Mathematics Explained for Primary Teachers

Author: Derek Haylock,Ralph Manning

Publisher: SAGE

ISBN: 1473907047

Category: Education

Page: 496

View: 9032

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Get access to an interactive eBook* when you buy the paperback! (Print paperback version only, ISBN 9781446285879) A Unique Blend of Digital and Print Learning Resources! 5 Star student reviews: “A must have for teachers-to-be, especially those who are a bit shaky on their maths knowledge!” “Not many maths books keep me fixated but this is one that is definitely worth the money.” “It is a book I will be using even when in the classroom.” Mathematics Explained for Primary Teachers develops your understanding of mathematical concepts and processes, and how children learn them, so you can confidently teach mathematics to primary children. Tried and tested, the fifth edition of Derek Haylock’s much loved textbook matches the 2014 curriculum requirements for England. Every chapter integrates children’s learning, classroom practice, and teacher’s own requirements for subject knowledge, making this the ideal text to guide you through your studies and beyond. More than just a book! The new edition is supported by FREE access to an interactive eBook and a companion website allowing you to use a wealth of teaching and learning resources. You can use the eBook to study where and when you want, and read, annotate and search the book on a tablet, laptop or PC. You can also visit study.sagepub.com/haylock5e to access: Videos by the author introduce core themes of each section and explain key mathematical processes. Links to the National Curriculum specify the statutory requirements for primary schools in England that relate to the mathematical content of each chapter. Learning and Teaching points highlight important issues you may face in the classroom and provide practical guidance for teaching. Self-assessment questions help check your understanding and provide immediate feedback to see how well you have done. Select SAGE journal articles to support literature reviews and wider reading. Lesson Plan Activities by Ralph Manning support content-focused chapters and contain creative mathematics tasks across the primary age range. A Student Workbook is also available to accompany this book, including over 700 practice problems to help you understand, apply and teach primary mathematics. Derek Haylock is an education consultant and writer with a background in mathematics teaching, teacher education and classroom-based research in mathematics education. Ralph Manning is an independent consultant in primary education. He has worked as a primary teacher and as a lecturer in primary teacher education for 18 years, following a career in IT. *interactivity only available through Vitalsource eBook

Mathematics Explained for Primary Teachers

Author: Derek Haylock

Publisher: SAGE

ISBN: 1446244008

Category: Education

Page: 432

View: 2819

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This Fourth Edition of Derek Haylock's much loved textbook has been fully revised and restructured to match the current Attainment Targets for mathematics in England. Every chapter is written in a way that integrates children’s learning, classroom practice and the teacher’s own requirements for subject knowledge, making this the ideal text for primary PGCE courses. Features in the new edition include: two new chapters on mathematics in the primary curriculum and learning to learn mathematics more prominence given to using and applying mathematics sections matching the attainment targets for mathematics more learning and teaching points highlighted throughout the text further material on number, risk, use of ICT, graphs and data-handling. a research focus in every chapter. Additional online support The companion website provides a glossary and additional material to enable primary trainees to prepare with confidence for the ITT Numeracy test, and provides details of how each chapter of the book is linked to the National Curriculum. This will be updated to reflect any updates to the National Curriculum as they are introduced. You can also follow Derek Haylock's blog and Twitter feeds to discuss and share issues, news, policy and anything primary maths related! -Visit the companion website: www.uk.sagepub.com/haylock -Review Derek's blog: http://derek-haylock.blogspot.co.uk/ -Follow Derek on Twitter: https://twitter.com/derek_haylock Extensively used on primary PGCE courses and undergraduate courses leading to QTS, this bestselling book is an essential resource for all trainee primary teachers. A companion Student Workbook is also available, which: provides self-assessment activities for students to check their understanding of key concepts helps students to practise key mathematical processes and to apply mathematics in real-life situations gives opportunities to apply their knowledge to teaching and learning.

