Connecting Mathematics and Mathematics Education Collected Paper

This Open Access book features a selection of articles written by Erich Ch. Wittmann between 1984 to 2019, which shows how the “design science conception” has been continuously developed over a number of decades. The articles not only describe this concep

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Connecting Mathematics and Mathematics Education Collected Papers on Mathematics Education as a Design Science

Connecting Mathematics and Mathematics Education

Erich Christian Wittmann

Connecting Mathematics and Mathematics Education Collected Papers on Mathematics Education as a Design Science


Erich Christian Wittmann Department of Mathematics Technical University of Dortmund Dortmund, Germany

ISBN 978-3-030-61569-7 ISBN 978-3-030-61570-3


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One of us, who had the good fortune of meeting Trevor Fletcher in the symposium on the centennial of L’Enseignement Mathématique held in Genève in October of 2000, received a piece of excellent advice from this notable mathematics educator, namely, that a fundamental task of the teacher of mathematics is to let students experience the intellectual life that the teacher really lives. Fletcher placed this quote (from E.E. Moise) at the forefront of his paper of 1975 that bears the title “Is the teacher of mathematics a mathematician or not?” [Schriftenreihe des Instituts für Didaktik der Mathematik Bielefeld, 6 (1975), 203–218]. Everybody began with a world “without mathematics”, this term to be t