Titlebook: Connecting Mathematics and Mathematics Education; Collected Papers on Erich Christian Wittmann Book‘‘‘‘‘‘‘‘ 2021 The Editor(s) (if applica

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Chameleon

The Alpha and Omega of Teacher Education: Organizing Mathematical Activities,r is structured as follows: It starts with a general plea for placing the mathematical training of any category of students into their professional context. Then the context of primary education in Germany, with its strong emphasis on the principle of learning by discovery, is sketched.

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Slope Stability and Mass Movements section shows that learning environments are a natural way to address teachers in their main role, teaching, and that therefore this approach is promising for improving mathematics teaching in an effective way. The section ends with a teaching model based on Guy Brousseau’s theory of didactical situations.

Nonporous

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Importance of Tropical Forests,r is structured as follows: It starts with a general plea for placing the mathematical training of any category of students into their professional context. Then the context of primary education in Germany, with its strong emphasis on the principle of learning by discovery, is sketched.

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https://doi.org/10.1007/978-1-4020-5775-5In his famous talk at ICME 2 (Exeter 1972) the French mathematician R. Thom pointed out that any conception of mathematics teaching necessarily rests on a certain view of mathematics (Thom 1973, 204). As a consequence mathematics education cannot develop without close links to mathematics.