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  1. Developing primary mathematics teaching: reflecting on practice with the Knowledge Quartet - Tim Rowland 2009 (electronic resource)

    Book Recommended This is a key text for this module. Rowland et al provide a framework to help student teachers and NQTs reflect on, evaluate and improve their mathematics teaching. We use ideas from this text extensively in the module sessions that lead up to your assignment.

  2. Developing primary mathematics teaching: reflecting on practice with the Knowledge Quartet - Rowland, Tim, 1945- 2009

    Book Recommended This is a key text for this module. Rowland et al provide a framework to help student teachers and NQTs reflect on, evaluate and improve their mathematics teaching. We use ideas from this text extensively in the module sessions that lead up to your assignment.

  3. Developing primary mathematics teaching: reflecting on practice with the Knowledge Quartet - Tim Rowland 2009

    Book Recommended This is a key text for this module. Rowland et al provide a framework to help student teachers and NQTs reflect on, evaluate and improve their mathematics teaching. We use ideas from this text extensively in the module sessions that lead up to your assignment.

  4. General Texts 66 items
    Here are a selection of texts that you may find useful in this year's module.
    1. Teaching number sense - Anghileri, Julia 2006

      Book  This book takes as its central theme the need for children to understand the relationships between numbers, as opposed to just knowing isolated number facts. Julie Anghileri argues that ‘number sense’ can be taught, and the book includes chapters on counting, each of the number operations, fractions and written methods. In each case there are teaching ideas designed to encourage this deep learning.

    2. Transforming primary mathematics: understanding classroom tasks, tools and talk - Mike Askew 2016

      Book  Written by a leading expert in mathematics education, this book contains chapters that may be useful when analysing teaching and learning of mathematics including: Chapter 5 - Mathematical activity: mindful or fluent?; Chapter 6 Variation theory (which links to 'Intelligent Practice'); Chapters 9, 10 and 1 on Tasks, Tools and Talk.

    3. Transforming primary mathematics: understanding classroom tasks, tools, and talk - Mike Askew 2016 (electronic resource)

      Book  Written by a leading expert in mathematics education, this book contains chapters that may be useful when analysing teaching and learning of mathematics including: Chapter 5 - Mathematical activity: mindful or fluent?; Chapter 6 Variation theory (which links to 'Intelligent Practice'); Chapters 9, 10 and 1 on Tasks, Tools and Talk.

    4. Primary mathematics: teaching for understanding - Patrick Barmby 2009

      Book  This very practical book explores each of the key mathematical topics in depth focusing on how to develop understanding through using representations, promoting reasoning, considering potential misconceptions and communicating mathematical ideas.

    5. Primary mathematics: teaching for understanding - Patrick Barmby 2009 (electronic resource)

      Book  This very practical book explores each of the key mathematical topics in depth focusing on how to develop understanding through using representations, promoting reasoning, considering potential misconceptions and communicating mathematical ideas.

    6. Understanding and enriching problem solving in primary mathematics - Barmby, Patrick, Bolden, David, Thompson, Lynn 2014

      Book  This easy to read book explores all the key aspects of problem solving that should be included in the primary curriculum for mathematics. It includes lots of examples of problem solving in the classroom. The chapter on representing problems is particularly relevant for this module.

    7. Understanding and enriching problem solving in primary mathematics - Patrick Barmby, David Bolden, Lynn Thompson 2014 (electronic resource)

      Book  This easy to read book explores all the key aspects of problem solving that should be included in the primary curriculum for mathematics. It includes lots of examples of problem solving in the classroom. The chapter on representing problems is particularly relevant for this module.

    8. Multilingualism in mathematics classrooms: global perspectives - Richard Barwell 2009

      Book 

    9. The dyscalculia toolkit: supporting learning difficulties in maths - Ronit Bird 2007 (multimedia)

      Book  This book contains a collection of teaching activities and game that teachers can use to provide structured mathematical learning activities for learners who are struggling to understand key number concepts.

