K. Nagel - Academia.edu (original) (raw)
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Technische Hochschule Köln (Cologne University of Applied Sciences)
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The transition from high school to university mathematics causes many difficulties for students. ... more The transition from high school to university mathematics causes many difficulties for students. Reasons for that are often the overall view on mathematics (e.g., the axiomatic deductive character of university mathematics) and the learning culture that both differ greatly from secondary schools (for an overview, see . To bridge the gap between the secondary and tertiary level mathematics, it is particularly necessary that students have the opportunity to repeat basic mathematical theories and methods deeply, and learn how to adapt concept image and concept definition (Vinner, 1991, p. 68) appropriately. Furthermore, pre-service teachers of mathematics need to develop their pedagogical content knowledge that is important for their future profession as a high school teacher. For that reason they should learn to connect high school and university mathematics, and how to present and communicate mathematical contents. Therefore, the TUM School of Education in Munich (Germany) now offers innovative tutorials that aim at supporting students of mathematics education in the above-mentioned aspects of their mathematics educational training. These tutorials complement the basic lectures of linear algebra and calculus.
The transition from high school to university mathematics causes many difficulties for students. ... more The transition from high school to university mathematics causes many difficulties for students. Reasons for that are often the overall view on mathematics (e.g., the axiomatic deductive character of university mathematics) and the learning culture that both differ greatly from secondary schools (for an overview, see . To bridge the gap between the secondary and tertiary level mathematics, it is particularly necessary that students have the opportunity to repeat basic mathematical theories and methods deeply, and learn how to adapt concept image and concept definition (Vinner, 1991, p. 68) appropriately. Furthermore, pre-service teachers of mathematics need to develop their pedagogical content knowledge that is important for their future profession as a high school teacher. For that reason they should learn to connect high school and university mathematics, and how to present and communicate mathematical contents. Therefore, the TUM School of Education in Munich (Germany) now offers innovative tutorials that aim at supporting students of mathematics education in the above-mentioned aspects of their mathematics educational training. These tutorials complement the basic lectures of linear algebra and calculus.