Probabilistic Thinking Presenting Plural Perspectives / [electronic resource] :
edited by Egan J. Chernoff, Bharath Sriraman.
- Dordrecht : Springer Netherlands, 2014.
- 1 online resource (XXI, 747 p. 164 ill.)
- Advances in Mathematics Education, 1869-4918 .
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.
9789400771550
Education. Philosophy and social sciences. Probabilities. Mathematics--Study and teaching.