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Learning Mathematics in the Context of 3D Printing

Proceedings of the International Symposium on 3D Printing in Mathematics Education

  • Book
  • © 2022

Overview

Editors:
  1. Frederik Dilling

    1. Mathematics Education, University of Siegen, Siegen, Germany

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  2. Felicitas Pielsticker

    1. Mathematics Education, University of Siegen, Siegen, Germany

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    You can also search for this editor in PubMed   Google Scholar

  3. Ingo Witzke

    1. Mathematics Education, University of Siegen, Siegen, Germany

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  • Positive attitude towards the possibilities of the use of 3D printing technology
  • Impulses for a meaningful use of 3D printing technology
  • Perspectives on mathematics teaching related to the use of 3D printing technology

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Table of contents (15 chapters)

  1. Front Matter

    Pages i-vi
    Download chapter PDF

  2. 3D Printing in Mathematics Education—A Brief Introduction

    • Frederik Dilling, Felicitas Pielsticker, Ingo Witzke
    Pages 1-16

  3. 3D Transformations for Architectural Models as a Tool for Mathematical Learning

    • Shereen El Bedewy, Ben Haas, Zsolt Lavicza, Tony Houghton
    Pages 17-49

  4. Increasing the Skills on Occupationally Relevant Digital Technologies Among Students in Southern Denmark and Northern Germany: 3D Printing as a Learning Context in Regular Mathematics Classes

    • Mira H. Wulff, Marc Wilken, Aiso Heinze
    Pages 51-72

  5. Vignettes of Research on the Promise of Mathematical Making in Teacher Preparation

    • Greenstein Steven, Akuom Denish, Pomponio Erin, Fernández Eileen, Davidson Jessica, Jeannotte Doris et al.
    Pages 73-109

  6. Plane Tessellation

    • Rudolf Hrach
    Pages 111-132

  7. The Platonic Solids as Edge-Models

    • Rudolf Hrach
    Pages 133-142

  8. Doing Mathematics with 3D Pens: Five Years of Research on 3D Printing Integration in Mathematics Classrooms

    • Oi-Lam Ng, Huiyan Ye
    Pages 143-162

  9. Possibilities for STEAM Teachers Using 3D Modelling and 3D Printing

    • Eva Ulbrich, Branko Andjic, Zsolt Lavicza
    Pages 163-185

  10. “I Cannot Simply Insert Any Number There. That Does not Work” — A Case Study on the Insertion Aspect of Variables

    • Jenny Knöppel, Felicitas Pielsticker
    Pages 187-206

  11. Coding in the Context of 3D Printing

    • Frederik Dilling, Gregor Milicic, Amelie Vogler
    Pages 207-228

  12. Modelling and 3D-Printing Architectural Models—a Way to Develop STEAM Projects for Mathematics Classrooms

    • Mathías Tejera, Gustavo Aguilar, Zsolt Lavicza
    Pages 229-249

  13. Interfaces in Learning Mathematics—Challenging and Encouraging Visualizations Switching from 3D to 2D and 2D to 3D

    • Felicitas Pielsticker, Gero Stoffels
    Pages 251-273

  14. Mathematical Drawing Instruments and 3D Printing—(Re)designing and Using Pantographs and Integraphs in the Classroom

    • Frederik Dilling, Amelie Vogler
    Pages 275-289

  15. 3D-Printing in Calculus Education—Concrete Ideas for the Hands-On Learning of Derivatives and Integrals

    • Frederik Dilling
    Pages 291-308

  16. Maistaeder—on the Evolution of a Versatile Polyhedron

    • Robert Päßler
    Pages 309-321
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Keywords

About this book

The volume presents a collection of articles on the use of 3D printing technology in mathematics education and in mathematics teacher training. It contains both basic research-oriented contributions as well as reflected descriptions of concrete developments for teaching. The authors of this compilation share a positive attitude towards the possibilities that the use of 3D printing technology (understood as an interplay of software and hardware) can unfold for mathematics education, but critically evaluate from a mathematics education research perspective when, where and how an application can enable an added value for the learning of a mathematical content.

Editors and Affiliations

  • Mathematics Education, University of Siegen, Siegen, Germany

    Frederik Dilling, Felicitas Pielsticker, Ingo Witzke

About the editors

Dr. Frederik Dilling is a research associate at the department of mathematics at the University of Siegen. His research focuses on digital technologies and interdisciplinarity in mathematics education and mathematics teacher training. Dr. Felicitas Pielsticker works at the University of Siegen in the department of mathematics as a lecturer and researcher. Her research focuses on a holistic cognitive and neurofunctional description and analysis of mathematical knowledge development processes with digital technologies.
Prof. Dr. Ingo Witzke is professor for mathematics education at the University of Siegen. His research group investigates mathematical knowledge development processes of learners interacting with (digital) tools and resources.

Bibliographic Information

  • Book Title: Learning Mathematics in the Context of 3D Printing

  • Book Subtitle: Proceedings of the International Symposium on 3D Printing in Mathematics Education

  • Editors: Frederik Dilling, Felicitas Pielsticker, Ingo Witzke

  • Series Title: MINTUS – Beiträge zur mathematisch-naturwissenschaftlichen Bildung

  • DOI: https://doi.org/10.1007/978-3-658-38867-6

  • 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 2022

  • Softcover ISBN: 978-3-658-38866-9Published: 02 March 2023

  • eBook ISBN: 978-3-658-38867-6Published: 01 March 2023

  • Series ISSN: 2661-8060

  • Series E-ISSN: 2661-8079

  • Edition Number: 1

  • Number of Pages: VI, 321

  • Number of Illustrations: 24 b/w illustrations, 172 illustrations in colour

  • Topics: Applications of Mathematics, Mathematics, general

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