    10. The elephant in the classroom: helping children learn and love maths - Boaler, Jo 2009

      Book  Jo Boaler has carried out extensive research into mathematics education, both in England and the US. In this book, she draws on her findings to outline what sometimes goes wrong for children in the mathematics classroom today and to offer concrete solutions for teachers. She is a strong advocate of mixed-ability grouping in mathematics lessons and offering learners opportunities to work collaboratively on engaging problems as a powerful means of developing mathematical understanding. The chapter on 'Making Low Ability Children' is particularly relevant for this module.

    11. Primary curriculum: teaching the core subjects - Boys, Rosemary, Spink, Elaine 2008

      Book  This book focuses on how to teach the core curriculum subjects effectively to the 5-11 age group. It covers a range of areas including: planning, assessment and evaluation along with cross-curricular links and guidance on teaching beyond the classroom.

    12. Creative teaching: mathematics in the primary classroom - Mary Briggs, Sue Davis 2015

      Book  This text encourages the teacher to consider their position in relation to creativity and mathematics. It offers teachers a stimulus to develop their practice and includes a focus on different starting points for mathematical learning, different ways of working and making effective use of opportunities for exploiting cross-curricular links.

    13. Creative teaching: mathematics in the primary classroom - Mary Briggs, Sue Davis 2015

      Book  This text encourages the teacher to consider their position in relation to creativity and mathematics. It offers teachers a stimulus to develop their practice and includes a focus on different starting points for mathematical learning, different ways of working and making effective use of opportunities for exploiting cross-curricular links.

    14. The trouble with maths: a practical guide to helping learners with numeracy difficulties - Stephen J. Chinn 2017

      Book  In this book Steve Chinn explores some of the potential reasons that children may experience difficulties in learning maths and suggests some practical ways to help such children to be successful.

    15. The trouble with maths: a practical guide to helping learners with numeracy difficulties - Stephen J. Chinn 2017

      Book  In this book Steve Chinn explores some of the potential reasons that children may experience difficulties in learning maths and suggests some practical ways to help such children to be successful.

    16. Mathematical misconceptions: a guide for primary teachers - Anne Cockburn, G. H. Littler 2008

      Book  With contributors comprised of teachers, teacher educators, mathematicians and psychologists, Mathematical Misconceptions brings together information about pupils' work from four different countries, and looks at how primary children think about numbers and use them. It explores the reasons for their successes, misunderstandings and misconceptions and aims to broaden the reader's own mathematical knowledge.

    17. Mathematical misconceptions: a guide for primary teachers - Anne Cockburn, G. H. Littler 2008 (electronic resource)

      Book  With contributors comprised of teachers, teacher educators, mathematicians and psychologists, Mathematical Misconceptions brings together information about pupils' work from four different countries, and looks at how primary children think about numbers and use them. It explores the reasons for their successes, misunderstandings and misconceptions and aims to broaden the reader's own mathematical knowledge

    18. Understanding and teaching primary mathematics - Tony Cotton 2016

      Book  This very practical book is aimed at early career teachers who wish to develop their mathematical and pedagogic knowledge. It explores each mathematical topic in depth and also considers key aspects of the mathematics curriculum, including problem solving and issues around inclusion. There are many practical and reflective tasks to help the reader engage with the material.

    19. Understanding and teaching primary mathematics - Tony Cotton 2016

      Book  This very practical book is aimed at early career teachers who wish to develop their mathematical and pedagogic knowledge. It explores each mathematical topic in depth and also considers key aspects of the mathematics curriculum, including problem solving and issues around inclusion. There are many practical and reflective tasks to help the reader engage with the material

    20. Connecting primary maths & science: a practical approach - Alan Cross, Alison Borthwick 2016

      Book  This is an excellent new book looking at cross-curricular links between maths and science. This fits excellently with our sessions after Christmas!

    21. Using resources to support mathematical thinking: primary and early years - Drews, Doreen, Hansen, Alice 2007

      Book  This book offers ideas on how children learn, why use resources in teaching mathematics, mathematical models and images, how to adapt resources for children with SEN, cross curricular resources for mathematics and the environment and outdoor classroom as a mathematics resource.

