Title:
Probabilistic thinking : presenting plural perspectives
Series:
Advances in mathematics education
Publication Information:
Dordrecht ; New York : Springer, 2014
Physical Description:
xxi, 747 p. : ill. ; 24 cm.
ISBN:
9789400771543
Available:*
Library | Item Barcode | Call Number | Material Type | Item Category 1 | Status |
---|---|---|---|---|---|
Searching... | 30000010341173 | QA11.2 P76 2014 | Open Access Book | Book | Searching... |
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Summary
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, Psychology, Stochastics and Mathematics Education) are designed to represent probabilistic thinking in a greater context.
Table of Contents
Series PrefaceGabriele Kaiser and Bharath Sriraman |
Acknowledgements |
ForewordKeith Devlin |
IntroductionEgan Chernoff and Bharath Sriraman |
Perspective I: Mathematics And Philosophy |
Preface to Perspective I: Mathematics and PhilosophyEgan Chernoff and Gale Russell |
I.I A historical and philosophical perspective on probabilityManfred 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 randomnessAndreas Eichler and Markus Vogel |
I.IV A modeling perspective on probabilityMaxine Pfannkuch and Ilze Ziedins |
Commentary on Perspective I: Mathematics and PhilosophyBharath Sriraman and Kyeong-Hwa Lee |
Perspective II: Psychology |
Preface to Perspective II: PsychologyWim van Dooren |
II.I Statistical thinking: no child left behindBjrn Meder and Gerd Gigerenzer |
II.II The A-B-C of probabilistic literacyLaura Martignon |
II.III Intuitive conceptions of probability and the development of basic math skillsGary Brase and Sherri Martinie and Carlos Castillo-Garsow |
II.IV Testing a model on probabilistic reasoningFrancesca Chiesi and Caterina Primi |
II.V Revisiting the medical diagnosis problem: reconciling intuitive and analytical thinkingLisser Rye Ejersbo and Uri Leron |
II.VI Rethinking probability education: perceptual judgment as epistemic resourceDor Abrahamson |
II.VII Sticking to your guns: a flawed heuristic for probabilistic decision-makingDeborah Bennett |
II.VIII Developing probabilistic thinking: what about peoples' conceptionsAnnie Savard |
Commentary I on Perspective II: PsychologyBrian Greer |
Commentary II on Perspective II: PsychologyRichard Lesh and Bharath Sriraman |
PERSPECTIVE III: STOCHASTICS |
Preface to Perspective III: StochasticsBharath Sriraman and Egan Chernoff |
III.I Prospective primary school teachers' perception of randomnessCarmen Batanero and Pedro Arteaga and Luis Serrano and Blanca Ruiz |
III.II Challenges of developing coherent probabilistic reasoning: rethinking randomness and probability from a stochastic perspectiveLuis Saldanha and Yan Liu |
III.III "It is very, very random because it doesn't happen very often": examining learners' discourse on randomnessSimin Jolafee and Rina Zazkis and Nathalie Sinclair |
III.IV Developing a modelling approach to probability using computer-based simulationsTheodosia Prodromou |
III.V Promoting statistical literacy through data modelling in the early school years Lyn D Lyn, DLyn D |
III.VI Learning Bayesian statistics in adulthoodWolff-Michael Roth |
Commentary on Perspective III: StochasticsMike Shaughnessy |
PERSPECTIVE IV: MATHEMATICS EDUCATION |
Preface to Perspective IV: Mathematics EducationBharath Sriraman and Egan Chernoff |
IV.I A practitional perspective on probabilistic thinking models and frameworks Edward S Edward, SEdward S |
IV.II Experimentation in probability teaching and learningPer Nilsson |
IV.III Investigating the dynamics of stochastic learning processesSusanne Prediger and Susanne Schnell |
IV.IV Counting as a foundation for learning to reason about probabilityCarolyn A. Maher and Anoop Ahluwalia |
IV.V Levels of probabilistic reasoning of high school students about binomial problemsErnesto Snchez and Pedro Rubn Landn |
IV.VI Children's construction of sample space with respect to the law of large numbersEfi Paparistodemou |
IV.VII Researching conditional probability problem solvingPedro Huerta |
IV.VIII Real life experiences as hindrance in probabilistic situationsAmi Mamolo and Rina Zazkis |
IV.IX Influence of culture on high school students' probabilistic thinkingSashi Sharma |
IV.X Primary school students' attitudes to and beliefs about probabilitySteven Nisbet and Anne Williams |
Commentary on Perspective IV: Mathematics EducationJane Watson |
COMMENTARY on Probabilistic Thinking: Presenting Plural PerspectivesEgan Chernoff and Bharath Sriraman |
Author Index |
Subject Index |