Linked e-resources
Details
Table of Contents
SERIES PREFACE: Gabriele Kaiser and Bharath Sriraman
ACKNOWLEDGEMENTS
FOREWORD: Keith Devlin
INTRODUCTION: Egan Chernoff and Bharath Sriraman
PERSPECTIVE I: MATHEMATICS AND PHILOSOPHY
Preface to Perspective I: Mathematics and Philosophy: Egan Chernoff and Gale Russell
I.I. A historical and philosophical perspective on probability: Manfred Borovcnik and Ramesh Kapadia
I.II. From puzzles and paradoxes to concepts in probability: Manfred Borovcnik and Ramesh Kapadia
I.III. Three approaches for modeling situation with randomness: Andreas Eichler and Markus Vogel
I.IV. A modeling perspective on probability: Maxine Pfannkuch and Ilze Ziedins
Commentary on Perspective I: Mathematics and Philosophy: Bharath Sriraman and Kyeong-Hwa Lee
PERSPECTIVE II: PSYCHOLOGY
Preface to Perspective II: Psychology : Wim van Dooren
II.I. Statistical thinking: no child left behind: Björn Meder and Gerd Gigerenzer
II.II. The A-B-C of probabilistic literacy: Laura Martignon
II.III. Intuitive conceptions of probability and the development of basic math skills: Gary Brase, Sherri Martinie and Carlos Castillo-Garsow
II.IV. Testing a model on probabilistic reasoning: Francesca Chiesi and Caterina Primi
II.V. Revisiting the medical diagnosis problem: reconciling intuitive and analytical thinking: Lisser Rye Ejersbo and Uri Leron
II.VI. Rethinking probability education: perceptual judgment as epistemic resource: Dor Abrahamson
II.VII. Sticking to your guns: a flawed heuristic for probabilistic decision-making: Deborah Bennett
II.VIII. Developing probabilistic thinking: what about peoples' conceptions: Annie Savard
Commentary I on Perspective II: Psychology : Brian Greer
Commentary II on Perspective II: Psychology: Richard Lesh and Bharath Sriraman
PERSPECTIVE III: STOCHASTICS
Preface to Perspective III: Stochastics: Bharath Sriraman and Egan Chernoff
III.I. Prospective primary school teachers' perception of randomness: Carmen Batanero, Pedro Arteaga, Luis Serrano and Blanca Ruiz
III.II. Challenges of developing coherent probabilistic reasoning: rethinking randomness and probability from a stochastic perspective: Luis Saldanha and Yan Liu
III.III. 'It is very, very random because it doesn't happen very often': examining learners' discourse on randomness: Simin Jolafee, Rina Zazkis and Nathalie Sinclair
III.IV. Developing a modelling approach to probability using computer-based simulations: Theodosia Prodromou
III.V. Promoting statistical literacy through data modelling in the early school years: Lyn D. English
III.VI. Learning Bayesian statistics in adulthood: Wolff-Michael Roth
Commentary on Perspective III: Stochastics: Mike Shaughnessy
PERSPECTIVE IV: MATHEMATICS EDUCATION
Preface to Perspective IV: Mathematics Education: Bharath Sriraman and Egan Chernoff
IV.I. A practitional perspective on probabilistic thinking models and frameworks: Edward S. Mooney, Cynthia Langrall and Joshua T. Hertel
IV.II. Experimentation in probability teaching and learning: Per Nilsson
IV.III. Investigating the dynamics of stochastic learning processes: Susanne Prediger and Susanne Schnell
IV.IV. Counting as a foundation for learning to reason about probability: Carolyn A. Maher and Anoop Ahluwalia
IV.V. Levels of probabilistic reasoning of high school students about binomial problems: Ernesto Sánchez and Pedro Rubén Landín
IV.VI. Children's construction of sample space with respect to the law of large numbers: Efi Paparistodemou
IV.VII. Researching conditional probability problem solving: Pedro Huerta
IV.VIII. Real life experiences as hindrance in probabilistic situations: Ami Mamolo and Rina Zazkis
IV.IX. Influence of culture on high school students' probabilistic thinking: Sashi Sharma
IV.X. Primary school students' attitudes to and beliefs about probability: Steven Nisbet and Anne Williams
Commentary on Perspective IV: Mathematics Education: Jane Watson
COMMENTARY on Probabilistic Thinking: Presenting Plural Perspectives: Egan Chernoff and Bharath Sriraman
AUTHOR INDEX
SUBJECT INDEX.
