Teaching and Learning Stochastics

1. Front Matter

   Pages i-xiii

   PDF

2. Teaching Probability

   1. Front Matter

      Pages 1-1

      PDF

   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

      PDF

   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

      PDF

   2. Comparing the Relative Probabilities of Events

      • Egan J. Chernoff, Ilona Vashchyshyn, Heidi Neufeld

      Pages 277-291

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. 

• probabilistic reasoning
• misconceptions
• biases
• stochastic reasoning
• probability interventions
• teachers’ attitudes
• probability models
• experimentation-based instruction
• visualisation tools
• learning and instruction

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

  Carmen Batanero

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

  Egan J Chernoff

Policies and ethics