Mathematics Explained for Primary Teachers

Author: Derek Haylock

Publisher: Paul Chapman Educational Publishing

ISBN: 9780761969501

Category: Education

Page: 320

View: 1993

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This second edition explains the concepts and processes of the mathematics taught in primary schools in a straightforward, practical, and comprehensive way.

Student Workbook for Mathematics Explained for Primary Teachers

Author: Derek Haylock,Ralph Manning

Publisher: SAGE

ISBN: 147390627X

Category: Education

Page: 168

View: 5115

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Do you understand the difference between a square and a rhombus well enough to explain it to a child? Could you weigh out 12 grams of sand if you were given weights of 3 grams, 7 grams and 16 grams? Can you spot common errors in subtraction calculations and identify the likely misconceptions behind them? This Student Workbook reinforces and applies concepts introduced in Derek Haylock’s Mathematics Explained for Primary Teachers. With over 700 tested questions endorsed by primary PGCE trainees, along with detailed solutions and explanatory notes, the Student Workbook helps you gain the confidence you need to understand, apply and teach the primary maths curriculum. Checking Understanding questions are designed to help you check your own knowledge of terminology, understanding of key concepts and principles, and your mastery of important skills. Reasoning and Problem-solving questions encourage you to use and apply mathematical concepts in solving mathematical puzzles or problems in real life situations. Learning and Teaching solutions include responses to children’s errors and misunderstandings, development of teaching ideas, evaluation of teaching approaches, and consideration of objectives to promote understanding. Visit the companion website for Mathematics Explained for Primary Teachers at study.sagepub.com/haylock5e to take advantage of even more learning resources, such as step-by-step solution videos, additional practice questions, activities to include in lesson plans and access to Derek Haylock’s blog. Derek Haylock is an education consultant and writer with a background in mathematics teaching, teacher education and classroom-based research in mathematics education.

Mathematics Explained for Primary Teachers - 4/Ed / Student Wkbk for Mathematics Explained for Primary Teachers

Author: Derek Haylock,Ralph Manning

Publisher: Sage Publications

ISBN: 9780857021120

Category: Education

Page: N.A

View: 390

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This specially discounted book pack combines the new fourth edition of Derek Haylock's much loved textbook Mathematics Explained for Primary Teachers with the brand new accompanying Student Workbook. Mathematics Explained for Primary Teachers The new fourth edition of Mathematics Explained for Primary Teachers has been fully revised and restructured to match the current Attainment Targets for mathematics in England. Every chapter is written in a way that integrates children's learning, classroom practice and the teacher's own requirements for subject knowledge, making this the ideal text for primary PGCE courses. Some of the changes in the new edition include: -Two new chapters on mathematics in the primary curriculum and learning to learn mathematics -More prominence given to using and applying mathematics -Sections matching the attainment targets for mathematics -More learning and teaching points highlighted throughout the text -Further material on number, risk, use of ICT, graphs and data-handling. -A research focus in every chapter. The companion website www.sagepub.co.uk/haylock provides a glossary and additional material to enable primary trainees to prepare with confidence for the ITT Numeracy test, and provides details of how each chapter of the book is linked to the National Curriculum. This will be updated to reflect any updates to the National Curriculum as they are introduced. Extensively used on primary PGCE courses and undergraduate courses leading to QTS, this bestselling book is an essential resource for all trainee primary teachers. Student Workbook The new companion workbook to Mathematics Explained for Primary Teachers provides students with an attractive and engaging means of reviewing, reinforcing and applying the material of Mathematics Explained for Primary Teachers 4th Edition, chapter by chapter. The material in the workbook has been tested and endorsed by primary PGCE trainees. Detailed solutions and explanatory notes are provided at the end of the book for each task. The self-assessment tasks are of three kinds: A. Checking Understanding Tasks designed to help the reader to check their own understanding of key concepts and principles and their mastery of important skills in each chapter. B. Processes and Applications Tasks that provide opportunities to apply the mathematical content of each chapter in real-life situations, and in puzzles, problems, investigations and other mathematical challenges. C. Teaching and Learning Tasks that provide opportunities for the reader to consider their responses to children's errors and misunderstandings, and to consider the content of each chapter in terms of approaches to teaching and learning in a primary school context.