    22. Using resources to support mathematical thinking: primary and early years - Doreen Drews, Alice Hansen 2007 (electronic resource)

      Book  This book offers ideas on how children learn, why use resources in teaching mathematics, mathematical models and images, how to adapt resources for children with SEN, cross curricular resources for mathematics and the environment and outdoor classroom as a mathematics resource.

    23. Mathematical difficulties: psychology and intervention - Ann Dowker 2008

      Book  This detailed book explores research around children's difficulties in learning mathematics. It considers how to use assessment tools to identify particular difficulties and also looks at research around specific intervention programmes.

    24. Mathematical difficulties: psychology and intervention - Ann Dowker 2008 (electronic resource)

      Book  This detailed book explores research around children's difficulties in learning mathematics. It considers how to use assessment tools to identify particular difficulties and also looks at research around specific intervention programmes.

    25. Maths and ICT in the primary school: a creative approach - English, Richard 2006

      Book  English offers a balanced approach to the use of ICT when teaching mathematics. He describes the benefits gained from the use of interactive whiteboards, calculators and computers, but also wisely warns that substance should never be sacrificed for ‘awe and wonder’.

    26. Maths and ICT in the primary school: a creative approach - Richard English 2006 (electronic resource)

      Book  English offers a balanced approach to the use of ICT when teaching mathematics. He describes the benefits gained from the use of interactive whiteboards, calculators and computers, but also wisely warns that substance should never be sacrificed for ‘awe and wonder’

    27. Curriculum provision for the gifted and talented in the primary school: English, maths, science and ICT - Deborah Eyre, Lynne McClure 2001 (electronic resource)

      Book  This book contains an interesting chapter on curriculum provision for high attaining pupils in mathematics.

    28. Curriculum provision for the gifted and talented in the primary school: English, maths, science and ICT - Deborah Eyre, Lynne McClure 2001

      Book  This book contains an interesting chapter on curriculum provision for high attaining pupils in mathematics.

    29. Children's errors in mathematics 2014

      Book  A useful series of articles discussing common misconceptions and errors found in the primary school including a range of teaching responses and strategies. Chapter 2 discusses the teacher's role in dealing with errors in the mathematics classroom.

    30. Primary mathematics across the curriculum - Hansen, Alice, Vaukins, Diane 2012

      Book  This book is designed to help teachers consider how mathematics can support learning across the curriculum. It includes examples of rich contexts for mathematics drawn from across the curriculum and beyond.

    31. Understanding mathematics for young children: a guide for teachers of children 3-8 - Derek Haylock, Anne Cockburn c2013

      Book  This text looks in depth and key concepts involved in early stages of learning for each of the key mathematics topics. The opening chapter considers some big issues including understanding as making connections and developing understanding of mathematical symbols. Each chapter includes reflection tasks and references to related research.

    32. Low attainers in primary mathematics: the whisperers and the maths fairy - Jenny Houssart 2004

      Book  Houssart draws on close observations with children in lower mathematics sets in primary schools to investigate why some children opt out of mathematics at an early age. After introducing us to the children, she addresses a particular type of mathematical task in each chapter, including: using number equipment; mental, practical and written work and mathematical tasks.

    33. Reflective primary mathematics: a guide for student teachers - Elizabeth Jackson 2015

      Book  The aim of this text is to support trainee teachers in considering the kind of mathematics teacher they wish to become and support them in developing their philosophy and practice. It contains interesting chapters on attitudes to maths, mathematical engagement and subject knowledge.

    34. Teaching mathematics to able children - Koshy, Valsa 2001

      Book  The accessible and practical book will help to give you the confidence and knowledge to effectively challenge and develop the skills of able children in mathematics. The book demonstrates how to identify high mathematical ability in a pupil, how to plan suitably challenging activities and how to implement strategies for differentiation.

    35. Teaching mathematics to able children - Valsa Koshy 2001 (electronic resource)

      Book  The accessible and practical book will help to give you the confidence and knowledge to effectively challenge and develop the skills of able children in mathematics. The book demonstrates how to identify high mathematical ability in a pupil, how to plan suitably challenging activities and how to implement strategies for differentiation.

