Chapter Five: Discussions

  • Sasha Wang
Part of the Perspektiven der Mathematikdidaktik book series (PERMA)


This study used the van Hiele model of geometric thinking and Sfard’s analytical framework on mathematical discourse to describe pre-service teachers’ geometric thinking and to determine the changes in their learning. The van Hiele’s and Sfard’s perspective of learning are described as follows: the van Hiele’s (1959) view learning as moving to a higher level of thinking, and argue that a learning process is similar to the process of learning a new language.


Geometric Object Mathematics Classroom Mathematical Thinking Mathematical Proof Geometric Figure 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Springer Fachmedien Wiesbaden 2016

Authors and Affiliations

  1. 1.Department MathematicsBoise State UniversityBoiseUSA

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