Yes, but why? Teaching for understanding in mathematics

Author: Ed Southall

Publisher: SAGE

ISBN: 1526412403

Category: Education

Page: 336

View: 1813

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Getting the right answers in maths is only half the problem. Understanding why what you’re doing works is the part that often stumps students and teachers alike. Does maths feels like a collection of random rules and steps that somehow lead you to an answer? Don’t worry you’re not alone. Ask yourself: why do we have odd and even numbers? Why do two negative numbers multiply to make a positive? Why do fraction operations work? What is cosine and where does it come from? Yes, but why? answers all of your questions, and sheds light on the hidden connections between everything in mathematics at school. Maths makes sense. It always has, but until now maybe no-one ever showed you. A must-read for those training to teach primary or secondary mathematics via university-based (PGCE, BEd, BA w/QTS) or school-based (School Direct, SCITT, Teach First) routes and current teachers wishing to deepen their mathematical understanding. FIND OUT MORE ABOUT THE AUTHOR BEHIND THE BOOK WITH OUR SPECIAL FEATURE: 60 Seconds with Ed Southall

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: 1912

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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.

Geometry Snacks

Author: Ed Southall

Publisher: Tarquin

ISBN: 1911093711

Category: Mathematics

Page: 94

View: 4096

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Geometry Snacks is a mathematical puzzle book filled with geometrical figures and questions designed to challenge, confuse and ultimately enlighten enthusiasts of all ages.

Becoming a Successful Teacher of Mathematics

Author: Howard Tanner,Sonia Jones

Publisher: Routledge

ISBN: 1134580894

Category: Education

Page: 256

View: 5002

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Becoming a Successful Teacher of Maths is a practical guide for newly qualified teachers of secondary mathematics. It develops the essential core knowledge, skills and understanding demanded by the new DfEE requirements for courses of initial teacher training. It is based on research findings relating to the organisation and management of maths classrooms, teaching approaches, assessment and the common misconceptions which often hinder pupils' progress in key areas of the National Curriculum. Theoretical principles are exemplified through case-study material. Suggestions for school-based activities are made. While being a practical 'how to' guide for beginning teachers, it also offers critical insights for more experienced teachers reflecting on their practice.

Good Questions for Math Teaching

Why Ask Them and what to Ask, K-6

Author: Peter Sullivan,Pat Lilburn

Publisher: Math Solutions

ISBN: 0941355519

Category: Education

Page: 103

View: 3199

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Provides tips and advice for teachers on creating effective open-ended questions for use in the mathematics classroom.

How I Wish I'd Taught Maths

Lessons Learned from Research, Conversations with Experts, and 12 Years of Mistakes

Author: Craig Barton

Publisher: John Catt Educational

ISBN: 9781911382492

Category: Mathematics

Page: 452

View: 6238

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Craig Barton is one of the world's most respected teachers of mathematics. In his remarkable new book, he explains how he has delved into the world of academic research and emerged with a range of simple, practical, effective strategies to save time and energy and have a positive impact on the long-term learning and enjoyment of students.

Key Ideas in Teaching Mathematics

Research-based guidance for ages 9-19

Author: Anne Watson,Keith Jones,Dave Pratt

Publisher: OUP Oxford

ISBN: 0191643416

Category: Mathematics

Page: 272

View: 2505

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Big ideas in the mathematics curriculum for older school students, especially those that are hard to learn and hard to teach, are covered in this book. It will be a first port of call for research about teaching big ideas for students from 9-19 and also has implications for a wider range of students. These are the ideas that really matter, that students get stuck on, and that can be obstacles to future learning. It shows how students learn, why they sometimes get things wrong, and the strengths and pitfalls of various teaching approaches. Contemporary high-profile topics like modelling are included. The authors are experienced teachers, researchers and mathematics educators, and many teachers and researchers have been involved in the thinking behind this book, funded by the Nuffield Foundation. An associated website, hosted by the Nuffield Foundation, summarises the key messages in the book and connects them to examples of classroom tasks that address important learning issues about particular mathematical ideas.

