Research on Teaching and Learning Probability

Carmen Batanero, Egan J. Chernoff, Joachim Engel, Hollylynne S. Lee, Ernesto Sánchez (Autoren)

Buch | Softcover

VII, 33 Seiten

2016 | 1st ed. 2016
Springer International Publishing (Verlag)
978-3-319-31624-6 (ISBN)

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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.

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

"The advertised purpose of the booklets was to update readers on recent developments in mathematics education. ... this booklet might best be used to give researchers an overview of the field of research into the nature of probability and research on learning and teaching it. It could also be useful to a graduate student looking for a topic for a disseration." (Robert W. Hayden, MAA Reviews, maa.org, February, 2017)

Erscheinungsdatum	16.08.2016
Reihe/Serie	ICME-13 Topical Surveys
Zusatzinfo	VII, 33 p. 1 illus.
Verlagsort	Cham
Sprache	englisch
Maße	155 x 235 mm
Themenwelt	Sozialwissenschaften ► Pädagogik ► Schulpädagogik / Grundschule
Schlagworte	Curriculum • Education • Epistemology • Learning & Instruction • Learning and Instruction • Learning & Instruction • mathematics education • Probabilistic Reasoning • Probability • Research • Teacher Education • Teaching and learning • Teaching and teacher education • Technology
ISBN-10	3-319-31624-9 / 3319316249
ISBN-13	978-3-319-31624-6 / 9783319316246
Zustand	Neuware