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Practice-Oriented Research in Tertiary Mathematics Education – An Introduction

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Practice-Oriented Research in Tertiary Mathematics Education

Part of the book series: Advances in Mathematics Education ((AME))

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Abstract

This chapter first outlines the genesis of the book. We briefly describe the development of university mathematics education as an international field of research and development. This includes the role of the khdm (“Kompetenzzentrum Hochschuldidaktik Mathematik”; Centre for Higher Mathematics Education) and one of its founding directors, Reinhard Hochmuth, to whom this book is dedicated.

We then consider five practice-oriented topics for research in university mathematics education: the secondary-tertiary transition, university students’ mathematical practices, teaching and curriculum design, university students’ mathematical inquiry, and mathematics for non-specialists. These topics represent main areas of recent research and development.

The five topics appear in the book as sections, each with several chapters. The sections and their contents are introduced in the final parts of this first chapter. For each section, we sketch the connection between its chapters and the specific field of research. We further provide a brief description of each chapter in terms of theoretical and methodological approaches, as well as of the results presented.

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Author information

Authors and Affiliations

  1. Paderborn University, Paderborn, Germany

    Rolf Biehler & Michael Liebendörfer

  2. University Paris Saclay, Orsay, France

    Ghislaine Gueudet

  3. Department of Mathematics and Statistics, San Diego State University, San Diego, CA, USA

    Chris Rasmussen

  4. Faculty of Science, University of Copenhagen, Copenhagen, Denmark

    Carl Winsløw

Authors
  1. Rolf Biehler
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  2. Michael Liebendörfer
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  3. Ghislaine Gueudet
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  4. Chris Rasmussen
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  5. Carl Winsløw
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Corresponding author

Correspondence to Michael Liebendörfer .

Editor information

Editors and Affiliations

  1. Institute of Mathematics, Paderborn University, Paderborn, Nordrhein-Westfalen, Germany

    Rolf Biehler

  2. Institute of Mathematics, Paderborn University, Paderborn, Nordrhein-Westfalen, Germany

    Michael Liebendörfer

  3. University Paris Saclay, Orsay, France

    Ghislaine Gueudet

  4. Department of Mathematics and Statistics, San Diego State University, San Diego, CA, USA

    Chris Rasmussen

  5. Faculty of Science, University of Copenhagen, Copenhagen, Denmark

    Carl Winsløw

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Biehler, R., Liebendörfer, M., Gueudet, G., Rasmussen, C., Winsløw, C. (2022). Practice-Oriented Research in Tertiary Mathematics Education – An Introduction. In: Biehler, R., Liebendörfer, M., Gueudet, G., Rasmussen, C., Winsløw, C. (eds) Practice-Oriented Research in Tertiary Mathematics Education. Advances in Mathematics Education. Springer, Cham. https://doi.org/10.1007/978-3-031-14175-1_1

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