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9781909330696

Critical Teaching

Patrick Barmby

Critical Publishing

19 May 2014

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This up to date book is essential reading for all those teaching or training to teach primary mathematics. Problem solving is a key aspect of teaching and learning mathematics, but also an area where teachers and pupils often struggle. Set within the context of the new primary curriculum and drawing on research and practice, the book identifies the key knowledge and skills required in teaching and learning problem solving in mathematics, and examines how these and can be applied in the classroom. It explores the issues in depth while remaining straightforward and relevant, emphasises the enrichment of maths through problem-solving, and provides opportunities for teachers to reflect on and further develop their classroom practice.

Understanding and enriching problem solving in primary mathematics

  • August 2014
  • Publisher: Critical Publishing
  • ISBN: 9781909330696

Patrick Barmby at University of the Witwatersrand

  • University of the Witwatersrand

David S. Bolden at Durham University

  • Durham University

Lynn Thompson at Durham University

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  • DOI: 10.1080/03004279.2015.1068823
  • Corpus ID: 146344014

Understanding and enriching problem solving in primary mathematics

  • Shelagh Whyte
  • Published 4 March 2017
  • Mathematics, Education
  • Education 3-13

10 Citations

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Understanding and Enriching Problem Solving in Primary Mathematics 1st Edition

Cover image: Understanding and Enriching Problem Solving in Primary Mathematics 1st edition 9781909330696

  • Author(s) Patrick Barmby; David Bolden; Lynn Thompson
  • Publisher Critical Publishing

Print ISBN 9781909330696, 1909330698

Etext isbn 9781909330719, 190933071x.

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Understanding and Enriching Problem Solving in Primary Mathematics 1st Edition is written by Patrick Barmby; David Bolden; Lynn Thompson and published by Critical Publishing. The Digital and eTextbook ISBNs for Understanding and Enriching Problem Solving in Primary Mathematics are 9781909330719, 190933071X and the print ISBNs are 9781909330696, 1909330698. Save up to 80% versus print by going digital with VitalSource.

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Understanding and enriching problem solving in primary mathematics

understanding and enriching problem solving in primary mathematics

Set within the context of the new primary curriculum and drawing on research and practice, the book identifies the key knowledge and skills required in teaching and learning problem solving in mathematics, and examines how these and can be applied in the classroom. It explores the issues in depth while remaining straightforward and relevant, emphasises the enrichment of maths through problem-solving, and provides opportunities for teachers to reflect on and further develop their classroom practice.

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Subject(s)Mathematics
Author(s)Patrick Marmby, David Bolden, Lynn Thompson
Age5-7, 7-11
Published2014
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Shelf reference372.7076 BAR
ISN/ISBN9781909330696
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Understanding and enriching problem solving in primary mathematics

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2015, Education 3-13

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ABSTRACT Introduces this special issue of the Journal of Mathematical Behavior. This special issue originated from the 10th International Congress of Mathematics Education's Topic Study Group 18: Problem Solving in Mathematics Education. The general aims of the Topic Study Group were to provide a forum for those who are interested in any aspect of problem-solving research at any educational level, to present recent findings, and to exchange ideas. We set up three specific goals for the Problem Solving Topic Study Group: (1) to examine the understanding of the complex cognitive processes involved in problem solving; (2) to explore the actual mechanisms by which students learn and make sense of mathematics through problem solving, and how this can be supported by teachers; and (3) to identify future directions of problem-solving research, including the use of information technology. The Topic Study Group received a good response. Most of the papers in this special issue are from those who presented at the Topic Study Group. In addition, we invited a few other researchers to submit papers in order to cover various aspects of problem-solving research that we wished to be represented in this issue. This special issue includes 12 papers, each addressing at least one of the three goals listed above. The first six papers that appear are empirically based; in these papers, the authors present the results of the fieldwork that they have conducted and also raise research questions for future studies. The remaining six papers are essays discussing issues about problem solving, and how these issues have been, or should be, the subjects of research. In this article, we briefly highlight the contributions of each of the 12 papers. (PsycINFO Database Record (c) 2012 APA, all rights reserved)

