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Teaching and Learning Stochastics

Advances in Probability Education Research

  • Book
  • © 2018

Overview

Editors:
  1. Carmen Batanero

    1. Facultad de Ciencias de la Educación, University of Granada, Granada, Spain

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    You can also search for this editor in PubMed   Google Scholar

  2. Egan J Chernoff

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

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

  • Analyses the specificity of stochastic reasoning in different situations
  • Addresses the complementarity of different views on probability in teaching
  • Explores the role of simulation to support students’ thought processes
  • Analyses the education of teachers to help teach probability-related problem-solving and simulation

Part of the book series: ICME-13 Monographs (ICME13Mo)

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Table of contents (20 chapters)

  1. Front Matter

    Pages i-xiii
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  2. Teaching Probability

    1. Front Matter

      Pages 1-1
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    2. Reasoning with Risk: Teaching Probability and Risk as Twin Concepts

      • Manfred Borovcnik, Ramesh Kapadia
      Pages 3-22

    3. Language and Lexical Ambiguity in the Probability Register

      • Adam Molnar
      Pages 23-37

    4. The Status of Probability in the Elementary and Lower Secondary School Mathematics Curriculum: The Rise and Fall of Probability in School Mathematics in the United States

      • Cynthia W. Langrall
      Pages 39-50

    5. Challenges and Opportunities in Experimentation-Based Instruction in Probability

      • Per Nilsson, Andreas Eckert, Dave Pratt
      Pages 51-71

    6. Visualising Conditional Probabilities—Three Perspectives on Unit Squares and Tree Diagrams

      • Katharina Böcherer-Linder, Andreas Eichler, Markus Vogel
      Pages 73-88

    7. Probability Concepts Needed for Teaching a Repeated Sampling Approach to Inference

      • Hollylynne S. Lee
      Pages 89-101

    8. Characterizing Probability Problems Posed in University Entrance Tests in Andalucia

      • Carmen Batanero, María del Mar López-Martín, Pedro Arteaga, María M. Gea
      Pages 103-123

    9. Random Walks in the Didactics of Probability: Enactive Metaphoric Learning Sprouts

      • Jorge Soto-Andrade, Daniela Díaz-Rojas, Pamela Reyes-Santander
      Pages 125-143

    10. The Role of Statistics Anxiety in Learning Probability

      • Caterina Primi, Maria Anna Donati, Francesca Chiesi
      Pages 145-157

  3. Students’ Reasoning and Learning

    1. Front Matter

      Pages 159-159
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    2. What 9- and 10-Year Old Pupils Already Know and What They Can Learn About Randomness

      • Peter Bryant, Terezinha Nunes, Deborah Evans, Rossana Barros, Laura Gottardis, Emanouela Terlektsi
      Pages 161-179

    3. Understanding Children’s Meanings of Randomness in Relation to Random Generators

      • Haneet Gandhi
      Pages 181-200

    4. Reasoning in Decision Making Under Uncertainty and Decisions of Risk in a Game of Chance

      • Ana Serradó Bayés
      Pages 201-221

    5. Determinism and Empirical Commitment in the Probabilistic Reasoning of High School Students

      • Ernesto Sánchez, Jaime I García-García, Miguel Mercado
      Pages 223-239

    6. Students’ Reasoning About Sample Space and Probabilities of Compound Events

      • Pedro Landín, Jesús Salinas
      Pages 241-260

    7. The Six Loses: Risky Decisions Between Probabilistic Reasoning and Gut Feeling

      • Joachim Engel, Arne Orthwein
      Pages 261-274

  4. Education of Teachers

    1. Front Matter

      Pages 275-275
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    2. Comparing the Relative Probabilities of Events

      • Egan J. Chernoff, Ilona Vashchyshyn, Heidi Neufeld
      Pages 277-291
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Keywords

About this book

This book presents a collection of selected papers that represent the current variety of research on the teaching and learning of probability. The respective chapters address a diverse range of theoretical, empirical and practical aspects underpinning the teaching and learning of probability, curricular issues, probabilistic reasoning, misconceptions and biases, as well as their pedagogical implications. These chapters are divided into THREE main sections, dealing with: TEACHING PROBABILITY, STUDENTS' REASONING AND LEARNING AND EDUCATION OF TEACHERS.


In brief, the papers presented here include research dealing with teachers and students at different levels and ages (from primary school to university) and address epistemological and curricular analysis, as well as the role of technology, simulations, language and visualisation in teaching and learning probability. As such, it offers essential information for teachers, researchers and curricular designers alike. 

Editors and Affiliations

  • Facultad de Ciencias de la Educación, University of Granada, Granada, Spain

    Carmen Batanero

  • College of Education, University of Saskatchewan, Saskatoon, Canada

    Egan J Chernoff

Bibliographic Information

  • Book Title: Teaching and Learning Stochastics

  • Book Subtitle: Advances in Probability Education Research

  • Editors: Carmen Batanero, Egan J Chernoff

  • Series Title: ICME-13 Monographs

  • DOI: https://doi.org/10.1007/978-3-319-72871-1

  • Publisher: Springer Cham

  • eBook Packages: Education, Education (R0)

  • Copyright Information: Springer International Publishing AG 2018

  • Hardcover ISBN: 978-3-319-72870-4Published: 12 March 2018

  • Softcover ISBN: 978-3-030-10282-1Published: 25 January 2019

  • eBook ISBN: 978-3-319-72871-1Published: 01 March 2018

  • Series ISSN: 2520-8322

  • Series E-ISSN: 2520-8330

  • Edition Number: 1

  • Number of Pages: XIII, 384

  • Number of Illustrations: 40 b/w illustrations

  • Topics: Mathematics Education, Probability Theory and Stochastic Processes, Teaching and Teacher Education, Learning & Instruction

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