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Probabilistic Thinking

Presenting Plural Perspectives

  • Book
  • © 2014

Overview

Editors:
  1. Egan J. Chernoff

    1. University of Saskatchewan College of Education, Saskatoon, Canada

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    You can also search for this editor in PubMed   Google Scholar

  2. Bharath Sriraman

    1. Dept of Mathematical Sciences, The University of Montana, Montana, USA

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

  • Encapsulates the dawn of a new phase of research investigating probabilistic thinking in mathematics education
  • Further advances research investigating probabilistic thinking as a mainstream topic in mathematics education
  • Represents a rich repository of a range of studies from a global cast of researchers
  • Presents multiple perspectives (mathematics and philosophy, psychology, stochastics and mathematics education) representing probabilistic thinking in a greater context
  • With commentaries from prominent individuals well versed in mathematics education research
  • Anthological and future-oriented with the explicit purpose of becoming a standard reference book for those investigating probabilistic thinking
  • Includes supplementary material: sn.pub/extras

Part of the book series: Advances in Mathematics Education (AME)

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Table of contents (38 chapters)

  1. Front Matter

    Pages I-XXI
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  2. Perspective I: Mathematics and Philosophy

    1. Front Matter

      Pages 1-1
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    2. Preface to Perspective I: Mathematics and Philosophy

      • Egan J. Chernoff, Gale L. Russell
      Pages 3-5

    3. A Historical and Philosophical Perspective on Probability

      • Manfred Borovcnik, Ramesh Kapadia
      Pages 7-34

    4. From Puzzles and Paradoxes to Concepts in Probability

      • Manfred Borovcnik, Ramesh Kapadia
      Pages 35-73

    5. Three Approaches for Modelling Situations with Randomness

      • Andreas Eichler, Markus Vogel
      Pages 75-99

    6. A Modelling Perspective on Probability

      • Maxine Pfannkuch, Ilze Ziedins
      Pages 101-116

    7. Commentary on Perspective I: The Humanistic Dimensions of Probability

      • Bharath Sriraman, Kyeonghwa Lee
      Pages 117-119

  3. Perspective II: Psychology

    1. Front Matter

      Pages 121-121
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    2. Probabilistic Thinking: Analyses from a Psychological Perspective

      • Wim Van Dooren
      Pages 123-126

    3. Statistical Thinking: No One Left Behind

      • Björn Meder, Gerd Gigerenzer
      Pages 127-148

    4. Fostering Children’s Probabilistic Reasoning and First Elements of Risk Evaluation

      • Laura Martignon
      Pages 149-160

    5. Intuitive Conceptions of Probability and the Development of Basic Math Skills

      • Gary L. Brase, Sherri Martinie, Carlos Castillo-Garsow
      Pages 161-194

    6. The Interplay Among Knowledge, Cognitive Abilities and Thinking Styles in Probabilistic Reasoning: A Test of a Model

      • Francesca Chiesi, Caterina Primi
      Pages 195-214

    7. Revisiting the Medical Diagnosis Problem: Reconciling Intuitive and Analytical Thinking

      • Lisser Rye Ejersbo, Uri Leron
      Pages 215-237

    8. Rethinking Probability Education: Perceptual Judgment as Epistemic Resource

      • Dor Abrahamson
      Pages 239-260

    9. Sticking to Your Guns: A Flawed Heuristic for Probabilistic Decision-Making

      • Deborah Bennett
      Pages 261-281

    10. Developing Probabilistic Thinking: What About People’s Conceptions?

      • Annie Savard
      Pages 283-298

    11. Commentary on Perspective II: Psychology

      • Brian Greer
      Pages 299-309

    12. A Brief Overview and Critique of Perspective II on Probabilistic and Statistical Reasoning

      • Richard Lesh, Bharath Sriraman
      Pages 311-340
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Keywords

About this book

This volume provides a necessary, current and extensive analysis of probabilistic thinking from a number of mathematicians, mathematics educators, and psychologists. The work of 58 contributing authors, investigating probabilistic thinking across the globe, is encapsulated in 6 prefaces, 29 chapters and 6 commentaries. Ultimately, the four main perspectives presented in this volume (Mathematics and Philosophy, Psychology, Stochastics and Mathematics Education) are designed to represent probabilistic thinking in a greater context.

Editors and Affiliations

  • University of Saskatchewan College of Education, Saskatoon, Canada

    Egan J. Chernoff

  • Dept of Mathematical Sciences, The University of Montana, Montana, USA

    Bharath Sriraman

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