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Understanding and Enriching Problem Solving in Primary Mathematics (Critical Teaching) Paperback – 18 Jun. 2014

  • ISBN-10 1909330698
  • ISBN-13 978-1909330696
  • Publisher Critical Publishing
  • Publication date 18 Jun. 2014
  • Part of series Critical Teaching
  • Language English
  • Dimensions 17.4 x 0.76 x 24.64 cm
  • Print length 160 pages
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Math Trivia and Riddles for Really Smart Kids: Fun Math Brain Teasers for the Entire Family (Brain Teasing Books for Kids)

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I like the fact that it is focused on problem solving and relates to the new curriculum. The chapters are structured clearly with Key Issues identified early for ease of finding relevant sections. Reflections and questions are useful to direct student teachers toward in being 'active' readers. This will be particularly supportive of specialist student teachers and those who wish to develop more 'open approaches' (a useful section in the book). There is nothing that stands out to dislike.

About the Author

Patrick Barmby is a Lecturer in Primary Mathematics at Durham University and is the Programme Director for the BA Primary Education course at Durham. Patrick’s area of research is in primary mathematics, with a particular focus on developing children’s understanding in maths. He has also carried out research projects on developing teachers’ knowledge in primary maths. For him, one of the best parts of teaching on the Primary Education degree at Durham University is not only influencing student teachers’ practice in primary maths, but also being influenced himself by the wealth of experiences and expertise from the classroom that students bring to the sessions.

David Bolden is a Lecturer in Mathematics Education  at Durham University. After earning his first degree from Newcastle University he went on to teach and obtain an MSc in Social Research. In 1999 he took up a research post at the University of Northumbria where he stayed for six years, primarily conducting evaluation research and lecturing on ITE programmes. While at Northumbria, he completed his doctoral thesis at Durham University, focusing on primary teachers’ epistemological views of mathematics. He moved to Durham University’s School of Education in 2006, where he teaches on the BA Primary Education, PGCE Primary Education and the MSc Mathematics Education courses. His research interests include, and he has published in the areas of, creativity in mathematics, the use of representations in developing confidence and understanding in mathematics and teacher epistemologies (particularly in relation to primary mathematics).

Lynn Thompson is an educational consultant and founder of North East School Support (NESS), supporting schools to raise standards and improve the teaching and learning of mathematics. She also teaches part time on the Primary BA and PGCE courses at Durham University. 

Product details

  • Publisher ‏ : ‎ Critical Publishing (18 Jun. 2014)
  • Language ‏ : ‎ English
  • Paperback ‏ : ‎ 160 pages
  • ISBN-10 ‏ : ‎ 1909330698
  • ISBN-13 ‏ : ‎ 978-1909330696
  • Dimensions ‏ : ‎ 17.4 x 0.76 x 24.64 cm
  • 1,973 in Primary Education (Books)
  • 2,924 in Mathematics for Young Adults
  • 4,137 in Children's Books on Maths

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Patrick barmby.

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Patrick Barmby

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Understanding and Enriching Problem Solving in Primary Mathematics (Critical Teaching) Kindle Edition

This up to date book is essential reading for all those teaching or training to teach primary mathematics. Problem solving is a key aspect of teaching and learning mathematics, but also an area where teachers and pupils often struggle. Set within the context of the new primary curriculum and drawing on research and practice, the book identifies the key knowledge and skills required in teaching and learning problem solving in mathematics, and examines how these and can be applied in the classroom. It explores the issues in depth while remaining straightforward and relevant, emphasises the enrichment of maths through problem-solving, and provides opportunities for teachers to reflect on and further develop their classroom practice.

  • ISBN-13 978-1909330696
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  • Publication date May 19, 2014
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Teaching and Learning Early Years Mathematics: Subject and Pedagogic Knowledge (Critical Teaching)

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I like the fact that it is focused on problem solving and relates to the new curriculum. The chapters are structured clearly with Key Issues identified early for ease of finding relevant sections. Reflections and questions are useful to direct student teachers toward in being 'active' readers. This will be particularly supportive of specialist student teachers and those who wish to develop more 'open approaches' (a useful section in the book). There is nothing that stands out to dislike.