ACKNOWLEDGEMENTS
FOREWORD: Keith Devlin
INTRODUCTION: Egan Chernoff and Bharath Sriraman
PERSPECTIVE I: MATHEMATICS AND PHILOSOPHY
Preface to Perspective I: Mathematics and Philosophy: Egan Chernoff and Gale Russell
I.I. A historical and philosophical perspective on probability: Manfred Borovcnik and Ramesh Kapadia
I.II. From puzzles and paradoxes to concepts in probability: Manfred Borovcnik and Ramesh Kapadia
I.III. Three approaches for modeling situation with randomness: Andreas Eichler and Markus Vogel
I.IV. A modeling perspective on probability: Maxine Pfannkuch and Ilze Ziedins
Commentary on Perspective I: Mathematics and Philosophy: Bharath Sriraman and Kyeong-Hwa Lee
PERSPECTIVE II: PSYCHOLOGY
Preface to Perspective II: Psychology : Wim van Dooren
II.I. Statistical thinking: no child left behind: Björn Meder and Gerd Gigerenzer
II.II. The A-B-C of probabilistic literacy: Laura Martignon
II.III. Intuitive conceptions of probability and the development of basic math skills: Gary Brase, Sherri Martinie and Carlos Castillo-Garsow
II.IV. Testing a model on probabilistic reasoning: Francesca Chiesi and Caterina Primi
II.V. Revisiting the medical diagnosis problem: reconciling intuitive and analytical thinking: Lisser Rye Ejersbo and Uri Leron
II.VI. Rethinking probability education: perceptual judgment as epistemic resource: Dor Abrahamson
II.VII. Sticking to your guns: a flawed heuristic for probabilistic decision-making: Deborah Bennett
II.VIII. Developing probabilistic thinking: what about peoples' conceptions: Annie Savard
Commentary I on Perspective II: Psychology : Brian Greer
Commentary II on Perspective II: Psychology: Richard Lesh and Bharath Sriraman
PERSPECTIVE III: STOCHASTICS
Preface to Perspective III: Stochastics: Bharath Sriraman and Egan Chernoff
III.I. Prospective primary school teachers' perception of randomness: Carmen Batanero, Pedro Arteaga, Luis Serrano and Blanca Ruiz
III.II. Challenges of developing coherent probabilistic reasoning: rethinking randomness and probability from a stochastic perspective: Luis Saldanha and Yan Liu
III.III. 'It is very, very random because it doesn't happen very often': examining learners' discourse on randomness: Simin Jolafee, Rina Zazkis and Nathalie Sinclair
III.IV. Developing a modelling approach to probability using computer-based simulations: Theodosia Prodromou
III.V. Promoting statistical literacy through data modelling in the early school years: Lyn D. English
III.VI. Learning Bayesian statistics in adulthood: Wolff-Michael Roth
Commentary on Perspective III: Stochastics: Mike Shaughnessy
PERSPECTIVE IV: MATHEMATICS EDUCATION
Preface to Perspective IV: Mathematics Education: Bharath Sriraman and Egan Chernoff
IV.I. A practitional perspective on probabilistic thinking models and frameworks: Edward S. Mooney, Cynthia Langrall and Joshua T. Hertel
IV.II. Experimentation in probability teaching and learning: Per Nilsson
IV.III. Investigating the dynamics of stochastic learning processes: Susanne Prediger and Susanne Schnell
IV.IV. Counting as a foundation for learning to reason about probability: Carolyn A. Maher and Anoop Ahluwalia
IV.V. Levels of probabilistic reasoning of high school students about binomial problems: Ernesto Sánchez and Pedro Rubén Landín
IV.VI. Children's construction of sample space with respect to the law of large numbers: Efi Paparistodemou
IV.VII. Researching conditional probability problem solving: Pedro Huerta
IV.VIII. Real life experiences as hindrance in probabilistic situations: Ami Mamolo and Rina Zazkis
IV.IX. Influence of culture on high school students' probabilistic thinking: Sashi Sharma
IV.X. Primary school students' attitudes to and beliefs about probability: Steven Nisbet and Anne Williams
Commentary on Perspective IV: Mathematics Education: Jane Watson
COMMENTARY on Probabilistic Thinking: Presenting Plural Perspectives: Egan Chernoff and Bharath Sriraman
AUTHOR INDEX
SUBJECT INDEX.