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Approach to geometry teaching according to van Hiele in the second triad of elementary school

Maja Škrbec (2013) Approach to geometry teaching according to van Hiele in the second triad of elementary school. PhD thesis.

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    Abstract

    Geometry is an abstract science where the relations between the concepts are controlled through appropriate use of language. Dutch mathematician Pierre M. van Hiele developed a theory how to determine a level of geometric thinking of an individual on the basis of solving geometrical problem. Dina van Hiele-Geldof was working on how to develop a higher level of geometric thinking. In our research we determined that the teachers are not familiar with the theory of van Hiele and that they have a positive attitude towards the content of geometry. We also found out that there are big differences how teachers teach geometry concepts. Because in Slovenia there wasn’t made any significant research dealing with levels of geometric thinking of pupils in elementary school we decided to research this problem. We found out that the minority of the pupils of the second triad are between the 0 and the first level or on the first level of geometric thinking. According to the whole test only 2 % of children were on the second level of geometric thinking. Using appropriate vocabulary was the biggest problem the pupils had. That is why we decided to develop a teaching approach for accelerating transition to higher level of geometrical thinking. The teaching approach has proven to be successful. It was based on using different didactic material, concrete experience and it encourage pupils to use appropriate geometric vocabulary. Among other things we created numerous games. Pupils liked to play with these games.

    Item Type: Thesis (PhD thesis)
    Keywords: geometry, geometric shapes, levels of geometric thinking, van Hiele, teaching geometry, teaching approach
    Number of Pages: 262
    Language of Content: Slovenian
    Mentor / Comentors:
    Mentor / ComentorsIDFunction
    izr. prof. dr. Tatjana Hodnik ČadežMentor
    Link to COBISS: http://www.cobiss.si/scripts/cobiss?command=search&base=50126&select=(ID=9654601)
    Institution: University of Ljubljana
    Department: Faculty of Education
    Item ID: 1538
    Date Deposited: 20 Jun 2013 07:47
    Last Modified: 20 Jun 2013 07:47
    URI: http://pefprints.pef.uni-lj.si/id/eprint/1538

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