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Probabilistic thinking : presenting plural perspectives

Author: Egan J Chernoff; Bharath Sriraman
Publisher: Dordrecht ; New York : Springer, [2014] ©2014
Series: Advances in mathematics education (Springer (Firm))
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
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 and 6 commentaries. Ultimately, the four main perspectives presented in this volume (Mathematics and Philosophy,  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Chernoff, Egan J.
Probabilistic Thinking : Presenting Plural Perspectives.
Dordrecht : Springer, ©2013
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Egan J Chernoff; Bharath Sriraman
ISBN: 9789400771550 940077155X 9400771541 9789400771543
OCLC Number: 868923391
Description: 1 online resource (746 pages) : illustrations.
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.
Series Title: Advances in mathematics education (Springer (Firm))
Responsibility: Egan J. Chernoff, Bharath Sriraman, editors.

Abstract:

This volume investigates probabilistic thinking across the globe, from the perspective of mathematics and philosophy, psychology, stochastics and mathematics education.  Read more...

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