Understanding Mathematics for Young Children

A Guide for Teachers of Children 3-7

Author: Derek Haylock,Anne D Cockburn,Professor Anne Cockburn

Publisher: SAGE

ISBN: 152641001X

Category: Education

Page: 336

View: 7013

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Essential guide for teaching children aged 3-7, developing knowledge of key mathematical ideas and concepts in the nursery and primary classroom.

Mathematical Knowledge for Primary Teachers

Author: Andrew Davis,Maria Goulding,Jennifer Suggate

Publisher: Taylor & Francis

ISBN: 1317219015

Category: Education

Page: 328

View: 9383

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Now in its fifth edition, the best-selling text Mathematical Knowledge for Primary Teachers provides trainee teachers with clear information about the fundamental mathematical ideas taught in primary schools. With rigorous and comprehensive coverage of all the mathematical knowledge primary teachers need, the text goes beyond rules and routines to help readers deepen their understanding of mathematical ideas and increase their confidence in teaching these ideas. The book has been updated to incorporate changes in the National Curriculum and the associated tests. In addition, Chapter 1 has been expanded to discuss mathematical understanding in the light of the challenges posed by the current changes. These include the re-introduction of traditional calculation methods for multiplication and division, the early coverage of abstract fractions calculations and much more. Features include: ■ ‘Check’ questions to test the reader’s understanding ■ ‘Challenges’ to increase teachers’ confidence and stretch their mathematical abilities ■ ‘Links with the classroom’ to emphasise the relevance of ideas to the classroom context ■ Straightforward coverage from theory to practice for all aspects of the Mathematics Framework. The book is accompanied by eResources which contains further visual activities and support, designed to scaffold and support the reader’s own understanding. Essential reading for all practising and trainee primary teachers, this book is ideal for those who wish to increase their mathematical understanding and confidence in presenting mathematics in the classroom.

Understanding and Teaching Primary Mathematics

Author: Tony Cotton

Publisher: Routledge

ISBN: 1317443209

Category: Education

Page: 312

View: 3995

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Written by an education consultant with widespread experience of teaching mathematics in the UK and internationally, Understanding and Teaching Primary Mathematics seamlessly combines pedagogy and subject knowledge to build confidence and equip you with all the skills and know-how you need to successfully teach mathematics to children of any age. This 3rd edition has been fully updated to reflect the latest research developments and initiatives in the field, as well as key changes to both the UK National Curriculum and International Baccalaureate, including a brand new chapter on ‘Algebra’ and a reworked focus on the early years. Extra features also include helpful call-outs to the book’s revised and updated companion website, which offers a shared site with a range of resources relevant to both this book and its new companion volume, Teaching for Mathematical Understanding. Stimulating, accessible and well-illustrated, with comprehensive coverage of subject knowledge and pedagogy, Understanding and Teaching Primary Mathematics is an essential purchase for trainee and practising teachers alike. Companion website features new to this edition include: video clips in which the author demonstrates the concepts covered in the book through teaching to a real class PowerPoint presentations which provide support for those using the book as a part of a teacher training course updated weblinks to external sites with useful teaching information and resources

Understanding Primary Science

Author: Martin Wenham,Peter Ovens

Publisher: SAGE Publications

ISBN: 1848601190

Category: Education

Page: 277

View: 6006

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Now in its Third Edition, this text provides the background knowledge primary teachers need to plan effective programmes of work and answer children's questions with confidence. The new edition links explanations of scientific concepts with children's everyday experiences to help teachers and trainees foresee how they will present the subject knowledge to their pupils. Shaped by the National Curriculum, this text explains key scientific theories and concepts which pupils at primary level, including very able children, need in order to understand the observations and investigations they undertake. A CD ROM of 200 science investigations for young students is included with the new edition, allowing teachers to explore the practical application of topics covered in the book. This is an essential book for teachers, student teachers and anyone interested in the roots and growth of science education.

