# Repository | Series | Book

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.

"*Uncertainty is part of our lives and we all have todeal with it and make decisions in spite of it. Ability to use ideas from probability theory as a way of quantifying uncertainty needs to be an integral part of our education at many levels and this book will surely play a useful role.*" - **S.R.Srinivasa Varadhan**, Recipient of the 2007 Abel Prize in Mathematics and the 2010 National Medal of Science

"*A welcome look at probability, with philosophical and psychological perspectives that offer foundations for both students and teachers of probability at the school and university levels. Very comprehensive and promises a great deal to the reader. Teachers and students will benefit from articles that clarify the competition between the frequentist and the Bayesian views of probability*." - **Reuben Hersh**, Author of "What is Mathematics, Really?" and co-author of "The Mathematical Experience"

"*I often get asked why people find probability so unintuitive and difficult. After years of research, I have concluded it's because probability really is unintuitive and difficult. This ground-breaking text acknowledges the full complexity of teaching this subject: the contributions face up to the competing interpretations of probability, emphasising the close connection to both human psychology and real-world problem-solving tasks. I am personally very pleased to see the subjective interpretation taken seriously, while also admiring the suggestions for teaching the properties of modeled randomness. A very timely and valuable book.*" -**David Spiegelhalter**, Winston Professor for the Public Understanding of Risk, University of Cambridge

"*The teaching and learning of probability is challenging in several ways – coordinating its three theoretical perspectives (classical, frequentist, and subjective); managing its relationship to statistics; and reconciling the counter-intuitive nature of much probabilistic reasoning. This volume presents a comprehensive and in-depth review of this broad range of issues, by authors with the corresponding range of expertise and perspectives. It should be an invaluable resource for teachers of probability, at all levels*." -**Hyman Bass**, Samuel Eilenberg Distinguished University Professor of Mathematics & Mathematics Education - University of Michigan

Publication details

Full citation:

Chernoff, E. J. , Sriraman, B. (eds) (2014). *Probabilistic thinking: presenting plural perspectives*, Springer, Dordrecht.

Table of Contents

**Fostering children's probabilistic reasoning and first elements of risk evaluation**

Martignon Laura

149-160

**Intuitive conceptions of probability and the development of basic math skills**

Brase Gary L.; Martinie Sherri; Castillo-Garsow Carlos

161-194

**The interplay among knowledge, cognitive abilities and thinking styles in probabilistic reasoning**

Chiesi Francesca; Primi Caterina

195-214

**A brief overview and critique of perspective ii on probabilistic and statistical reasoning**

Lesh Richard; Sriraman Bharath

311-340

**Prospective primary school teachers' perception of randomness**

Batanero Carmen; Arteaga Pedro; Serrano Luis; Ruiz Blanca

345-366

**"It is very, very random because it doesn't happen very often"**

Jolfaee Simin; Zazkis Rina; Sinclair Nathalie

397-416

**Developing a modelling approach to probability using computer-based simulations**

Prodromou Theodosia

417-439

**Promoting statistical literacy through data modelling in the early school years**

English Lyn D.

441-457

**Commentary on the chapters on probability from a stochastic perspective**

Shaughnessy J. Michael

481-489

**Counting as a foundation for learning to reason about probability**

Maher Carolyn A.; Ahluwalia Anoop

559-580

**Levels of probabilistic reasoning of high school students about binomial problems**

Sánchez Ernesto

581-597

**Children's constructions of a sample space with respect to the law of large numbers**

Paparistodemou Efi

599-612

**Primary school students' attitudes to and beliefs about probability**

Williams Anne; Nisbet Steven

683-708

This document is unfortunately not available for download at the moment.