A mathematical and didactical analysis of the concept of orientation
Eszter Kónya
Abstract
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Eszter Kónya
Abstract
Open-access reader
The development of spatial ability, in particular the development of spatial orientation is one of the aims of mathematics education. In my work, I examine the concept of orientation, especially concepts of between, left, right, below, above, front, back, clockwise and anticlockwise. I analyze answers given for a simple orientation task prepared for elementary school pupils. I would like to call attention to the difficulties pupils have even in case of solving simple orientation problems. We have different ways to know more about the crucial points of a concept, especially of the concept of orientation. In this study I bring out one of them. I analyze and make some didactical conclusions about the origin and the axiomatic structure of orientation.
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The development of spatial ability, in particular the development of spatial orientation is one of the aims of mathematics education. In my work, I examine the concept of orientation, especially concepts of between, left, right, below, above, front, back, clockwise and anticlockwise. I analyze answers given for a simple orientation task prepared for elementary school pupils. I would like to call attention to the difficulties pupils have even in case of solving simple orientation problems. We have different ways to know more about the crucial points of a concept, especially of the concept of orientation. In this study I bring out one of them. I analyze and make some didactical conclusions about the origin and the axiomatic structure of orientation.
Key concepts: Orientation (vector space), Computer science, Human–computer interaction, Mathematics education, Mathematics, Geometry