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Mathematics in Physics Education

  • Book
  • © 2019

Overview

Editors:
  1. Gesche Pospiech

    1. Technische Universität Dresden, Dresden, Germany

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  2. Marisa Michelini

    1. DCFA - Section of Mathematics and Physics, University of Udine, Udine, Italy

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    You can also search for this editor in PubMed   Google Scholar

  3. Bat-Sheva Eylon

    1. The Weizmann Institute of Science Rehovot, Israel

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    You can also search for this editor in PubMed   Google Scholar

  • Is the first comprehensive work on mathematics in physics education
  • Discusses a topic of growing relevance in physics education research
  • Focuses on mathematics in secondary school physics
  • Helps to make the interplay of physics and mathematics insightful to students

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Table of contents (16 chapters)

  1. Front Matter

    Pages i-x
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  2. Framework of Mathematization in Physics from a Teaching Perspective

    • Gesche Pospiech
    Pages 1-33

  3. Perspectives on Mathematics in Physics Education

    1. Front Matter

      Pages 35-35
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    2. The “Math as Prerequisite” Illusion: Historical Considerations and Implications for Physics Teaching

      • Ricardo Karam, Olaf Uhden, Dietmar Höttecke
      Pages 37-52

    3. Students’ Understanding of Algebraic Concepts

      • André Heck, Onne van Buuren
      Pages 53-74

    4. Mathematical Representations in Physics Lessons

      • Marie-Annette Geyer, Wiebke Kuske-Janßen
      Pages 75-102

    5. What Is Learned About the Roles of Mathematics in Physics While Learning Physics Concepts? A Mathematics Sensitive Look at Physics Teaching and Learning

      • Olaf Krey
      Pages 103-123

  4. Learning Mathematization

    1. Front Matter

      Pages 125-125
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    2. Blending Physical Knowledge with Mathematical Form in Physics Problem Solving

      • Mark Eichenlaub, Edward F. Redish
      Pages 127-151

    3. Theorems-in-Action for Problem-Solving and Epistemic Views on the Relationship Between Physics and Mathematics Among Preservice Physics Teachers

      • Ileana M. Greca, Ana Raquel Pereira de Ataíde
      Pages 153-173

    4. Learning to Use Formulas and Variables for Constructing Computer Models in Lower Secondary Physics Education

      • Onne van Buuren, André Heck
      Pages 175-194

    5. Graph in Physics Education: From Representation to Conceptual Understanding

      • Alberto Stefanel
      Pages 195-231

    6. Comparing Student Understanding of Graphs in Physics and Mathematics

      • Maja Planinic, Ana Susac, Lana Ivanjek, Željka Milin Šipuš
      Pages 233-246

    7. Combining Physics and Mathematics Learning: Discovering the Latitude in Pre-service Subject Teacher Education

      • Terhi Mäntylä, Jaska Poranen
      Pages 247-266

  5. Teaching Mathematization

    1. Front Matter

      Pages 267-267
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    2. Role of Teachers as Facilitators of the Interplay Physics and Mathematics

      • Gesche Pospiech, Bat-Sheva Eylon, Esther Bagno, Yaron Lehavi
      Pages 269-291

    3. A Case Study of the Role of Mathematics in Physics Textbooks and in Associated Lessons

      • Lena Hansson, Örjan Hansson, Kristina Juter, Andreas Redfors
      Pages 293-316

    4. Starting with Physics: A Problem-Solving Activity for High-School Students Connecting Physics and Mathematics

      • E. Bagno, H. Berger, E. Magen, C. Polingher, Y. Lehavi, B. Eylon
      Pages 317-331

  6. Facilitating Mathematization by Visual Means

    1. Front Matter

      Pages 333-333
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    2. Taking the Phys-Math Interplay from Research into Practice

      • Yaron Lehavi, Roni Mualem, Esther Bagno, Bat-Sheva Eylon, Gesche Pospiech
      Pages 335-353
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Keywords

About this book

This book is about mathematics in physics education, the difficulties students have in learning physics, and the way in which mathematization can help to improve physics teaching and learning. The book brings together different teaching and learning perspectives, and addresses both fundamental considerations and practical aspects. Divided into four parts, the book starts out with theoretical viewpoints that enlighten the interplay of physics and mathematics also including historical developments. The second part delves into the learners’ perspective. It addresses aspects of the learning by secondary school students as well as by students just entering university, or teacher students. Topics discussed range from problem solving over the role of graphs to integrated mathematics and physics learning. The third part includes a broad range of subjects from teachers’ views and knowledge, the analysis of classroom discourse and an evaluated teaching proposal. The last part describes approaches that take up mathematization in a broader interpretation, and includes the presentation of a model for physics teachers’ pedagogical content knowledge (PCK) specific to the role of mathematics in physics.

Editors and Affiliations

  • Technische Universität Dresden, Dresden, Germany

    Gesche Pospiech

  • DCFA - Section of Mathematics and Physics, University of Udine, Udine, Italy

    Marisa Michelini

  • The Weizmann Institute of Science Rehovot, Israel

    Bat-Sheva Eylon

About the editors

Gesche Pospiech, TU Dresden, Germany
Marisa Michelini, University of Udine, Italy

Bat-Sheva Eylon, Weizmann Institute of Science, Israel

Bibliographic Information

  • Book Title: Mathematics in Physics Education

  • Editors: Gesche Pospiech, Marisa Michelini, Bat-Sheva Eylon

  • DOI: https://doi.org/10.1007/978-3-030-04627-9

  • Publisher: Springer Cham

  • eBook Packages: Education, Education (R0)

  • Copyright Information: Springer Nature Switzerland AG 2019

  • Hardcover ISBN: 978-3-030-04626-2Published: 12 July 2019

  • eBook ISBN: 978-3-030-04627-9Published: 02 July 2019

  • Edition Number: 1

  • Number of Pages: X, 385

  • Number of Illustrations: 109 b/w illustrations

  • Topics: Science Education, Mathematics Education, Learning & Instruction, Teaching and Teacher Education

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