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Burton, Leone – For the Learning of Mathematics, 1999
Follows up in more detail a previous interview-based study in which were outlined some features of a mathematicians' views and research practices on what interviewees had to say about the topic of intuition. Concludes that intuition, insight, or instinct was seen by most of the 70 mathematicians interviewed as a necessary component for developing…
Descriptors: Attitudes, Elementary Secondary Education, Intuition, Learning
Peer reviewed Peer reviewed
Avital, Shmuel; Barbeau, Edward J. – For the Learning of Mathematics, 1991
Presents 13 examples in which the intuitive approach to solve the problem is often misleading. Presents analysis of these problems for five different sources of misleading intuitive generators: lack of analysis, unbalanced perception, improper analogy, improper generalization, and misuse of symmetry. (MDH)
Descriptors: Cognitive Development, Cognitive Processes, Generalization, Geometric Concepts