Deductive and Intuitive Approaches to Solving Geometrical Problems
نویسنده
چکیده
Approaches to the teaching and learning of a chosen topic in geometry can be located somewhere between what are sometimes perceived as two extremes. One such extreme is characterised as “intuitive”; the other as “formal” or “axiomatic”. There seems to be a number of ways of looking at the relationship between these two positions. Piaget ([6] p 225), for instance, appears to suggest a hierarchy when he writes:
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