Understanding Mathematics for Young Children

A Guide for Foundation Stage and Lower Primary Teachers

Author: Derek Haylock,Anne D Cockburn

Publisher: SAGE

ISBN: 1446204979

Category: Education

Page: 272

View: 9023

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'This book is the ideal way to dispel some of the fears which surround the subject area of mathematics and should be an essential part of the professional development library of every early years setting provider for children aged three and over' - Early Years Update 'A book that is both readable and rigorous. [Its] guidance will help teachers to make mathematics meaningful to young children. Throughout the book connections are made which relate language, symbols, concrete materials and pictures to the key ideas that are central to effective learning for the 21st century. This book will help teachers gain a depth of understanding that will make them confident in engaging children with real mathematical thinking' - Dr J.E. Anghileri, Senior Lecturer in Mathematics and Mathematics Education, Faculty of Education, University of Cambridge 'This is an updated version of a classic text which has been a best -seller among teachers and student teachers for many years. Being always strongly grounded in the classroom, it develops in a non-intimidating way teachers' own understanding of the mathematics they are teaching. Many insightful examples of children's thinking and appropriate activities help to illustrate the points. This is an essential book for teachers of Early Years and Key Stage 1' - Margaret Brown, Professor of Mathematics Education, King's College London, UK This is a fully revised version of the authors' successful and much-used book, Understanding Mathematics in the Lower Primary Years, updated to include the current Foundation Stage Curriculum and the new Primary Framework in England. The authors empower the reader to have a clearer understanding of the mathematical ideas behind the material they use in the classroom. They also show how children can be helped to develop an understanding of mathematics for themselves, rather than just learning recipes and routines with little meaning. Major themes are: - Understanding through making connections - Equivalence and transformation - Using and applying mathematics It is written for teachers and teacher trainees engaged in teaching mathematics to children aged 3 to 8 years. It is an essential student text and professional reference work for all teachers of children aged 3 to 8 years. Dr Derek Haylock is an education consultant and author, working in the field of mathematics education. His book Mathematics Explained for Primary Teachers has been a leader in the field for many years, with a third edition published in 2006. Dr Anne Cockburn is a Reader in the School of Education and Lifelong Learning at the University of East Anglia, Norwich. Watch the authors talking about their book here: YouTube

Teaching Primary English

Author: Jackie Brien

Publisher: SAGE

ISBN: 1446253732

Category: Education

Page: 224

View: 9355

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Shortlisted for the UKLA Academic Book Award 2013! Literacy empowers learning across the whole curriculum and language is at the centre of all learning in primary education. Aware of current curriculum developments and drawing from the latest research Teaching Primary English encourages teacher education students to develop a deeper understanding of the essential issues involved in teaching English in order to approach a career in the primary classroom with the confidence and knowledge required to succeed. Taking a fresh approach to the main elements of teaching primary English, Jackie Brien strikes an engaging balance between the practical requirements of English teaching and encouraging informed reflection on key aspects of primary literacy. This is essential reading for everyone studying primary English on primary initial teacher education courses including undergraduate (BEd, BA with QTS), postgraduate (PGCE, SCITT), and employment-based routes into teaching. Jackie Brien is Curriculum Leader for English, Communication, Language and Literacy at the University of Chester.

