Hypertexts as educational systems: Pedagogical issues in teaching and learning mathematical problem solving
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The aim of this paper is to present some research results on the relationship between new technologies (such as hypermedia systems) and learning; in particular we consider the case of learning how to solve calculus problems.
In the first part we try to highlight the conceptual bases of the research and its specific goals: the choice, or better the hypothesis, of a sequence of behaviors which express the mental states and which allow the reasoning about calculus problems or, more in general, about problem solving in mathematics. Then we realize the need of making the students aware of their learning processes through procedures that are proper to the metacognition. Finally we try to show how Hypercalculus, the hypermedia system for learning calculus we designed, and which is currently under test by a large number of students of the first year of a master degree in engineering at Politecnico di Torino, can be considered as an example of a computer aided learning tool.
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