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International Perspectives on the Teaching and Learning of Mathematical Modelling
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Open Access This content is freely available online to anyone, anywhere at any time.

Measuring Professional Competence for the Teaching of Mathematical Modelling

A Test Instrument

Authors: Wess, R., Klock, H., Siller, H.-S., Greefrath, G.

  • Proposes a structural model describing professional competences for teaching mathematical modelling
  • Contributes to the quality development of teacher education in mathematical modelling
  • Fills a gap in the literature on the teaching of mathematics
  • This book is open access, which means that you have free and unlimited access
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eBook  
  • ISBN 978-3-030-78071-5
  • This book is an open access book, you can download it for free on link.springer.com
Hardcover 51,99 €
price for Spain (gross)
  • ISBN 978-3-030-78070-8
  • Free shipping for individuals worldwide
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  • Usually ready to be dispatched within 3 to 5 business days, if in stock
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About this Textbook

This open access book presents a structural model and an associated test instrument designed to provide a detailed analysis of professional competences for teaching mathematical modelling. The conceptualisation is based on the COACTIV model, which describes aspects, areas and facets of professional competences of teachers. The manual provides an overview of the essential teaching skills in application-related contexts and offers the tools needed to capture these aspects. It discusses the objectives and application areas of the instrument, as well as the development of the test. In addition, it describes the implementation and evaluates the quality and results of the structural equation analysis of the model.

Teaching mathematical modelling is a cognitively challenging activity for (prospective) teachers. Thus, teacher education requires a detailed analysis of professional competence for teaching mathematical modelling. Measuring this competence requires theoretical models that accurately describe requirements placed upon teachers, as well as appropriate evaluation tools that adequately capture skills and abilities in this field. This book presents an instrument that measures the professional competences in a sample of 349 prospective teachers.

About the authors

Raphael Wess received his doctorate on Professional Competence for Teaching Mathematical Modelling as a research assistant at the Institute for Mathematics Education and Computer Science Education at the University of Münster.

 

Heiner Klock worked as a research assistant at the Department of Mathematics (Mathematics Education) at the University of Koblenz-Landau and received his doctorate at the University of Würzburg on Adaptive Intervention Competence in Mathematical Modelling Processes.

 

Prof. Dr. Hans-Stefan Siller is Professor of Mathematics Education and holds the Chair for Mathematics V at the Julius Maximilians University in Würzburg.  His research focuses on mathematical modeling, reality-related mathematics lessons, competence orientation, assessment and examination in math lessons, heterogeneity and talented students in mathematics, and the use of new media and digital technologies in math lessons.

 

Prof. Dr. Gilbert Greefrath is Professor of Mathematics Education with a focus on secondary education at the University of Münster (Germany). After receiving his doctorate in mathematics, he taught at universities in Karlsruhe and Cologne. His research focuses on mathematical modelling, the use of digital mathematical tools, the transition from school to university and the development of test and examination tasks.

Table of contents (6 chapters)

Table of contents (6 chapters)
  • Mathematical Modelling

    Pages 3-20

    Wess, Raphael (et al.)

  • Professional Competence for Teaching Mathematical Modelling

    Pages 21-36

    Wess, Raphael (et al.)

  • Test Instrument

    Pages 39-76

    Wess, Raphael (et al.)

  • Test Quality

    Pages 77-84

    Wess, Raphael (et al.)

  • Discussion

    Pages 87-89

    Wess, Raphael (et al.)

Buy this book

eBook  
  • ISBN 978-3-030-78071-5
  • This book is an open access book, you can download it for free on link.springer.com
Hardcover 51,99 €
price for Spain (gross)
  • ISBN 978-3-030-78070-8
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
Measuring Professional Competence for the Teaching of Mathematical Modelling
Book Subtitle
A Test Instrument
Authors
Series Title
International Perspectives on the Teaching and Learning of Mathematical Modelling
Copyright
2021
Publisher
Springer International Publishing
Copyright Holder
The Editor(s) (if applicable) and The Author(s)
eBook ISBN
978-3-030-78071-5
DOI
10.1007/978-3-030-78071-5
Hardcover ISBN
978-3-030-78070-8
Series ISSN
2211-4920
Edition Number
1
Number of Pages
X, 129
Number of Illustrations
75 b/w illustrations, 18 illustrations in colour
Topics