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.
Quadrilaterals are more difficult than triangles for some students of elementary schools. This pilot study compares knowledge of quadrilateral of pupils of elementary schools and pupils of the same age at grammar schools. Some students prefer algebra to geometry, because it includes practical problems. The aim of this pre-research is to find out differences in knowledge of quadrilaterals between pupils of elementary and grammar schools.
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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