Teaching and Learning Stochastics: Advances in Probability Education Research

Front Matter ....Pages i-xiii
Front Matter ....Pages 1-1
 Reasoning with Risk: Teaching Probability and Risk as Twin Concepts  (Manfred Borovcnik, Ramesh Kapadia)....Pages 3-22
 Language and Lexical Ambiguity in the Probability Register  (Adam Molnar)....Pages 23-37
 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
 Challenges and Opportunities in Experimentation-Based Instruction in Probability  (Per Nilsson, Andreas Eckert, Dave Pratt)....Pages 51-71
 Visualising Conditional Probabilities—Three Perspectives on Unit Squares and Tree Diagrams  (Katharina Böcherer-Linder, Andreas Eichler, Markus Vogel)....Pages 73-88
 Probability Concepts Needed for Teaching a Repeated Sampling Approach to Inference  (Hollylynne S. Lee)....Pages 89-101
 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
 Random Walks in the Didactics of Probability: Enactive Metaphoric Learning Sprouts  (Jorge Soto-Andrade, Daniela Díaz-Rojas, Pamela Reyes-Santander)....Pages 125-143
 The Role of Statistics Anxiety in Learning Probability  (Caterina Primi, Maria Anna Donati, Francesca Chiesi)....Pages 145-157
Front Matter ....Pages 159-159
 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
 Understanding Children’s Meanings of Randomness in Relation to Random Generators  (Haneet Gandhi)....Pages 181-200
 Reasoning in Decision Making Under Uncertainty and Decisions of Risk in a Game of Chance  (Ana Serradó Bayés)....Pages 201-221
 Determinism and Empirical Commitment in the Probabilistic Reasoning of High School Students  (Ernesto Sánchez, Jaime I García-García, Miguel Mercado)....Pages 223-239
 Students’ Reasoning About Sample Space and Probabilities of Compound Events  (Pedro Landín, Jesús Salinas)....Pages 241-260
 The Six Loses: Risky Decisions Between Probabilistic Reasoning and Gut Feeling  (Joachim Engel, Arne Orthwein)....Pages 261-274
Front Matter ....Pages 275-275
 Comparing the Relative Probabilities of Events  (Egan J. Chernoff, Ilona Vashchyshyn, Heidi Neufeld)....Pages 277-291
 Preparing Teachers for Teaching Probability Through Problem Solving  (Pedro M. Huerta)....Pages 293-311
 Exploring Teachers’ Attitudes Towards Probability and Its Teaching  (Assumpta Estrada, Carmen Batanero, Carmen Díaz)....Pages 313-332
 Students’ Reflections About a Course for Learning Inferential Reasoning Via Simulations  (Susanne Podworny)....Pages 333-349
 Prospective Teachers’ Probabilistic Reasoning in the Context of Sampling  (Emilse Gómez-Torres, Carmen Díaz, José Miguel Contreras, Juan Jesús Ortiz)....Pages 351-372
Back Matter ....Pages 373-384