Concept-Based Mathematics

Teaching for Deep Understanding in Secondary Classrooms

Author: Jennifer T.H. Wathall

Publisher: Corwin Press

ISBN: 150633265X

Category: Education

Page: 296

View: 2575

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Give math students the connections between what they learn and how they do math—and suddenly math makes sense If your secondary-school students are fearful of or frustrated by math, it’s time for a new approach. When you teach concepts rather than rote processes, you help students discover their own natural mathematical abilities. This book is a road map to retooling how you teach math in a deep, clear, and meaningful way to help students achieve higher-order thinking skills. Jennifer Wathall shows you how to plan units, engage students, assess understanding, incorporate technology, and there’s even a companion website with additional resources.

Learning to Teach Mathematics in the Secondary School

A companion to school experience

Author: Sue Johnston-Wilder,Clare Lee,David Pimm

Publisher: Routledge

ISBN: 1317372360

Category: Education

Page: 318

View: 6433

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Learning to Teach Mathematics in the Secondary School combines theory and practice to present a broad introduction to the opportunities and challenges of teaching mathematics in the secondary school classroom. This fourth edition has been fully updated to reflect the latest changes to the curriculum and research in the field, taking into account key developments in teacher training and education, including examinations and assessment. Written specifically with the new and student teacher in mind, the book covers a wide range of issues related to the teaching of mathematics, such as: why we teach mathematics??????? the place of mathematics in the National Curriculum ???? planning, teaching and assessing for mathematics learning?????????? how to communicate mathematically???? using digital technology to advance mathematical learning working with students with special educational needs post-16 teaching the importance of professional development the affective dimension when learning mathematics, including motivation, confidence and resilience Already a major text for many university teaching courses, this revised edition features a glossary of useful terms and carefully designed tasks to prompt critical reflection and support thinking and writing up to Masters Level. Issues of professional development are also examined, as well as a range of teaching approaches and styles from whole-class strategies to personalised learning, helping you to make the most of school experience, during your training and beyond. Designed for use as a core textbook, Learning to Teach Mathematics in the Secondary School provides essential guidance and advice for all those who aspire to be effective mathematics teachers.

Understanding and Teaching Primary Mathematics

Author: Tony Cotton

Publisher: Routledge

ISBN: 1317443209

Category: Education

Page: 312

View: 1580

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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 Mathematics Teacher's Handbook

Author: Mike Ollerton

Publisher: A&C Black

ISBN: 1847060110

Category: Education

Page: 176

View: 3765

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A comprehensive handbook for mathematics teachers with practical advice on all aspects of the maths curriculum including developing an effective classroom culture, assessment and progressing mathematical concept development.

Teaching Mathematics Visually and Actively

Author: Tandi Clausen-May

Publisher: SAGE

ISBN: 1446286711

Category: Education

Page: 120

View: 5676

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This practical book provides teachers in primary and secondary schools with advice and resources to develop a visual and active approach to teaching mathematics. It includes, specific examples of teaching strategies and ideas for lesson activities to support teaching mathematics to learners who take information and ideas visually and actively. Accompanying this second edition is a handy CD that includes a range of resources for teaching each topic including: - Dynamic PowerPoint animations which can be used to help learners to develop their understanding of key mathematical concepts - Posters of each concept And in addition to all this, each chapter suggests even further links to other useful resources for every topic to enhance your teaching. With clear explanations and strong visual layout, this is an ideal resource for teachers, SENCOs (Special Educational Needs Co-ordinators) and teaching assistants who want to motivate their learners with different and exciting ways of teaching and learning maths.

The Perfect Maths Lesson

Author: Ian Loynd

Publisher: Crown House Publishing

ISBN: 1781352003

Category: Education

Page: 128

View: 1536

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The Perfect (Ofsted) Maths Lesson recognises that teaching is hard and that, although no teacher is perfect, their lessons can be. Drawing on his experience as a secondary maths teacher and assistant head teacher Ian Loynd provides practical ideas and common-sense methods that can help every teacher to be outstanding, and uncovers the essential strategies that help teachers appear to walk on water.

