Mathematics in the Primary School

Mathematics in the Primary School

PDF Mathematics in the Primary School Download

  • Author: Richard R. Skemp
  • Publisher: Routledge
  • ISBN: 1134974299
  • Category : Education
  • Languages : en
  • Pages : 178

National Curriculum guidelines emphasise knowledge, understanding and skills. The author, an internationally recognised authority, provides teachers with a clear explanation of these principles, and explains the relation between understanding and skills, and describes their application to the teaching of mathematics. The book contains numerous activities to show how mathematics can be learnt in the primary classroom with understanding and enjoyment, including: * formation of mathematical concepts * construction of knowledge * contents and structure of primary mathematics


Understanding Primary Mathematics

Understanding Primary Mathematics

PDF Understanding Primary Mathematics Download

  • Author: Christine Hopkins
  • Publisher: Routledge
  • ISBN: 1135398453
  • Category : Education
  • Languages : en
  • Pages : 257

In this textbook, the foundations of mathematics are made explicit and the reader is guided through the background knowledge and understanding that are required for the subject, offering a well-structured overview of the important issues to be considered when learning about mathematics on a Primary QTS course, and a coherent approach to the content to be found in the standards for QTS, the National Curriculum at Key Stages 1 and 2 and the numeracy strategy. The authors aim to help teachers review and restructure the understanding of mathematics gained during their education, progressing from partial memories of a few process to an understanding of why the skills they were taught make sense and how they fit into a coherent mathematics curriculum, arguing that to teach mathematics effectively it is not enough to be able to do the mathematics, you need to understand why you do what you do. Aimed at all teachers of primary mathematics, this book is also likely to be valuable to secondary teachers, parents, administrators and others interested in the foundations of school mathematics. Written for trainee and practicing teachers, this book de-mystifies the primary mathematics UK curriculum and offers a valuable reference for effective mathematicss teaching.


Understanding and Teaching Primary Mathematics

Understanding and Teaching Primary Mathematics

PDF Understanding and Teaching Primary Mathematics Download

  • Author: Tony Cotton
  • Publisher: Routledge
  • ISBN: 1317614380
  • Category : Education
  • Languages : en
  • Pages : 460

How would you teach the concept of odd and even numbers to a child? What is the probability of throwing a three on a six-sided die? How could you help a child who is confusing ratio and proportion? By seamlessly combining subject knowledge and pedagogy, the second edition of Understanding and Teaching Primary Mathematics will not only build your own confidence in mathematics, but also equip you with the curriculum understanding and pedagogical know-how to excel at teaching maths to children of any age. Written in a clear and accessible way, the book guides you through the fundamental ideas which are at the heart of teaching and learning maths, with special focus on observation and assessment of primary and early years children. Hallmark features Links to the classroom and research are provided throughout to help you relate educational theory to your own teaching practice. Portfolio and audit tasks allow you to assess your own subject knowledge and build up a portfolio of evidence to gain Qualified Teacher Status. The accompanying extra resources offers topic-specific self-audits for you to monitor your progress, exemplar lesson plans, a range of Portfolio Tasks mapped directly to current teacher standards and web-links to up-to-date online resources. New to this edition Resource Inspiration boxes give inviting examples of different activities to do with your class to provide inspiration for your own teaching. High quality videos with corresponding discussion, have been expertly selected from Teachers TV help to widen your skills and develop your practice, offering tips, lesson ideas and classroom resources.


Knowing and Teaching Elementary Mathematics

Knowing and Teaching Elementary Mathematics

PDF Knowing and Teaching Elementary Mathematics Download

  • Author: Liping Ma
  • Publisher: Routledge
  • ISBN: 1135149496
  • Category : Education
  • Languages : en
  • Pages : 329

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.