About the Author

Patrick Barmby is a Lecturer in Primary Mathematics at Durham University and is the Programme Director for the BA Primary Education course at Durham. Patrick’s area of research is in primary mathematics, with a particular focus on developing children’s understanding in maths. He has also carried out research projects on developing teachers’ knowledge in primary maths. For him, one of the best parts of teaching on the Primary Education degree at Durham University is not only influencing student teachers’ practice in primary maths, but also being influenced himself by the wealth of experiences and expertise from the classroom that students bring to the sessions.

David Bolden is a Lecturer in Mathematics Education  at Durham University. After earning his first degree from Newcastle University he went on to teach and obtain an MSc in Social Research. In 1999 he took up a research post at the University of Northumbria where he stayed for six years, primarily conducting evaluation research and lecturing on ITE programmes. While at Northumbria, he completed his doctoral thesis at Durham University, focusing on primary teachers’ epistemological views of mathematics. He moved to Durham University’s School of Education in 2006, where he teaches on the BA Primary Education, PGCE Primary Education and the MSc Mathematics Education courses. His research interests include, and he has published in the areas of, creativity in mathematics, the use of representations in developing confidence and understanding in mathematics and teacher epistemologies (particularly in relation to primary mathematics).

Lynn Thompson is an educational consultant and founder of North East School Support (NESS), supporting schools to raise standards and improve the teaching and learning of mathematics. She also teaches part time on the Primary BA and PGCE courses at Durham University. 

Product details

  • ASIN ‏ : ‎ B00ON3DNBS
  • Publisher ‏ : ‎ Critical Publishing (May 19, 2014)
  • Publication date ‏ : ‎ May 19, 2014
  • Language ‏ : ‎ English
  • File size ‏ : ‎ 2327 KB
  • Text-to-Speech ‏ : ‎ Enabled
  • Screen Reader ‏ : ‎ Supported
  • Enhanced typesetting ‏ : ‎ Enabled
  • X-Ray ‏ : ‎ Not Enabled
  • Word Wise ‏ : ‎ Enabled
  • Sticky notes ‏ : ‎ On Kindle Scribe
  • Print length ‏ : ‎ 144 pages
  • #16,439 in Pedagogy
  • #82,412 in Instruction Methods

About the authors

Patrick barmby.

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by Patrick Barmby , David Bolden , Lynn Thompson

This up to date book is essential reading for all those teaching or training to teach primary mathematics. Problem solving is a key aspect of teaching and learning mathematics, but also an area where teachers and pupils often struggle. Set within the context of the new primary curriculum and drawing on research and practice, the book identifies the key knowledge and skills required in teaching and learning problem solving in mathematics, and examines how these and can be applied in the classroom. It explores the issues in ... Read More

This up to date book is essential reading for all those teaching or training to teach primary mathematics. Problem solving is a key aspect of teaching and learning mathematics, but also an area where teachers and pupils often struggle. Set within the context of the new primary curriculum and drawing on research and practice, the book identifies the key knowledge and skills required in teaching and learning problem solving in mathematics, and examines how these and can be applied in the classroom. It explores the issues in depth while remaining straightforward and relevant, emphasises the enrichment of maths through problem-solving, and provides opportunities for teachers to reflect on and further develop their classroom practice. Read Less

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This up to date book is essential reading for all those teaching or training to teach primary mathematics. Problem solving is a key aspect of teaching and learning mathematics, but also an area where teachers and pupils often struggle. Set within the context of the new primary curriculum and drawing on research and practice, the book identifies the key knowledge and skills required in teaching and learning problem solving in mathematics, and examines how these and can be applied in the classroom. It explores the issues in depth while remaining straightforward and relevant, emphasises the enrichment of maths through problem-solving, and provides opportunities for teachers to reflect on and further develop their classroom practice.