    36. Thinking mathematically - John Mason, Leone Burton, Kaye Stacey 2010

      Book  This book explores the development of problem solving skills in a broad sense. It also includes many examples of rich starting points for problem solving. The last chapter on 'Powers, Themes, Worlds and Attention' is particularly relevant to this module as it considers some generic problem solving approaches we can use to provide rich learning opportunities in the classroom.

    37. Thinking mathematically - John Mason, Leone Burton, Kaye Stacey 2010 (electronic resource)

      Book  This book explores the development of problem solving skills in a broad sense. It also includes many examples of rich starting points for problem solving. The last chapter on 'Powers, Themes, Worlds and Attention' is particularly relevant to this module as it considers some generic problem solving approaches we can use to provide rich learning opportunities in the classroom.

    38. Designing and using mathematical tasks - John Mason, Sue Johnston-Wilder, Open University 2006

      Book  Mason and Johnston-Wilder are experts in analysis and design of mathematical learning tasks. This in-depth texts contains useful chapters on mathematical tasks, mathematical activity, interactions and progression in mathematics.

    39. Improving primary mathematics teaching and learning - McAteer, Mary (Ed) 2012

      Book  This text contains chapters by different authors on aspects of mathematics pedagogy that are highly relevant to this module. The book includes chapters exploring: using children's mathematical misconceptions; mathematical learning beyond the classroom; learning difficulties in mathematics; challenging able children; mathematical talk; evidence-based mathematics teaching; self-knowledge, pupil knowledge and subject knowledge

    40. Improving primary mathematics teaching and learning - Mary McAteer 2012 (electronic resource)

      Book  This text contains chapters by different authors on aspects of mathematics pedagogy that are highly relevant to this module. The book includes chapters exploring: using children's mathematical misconceptions; mathematical learning beyond the classroom; learning difficulties in mathematics; challenging able children; mathematical talk; evidence-based mathematics teaching; self-knowledge, pupil knowledge and subject knowledge

    41. Supporting early mathematical development: practical approaches to play-based learning - Caroline McGrath 2010

      Book  In this text McGrath combines theory and practice. She considers key principles that underpin teaching and learning of mathematics in the early years as well as considering how to develop understanding of number and number operations and how to solve mathematical problems. There is an interesting chapter on 'connecting across the curricula'.

    42. Supporting early mathematical development: practical approaches to play-based learning - Caroline McGrath

      Book  In this text McGrath combines theory and practice. She considers key principles that underpin teaching and learning of mathematics in the early years as well as considering how to develop understanding of number and number operations and how to solve mathematical problems. There is an interesting chapter on 'connecting across the curricula'.

    43. Mathematics in early years education - Ann Montague-Smith, Tony Cotton, Alice Hansen, Alison Price 2018

      Book  4th ed. This book explores how to integrate learning of all of the key mathematical topics into planning and learning in an early years setting.

    44. Mathematics in early years education - Ann Montague-Smith, Alison Price, Ann Montague-Smith 2012 (electronic resource)

      Book  3rd ed. This book explores how to integrate learning of all of the key mathematical topics into planning and learning in an early years setting.

    45. Primary mathematics: teaching theory and practice - Claire Mooney, Mary Briggs, Mike Fletcher, Alice Hansen 2014

      Book  This text is designed to support early career teachers in developing their practice. It includes a chapter on teaching strategies and chapter on key mathematics topics including algebra. Each chapter includes reflective tasks and suggestions for further reading which includes relevant research

    46. Big ideas in primary mathematics - Robert Newell 2017

      Book  This new book from Robert Newell is a highly-engaging text that covers a number of key topics in mathematics. The chapter on algebra is particularly useful.

    47. Pattern in the teaching and learning of mathematics - Orton, Anthony 2005

      Book  Like the Anghileri book, this book of readings takes as its central theme the ability of children to think mathematically, and to see the patterns and interconnectedness of number. As an example, the excellent chapter by John Threlfall and Len Frobisher considers the relatively limited range of relationships between numbers that children need to know in order to move from known number facts to unknown ones.

