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Mathematical Knowledge for Primary Teachers

Mathematical Knowledge for Primary Teachers Author Andrew Davis
ISBN-10 9781317219002
Release 2017-02-17
Pages 342
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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 a website 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.



Mathematical Knowledge for Primary Teachers

Mathematical Knowledge for Primary Teachers Author Andrew Davis
ISBN-10 9781317219019
Release 2017-02-17
Pages 328
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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.



Mathematical Knowledge for Primary Teachers

Mathematical Knowledge for Primary Teachers Author Jennifer Suggate
ISBN-10 9781135165000
Release 2010-04-05
Pages 328
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Now in its fourth edition, the bestselling 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. Fully updated to incorporate recommendations of the Williams review, new sections are included covering talk for learning in mathematics, with an emphasis placed on the language and vocabulary used in arithmetic contexts. Throughout the book, knowledge is linked to the TDA standards for Qualified Teacher Status, and 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 e-resources, which contain 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.



Mathematics Explained for Primary Teachers

Mathematics Explained for Primary Teachers Author Derek Haylock
ISBN-10 9781473907041
Release 2014-06-19
Pages 496
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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



Mathematical Knowledge in Teaching

Mathematical Knowledge in Teaching Author Tim Rowland
ISBN-10 904819766X
Release 2011-01-06
Pages 304
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The quality of primary and secondary school mathematics teaching is generally agreed to depend crucially on the subject-related knowledge of the teacher. However, there is increasing recognition that effective teaching calls for distinctive forms of subject-related knowledge and thinking. Thus, established ways of conceptualizing, developing and assessing mathematical knowledge for teaching may be less than adequate. These are important issues for policy and practice because of longstanding difficulties in recruiting teachers who are confident and conventionally well-qualified in mathematics, and because of rising concern that teaching of the subject has not adapted sufficiently. The issues to be examined in Mathematical Knowledge in Teaching are of considerable significance in addressing global aspirations to raise standards of teaching and learning in mathematics by developing more effective approaches to characterizing, assessing and developing mathematical knowledge for teaching.



Understanding and Teaching Primary Mathematics

Understanding and Teaching Primary Mathematics Author Tony Cotton
ISBN-10 9781317443209
Release 2016-05-26
Pages 312
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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



The Construction of New Mathematical Knowledge in Classroom Interaction

The Construction of New Mathematical Knowledge in Classroom Interaction Author Heinz Steinbring
ISBN-10 9780387242538
Release 2006-03-30
Pages 236
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Mathematics is generally considered as the only science where knowledge is uni form, universal, and free from contradictions. „Mathematics is a social product - a 'net of norms', as Wittgenstein writes. In contrast to other institutions - traffic rules, legal systems or table manners -, which are often internally contradictory and are hardly ever unrestrictedly accepted, mathematics is distinguished by coherence and consensus. Although mathematics is presumably the discipline, which is the most differentiated internally, the corpus of mathematical knowledge constitutes a coher ent whole. The consistency of mathematics cannot be proved, yet, so far, no contra dictions were found that would question the uniformity of mathematics" (Heintz, 2000, p. 11). The coherence of mathematical knowledge is closely related to the kind of pro fessional communication that research mathematicians hold about mathematical knowledge. In an extensive study, Bettina Heintz (Heintz 2000) proposed that the historical development of formal mathematical proof was, in fact, a means of estab lishing a communicable „code of conduct" which helped mathematicians make themselves understood in relation to the truth of mathematical statements in a co ordinated and unequivocal way.



Knowing and Teaching Elementary Mathematics

Knowing and Teaching Elementary Mathematics Author Liping Ma
ISBN-10 9781135149499
Release 2010-03-26
Pages 232
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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.



Mathematical Misconceptions

Mathematical Misconceptions Author Anne D Cockburn
ISBN-10 9780857029478
Release 2008-11-19
Pages 176
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How do children relate to numbers and mathematics? How can they be helped to understand and make sense of them? People are rarely ambivalent towards mathematics, having either a love or hate relationship with the subject, and our approach to it is influenced by a variety of factors. How we are taught mathematics as children plays a big role in our feelings towards it. Numbers play a large part in our lives, and it is therefore beneficial to inspire a positive attitude towards them at a young age. 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 children, from the ages of 3 - 11, think about numbers and use them. It explores the reasons for their successes, misunderstandings and misconceptions, while also broadening the reader's own mathematical knowledge. Chapters explore: - the seemingly paradoxical number zero - the concept of equality - children's perceptions and misconceptions of adding, subtracting, multiplying and dividing - the learning process - the ways in which children acquire number concepts. This unique book will transform the way in which primary school teachers think about mathematics. Fascinating reading for anyone working with children of this age, it will be of particular interest to teachers, trainee teachers and teaching assistants. It will show them how to engage children in the mysteries and delights of numbers.



