Preface to perspective I

mathematics and philosophy

Egan J. Chernoff, Gale L. Russell

3-5

A historical and philosophical perspective on probability

Manfred Borovcnik, Ramesh Kapadia

7-34

From puzzles and paradoxes to concepts in probability

Manfred Borovcnik, Ramesh Kapadia

35-73

Three approaches for modelling situations with randomness

Andreas Eichler, Markus Vogel

75-99

A modelling perspective on probability

Maxine Pfannkuch, Ilze Ziedins

101-116

Commentary on perspective I

the humanistic dimensions of probability

Bharath Sriraman, Kyeong-Hwa Lee

117-119

Probabilistic thinking

analyses from a psychological perspective

Wim Van Dooren

123-126

Statistical thinking

no one left behind

Björn Meder, Gerd Gigerenzer

127-148

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

Laura Martignon

149-160

Intuitive conceptions of probability and the development of basic math skills

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

161-194

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

a test of a model

Francesca Chiesi, Caterina Primi

195-214

Rethinking probability education

perceptual judgment as epistemic resource

Dor Abrahamson

239-260

Sticking to your guns

a flawed heuristic for probabilistic decision-making

Deborah Bennett

261-281

Developing probabilistic thinking

what about people's conceptions?

Annie Savard

283-298

Commentary on perspective ii

Psychology

Brian Greer

299-309

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

Richard Lesh, Bharath Sriraman

311-340

Preface to perspective iii

stochastics

Egan J. Chernoff, Gale L. Russell

343-344

Prospective primary school teachers' perception of randomness

Carmen Batanero, Pedro Arteaga, Luis Serrano, Blanca Ruiz

345-366

Challenges of developing coherent probabilistic reasoning

rethinking randomness and probability from a stochastic perspective

Luis Saldanha, Yan Liu

367-396

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

examining learners' discourse on randomness

Simin Jolfaee, Rina Zazkis, Nathalie Sinclair

397-416

Developing a modelling approach to probability using computer-based simulations

Theodosia Prodromou

417-439

Promoting statistical literacy through data modelling in the early school years

Lyn D. English

441-457

Learning bayesian statistics in adulthood

Wolff-Michael Roth

459-479

Commentary on the chapters on probability from a stochastic perspective

J. M. Shaughnessy

481-489

Preface to perspective IV

Mathematics education

Egan J. Chernoff, Gale L. Russell

493-494

A practitional perspective on probabilistic thinking models and frameworks

Edward F. Mooney

495-507

Experimentation in probability teaching and learning

Per Nilsson

509-532

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

533-558

Counting as a foundation for learning to reason about probability

Carolyn A. Maher, Anoop Ahluwalia

559-580

Levels of probabilistic reasoning of high school students about binomial problems

Ernesto Sánchez

581-597

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

Efi Paparistodemou

599-612

Researching conditional probability problem solving

613-639

Contextual considerations in probabilistic situations

an aid or a hindrance?

Ami Mamolo, Rina Zazkis

641-656

Primary school students' attitudes to and beliefs about probability

Anne Williams, Steven Nisbet

683-708

Section iv commentary

the perspective of mathematics education

Jane M. Watson

709-720

Commentary on probabilistic thinking

presenting plural perspectives

Egan J. Chernoff, Bharath Sriraman

721-727