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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. Perspective III: Stochastics

    1. Front Matter

      Pages 341-341
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    2. Preface to Perspective III: Stochastics

      • Egan J. Chernoff, Gale L. Russell
      Pages 343-344

    3. Prospective Primary School Teachers’ Perception of Randomness

      • Carmen Batanero, Pedro Arteaga, Luis Serrano, Blanca Ruiz
      Pages 345-366

    4. Challenges of Developing Coherent Probabilistic Reasoning: Rethinking Randomness and Probability from a Stochastic Perspective

      • Luis Saldanha, Yan Liu
      Pages 367-396

    5. “It Is Very, Very Random Because It Doesn’t Happen Very Often”: Examining Learners’ Discourse on Randomness

      • Simin Jolfaee, Rina Zazkis, Nathalie Sinclair
      Pages 397-416

    6. Developing a Modelling Approach to Probability Using Computer-Based Simulations

      • Theodosia Prodromou
      Pages 417-439

    7. Promoting Statistical Literacy Through Data Modelling in the Early School Years

      • Lyn D. English
      Pages 441-457

    8. Learning Bayesian Statistics in Adulthood

      • Wolff-Michael Roth
      Pages 459-479

    9. Commentary on the Chapters on Probability from a Stochastic Perspective

      • J. Michael Shaughnessy
      Pages 481-489

  2. Perspective IV: Mathematics Education

    1. Front Matter

      Pages 491-491
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    2. Preface to Perspective IV: Mathematics Education

      • Egan J. Chernoff, Gale L. Russell
      Pages 493-494

    3. A Practitional Perspective on Probabilistic Thinking Models and Frameworks

      • Edward S. Mooney, Cynthia W. Langrall, Joshua T. Hertel
      Pages 495-507

    4. Experimentation in Probability Teaching and Learning

      • Per Nilsson
      Pages 509-532

    5. Investigating the Dynamics of Stochastic Learning Processes: A Didactical Research Perspective, Its Methodological and Theoretical Framework, Illustrated for the Case of the Short Term–Long Term Distinction

      • Susanne Prediger, Susanne Schnell
      Pages 533-558

    6. Counting as a Foundation for Learning to Reason About Probability

      • Carolyn A. Maher, Anoop Ahluwalia
      Pages 559-580

    7. Levels of Probabilistic Reasoning of High School Students About Binomial Problems

      • Ernesto Sánchez, Pedro Rubén Landín
      Pages 581-597

    8. Children’s Constructions of a Sample Space with Respect to the Law of Large Numbers

      • Efi Paparistodemou
      Pages 599-612

    9. Researching Conditional Probability Problem Solving

      • M. Pedro Huerta
      Pages 613-639

    10. Contextual Considerations in Probabilistic Situations: An Aid or a Hindrance?

      • Ami Mamolo, Rina Zazkis
      Pages 641-656

    11. Cultural Influences in Probabilistic Thinking

      • Sashi Sharma
      Pages 657-681
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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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