecondary Mathematics EducationConcept FormationLearning ActivitiesPractice ActivitiesProblem-solving StrategiesTransfer Of LearningCognitive Learning ProcessesCue RecognitionExample-based LearningLearning By Problem SolvingPhysics Problem-based LearningProblem-based Learning In MathematicsWorked Examples In Mathematics
This paper describes the processes used by students to learn from worked-out examples and by working through problems. Evidence is derived from protocols of students learning secondary school mathematics and physics. The students acquired knowledge from the examples in the form of productions (condition-->action): first discovering conditions under which the actions are appropriate and then elaborating the conditions to enhance efficiency. Students devoted most of their attention to the condition side of the productions. Subsequently, they generalized the productions for broader application and acquired specialized productions for special problem classes.
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The theory of learning by doing.
Yuichiro Anzai, Herbert A. Simon · PubMed · 1979 · 609 citations