175 years of Springer publishing +++ Through June 30: 50% off Physics & Astronomy Books

ICME-13 Topical Surveys
Open Access This content is freely available online to anyone, anywhere at any time.

Research on Teaching and Learning Probability

Authors: Batanero, C., Chernoff, E.J., Engel, J., Lee, H.S., Sánchez, E.

  • Provides a comprehensive overview of the history of teaching and learning probability
  • Demonstrates the potential of students’ intuitions and difficulties as a field of research
  • Shows that teachers need more, higher-quality education to be equipped to teach probability
  • Includes a research agenda for the future
see more benefits

Buy this book

eBook  
  • ISBN 978-3-319-31625-3
  • This book is an open access book, you can download it for free on link.springer.com
Softcover 9,71 €
price for Spain (gross)
  • ISBN 978-3-319-31624-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
About this book

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.

Reviews

“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)


Table of contents (1 chapters)

  • Research on Teaching and Learning Probability

    Batanero, Carmen (et al.)

    Pages 1-33

Buy this book

eBook  
  • ISBN 978-3-319-31625-3
  • This book is an open access book, you can download it for free on link.springer.com
Softcover 9,71 €
price for Spain (gross)
  • ISBN 978-3-319-31624-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
Loading...

Recommended for you

Loading...

Bibliographic Information

Bibliographic Information
Book Title
Research on Teaching and Learning Probability
Authors
Series Title
ICME-13 Topical Surveys
Copyright
2016
Publisher
Springer International Publishing
Copyright Holder
© The Editor(s) (if applicable) and The Author(s)
eBook ISBN
978-3-319-31625-3
DOI
10.1007/978-3-319-31625-3
Softcover ISBN
978-3-319-31624-6
Series ISSN
2366-5947
Edition Number
1
Number of Pages
VII, 33
Number of Illustrations and Tables
1 b/w illustrations
Topics