Mathematical problem-solving by high-achieving students: Interaction of mathematical abilities and the role of the mathematical memory
Résumé
The present study deals with the interaction of mathematical abilities and the role of the mathematical memory in the problem-solving process. To examine those phenomena, the study investigates the behaviour of high-achieving students from secondary school when solving new and challenging problems. Although the mathematical memory accounts for a small part of the problem-solving process, it has a critical role in the choice of problem-solving methods. The study shows that if the initially selected methods do not lead to the desired outcome, the students find it very difficult to modify them. The study also shows that students who use algebraic problem-solving methods perform better than those who use numerical methods.
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