Knowledge Transformation Between Secondary School and University Mathematics

The transition between school- and university-level mathematics is a challenging task for students, which includes the need to change their views of mathematics. In particular, this task encompasses coping with the discrepancy between a mostly concrete and application-oriented school perspective on the subject and the abstract and comprehensive university perspective. Preservice teachers are especially concerned as they might see their university studies more or less as an interruption between the two ways of working at school, namely as a student and as a teacher. In a small study, we addressed the question how teacher students change their view on mathematical definitions during the first months at the university. We will present results and discuss them with respect to the transformation of knowledge.

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