Understanding Numbers in Elementary School Mathematics

Understanding Numbers in Elementary School Mathematics

PDF Understanding Numbers in Elementary School Mathematics Download

  • Author: Hongxi Wu
  • Publisher: American Mathematical Soc.
  • ISBN: 0821852604
  • Category : Mathematics
  • Languages : en
  • Pages : 586

This is a textbook for pre-service elementary school teachers and for current teachers who are taking professional development courses. By emphasizing the precision of mathematics, the exposition achieves a logical and coherent account of school mathematics at the appropriate level for the readership. Wu provides a comprehensive treatment of all the standard topics about numbers in the school mathematics curriculum: whole numbers, fractions, and rational numbers. Assuming no previous knowledge of mathematics, the presentation develops the basic facts about numbers from the beginning and thoroughly covers the subject matter for grades K through 7. Every single assertion is established in the context of elementary school mathematics in a manner that is completely consistent with the basic requirements of mathematics. While it is a textbook for pre-service elementary teachers, it is also a reference book that school teachers can refer to for explanations of well-known but hitherto unexplained facts. For example, the sometimes-puzzling concepts of percent, ratio, and rate are each given a treatment that is down to earth and devoid of mysticism. The fact that a negative times a negative is a positive is explained in a leisurely and comprehensible fashion.


Essential Primary Mathematics

Essential Primary Mathematics

PDF Essential Primary Mathematics Download

  • Author: Caroline Rickard
  • Publisher: McGraw-Hill Education (UK)
  • ISBN: 0335247032
  • Category : Education
  • Languages : en
  • Pages : 339

If you are teaching or learning to teach primary mathematics, this is the toolkit to support you! Not only does it cover the essential knowledge and understanding that you and your pupils need to know, it also offers 176 great ideas for teaching primary mathematics - adaptable for use within different areas of mathematics and for different ages and abilities. Tackling children’s misconceptions in each topic area and differentiation through open-ended tasks and elements of choice, the book encourages you to think deeply about the teaching of the primary mathematics curriculum. The classroom activities, which are simple to resource and use, support you in meeting the Teachers’ Standards securely and encourage children to: Think deeply about mathematics and to challenge themselves Develop mathematical independence Engage in mathematical talk Work collaboratively with others to further understanding Whether you are just getting started in your teaching career or more experienced you will find a wealth of innovative activities to support you in teaching primary mathematics in effective and creative ways. "This book is an absolute must for every primary teacher. The perfect blend of subject knowledge, common misconceptions, pupil activities and self-assessment questions will support all those who are feeling slightly less than confident about teaching a mathematical topic. It will also be invaluable to experienced teachers and subject leaders who wish to think more deeply about how to teach mathematics effectively." Sue Davis, Primary PGCE Course Leader and Lecturer in Mathematics Education, University of Leicester, UK "This book has the conversational style of an excellent mentor and/or tutor of primary mathematics. It offers advice and guidance on how to be an effective teacher of mathematics whilst still drawing the reader’s attention to the importance of developing good subject knowledge, and how this can be addressed. Mathematical concepts are explained with reference to their theoretical underpinning and are then set in the context of real learning opportunities that illustrate good pedagogy. There is a real emphasis on teaching for learning, and this is most evident in the introductory chapter which provides a brief discussion of the big issues currently being debated in the field of primary mathematics. The consistent format of the subject chapters supports the reader’s ability to plan and teach a wide range of appropriate activities based on rich mathematics. These are all neatly illustrated by children’s drawings which bring the book to life.This is an all encompassing text for any student or teacher of mathematics and will feature on my highly recommended reading list." Paula Stone, Senior Lecturer Primary Education (Mathematics), Canterbury Christ Church University, UK "This book is ideal for student and practicing teachers alike. The user-friendly format such as the overview of contents at the beginning of each chapter and the highlighting of key misconceptions in each area, make it easy to locate relevant information. Each chapter evolves logically through subject knowledge and progression in learning for children. This book stands out from other texts I have used as there is an extremely helpful section at the end of each chapter which provides suggested classroom activities with associated learning objectives for each area of mathematics. As a final year student, I only wish this book had been available to me at the beginning of my course!" Shelley Rogers, Student Teacher, University of Chichester, UK "This book approaches the teaching of primary mathematics with a clear ethos, which is explained in the first chapter and then pervades all the suggestions and discussions which follow. The author deals with issues such as turning children’s misconceptions and ‘mistakes’ into learning opportunities, provoking the children into communicating their reasoning and differentiating lessons in ways that empower rather than categorise children. The author’s experience of having taught and observed hundreds of mathematics lessons is distilled into the essence of primary mathematics teaching." Dr Marcus Witt, Senior Lecturer in Primary and Early Years Mathematics Education, University of the West of England, UK "The theory sections of the book are really detailed which helps to provide a secure knowledge base for teaching primary mathematics. I especially like the way that the book is laid out; it is really easy to navigate. I love how the common misconceptions are outlined and explained in boxes separate to the body of the text but are also re-listed at the end of a chapter so that you could revise the potential issues which may arise before you start to teach a particular topic. The activities are well organised and adaptable but it is useful to see which age range each activity is suggested for at a glance, alongside the learning objective." Natalie Ridler, NQT