Mathematics Explained for Primary Teachers

Author: Derek Haylock,Ralph Manning

Publisher: SAGE

ISBN: 1473907047

Category: Education

Page: 496

View: 8816

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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 Mindsets

Unleashing Students' Potential through Creative Math, Inspiring Messages and Innovative Teaching

Author: Jo Boaler

Publisher: John Wiley & Sons

ISBN: 1118418271

Category: Education

Page: 320

View: 5577

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Banish math anxiety and give students of all ages a clear roadmap to success Mathematical Mindsets provides practical strategies and activities to help teachers and parents show all children, even those who are convinced that they are bad at math, that they can enjoy and succeed in math. Jo Boaler—Stanford researcher, professor of math education, and expert on math learning—has studied why students don't like math and often fail in math classes. She's followed thousands of students through middle and high schools to study how they learn and to find the most effective ways to unleash the math potential in all students. There is a clear gap between what research has shown to work in teaching math and what happens in schools and at home. This book bridges that gap by turning research findings into practical activities and advice. Boaler translates Carol Dweck's concept of 'mindset' into math teaching and parenting strategies, showing how students can go from self-doubt to strong self-confidence, which is so important to math learning. Boaler reveals the steps that must be taken by schools and parents to improve math education for all. Mathematical Mindsets: Explains how the brain processes mathematics learning Reveals how to turn mistakes and struggles into valuable learning experiences Provides examples of rich mathematical activities to replace rote learning Explains ways to give students a positive math mindset Gives examples of how assessment and grading policies need to change to support real understanding Scores of students hate and fear math, so they end up leaving school without an understanding of basic mathematical concepts. Their evasion and departure hinders math-related pathways and STEM career opportunities. Research has shown very clear methods to change this phenomena, but the information has been confined to research journals—until now. Mathematical Mindsets provides a proven, practical roadmap to mathematics success for any student at any age.

Primary Mathematics: Teaching For Understanding

Teaching for Understanding

Author: Barmby, Patrick,Bilsborough, Lynn,Harries, Tony

Publisher: McGraw-Hill Education (UK)

ISBN: 0335229263

Category: Education

Page: 232

View: 9115

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This book addresses the particular areas of mathematics within the primary curriculum that teachers find difficult to teach and in which children struggle to achieve.. .It begins with introductory sections on how children learn mathematics and is then organised on a subject area basis, dealing with the teaching of particular maths topics. Key topics addressed include rounding and measuring, means and medians, fractions, negative numbers, commutative and associative laws in number operations, and shape and space. .Within each chapter, the authors examine the themes of representing, reasoning and communicating, drawing out both the subject knowledge and ways of teaching each topic. A reference section for studies drawn upon is provided at the end of each chapter.....

Mathematics for Elementary School Teachers

Author: Tom Bassarear

Publisher: Cengage Learning

ISBN: 0840054637

Category: Mathematics

Page: 752

View: 5885

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Intended for the one- or two-semester course required of Education majors, MATHEMATICS FOR ELEMENTARY SCHOOL TEACHERS, 5E, offers future teachers a comprehensive mathematics course designed to foster concept development through examples, investigations, and explorations. Visual icons throughout the main text allow instructors to easily connect content to the hands-on activities in the corresponding Explorations Manual. Bassarear presents real-world problems, problems that require active learning in a method similar to how archaeologists explore an archaeological find: they carefully uncover the site, slowly revealing more and more of the structure. The author demonstrates that there are many paths to solving a problem, and that sometimes, problems have more than one solution. With this exposure, future teachers will be better able to assess student needs using diverse approaches. Important Notice: Media content referenced within the product description or the product text may not be available in the ebook version.

Becoming an Outstanding Mathematics Teacher

Author: Jayne Bartlett

Publisher: Routledge

ISBN: 1135092826

Category: Education

Page: 184

View: 533

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Raising standards in mathematics is high on government education agendas and remains a key priority for schools. Schools strive to provide an outstanding education for their pupils preparing them to compete not only in a national but an international market. At the heart of this is the classroom and the classroom teacher. So how do you plan lessons that engage and motivate students and what makes a mathematics lesson outstanding? Becoming an Outstanding Mathematics Teacher aims to help teachers develop approaches to teaching and learning that take into account individual students needs and abilities to best facilitate learning. Taking a fresh approach it offers a wide range of techniques for planning lessons that that allow them to use current resources (including themselves) in a more innovative way to produce outstanding results. With a strong focus on activating learning and supporting pupils as they connect mathematical concepts and processes and develop their individual learning journeys the book covers: A step-by-step approach to planning for learning Assessment for learning and planning for progress Developing effective questioning strategies to promote thinking skills in pupils Techniques for differentiation to ensure all pupils make progress Using the classroom environment to develop a culture of learning Packed full of practical strategies and activities that are easy to implement and including sample lesson plans, this timely new book is essential reading for newly qualified and experienced mathematics teachers that want to ensure outstanding teaching and learning in their classrooms.