Reflective Primary Mathematics

A guide for student teachers

Author: Elizabeth Jackson

Publisher: SAGE

ISBN: 1473934052

Category: Education

Page: 224

View: 2787

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‘This original book shows the crucial importance of personal philosophies of mathematics. Using current research it guides us to reflect on our attitudes and beliefs. Essential reading for anybody interested in mathematics and its teaching.’ Paul Ernest, Emeritus Professor of Mathematics Education, University of Exeter Teaching mathematics can be challenging, and returning to a mathematics classroom yourself may not inspire you with confidence. This book can help you to become an assured teacher who can give young learners the high quality mathematics education that they deserve, by exploring the philosophy that lies behind good mathematics teaching and its application in the classroom. Throughout the book you are encouraged to put your own thoughts on mathematics learning and teaching under the microscope and examine your perceptions and understanding in order to develop as a critically reflective teacher, aware of potential challenges and what underpins effective mathematics teaching in primary schools. Coverage includes: · developing your own philosophy towards mathematics teaching · understanding links between confidence and learning · the importance of subject knowledge · common beliefs and attitudes among mathematics learners · how to develop your relationship with the subject. This is essential reading for all students studying primary mathematics on initial teacher education courses, including undergraduate (BEd, BA with QTS), postgraduate (PGCE, School Direct, SCITT, Teach First) and NQTs. Elizabeth Jackson has over thirty years’ experience of mathematics education through primary and secondary school teaching, lecturing in initial teacher education and supervising mathematics Master’s dissertations, as well as conducting research into mathematics and writing.

Knowing and Teaching Elementary Mathematics

Teachers' Understanding of Fundamental Mathematics in China and the United States

Author: Liping Ma

Publisher: Routledge

ISBN: 1135149496

Category: Education

Page: 232

View: 613

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Studies of teachers in the U.S. often document insufficient subject matter knowledge in mathematics. Yet, these studies give few examples of the knowledge teachers need to support teaching, particularly the kind of teaching demanded by recent reforms in mathematics education. Knowing and Teaching Elementary Mathematics describes the nature and development of the knowledge that elementary teachers need to become accomplished mathematics teachers, and suggests why such knowledge seems more common in China than in the United States, despite the fact that Chinese teachers have less formal education than their U.S. counterparts. The anniversary edition of this bestselling volume includes the original studies that compare U.S and Chinese elementary school teachers’ mathematical understanding and offers a powerful framework for grasping the mathematical content necessary to understand and develop the thinking of school children. Highlighting notable changes in the field and the author’s work, this new edition includes an updated preface, introduction, and key journal articles that frame and contextualize this seminal work.

Transforming Primary Mathematics

Understanding classroom tasks, tools and talk

Author: Mike Askew

Publisher: Routledge

ISBN: 1317357566

Category: Education

Page: 172

View: 2866

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Fully updated to reflect the new curriculum, the revised edition of Transforming Primary Mathematics sets out key theories and cutting-edge research in the field to enable teachers to take a fresh look at how they teach mathematics. The book encourages teachers to reflect on their own beliefs and values about mathematics, and asks them to question whether their current methods meet the needs of all learners, and the challenge of having high expectations for all. It provides clear, practical approaches to help implement fundamental change in classroom environments, and offers motivational teaching styles to ensure meaningful mathematics learning. Chapters take an inspiring, sometimes controversial, and often unconventional look at the subject of mathematics, by: endorsing the use of a ‘new mathematics’ – one based on problem solving, modelling, inquiry and reasoning, not on abstract rules, memorising, and regurgitation arguing that there is more to maths teaching than ‘death by a thousand worksheets’ challenging norms, such as the practice of sorting children into sets based on their perceived mathematical ability asking whether mathematical ability is innate or a result of social practices examining what a ‘mastery’ approach might entail highlighting the role of variation in supporting learning advocating an environment where teachers are encouraged to take risks. Transforming Primary Mathematics is for all primary school teachers who want to make mathematics welcoming, engaging, inclusive and successful.

Big Ideas in Primary Mathematics

Author: Robert Newell

Publisher: SAGE

ISBN: 147398713X

Category: Education

Page: 320

View: 7627

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Lightbulb moments for you and your pupils This book explores the ‘big ideas’ in maths to help trainee teachers confidently teach the curriculum in a way that engages children and focuses on understanding, rather than memory, for those lightbulb moments. Covering the major concepts in simple terms, whilst carefully linking to the National Curriculum, it shows how they can be used to enable learning and support mathematical mastery. A focus on explaining misconceptions and errors will strengthen trainees and teachers own mathematical subject knowledge, while also giving them the confidence to deepen their understanding of the children they teach. Key topics include: Problem-solving, reasoning and developing fluency in maths Place value and counting systems Measuring money, time and weight Geometry, and understanding space and shape Fractions and statistics for the primary classroom This is essential reading for anyone studying primary mathematics on initial teacher education courses, including undergraduate (BEd, BA with QTS) and postgraduate (PGCE, PGDE, School Direct, SCITT) routes, and also NQTs. Robert Newell is a tutor in primary education at the UCL Institute of Education, London.

