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  • Textbook
  • Open Access
  • © 2021

Measuring Professional Competence for the Teaching of Mathematical Modelling

A Test Instrument

Authors:

(view affiliations)
  • 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

Buying options

Softcover Book
USD 49.99
Price excludes VAT (USA)
This title has not yet been released. You will be able to pre-order it soon.
Hardcover Book
USD 59.99
Price excludes VAT (USA)

Table of contents (6 chapters)

  1. Front Matter

    Pages i-x
  2. Theoretical Background

    1. Front Matter

      Pages 1-1
    2. Mathematical Modelling

      • Raphael Wess, Heiner Klock, Hans-Stefan Siller, Gilbert Greefrath
      Pages 3-20Open Access
    3. Professional Competence for Teaching Mathematical Modelling

      • Raphael Wess, Heiner Klock, Hans-Stefan Siller, Gilbert Greefrath
      Pages 21-36Open Access
  3. Assessment of Professional Competence for Teaching Mathematical Modelling

    1. Front Matter

      Pages 37-37
    2. Test Instrument

      • Raphael Wess, Heiner Klock, Hans-Stefan Siller, Gilbert Greefrath
      Pages 39-76Open Access
    3. Test Quality

      • Raphael Wess, Heiner Klock, Hans-Stefan Siller, Gilbert Greefrath
      Pages 77-84Open Access
  4. Discussion and Outlook

    1. Front Matter

      Pages 85-85
    2. Discussion

      • Raphael Wess, Heiner Klock, Hans-Stefan Siller, Gilbert Greefrath
      Pages 87-89Open Access
    3. Outlook

      • Raphael Wess, Heiner Klock, Hans-Stefan Siller, Gilbert Greefrath
      Pages 91-93Open Access
  5. Back Matter

    Pages 95-129

About this book

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.

Keywords

  • Open Access
  • Teaching mathematical modelling
  • Professional Competences for Teaching Mathematical Modelling
  • COACTIV model
  • professional competences of teachers
  • BELIEFS ABOUT MATHEMATICAL MODELLING
  • Test Instrument
  • text vignette

Authors and Affiliations

  • Mathematics and Computer Science, University of Münster, Münster, Germany

    Raphael Wess, Gilbert Greefrath

  • Mathematics and Computer Science, University of Würzburg, Würzburg, Germany

    Heiner Klock, Hans-Stefan Siller

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.

Bibliographic Information

Buying options

Softcover Book
USD 49.99
Price excludes VAT (USA)
This title has not yet been released. You will be able to pre-order it soon.
Hardcover Book
USD 59.99
Price excludes VAT (USA)