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  • Graphical representations in solving geometric problems
    Klančar, Andreja ; Žakelj, Amalija
    Diagnostic knowledge testing is intended to determine the level of pupils’ prior knowledge, possible gaps in prior knowledge and guidelines for further teaching. Before considering the area and ... perimeter of triangles and quadrilaterals in the 7th grade of primary school, the research helped us determine the level of pupils’ knowledge about the perimeter of polygons and the area of rectangles and squares at the level of conceptual, procedural and problem knowledge, and what is the role of graphical representations (GR) in choosing appropriate tasks solving strategy and in solving geometric tasks from the point of view of pupils’ achievements. The results of the empirical part of the research showed very similar achievements of conceptual and procedural knowledge: conceptual knowledge (M = 0.51, SD = 0.22) and procedural knowledge (M = 0.52, SD = 0.22). Significantly lower achievements were recorded in problem solving (M = 0.37, SD = 0.26). Pupils’ achievements were statistically significantly higher in the tasks with graphical representations (GR) compared to the tasks without graphical representations. With a qualitative analysis of achievements, we discovered that pupils at the beginning of the 7th grade still have incomplete conceptual ideas about the perimeter of polygons and the area of rectangles and squares. Problems are also identified in the recording of procedures for calculating the area and the perimeter. In visualization, we observe neuralgic points in the analysis of the relationships between geometric objects in the picture, in independent creation of the picture and in differentiating between a picture or sketch and a construction. Graphical representation (GR) can help a pupil visualize a problem only if his/her conceptual and procedural knowledge is sufficient.
    Vir: Selected topics in the didactics of mathematics (str. 27-52)
    Vrsta gradiva - članek, sestavni del ; neleposlovje za odrasle
    Leto - 2023
    Jezik - angleški
    COBISS.SI-ID - 137815555

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