Investigating the Misconceptions of 15-Year-Old Pupils when Solving Geometric Problems at Different Levels of Mathematical Competences
Investigating the Misconceptions of 15-Year-Old Pupils when Solving Geometric Problems at Different Levels of Mathematical Competences

Summary/Abstract: OECD´s Programme for International Student Assessment (PISA) describes mathematical competencies on three levels – reproduction, connection and reflection. This article presents the research results of creating and analyzing solutions to geometric problems at three different competence levels. The most common misconceptions when solving these problems were identified. At the same time, the connection of geometric knowledge among pupils at the end of primary education in Slovakia with the solution of more complex problems were investigating. The research results show that with increasing difficulty of the problems, the percentage of incorrectly solved problems increases, and pupils are more likely not even to start solving the problem. The qualitative analysis of the problem solutions shows that pupils have significant problems connecting geometric knowledge and solving more complex problems at the level of reflection.

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