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

Format:

Book

Author/Creator:

Batanero, C. (Carmen), Author.

Chernoff, Egan J., Author.

Engel, Joachim., Author.

Lee, Hollylynne, Author.

Sanchez, Ernesto, Author.

Series:

ICME-13 Topical Surveys, 2366-5955

Language:

English

Subjects (All):

Mathematics--Study and teaching.

Mathematics.

Teachers--Training of.

Teachers.

Learning, Psychology of.

Mathematics Education.

Teaching and Teacher Education.

Instructional Psychology.

Local Subjects:

Mathematics Education.

Teaching and Teacher Education.

Instructional Psychology.

Physical Description:

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

Edition:

1st ed. 2016.

Place of Publication:

2016.

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

Language Note:

English

Summary:

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.

Contents:

Main Topics You Can Find in this “ICME-13 Topical Survey”

Introduction

Survey on the State-of-the-art

Summary and Looking Ahead.

Notes:

CC BY-NC

ISBN:

9783319316253

3319316257

OCLC:

1076252728