    48. Pattern in the teaching and learning of mathematics - Anthony Orton 2005 (electronic resource)

      Book  Like the Anghileri book, this book of readings takes as its central theme the ability of children to think mathematically, and to see the patterns and interconnectedness of number. As an example, the excellent chapter by John Threlfall and Len Frobisher considers the relatively limited range of relationships between numbers that children need to know in order to move from known number facts to unknown ones.

    49. Primary mathematics - O'Sullivan, Louise 2005

      Book  This reader contains many thought-provoking chapters that are highly relevant for this module. Topics include teaching children to think mathematically, using contexts for children’s mathematical thinking, problem-solving and catering for a range of abilities in mathematics. Chapter 2 on Teaching Children to Think Mathematically provides an interesting starting point for think about algebra in primary schools.

    50. Teaching mathematics creatively - Linda Pound, Trisha Lee 2015

      Book  This book develops some of the key themes from this module including motivating children through problem-solving, the use of creative contexts for developing mathematical thinking and exploiting opportunities to use mathematics across the curriculum. Chapter 2 I hate maths! Positive feelings, creative dispositions and mathematics explores the way in which children's emotions affect their learning in maths and how the mathematical learning environment we create as teachers influences children's feelings about their learning.

    51. Teaching mathematics creatively - Linda Pound, Trisha Lee 2015

      Book  This book develops some of the key themes from this module including motivating children through problem-solving, the use of creative contexts for developing mathematical thinking and exploiting opportunities to use mathematics across the curriculum. Chapter 2 I hate maths! Positive feelings, creative dispositions and mathematics explores the way in which children's emotions affect their learning in maths and how the mathematical learning environment we create as teachers influences children's feelings about their learning.

    52. Essential primary mathematics - Caroline Rickard 2013

      Book  This text is aimed at early career teachers and explores each key mathematics topic in detail. Chapter 6 on Algebra is particularly relevant for this module.

    53. Essential primary mathematics - Caroline Rickard 2013 (electronic resource)

      Book  This text is aimed at early career teachers and explores each key mathematics topic in detail. Chapter 6 on Algebra is particularly relevant for this module.

    54. Mathematics in the primary school - Richard R. Skemp 1989

      Book  Although old, this text is included on your reading list as it was highly influential. In it Skemp looks in depth at how children construct mathematical knowledge. Skemp promoted a theory about learning that identifies two contrasting modes of understanding: relational understanding (based on connecting new concepts to previous learning) and instrumental understanding (based on the learning of set procedures).

    55. Mathematics in the primary school - Richard R. Skemp 1989 (electronic resource)

      Book  Although old, this text is included on your reading list as it was highly influential. In it Skemp looks in depth at how children construct mathematical knowledge. Skemp promoted a theory about learning that identifies two contrasting modes of understanding: relational understanding (based on connecting new concepts to previous learning) and instrumental understanding (based on the learning of set procedures).

    56. Navigating numeracies: home/school numeracy practices - Brian V. Street, Dave Baker, Alison Tomlin, Leverhulme Numeracy Research Programme c2008

      Book  The aim of the book, and the associated research, is to explore the wide range of factors that might contribute to low attainment in numeracy. The authors look beyond the school to consider influences in the home and wider society.

    57. Navigating numeracies: home/school numeracy practices - Brian V. Street, Dave Baker, Alison Tomlin c2005 (electronic resource)

      Book  The aim of the book, and the associated research, is to explore the wide range of factors that might contribute to low attainment in numeracy. The authors look beyond the school to consider influences in the home and wider society.

    58. How the brain learns mathematics - David A. Sousa 2015

      Book  This text explores uses research on the way the brain works to consider issues around the learning of mathematics. It includes an interesting chapter on recognising and addressing mathematical difficulties.

    59. Issues in teaching numeracy in primary schools - Thompson, Ian 2010

      Book  Some useful background reading from a range of contributors. It explores some of the debates about numeracy. Chapters cover a variety of topics including: effective teaching of numeracy; talk and groupwork in mathematics; making connections using resources; teaching for understanding; learning from errors and misconceptions.

