Abstract:

Geometry is one of the most important topic in the school mathematics and it is an integral part of the university study of future primary school teachers, too. According to our experiences, these students often have difficulties dealing with various geometric tasks. Our research is focused on the determining of relations between correct and incorrect students´ solutions of two geometric tasks. Each of the tasks consisted of five subtasks. Both tasks were related to the geometric figure in the picture and were also focused on the students´ competencies in reading from the picture. The first task was created with the focus on the students´ ability to correctly identify the geometric shapes in a composite geometric figure and count them. The second task was created to found out the ability of students to link the properties of different geometric shapes related to the picture. The research sample consisted of 59 Master students of Teacher Training for Primary Education at Constantine the Philosopher University in Nitra. The students finished their secondary school’s studies at the various types of schools with various mathematics curriculum, so they have different geometrical skills. The data was collected in February 2019. Qualitative and quantitative analysis were done in the research evaluation. The statistical implicative analysis methods, specifically C.H.I.C. statistical software (Classification Hiérarchique Implicative et Cohésitive) were used for deeper analysis of dependencies and relationships between stated didactical variables. One of the findings is, that there exist some relationships between students´ knowledge of the geometric shapes´ properties and the ability to determine their number in the composite figure. The students seemed to be the most unfamiliar with the triangles. They had a problem to identify or count all the triangles in the picture. The ability to solve the other geometric tasks was influenced by the ability to recognize and count all of the triangles.

Keywords:

Mathematics, geometric task, geometric shapes, solution analysis, statistical implicative analysis.