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...
| Συγγραφή απο Οργανισμό/Αρχή: | |
|---|---|
| Άλλοι συγγραφείς: | , |
| Μορφή: | Ηλεκτρονική πηγή Ηλ. βιβλίο |
| Γλώσσα: | English |
| Έκδοση: |
Dordrecht :
Springer Netherlands : Imprint: Springer,
2014.
|
| Σειρά: | Advances in Mathematics Education,
|
| Θέματα: | |
| Διαθέσιμο Online: | Full Text via HEAL-Link |
Πίνακας περιεχομένων:
- 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.
