The article deals with the geometric imagination in relation to intelligence tests. During an exploratory investigation of geometric imagination of pupils aged 15-18 years, a non-standardized test was created and evaluated, testing the partial and combinative abilities of students of this age group. The test consists of 40 tasks, and its evaluation process also contains a comparison of the results based on gender and mathematics mark.
A pilot study concerning rudimentary knowledge of triangles and spatial imagination is submitted to 7th-grade pupils of an elementary school and students of the same age at a grammar school. The theory is important but practical problems are more interesting for students. Problems in spatial imagination allow a teacher to specify the level of students' mathematical abilities. The aim of this pre-research is to compare knowledge of pupils of an elementary school and a grammar school.
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The contribution deals with selected options for development of space imagination of pupils as an important competence, which can support role of mathematics in development pupil’s personality. We talk about task, in which space imagination is implemented during mental manipulation, when pupil creates a solid from a net of solid in a playful manner.
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The contribution deals with demonstration of „Geometrical folder" in plane and space as a tool for pupil 's imagination development. The example of task in the plane is to fold step by step various plane patterns from a set of "universal" patterns as parts. Analogically, the example of task in space is to complete specified body from a set of various parts. Using this exercises I investigate a difference of a space imagination between boys and girls, and between younger and older students.
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