Barmby, P., Bolden, D., & Thompson, L. (2014). Understanding and Enriching Problem-Solving in Primary Mathematics Classrooms. Critical Publishing

Book Type Authored Book
Online Publication Date May 19, 2014
Publication Date 2014-05
Deposit Date Oct 2, 2014
Series Title Critical teaching
Public URL
Publisher URL

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  1. Understanding and Enriching Problem Solving in Primary Mathematics

    This up to date book is essential reading for all those teaching or training to teach primary mathematics. Problem solving is a key aspect of teaching and learning mathematics, but also an area where teachers and pupils often struggle. Set within the context of the new primary curriculum and drawing on research and practice, the book identifies the key knowledge and skills required in teaching ...

  2. Understanding and enriching problem solving in primary mathematics

    Understanding and enriching problem solving in primary mathematics Shelagh Whyte School of Education, University of Strathclyde, Lord Hope Building, 141 St James Road, GlasgowG4 0LT, UK Correspondence [email protected]

  3. PDF Understanding And Enriching Problem Solving In Primary Mathematics

    Understanding and Enriching Problem Solving in Primary Mathematics Patrick Barmby,David Bolden,Lynn Thompson,2014-05-19 This up to date book is essential reading for all those teaching or training to teach primary mathematics. Problem solving is a key aspect of teaching and learning mathematics, but also an area where teachers and pupils often ...

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    Problem-solving is a model that exposes students to a problem that must be solved, meaning that students are given a problem to find a solution to find knowledge (Fitria et al., 2017;Ozturk ...

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    Problem solving is a key aspect of teaching and learning mathematics, but also an area where teachers and pupils often struggle. Set within the context of the new primary curriculum and drawing on research and practice, the book identifies the key knowledge and skills required in teaching and learning problem solving in mathematics, and ...

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    During problem-solving, the previously attained experience is applied to an unfamiliar situation that contains major obstacles in order to find a solution to the problem and learners are required ...

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    Set within the context of the new primary curriculum and drawing on research and practice, the book identifies the key knowledge and skills required in teaching and learning problem solving in mathematics, and examines how these and can be applied in the classroom. It explores the issues in depth while remaining straightforward and relevant ...

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  17. Understanding and Enriching Problem Solving in Primary Mathematics

    Problem solving is a key aspect of teaching and learning mathematics, but also an area where teachers and pupils often struggle. Set within the context of the new primary curriculum and drawing on research and practice, the book identifies the key knowledge and skills required in teaching and learning problem solving in mathematics, and ...

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    Please provide a full reference for the references section 4 • Understanding and Enriching Problem Solving in Primary Mathematics painted a gloomy picture in terms of children's ability to use and apply their mathematics knowledge: LE 'Too often, pupils are expected to remember methods, rules and facts without grasping the underpinning ...

  19. Understanding and Enriching Problem Solving in Primary Mathematics

    This up to date book is essential reading for all those teaching or training to teach primary mathematics. Problem solving is a key aspect of teaching and learning mathematics, but also an area where teachers and pupils often struggle. Set within the context of the new primary curriculum and drawing on research and practice, the book identifies ...

  20. Understanding and Enriching Problem Solving in Primary Mathematics

    Problem solving is a key aspect of teaching and learning mathematics, but also an area where teachers and pupils often struggle. Set within the context of the new primary curriculum and drawing on research and practice, the book identifies the key knowledge and skills required in teaching and learning problem solving in mathematics, and ...

  21. Understanding and Enriching Problem Solving in Primary Mathematics

    Problem solving is a key aspect of teaching and learning mathematics, but also an area where teachers and pupils often struggle. Set within the context of the new primary curriculum and drawing on research and practice, the book identifies the key knowledge and skills required in teaching and learning problem solving in mathematics, and ...

  22. Understanding and Enriching Problem Solving in Primary Mathematics

    This up to date book is essential reading for all those teaching or training to teach primary mathematics. Problem solving is a key aspect of teaching and learning mathematics, but also an area where teachers and pupils often struggle. Set within the context of the new primary curriculum and drawing on research and practice, the book identifies ...

  23. Understanding and Enriching Problem-Solving in Primary Mathematics

    Problem solving is a key aspect of teaching and learning mathematics, but also an area where teachers and pupils often struggle. Set within the context of the new primary curriculum and drawing on research and practice, the book identifies the key knowledge and skills required in teaching and learning problem solving in mathematics, and ...