Mathematical Literacy on Statistical Measures

A Design Research Study

  • Christian Büscher

Table of contents

  1. Front Matter
    Pages i-xviii
  2. Christian Büscher
    Pages 1-5
  3. Christian Büscher
    Pages 7-29
  4. Christian Büscher
    Pages 31-41
  5. Christian Büscher
    Pages 43-54
  6. Christian Büscher
    Pages 55-57
  7. Christian Büscher
    Pages 59-74
  8. Christian Büscher
    Pages 75-154
  9. Christian Büscher
    Pages 155-191
  10. Christian Büscher
    Pages 193-210
  11. Back Matter
    Pages 211-220

About this book


In most countries, only very limited time resources are available for statistics education within mathematics education. Thus, statistics education research needs to develop teaching-learning arrangements that are compact and applicable to classrooms. Christian Büscher designs and investigates a compact teaching-learning arrangement which aims at mathematical and reflective knowledge about statistics. Central results include the specification of the learning content of statistical measures, an empirical reconstruction of students’ learning processes towards statistical measures, and the identification of students’ situated reflections about mathematics within their learning processes.


  • Mathematical Literacy in Statistics
  • Specifying the Mathematizing Concept of Statistical Measure
  • Reflective Concepts and Activities as a Conceptualization of Reflective Knowledge
  • Designing a Compact Teaching-Learning Arrangement
  • Identifying Students‘ Situative Reflective Concepts

Target Groups

  • Researchers, academics, and scholars of mathematics, statistics, and didactics
  • Teachers of mathematics and statistics

The Author

Christian Büscher investigates learning processes in statistics through Design Research at Technical University of Dortmund, Germany.

The Editors

The series Dortmunder Beiträge zur Entwicklung und Erforschung des Mathematikunterrichts is edited by Stephan Hußmann, Marcus Nührenbörger, Susanne Prediger und Christoph Selter.


Mathematical Literacy Statistical Literacy Statistics Education Mathematics Education Teaching-Learning Arrangement Reflective Knowledge Reflective Concepts Didactics of Mathematics Learning Processes Statistical Measures Design Research Average Median Typical

Authors and affiliations

  • Christian Büscher
    • 1
  1. 1.Fakultät für Mathematik, IEEMTechnische Universität DortmundDortmundGermany

Bibliographic information

  • DOI
  • Copyright Information Springer Fachmedien Wiesbaden GmbH, part of Springer Nature 2018
  • Publisher Name Springer Spektrum, Wiesbaden
  • eBook Packages Education Education (R0)
  • Print ISBN 978-3-658-23068-5
  • Online ISBN 978-3-658-23069-2
  • Buy this book on publisher's site