Language Knowledge for Primary Teachers

Author: Angela Wilson,Julie Scanlon

Publisher: Routledge

ISBN: 1136826297

Category: Education

Page: 200

View: 6199

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Teaching children to develop as language users is one of the most important tasks of a primary school teacher. However, many trainee teachers begin their careers with a low knowledge base. Language Knowledge for Primary Teachers is the reader friendly guide designed to address this.

All the Math You'll Ever Need

A Self-Teaching Guide

Author: Steve Slavin

Publisher: John Wiley & Sons

ISBN: 0471674028

Category: Mathematics

Page: 240

View: 4470

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A sharp mind, like a healthy body, is subject to the same rule of nature: Use it or lose it Need a calculator just to work out a 15 percent service charge? Not exactly sure how to get the calculator to give you the figure you need? Turn to this revised and updated edition of All the Math You'll Ever Need, the friendliest, funniest, and easiest workout program around. In no time, you'll have total command of all the powerful mathematical tools needed to make numbers work for you. In a dollars-and-cents, bottom-line world, where numbers influence everything, none of us can afford to let our math skills atrophy. This step-by-step personal math trainer: Refreshes practical math skills for your personal and professional needs, with examples based on everyday situations. Offers straightforward techniques for working with decimals and fractions. Demonstrates simple ways to figure discounts, calculate mortgage interest rates, and work out time, rate, and distance problems. Contains no complex formulas and no unnecessary technical terms.

Teaching Mathematics in Primary Schools

Author: Robyn Jorgensen,Shelley Dole

Publisher: Allen & Unwin

ISBN: 9781742694160

Category: Education

Page: 400

View: 7457

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'Every chapter reeks of intellectual integrity, a strong knowledge of pertinent research literatures, and the wisdom of practice.' - Professor Ken Clements, co-founder of the Mathematics Education Research Group of Australasia 'This is an outstanding book: it should be high on the list of any primary school teacher's set of references and a required text for pre-service teachers.' - Kath Truran in Australian Primary Mathematics Classroom Teaching Mathematics in Primary Schools moves beyond traditional lock-step approaches to teaching mathematics to emphasise how students can learn to think mathematically in the new times of globalisation and a technology-rich society. Based on current international research, the book focuses on learning outcomes and the general principles that underlie educational practices rather than any specific curriculum. Current approaches to mathematics education are explained and critiqued, and insights into why some students have difficulties with mathematics are provided. Teachers are shown how to encourage their students to develop deep learning in mathematics, and to relate mathematics to the rest of the curriculum. The authors firstly examine the philosophy behind mathematics and its impact on curriculum design, the history of learning outcomes, and theories on how students learn mathematics. They then present the key areas of mathematics teaching in detail: number, chance and data, measurement, space, and algebra. In each area, the emphasis is on problem-solving. Finally, they discuss practical classroom issues such as the trend towards developing students' capacity to think mathematically, broad approaches to teaching mathematics, planning for a whole school approach to mathematics, diversity and access, and assessment, reporting and evaluation. New material on numeracy, early numbers and fractions has been added to this second edition. It also includes new material on teaching mathematics in the middle years of schooling. With practical activities that can be implemented in the classroom, this book is an invaluable resource for students and teachers.

Explaining Primary Science

Author: Paul Chambers,Nicholas Souter

Publisher: SAGE

ISBN: 1526421402

Category: Education

Page: 408

View: 5034

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Develops students' confidence and understanding of all key areas of primary science