Mathematics in the Primary School

Mathematics in the Primary School

PDF Mathematics in the Primary School Download

  • Author: Sandy Pepperell
  • Publisher: Routledge
  • ISBN: 1317796705
  • Category : Education
  • Languages : en
  • Pages : 190

Now in its third edition, Mathematics in the Primary School has been updated to reflect recent mathematics curriculum documentation and revised standards for QTS. Key areas include: The role of talk in learning maths Teacher questioning Development of children’s reasoning Creative engagement with maths Assessment for learning and self assessment Suggested resources for teachers including ICT Providing a coherent set of principles for teaching primary mathematics across the main topics in the curriculum, the authors explore children’s understanding of key areas of mathematics, at reception, infant and junior levels. Important principles and teaching approaches are identified, including the use of calculators and computers, and there is an emphasis on mental mathematics and problem solving supporting key issues raised by the Williams review (2008). Case studies are used throughout to illustrate how different teaching approaches are put into practice and how children respond to them, and there is advice on planning, organisation and assessment of mathematical learning in the classroom. Emphasising the importance of teachers’ own mathematical knowledge and offering clear guidance and practical advice, this book is essential reading for students, NQTs and practising teachers with a focus on primary mathematics.


Mastery in Primary Mathematics

Mastery in Primary Mathematics

PDF Mastery in Primary Mathematics Download

  • Author: Tom Garry
  • Publisher: Bloomsbury Publishing
  • ISBN: 1472969758
  • Category : Education
  • Languages : en
  • Pages : 161

Mastery in Primary Mathematics contains clear, practical guidance for both teachers and leaders on how to implement a mastery approach in the classroom that transcends any particular context, school type or scheme currently being used. Filled with research-based evidence, case studies and concrete examples of teaching for mastery used successfully, this is the ideal toolkit to implementing a mastery approach across a school, regardless of expertise. Moulding pupils into confident and successful mathematicians is one of the most important jobs of a primary school. It can also be one of the most difficult. Teaching for mastery gives pupils the best possible understanding of mathematics and implementing it involves a two-pronged approach: mastery must be embedded in the classroom, but will only work with the full support of the school's leadership team. Based on educational research and school case studies, Mastery in Primary Mathematics gives practical advice on introducing and sustaining teaching for mastery, with sections for both class teachers and school leaders. In this must-have guide, Tom Garry, NCETM Maths Mastery Specialist Teacher, covers the areas of variation theory, mathematical reasoning and the use of correct mathematical language, and equips leaders with the necessary tools to make the mastery approach work across a school. With a view to planning at three levels – curricular, unit and lesson – in order to fully arm educators with the means to plan effectively, Tom draws on cognitive science as current developments in this field are crucial to understanding how children learn.


Understanding Mathematics for Young Children

Understanding Mathematics for Young Children

PDF Understanding Mathematics for Young Children Download

  • Author: Derek Haylock
  • Publisher: SAGE
  • ISBN: 1446204979
  • Category : Education
  • Languages : en
  • Pages : 273

'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


How Big is a Big Number?

How Big is a Big Number?

PDF How Big is a Big Number? Download

  • Author: Paul Killen
  • Publisher: Learning Matters
  • ISBN: 1526447754
  • Category : Education
  • Languages : en
  • Pages : 414

What, how and why? If you don′t really understand the content of the primary mathematics curriculum, how can you teach it? This beautiful full colour book is here to help. It covers all you need to know to be an effective teacher of primary mathematics. It shows you how to explore number, shape and pattern with the children you teach. It examines what we mean by ′mastery of mathematics′ and reviews what we can learn from Asian maths teaching methods. It helps you to see how areas of mathematics fit together and how you can support children to build their own understanding of the subject. This book goes beyond showing you how to teach. It shows you that process is as important as product. That getting it wrong can be as useful as getting it right and that children can′t really learn the what without understanding the why.