Primary Mathematics Knowledge and Understanding

Primary Mathematics  Knowledge and Understanding Author Claire Mooney
ISBN-10 9781473907065
Release 2014-06-23
Pages 184
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The essential subject knowledge text for primary mathematics. Secure subject knowledge and understanding is the foundation of confident, creative and effective teaching. This comprehensive text includes interactive tasks, a self assessment section to allow trainees to better understand their level of knowledge and M level extension boxes to provide further challenge in all chapters. This 7th edition is updated in line with the new National Curriculum and includes updated research summaries reflecting the latest thinking. This highly recommended text helps trainee primary teachers develop and consolidate their knowledge of mathematics.



Becoming a Primary Mathematics Specialist Teacher

Becoming a Primary Mathematics Specialist Teacher Author Gina Donaldson
ISBN-10 9781136322150
Release 2013-08-15
Pages 152
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What is the role of the mathematics specialist? What is deep subject knowledge in mathematics? What sort of pedagogical knowledge does a mathematics specialist need? How can you best support your colleagues to improve mathematics teaching and learning? Becoming a Primary Mathematics Specialist Teacher helps you explore the role of the specialist in promoting positive attitudes towards mathematics and developing the teaching and learning of mathematics in your primary school. Illustrated throughout with classroom-based examples and referenced to relevant research, it is designed to support your development as a reflective practitioner who can confidently review and develop practice in your own classroom, as well as challenge and move the whole school forward through collaborative professional development. Essential topics explored include: The nature of the role of the primary mathematics specialist Understanding how attitudes to mathematics evolve, and why it is crucial to challenge and change negativity What we mean by deep subject knowledge in primary mathematics Pedagogical knowledge of how mathematics is taught and learned The skills of coaching and mentoring to support teachers and teaching assistants Unpicking the principles of progression for high quality teaching in all years groups The key features of deep subject knowledge and pedagogy in three areas of the curriculum: multiplication, time and data handling. Becoming a Primary Mathematics Specialist Teacher is an essential source of guidance and ideas for all primary school teachers aiming to achieve Mathematics Specialist status or already taking this role, those studying primary mathematics as a specialism and at masters level, and for all primary mathematics co-ordinators.



Mathematics Teaching and Learning

Mathematics Teaching and Learning Author Rina Kim
ISBN-10 9783319135427
Release 2015-03-24
Pages 152
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The purpose of this research is to identify the categories of South Korean elementary teachers’ knowledge for teaching mathematics. Emerging from the data collected and the subsequent analysis are five categories of South Korean elementary teachers’ knowledge for teaching mathematics: Mathematics Curriculum Knowledge, Mathematics Learner Knowledge, Fundamental Mathematics Conceptual Knowledge, Mathematics Pedagogical Content Knowledge, and Mathematics Pedagogical Procedural Knowledge. The first three categories of knowledge play a significant role in mathematics instruction as an integrated form within Mathematics Pedagogical Content Knowledge. This study also demonstrated that Mathematics Pedagogical Procedural Knowledge might play a pivotal role in constructing Mathematics Pedagogical Content Knowledge. These findings are connected to results from relevant studies in terms of the significant role of teachers’ knowledge in mathematics instruction.



Developing Primary Mathematics Teaching

Developing Primary Mathematics Teaching Author Tim Rowland
ISBN-10 9781446207314
Release 2009-03-09
Pages 256
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How can KS1/2 teachers improve their mathematics teaching? This book helps readers to become better, more confident teachers of mathematics by enabling them to focus critically on what they know and what they do in the classroom. Building on their close observation of primary mathematics classrooms, the authors provide those starting out in the teaching profession with a four-stage framework which acts as a tool of support for developing their teaching: - making sense of foundation knowledge - focusing on what teachers know about mathematics - transforming knowledge - representing mathematics to learners through examples, analogies, illustrations and demonstrations - connection - helping learners to make sense of mathematics through understanding how ideas and concepts are linked to each other - contingency - what to do when the unexpected happens Each chapter includes practical activities, lesson descriptions and extracts of classroom transcripts to help teachers reflect on effective practice.



Big Ideas in Primary Mathematics

Big Ideas in Primary Mathematics Author Robert Newell
ISBN-10 9781473987135
Release 2016-11-14
Pages 320
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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.



Primary Mathematics

Primary Mathematics Author Heather Cooke
ISBN-10 9781847879493
Release 2000-10-26
Pages 208
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Designed for self-study, this book helps teachers extend and consolidate their understanding of essential mathematical topics.



Transforming Primary Mathematics

Transforming Primary Mathematics Author Mike Askew
ISBN-10 9781317357568
Release 2015-11-19
Pages 172
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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.



Teaching Mathematics in Primary Schools

Teaching Mathematics in Primary Schools Author Robyn Jorgensen
ISBN-10 1742694160
Release 2011-07-01
Pages 400
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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.