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Problem Posing and Solving for Mathematically Gifted and Interested Students

Best Practices, Research and Enrichment

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  • © 2023

Overview

Editors:
  1. Deniz Sarikaya

    1. Centre for Logic & Philosophy of Science, Vrije Universiteit Brussel, Brussels, Belgium

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  2. Lukas Baumanns

    1. Institut für Mathematikdidaktik, University of Cologne, Köln, Germany

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  3. Karl Heuer

    1. Department of Applied Mathematics and Computer Science, Technical University of Denmark, Kongens Lyngby, Denmark

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  4. Benjamin Rott

    1. Institut für Mathematikdidaktik, University of Cologne, Köln, Germany

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  • Research insights from experts with respect to problem posing in general
  • Multi-contextual problem posing
  • Problem posing at practice

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About this book

Mathematics and mathematics education research have an ongoing interest in improving our understanding of mathematical problem posing and solving. This book focuses on problem posing in a context of mathematical giftedness. The contributions particularly address where such problems come from, what properties they should have, and which differences between school mathematics and more complex kinds of mathematics exist. These perspectives are examined internationally, allowing for cross-national insights.

Keywords

Table of contents (9 chapters)

  1. Front Matter

    Pages i-xii
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  2. Perspectives from Research

    1. Front Matter

      Pages 1-1
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    2. Four Mathematical Miniatures on Problem Posing

      • Lukas Baumanns
      Pages 3-25

    3. Many Chefs in the Kitchen—a Collaborative Model for Problem-Posing

      • Jason Cooper, Boris Koichu, Mirela Widder, Sarel Aiber, Yonah Amir, Aamer Badarneh et al.
      Pages 27-48

    4. Would Specialist Problem Posers Endorse Problem-Posing Situations that We Design for Learners? Does It Matter?

      • Igor’ Kontorovich
      Pages 49-64

    5. The Impact of an Enrichment Course in Mathematics on Students’ Problem-Solving Skills, Creativity, and Attitudes Towards Learning Mathematics

      • Ahlam Mahagna, Abraham Berman, Roza Leikin
      Pages 65-81

    6. Questions About Fostering and Identifying of Mathematically Promising Students in Times of Covid-19 Pandemic

      • Marianne Nolte
      Pages 83-100

    7. Problem Posing as an Integral Part for the Support of Mathematically Highly Gifted Teenagers Within the PriSMa Math Circles

      • Katrin Vorhölter, Malte Pamperien
      Pages 101-122

  3. Perspectives from Enrichment Programs: Best Practices

    1. Front Matter

      Pages 123-123
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    2. How to Use Motion as a Problem-Solving Tool? Problems from the Pósa Camps

      • Eszter Bóra, Péter Juhász
      Pages 125-146

    3. Using Maths Competition Problems at Camps

      • Terese M. O. Nielsen
      Pages 147-167

    4. Teaching Units for Mathematical Enrichment Activities

      • Merlin Carl, Uwe Leck, Hinrich Lorenzen, Michael Schmitz
      Pages 169-227
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Editors and Affiliations

  • Centre for Logic & Philosophy of Science, Vrije Universiteit Brussel, Brussels, Belgium

    Deniz Sarikaya

  • Institut für Mathematikdidaktik, University of Cologne, Köln, Germany

    Lukas Baumanns, Benjamin Rott

  • Department of Applied Mathematics and Computer Science, Technical University of Denmark, Kongens Lyngby, Denmark

    Karl Heuer

About the editors

Deniz Sarikaya is a guest researcher at the University of Copenhagen and the Technical University of Denmark (funded by the DAAD) and postdoctoral researcher at the Vrije Universiteit Brussel (within an FWO-project).Lukas Baumanns did his doctorate on problem posing at the University of Cologne. Currently he works at the Chair of Special Education in Mathematics and focuses on early mathematics learning and mathematical difficulties.
Karl Heuer is an assistant professor in Discrete Mathematics at the Technical University of Denmark. He mainly works in Graph Theory, but is also active in enrichment programmes. He obtained his PhD in mathematics at the University of Hamburg.
Benjamin Rott is a professor of Mathematics Education at the University of Cologne. He obtained a PhD at the University of Hannover, worked at the University of Education Freiburg and the University of Duisburg-Essen. His research interests include problem posing/solving, giftedness, and beliefs.

Bibliographic Information

  • Book Title: Problem Posing and Solving for Mathematically Gifted and Interested Students

  • Book Subtitle: Best Practices, Research and Enrichment

  • Editors: Deniz Sarikaya, Lukas Baumanns, Karl Heuer, Benjamin Rott

  • DOI: https://doi.org/10.1007/978-3-658-41061-2

  • Publisher: Springer Spektrum Wiesbaden

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Fachmedien Wiesbaden GmbH, part of Springer Nature 2023

  • Softcover ISBN: 978-3-658-41060-5Published: 02 October 2023

  • eBook ISBN: 978-3-658-41061-2Published: 29 September 2023

  • Edition Number: 1

  • Number of Pages: XII, 227

  • Number of Illustrations: 42 b/w illustrations, 24 illustrations in colour

  • Topics: Mathematics, general, Mathematics, general

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