1.

Record Nr.

UNINA9910156519903321

Autore

Batanero C (Carmen)

Titolo

Research on Teaching and Learning Probability [[electronic resource] /] / by Carmen Batanero, Egan J. Chernoff, Joachim Engel, Hollylynne S. Lee, Ernesto Sánchez

Pubbl/distr/stampa

Cham, : Springer Nature, 2016

Cham : , : Springer International Publishing : , : Imprint : Springer, , 2016

ISBN

3-319-31625-7

Edizione

[1st ed. 2016.]

Descrizione fisica

1 online resource (VII, 33 p. 1 illus.)

Collana

ICME-13 Topical Surveys, , 2366-5947

Disciplina

370

Soggetti

Mathematics—Study and teaching 

Teaching

Learning

Instruction

Mathematics Education

Teaching and Teacher Education

Learning & Instruction

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Nota di contenuto

Main Topics You Can Find in this “ICME-13 Topical Survey” -- Introduction -- Survey on the State-of-the-art -- Summary and Looking Ahead.

Sommario/riassunto

This book summarizes the vast amount of research related to teaching and learning probability that has been conducted for more than 50 years in a variety of disciplines. It begins with a synthesis of the most important probability interpretations throughout history: intuitive, classical, frequentist, subjective, logical propensity and axiomatic views. It discusses their possible applications, philosophical problems, as well as their potential and the level of interest they enjoy at different educational levels. Next, the book describes the main features of probabilistic thinking and reasoning, including the contrast to classical logic, probability language features, the role of intuitions, as well as paradoxes and the relevance of modeling. It presents an analysis of the



differences between conditioning and causation, the variability expression in data as a sum of random and causal variations, as well as those of probabilistic versus statistical thinking. This is followed by an analysis of probability’s role and main presence in school curricula and an outline of the central expectations in recent curricular guidelines at the primary, secondary and high school level in several countries. This book classifies and discusses in detail the three different research periods on students’ and people’s intuitions and difficulties concerning probability: early research focused on cognitive development, a period of heuristics and biases programs, and the current period marked by a multitude of foci, approaches and theoretical frameworks.