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  • Conference proceedings
  • Open Access
  • © 2018

Invited Lectures from the 13th International Congress on Mathematical Education

  • Provides a comprehensive overview on state-of-the-art in mathematics education

  • Shares In-depth-studies in relevant themes of mathematics education

  • Presents research on relevant topics in mathematics education

Part of the book series: ICME-13 Monographs (ICME13Mo)

Buying options

Softcover Book USD 59.99
Price excludes VAT (USA)
Hardcover Book USD 59.99
Price excludes VAT (USA)

Table of contents (43 papers)

  1. Front Matter

    Pages i-x
  2. Mathematical Experiments—An Ideal First Step into Mathematics

    • Albrecht Beutelspacher
    Pages 19-29Open Access
  3. The Double Continuity of Algebra

    • Al Cuoco, William McCallum
    Pages 49-63Open Access
  4. The Role of Algebra in School Mathematics

    • Liv Sissel Grønmo
    Pages 175-193Open Access
  5. Storytelling for Tertiary Mathematics Students

    • Ansie Harding
    Pages 195-207Open Access
  6. PME and the International Community of Mathematics Education

    • Rina Hershkowitz, Stefan Ufer
    Pages 209-228Open Access
  7. Formative Assessment in Inquiry-Based Elementary Mathematics

    • Alena Hošpesová
    Pages 249-268Open Access
  8. Powering Knowledge Versus Pouring Facts

    • Petar S. Kenderov
    Pages 289-306Open Access
  9. Mathematical Problem Solving in Choice-Affluent Environments

    • Boris Koichu
    Pages 307-324Open Access
  10. Natural Differentiation—An Approach to Cope with Heterogeneity

    • Günter Krauthausen
    Pages 325-341Open Access

About this book

This book is Open Access under a CC BY 4.0 license.
The book presents the Invited Lectures given at 13th International Congress on Mathematical Education (ICME-13). ICME-13 took place from 24th- 31st July 2016 at the University of Hamburg in Hamburg (Germany). The congress was hosted by the Society of Didactics of Mathematics (Gesellschaft für Didaktik der Mathematik - GDM) and took place under the auspices of the International Commission on Mathematical Instruction (ICMI). ICME-13 – the biggest ICME so far - brought together about 3500 mathematics educators from 105 countries, additionally 250 teachers from German speaking countries met for specific activities. The scholars came together to share their work on the improvement of mathematics education at all educational levels.. The papers present the work of prominent mathematics educators from all over the globe and give insight into the current discussion in mathematics education. The Invited Lectures cover a wide spectrum of topics, themes and issues and aim to give direction to future research towards educational improvement in the teaching and learning of mathematics education. This book is of particular interest to researchers, teachers and curriculum developers in mathematics education.


  • mathematics education
  • mathematics learning
  • mathematics teaching
  • mathematics teachers
  • ICME-13
  • 13th congress on Mathematical Education
  • Empirical Studies in Mathematics Education
  • Theoretical Reflections on Mathematics Education
  • Tertiary Mathematics Education
  • Secondary Mathematics Education
  • Primary Mathematics Education
  • Society of didactics of Mathematics
  • Mathematics educators
  • improvement of mathematics education
  • Global mathematics trends
  • Open Access
  • learning and instruction

Editors and Affiliations

  • University Hamburg, Hamburg, Germany

    Gabriele Kaiser

  • Monash University, Clayton, Australia

    Helen Forgasz

  • Rhodes University, Grahamstown, South Africa

    Mellony Graven

  • Université Paris Diderot, Paris, France

    Alain Kuzniak

  • University of Alberta, Sherwood Park, Canada

    Elaine Simmt

  • East China Normal University, Shanghai, China

    Binyan Xu

Bibliographic Information

  • Book Title: Invited Lectures from the 13th International Congress on Mathematical Education

  • Editors: Gabriele Kaiser, Helen Forgasz, Mellony Graven, Alain Kuzniak, Elaine Simmt, Binyan Xu

  • Series Title: ICME-13 Monographs

  • DOI:

  • Publisher: Springer Cham

  • eBook Packages: Education, Education (R0)

  • Copyright Information: The Editor(s) (if applicable) and The Author(s) 2018

  • License: CC BY

  • Hardcover ISBN: 978-3-319-72169-9

  • Softcover ISBN: 978-3-319-89151-4

  • eBook ISBN: 978-3-319-72170-5

  • Series ISSN: 2520-8322

  • Series E-ISSN: 2520-8330

  • Edition Number: 1

  • Number of Pages: X, 786

  • Number of Illustrations: 160 b/w illustrations

  • Topics: Mathematics Education, Instructional Psychology, Teaching and Teacher Education

Buying options

Softcover Book USD 59.99
Price excludes VAT (USA)
Hardcover Book USD 59.99
Price excludes VAT (USA)