Framework for examining the transformation of mathematics and mathematics learning in the transition from school to university
Contribution to collected edition/anthology › Research › Peer reviewed
Publication data
| By | Maike Vollstedt, Aiso Heinze, Kristin Gojdka, Stefanie Rach |
| Original language | English |
| Published in | Sebastian Rezat, Mathias Hattermann, Anrea Peter-Koop (Eds.), Transformation - A Fundamental Idea of Mathematics Education |
| Pages | 29-50 |
| Editor (Publisher) | Springer |
| ISBN | 978-1-4614-3488-7, 978-1-4614-3489-4 |
| DOI/Link | https://doi.org/10.1007/978-1-4614-3489-4_2 |
| Publication status | Published – 2014 |
| Keywords | Tasks, Interrater agreement, Development of framework, Character of mathematics, Feasibility studies, Motivation, University, Double discontinuity, Reliability, Proof, Learning strategies, Development of concepts, Structure and visual representation, Secondary school, High dropout rate, Theory-based, Deduction of theorems |
Throughout the last decade, increasing attention has been given to the discontinuity phenomena of university students in mathematics during their transition from school to university. We hypothesize that two transformations in this transition period have played an important role: the transformation of the character of mathematics and the transformation of the learning strategies necessary at school and at university. Following this hypothesis, we will present a study analyzing and comparing German textbooks at upper secondary level and university level, respectively. We assume that both transformations can be understood more deeply when we examine the way textbooks are designed. Hence, a categorical system has been developed which focuses on the criteria such as “development of concepts”, “deduction of theorems”, “proof” and “tasks” as well as “motivation”, and “structure and visual representation”. This article presents the developed framework and discusses results from two feasibility studies conducted with different widely used German textbooks at both school and university levels. [Editor]
