Chernoff, Egan J.

Probabilistic Thinking

Chernoff, Egan J. - Probabilistic Thinking, ebook


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Table of contents

1. Preface to Perspective I: Mathematics and Philosophy
Egan J. Chernoff, Gale L. Russell

2. A Historical and Philosophical Perspective on Probability
Manfred Borovcnik, Ramesh Kapadia

3. From Puzzles and Paradoxes to Concepts in Probability
Manfred Borovcnik, Ramesh Kapadia

4. Three Approaches for Modelling Situations with Randomness
Andreas Eichler, Markus Vogel

5. A Modelling Perspective on Probability
Maxine Pfannkuch, Ilze Ziedins

6. Commentary on Perspective I: The Humanistic Dimensions of Probability
Bharath Sriraman, Kyeonghwa Lee

7. Probabilistic Thinking: Analyses from a Psychological Perspective
Wim Dooren

8. Statistical Thinking: No One Left Behind
Björn Meder, Gerd Gigerenzer

9. Fostering Children’s Probabilistic Reasoning and First Elements of Risk Evaluation
Laura Martignon

10. Intuitive Conceptions of Probability and the Development of Basic Math Skills
Gary L. Brase, Sherri Martinie, Carlos Castillo-Garsow

11. The Interplay Among Knowledge, Cognitive Abilities and Thinking Styles in Probabilistic Reasoning: A Test of a Model
Francesca Chiesi, Caterina Primi

12. Revisiting the Medical Diagnosis Problem: Reconciling Intuitive and Analytical Thinking
Lisser Rye Ejersbo, Uri Leron

13. Rethinking Probability Education: Perceptual Judgment as Epistemic Resource
Dor Abrahamson

14. Sticking to Your Guns: A Flawed Heuristic for Probabilistic Decision-Making
Deborah Bennett

15. Developing Probabilistic Thinking: What About People’s Conceptions?
Annie Savard

16. Commentary on Perspective II: Psychology
Brian Greer

17. A Brief Overview and Critique of Perspective II on Probabilistic and Statistical Reasoning
Richard Lesh, Bharath Sriraman

18. Preface to Perspective III: Stochastics
Egan J. Chernoff, Gale L. Russell

19. Prospective Primary School Teachers’ Perception of Randomness
Carmen Batanero, Pedro Arteaga, Luis Serrano, Blanca Ruiz

20. Challenges of Developing Coherent Probabilistic Reasoning: Rethinking Randomness and Probability from a Stochastic Perspective
Luis Saldanha, Yan Liu

21. “It Is Very, Very Random Because It Doesn’t Happen Very Often”: Examining Learners’ Discourse on Randomness
Simin Jolfaee, Rina Zazkis, Nathalie Sinclair

22. Developing a Modelling Approach to Probability Using Computer-Based Simulations
Theodosia Prodromou

23. Promoting Statistical Literacy Through Data Modelling in the Early School Years
Lyn D. English

24. Learning Bayesian Statistics in Adulthood
Wolff-Michael Roth

25. Commentary on the Chapters on Probability from a Stochastic Perspective
J. Michael Shaughnessy

26. Preface to Perspective IV: Mathematics Education
Egan J. Chernoff, Gale L. Russell

27. A Practitional Perspective on Probabilistic Thinking Models and Frameworks
Edward S. Mooney, Cynthia W. Langrall, Joshua T. Hertel

28. Experimentation in Probability Teaching and Learning
Per Nilsson

29. Investigating the Dynamics of Stochastic Learning Processes: A Didactical Research Perspective, Its Methodological and Theoretical Framework, Illustrated for the Case of the Short Term–Long Term Distinction
Susanne Prediger, Susanne Schnell

30. Counting as a Foundation for Learning to Reason About Probability
Carolyn A. Maher, Anoop Ahluwalia

31. Levels of Probabilistic Reasoning of High School Students About Binomial Problems
Ernesto Sánchez, Pedro Rubén Landín

32. Children’s Constructions of a Sample Space with Respect to the Law of Large Numbers
Efi Paparistodemou

33. Researching Conditional Probability Problem Solving
M. Pedro Huerta

34. Contextual Considerations in Probabilistic Situations: An Aid or a Hindrance?
Ami Mamolo, Rina Zazkis

35. Cultural Influences in Probabilistic Thinking
Sashi Sharma

36. Primary School Students’ Attitudes To and Beliefs About Probability
Anne Williams, Steven Nisbet

37. Section IV Commentary: The Perspective of Mathematics Education
Jane M. Watson

38. Commentary on Probabilistic Thinking: Presenting Plural Perspectives

Egan J. Chernoff, Bharath Sriraman

Keywords: Education, Mathematics Education, Probability Theory and Stochastic Processes, Philosophy of Education

Publication year
Advances in Mathematics Education
Page amount
21 pages
Upbringing, Education

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