Using GeoGebra in generalization processes of geometrical challenging problems
DOI:
https://doi.org/10.23925/2237-9657.2021.v10i1p049-064Keywords:
Geometrical theorems, Mathematics Teaching, Geometry softwareAbstract
We generalize in this work three geometrical challenging problems addressed in mathematics literature. In generalizations, we adopt the theoretical assumptions established for this process and use GeoGebra to build figures and animation. The proposed and solved generalizations establish natural links between some mathematics areas, highlighting the importance of generalization processes for constructing mathematical knowledge in undergraduate programs in mathematics teacher education. We conclude that the use of GeoGebra was essential to a comprehensive understanding of the structures for generalization.
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