Artefacts to Enhance Geometrical Thinking

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Zekeriya Karadag: Artefacts to Enhance Geometrical Thinking. In: Bridges 2016, Pages 173–178.



This paper briefly reports on research exploring how pre-service teachers may improve their geometrical thinking while pursuing a realistic mathematics education activity. The participants were encouraged to photograph artefacts that include basic geometrical objects as the first step of the activity. They then created dynamic GeoGebra worksheets inspired by those pictures. Their work and online communication during the activity were explored to understand to what extent they could improve their geometrical thinking. Data suggest that the activity led them think more visually, dynamically and adventurously, and that the project has the potential to foster their creativity.

Extended Abstract


 author      = {Zekeriya Karadag},
 title       = {Artefacts to Enhance Geometrical Thinking},
 pages       = {173--178},
 booktitle   = {Proceedings of Bridges 2016: Mathematics, Music, Art, Architecture, Education, Culture},
 year        = {2016},
 editor      = {Eve Torrence, Bruce Torrence, Carlo S\'equin, Douglas McKenna, Krist\'of Fenyvesi and Reza Sarhangi},
 isbn        = {978-1-938664-19-9},
 issn        = {1099-6702},
 publisher   = {Tessellations Publishing},
 address     = {Phoenix, Arizona},
 url         = { },
 note        = {Available online at \url{}}

Used References

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[7] M. Majewski, Szkice O Geometrii I Sztuce: miedzy Wschodem i Zachodem.Wydawnictwo Aksjomat, 2012.

[8] The Freudenthal Institute for Science and Mathematics Education (FIsme),

[9] A. Treffers, Three Dimensions: A Model of Goal and Theory Description in Mathematics Instruction, Dordrecht: Reidel Publishing Company, 1987.


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