    60. Issues in teaching numeracy in primary schools - Ian Thompson 2010 (electronic resource)

      Book  Some useful background reading from a range of contributors. It explores some of the debates about numeracy. Chapters cover a variety of topics including: effective teaching of numeracy; talk and groupwork in mathematics; making connections using resources; teaching for understanding; learning from errors and misconceptions.

    61. Teaching primary mathematics - Sylvia Turner 2013

      Book  An up-to-date and accessible textbook combining practical guidance for the classroom with key theoretical coverage. It covers many of the themes we look at in this module including: teacher subject knowledge and beliefs; teaching approaches; use of representations in mathematics; what we can learn from other countries. Each chapter offers a suggestions for further reading.

    62. Making connections in primary mathematics: a practical guide - Turner, Sylvia, McCullouch, Judith 2004

      Book  This book has interesting chapters on cross-curricular application of mathematics and the outdoor learning of mathematics.

    63. Numeracy and learning difficulties: approaches to teaching and assessment - Westwood, Peter S. 2004

      Book  This book contains practical advice about how to tackle common learning difficulties and how to identify and bridge gaps in students' knowledge. It contains useful sections on learning theories in mathematics including constructivism; approaches and strategies to improve attainment including the role of questioning and use of resources; assessment.

    64. Numeracy and learning difficulties: approaches to teaching and assessment - Peter S. Westwood 2004 (electronic resource)

      Book  This book contains practical advice about how to tackle common learning difficulties and how to identify and bridge gaps in students' knowledge. It contains useful sections on learning theories in mathematics including constructivism; approaches and strategies to improve attainment including the role of questioning and use of resources; assessment.

  5. Academic Journals and Reports 16 items
    1. Developing the use of visual representations in the primary classroom - Patrick Barmby, David Bolden, Stephanie Raine, Lynn Thompson 2013

      Document  This report summarises the findings of a research project carried out for the Nuffield Foundation by Patrick Barmby, David Bolden, Stephanie Raine & Lynn Thompson in 2011 about the impact for pupils and teachers of developing wider use of representations in mathematics classrooms.

    2. Micromath (electronic resource)

      Journal 

  6. Mathematics Websites 9 items
    1. National Centre for Excellence in the Teaching of Mathematics - NCETM

      Website  National Centre for the Excellence in Teaching of Mathematics

    2. NRICH

      Webpage  NRICH – fantastic site for problem-solving activities, investigation, articles...

    3. TES Resources

      Webpage  TES (Times Educational Supplement) resources includes Teachers TV clips

  7. Other resources 8 items
    There are a number of resources in the school experience section that I would suggest you investigate prior to SBT3. The library has recently invested in a range of new textbooks which give you an indication of the kind of materials recently adopted by some of our local schools. Below are copies of the Maths No Problem (the only government approved Mastery textbook) for Years 2 and 6. We looked at these in our session on adapting and enhancing schemes of work.
    1. Maths - no problem!: Singapore Maths English National Curriculum 2014, Textbook 2A - Ban Har Yeap, Anne Hermanson, Pui Yee Foong, Li Gek Pearlyn Lim 2016

      Book 

    2. Maths - no problem!: Singapore Maths English National Curriculum 2014, Workbook 2A - Brandon Oh, Ban Har Yeap, Anne Hermanson 2017

      Book 

    3. Maths - no problem!: Singapore Maths English National Curriculum 2014, Textbook 2B - Ban Har Yeap, Pui Yee Foong, Li Gek Pearlyn Lim, Oon Hoa Wong 2015

      Book 

    4. Maths - no problem!: Singapore Maths English National Curriculum 2014, Workbook 2B - Brandon Oh, Ban Har Yeap, Anne Hermanson 2015

      Book 

    5. Maths - no problem!: Singapore Maths English National Curriculum 2014, 6B: Workbook - Brandon Oh, Ban Har Yeap, Anne Hermanson 2016

      Book