Yes, but why? Teaching for understanding in mathematics


Author: Ed Southall
Publisher: SAGE
ISBN: 1526412403
Category: Education
Page: 336
View: 9554

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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

Yes, But Why? Teaching for Understanding in Mathematics


Author: Ed Southall
Publisher: Sage Publications Limited
ISBN: 9781473948952
Category: Education
Page: 336
View: 5861

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This book sheds light on the hidden connections between everything in mathematics at school so teachers can explain it while fully understanding it themselves.

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: 3909

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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.

Becoming a Successful Teacher of Mathematics


Author: Howard Tanner,Sonia Jones
Publisher: Routledge
ISBN: 1134580894
Category: Education
Page: 256
View: 9074

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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.

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: 2333

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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.

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: 3861

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

Debates in Mathematics Education


Author: Dawn Leslie,Heather Mendick
Publisher: Routledge
ISBN: 1134483724
Category: Education
Page: 232
View: 3770

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Debates in Mathematics Education explores the major issues that mathematics teachers encounter in their daily lives. It engages with established and contemporary debates, promotes and supports critical reflection and aims to stimulate both novice and experienced teachers to reach informed judgements and argue their point of view with deeper theoretical knowledge and understanding. Written by experts in the field of mathematics education, it investigates and offers fresh insight into topics of central importance, including: Gender, social inequality and mathematics Mathematics, politics and climate change The history and culture of mathematics Using popular culture in the mathematics classroom The concept of ‘ability’ and its impact on learning What we mean by ‘teaching for understanding’ Choosing and using examples in teaching The fitness of formal examinations. Designed to stimulate discussion and support you in your own research, writing and practice, Debates in Mathematics Education will be a valuable resource for any student or practising teacher engaged in initial teacher training, continuing professional development or Masters level study. It also has much to offer to those leading initial teacher education programmes, and to beginning doctoral students looking for a survey of the field of mathematics education research.

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: 5353

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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.

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: 7376

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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.

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: 3782

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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.

Mathematics Explained for Primary Teachers


Author: Derek Haylock,Ralph Manning
Publisher: SAGE
ISBN: 1473907047
Category: Education
Page: 496
View: 4774

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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

The Mathematics Teacher's Handbook


Author: Mike Ollerton
Publisher: A&C Black
ISBN: 1847060110
Category: Education
Page: 176
View: 8800

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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: 1649

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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.

Interactive Maths Teaching in the Primary School


Author: Nick Pratt
Publisher: SAGE
ISBN: 144623021X
Category: Education
Page: 152
View: 6116

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'Nick Pratt's book looks in detail at the real meaning of teaching mathematics interactively in primary schools. Each section is set clearly within a context, is linked by 'key ideas' – the important bits to think about – and is summarised to give a succinct close to the chapter's content and thinking. It is a book that the reader will definitely find useful and thought provoking. It certainly made me consider how small changes and a wider variety of approaches in the classroom can make big changes in children's learning and understanding of mathematical concepts' - Mike Eatwell, Primary Maths Advisor, Bristol LEA Using a whole-class, interactive approach to teaching mathematics is a key feature of the National Numeracy Strategy (NNS), and this book looks at not only what works but also why things work. Teachers will be able to understand why and how the various teaching strategies they are using in their classrooms have a positive effect on children's learning. The book covers: " how to engage in meaningful reflective practice that will improve your lessons " how to use whiteboards " making mathematical meaning through talk " getting the whole class interacting " thinking, talking and acting mathematically " teaching number - starting points " teaching shape and space - starting points " developing your interactive teaching " a glossary of terms It is aimed at both practising and trainee teachers, and offers clear subject guidance as well as an explanation of a key part of the NNS. It supports both individuals and mathematics subject leaders delivering INSET to their colleagues.

Becoming an Outstanding Mathematics Teacher


Author: Jayne Bartlett
Publisher: Routledge
ISBN: 1135092826
Category: Education
Page: 184
View: 7182

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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.

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: 1292

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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.

The Magic of Math

Solving for x and Figuring Out Why
Author: Arthur Benjamin
Publisher: Basic Books
ISBN: 0465061621
Category: Mathematics
Page: 336
View: 8828

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The Magic of Math is the math book you wish you had in school. Using a delightful assortment of examples—from ice cream scoops and poker hands to measuring mountains and making magic squares—this book empowers you to see the beauty, simplicity, and truly magical properties behind those formulas and equations that once left your head spinning. You'll learn the key ideas of classic areas of mathematics like arithmetic, algebra, geometry, trigonometry, and calculus, but you'll also have fun fooling around with Fibonacci numbers, investigating infinity, and marveling over mathematical magic tricks that will make you look like a math genius! A mathematician who is known throughout the world as the “mathemagician,” Arthur Benjamin mixes mathematics and magic to make the subject fun, attractive, and easy to understand. In The Magic of Math, Benjamin does more than just teach skills: with a tip of his magic hat, he takes you on as his apprentice to teach you how to appreciate math the way he does. He motivates you to learn something new about how to solve for x, because there is real pleasure to be found in the solution to a challenging problem or in using numbers to do something useful. But what he really wants you to do is be able to figure out why, for that's where you'll find the real beauty, power, and magic of math. If you are already someone who likes math, this book will dazzle and amuse you. If you never particularly liked or understood math, Benjamin will enlighten you and—with a wave of his magic wand—turn you into a math lover.

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: 7847

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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.

Learning to Love Math

Teaching Strategies that Change Student Attitudes and Get Results
Author: Judy Willis
Publisher: Assn for Supervision & Curriculum
ISBN: 9781416610366
Category: Education
Page: 195
View: 9755

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Is there a way to get students to love math? Dr. Judy Willis responds with an emphatic yes in this informative guide to getting better results in math class. Tapping into abundant research on how the brain works, Willis presents a practical approach for how we can improve academic results by demonstrating certain behaviors and teaching students in a way that minimizes negativity. With a straightforward and accessible style, Willis shares the knowledge and experience she has gained through her dual careers as a math teacher and a neurologist. In addition to learning basic brain anatomy and function, readers will learn how to * Improve deep-seated negative attitudes toward math. * Plan lessons with the goal of "achievable challenge" in mind. * Reduce mistake anxiety with techniques such as errorless math and estimation. * Teach to different individual learning strengths and skill levels. * Spark motivation. * Relate math to students' personal interests and goals. * Support students in setting short-term and long-term goals. * Convince students that they can change their intelligence. With dozens of strategies teachers can use right now, Learning to Love Math puts the power of research directly into the hands of educators. A Brain Owner's Manual, which dives deeper into the structure and function of the brain, is also included--providing a clear explanation of how memories are formed and how skills are learned. With informed teachers guiding them, students will discover that they can build a better brain . . . and learn to love math!