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Ability to see in geometry or a geometric eye

Publication at Faculty of Mathematics and Physics, Faculty of Education |
2010

Abstract

The article deals with a special type of mathematical problems which we call (geometric) problems effectively solvable by insight (or PSI problems). The PSI problems have a quick geometric solution, nevertheless, pupils often attempt a much more complicated or even impossible algebraic solution.

The text presents a theoretical framework (seeing in geometry, geometric eye, insight, schema) and results of some related research. The methodology of our research is briefly described and preliminary results of the pilot study discussed.