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Probabilistic Thinking Presenting Plural Perspectives /

This volume provides a necessary, current and extensive analysis of probabilistic thinking from a number of mathematicians, mathematics educators, and psychologists. The work of 58 contributing authors, investigating probabilistic thinking across the globe, is encapsulated in 6 prefaces, 29 chapters...

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Bibliographic Details
Corporate Author: SpringerLink (Online service)
Other Authors: Chernoff, Egan J. (Editor, http://id.loc.gov/vocabulary/relators/edt), Sriraman, Bharath. (Editor, http://id.loc.gov/vocabulary/relators/edt)
Format: Electronic eBook
Language:English
Published: Dordrecht : Springer Netherlands : Imprint: Springer, 2014.
Edition:1st ed. 2014.
Series:Advances in Mathematics Education,
Subjects:
Mathematics—Study and teaching .
Probabilities.
Philosophy and social sciences.
Mathematics Education.
Probability Theory and Stochastic Processes.
Philosophy of Education.
Online Access:https://doi.org/10.1007/978-94-007-7155-0
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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.

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