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Primary mathematics: teaching for understanding

Primary mathematics: teaching for understanding

Barmby, Patrick

"One feature of this book that sets it apart from others is the care that is taken to clarify the authors' interpretation of the phrase 'teaching for understanding'. Each component of this interpretation - connections, representations, reasoning, communication and misconceptions - is then successfully incorporated as a theme in the subsequent chapters that develop important mathematical topics." Ian Thompson, Visiting Professor at Edge Hill University and Northumbria University, UK This important book aims to support and develop teachers' understanding of the key primary mathematics topics. It takes an innovative approach by defining exactly what is meant by 'understanding' and uses this model to examine and explain various mathematical topics. The authors emphasize the importance of the different representations that can be used for mathematical concepts and inform the reasoning process. By focusing on understanding, the book also draws attention to common misconceptions that teachers may encounter in the classroom. Key features: Specific focus on 'understanding' to offer new insights in to how to teach the topics Case studies to demonstrate how to communicate mathematical topics in the classroom End of chapter questions to stimulate discussionThe authors integrate research and theory throughout, to highlight core issues. This theoretical background is also linked directly to classroom practice and informs suggestions for how topics can be communicated in the classroom. This offers valuable guidance to trainee teachers on how to teach the topics and presents experienced teachers with the opportunity to develop their subject and pedagogical knowledge

eBook, Electronic resource, Book. English. Electronic books.
Published Maidenhead: McGraw-Hill Open University Press, 2009
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Available: Online

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    Barcode Shelfmark Loan type Status
    2010375-1001 E-book Online Available


Statement of responsibility: Patrick Barmby ... [et al.]
ISBN: 0335239110, 9780335229260, 9780335239115
Note: Includes bibliographical references and index.
Physical Description: xi, 218 p. : ill.
Subject: Mathematics education; Mathematics Study and teaching (Elementary) Great Britain.; Primary education
Reproduction: Electronic reproduction. Dawson Books. Mode of access: World Wide Web.
Other formats: Also available in printed form.


  1. Introduction
  2. Using numbers
  3. Addition and substraction
  4. Multiplication and division
  5. Fractions
  6. Decimals
  7. Representing patterns of numbers
  8. Understanding shapes
  9. Measurements
  10. Data handling
  11. Problem solving

Author note

Patrick Barmby is Lecturer in the School of Education at Durham University where he coordinates and is one of the team delivering the mathematics for primary education courses to undergraduate trainee teachers.

Lynn Bilsborough is likewise one of the team delivering the mathematics for primary education courses to undergraduate trainee teachers.

Dr. Tony Harries is Senior Lecturer in mathematics education, as well as director of ITT at the School of Education.

Steve Higgins is Professor of Education at Durham University.