Table of contents

  1. Front Matter
    Pages i-vii
  2. David Bressoud, Imène Ghedamsi, Victor Martinez-Luaces, Günter Törner
    Pages 1-37 Open Access

About this book


This survey focuses on the main trends in the field of calculus education. Despite their variety, the findings reveal a cornerstone issue that is strongly linked to the formalism of calculus concepts and to the difficulties it generates in the learning and teaching process. As a complement to the main text, an extended bibliography with some of the most important references on this topic is included. Since the diversity of the research in the field makes it difficult to produce an exhaustive state-of-the-art summary, the authors discuss recent developments that go beyond this survey and put forward new research questions.


Calculus Design Formalism Infinity Calculus Thinking Task Design Cognitive Development Limits Derivatives Integrals Calculus Instruction Calculus Teachers

Authors and affiliations

  • David Bressoud
    • 1
  • Imène Ghedamsi
    • 2
  • Victor Martinez-Luaces
    • 3
  • Günter Törner
    • 4
  1. 1.Dept of MathematicsMacalester CollegeSaint PaulUSA
  2. 2.IPEITUniversity of TunisTunisTunisia
  3. 3.FJR/Faculty of Engineering/UdelaRUniversidad de la RepúblicaMalagaSpain
  4. 4.Faculty of MathematicsUniversity of Duisburg-EssenEssenGermany

Bibliographic information

  • DOI
  • Copyright Information The Editor(s) (if applicable) and The Author(s) 2016
  • License CC BY
  • Publisher Name Springer, Cham
  • eBook Packages Education Education (R0)
  • Print ISBN 978-3-319-32974-1
  • Online ISBN 978-3-319-32975-8
  • Series Print ISSN 2366-5947
  • Series Online ISSN 2366-5955
  • Buy this book on publisher's site