Understanding and Teaching Primary Mathematics

Understanding and Teaching Primary Mathematics
Author: Tony Cotton
Publisher: Routledge
Total Pages: 261
Release: 2014-04-29
Genre: Education
ISBN: 1317614399

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.

Developing Understanding In Primary Mathematics

Developing Understanding In Primary Mathematics
Author: Deirdre Pettitt
Publisher: Routledge
Total Pages: 199
Release: 2003-12-16
Genre: Education
ISBN: 1135719683

This text presents a philosophical yet classroom approach to mathematics teaching, and examines how mathematics is taught across the curriculum and age range in primary school. It explores the role of play, story, drama, pattern, sound, and children's drawings and games in maths teaching.

Developing Primary Mathematics Teaching

Developing Primary Mathematics Teaching
Author: Tim Rowland
Publisher: SAGE
Total Pages: 257
Release: 2009-03-09
Genre: Education
ISBN: 1446207315

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.

Improving Primary Mathematics Education, Teaching and Learning

Improving Primary Mathematics Education, Teaching and Learning
Author: Mellony Graven
Publisher: Springer
Total Pages: 273
Release: 2017-01-19
Genre: Education
ISBN: 1137529806

This book focuses on how to improve the teaching and learning of primary level mathematics education within resource-constrained contexts. It builds on two large numeracy projects within South Africa which speak to broader, global concerns and highlight how research and development not only enables one to meet ethical imperatives but also explore how further interventions can be developed. Teacher and research communities must work together to create mutually beneficial relationships and establish a cohesive understanding of the requirements of primary mathematics education.

Strengths-Based Teaching and Learning in Mathematics

Strengths-Based Teaching and Learning in Mathematics
Author: Beth McCord Kobett
Publisher: Corwin Press
Total Pages: 189
Release: 2020-02-27
Genre: Education
ISBN: 1544374925

"This book is a game changer! Strengths-Based Teaching and Learning in Mathematics: 5 Teaching Turnarounds for Grades K- 6 goes beyond simply providing information by sharing a pathway for changing practice. . . Focusing on our students’ strengths should be routine and can be lost in the day-to-day teaching demands. A teacher using these approaches can change the trajectory of students’ lives forever. All teachers need this resource! Connie S. Schrock Emporia State University National Council of Supervisors of Mathematics President, 2017-2019 NEW COVID RESOURCES ADDED: A Parent’s Toolkit to Strengths-Based Learning in Math is now available on the book’s companion website to support families engaged in math learning at home. This toolkit provides a variety of home-based activities and games for families to engage in together. Your game plan for unlocking mathematics by focusing on students’ strengths. We often evaluate student thinking and their work from a deficit point of view, particularly in mathematics, where many teachers have been taught that their role is to diagnose and eradicate students’ misconceptions. But what if instead of focusing on what students don’t know or haven’t mastered, we identify their mathematical strengths and build next instructional steps on students’ points of power? Beth McCord Kobett and Karen S. Karp answer this question and others by highlighting five key teaching turnarounds for improving students’ mathematics learning: identify teaching strengths, discover and leverage students’ strengths, design instruction from a strengths-based perspective, help students identify their points of power, and promote strengths in the school community and at home. Each chapter provides opportunities to stop and consider current practice, reflect, and transfer practice while also sharing · Downloadable resources, activities, and tools · Examples of student work within Grades K–6 · Real teachers’ notes and reflections for discussion It’s time to turn around our approach to mathematics instruction, end deficit thinking, and nurture each student’s mathematical strengths by emphasizing what makes them each unique and powerful.

Teaching Mathematics in Primary Schools

Teaching Mathematics in Primary Schools
Author: Robyn Jorgensen
Publisher: Routledge
Total Pages: 451
Release: 2020-08-12
Genre: Education
ISBN: 1000247708

'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.' Australian Primary Mathematics Classroom In our technology-rich world, numeracy is just as important as the smartphone in your pocket. Students need to develop mathematical ways of seeing the world and strong problem-solving skills, and those foundations are taught in the primary school classroom. Teaching Mathematics in Primary Schools covers the mathematical content taught in primary and middle years, always emphasising how students can connect what they learn in mathematics with other curriculum areas and with the world beyond the classroom. The authors draw on the latest international research to show how teachers can develop a rich repertoire of classroom teaching techniques, and effective planning, assessment and reporting methods. They outline approaches to creating supportive learning environments for all students, and to building their knowledge and confidence in using mathematics. This third edition has been updated throughout and includes a new chapter on numeracy. Evidence-based uses of digital technologies to support learning and teaching are included in every chapter. With practical strategies that can be implemented in the classroom, this book is an invaluable resource for pre-service and early career primary and middle years mathematics teachers.

Primary Mathematics: Teaching For Understanding

Primary Mathematics: Teaching For Understanding
Author: Barmby, Patrick
Publisher: McGraw-Hill Education (UK)
Total Pages: 232
Release: 2009-09-01
Genre: Education
ISBN: 0335229263

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.....

Developing Essential Understanding of Geometry for Teaching Mathematics in Grades 6-8

Developing Essential Understanding of Geometry for Teaching Mathematics in Grades 6-8
Author: Nathalie Sinclair
Publisher: National Council of Teachers of English
Total Pages: 96
Release: 2012-01
Genre: Critical thinking
ISBN: 9780873536912

Why are there so many formulas for area and volume, and why do some of them look alike? Why does one quadrilateral have no special name while another has several, like square, rectangle, rhombus, and parallelogram—and why are all these names useful? How much do you know … and how much do you need to know? Helping your students develop a robust understanding of geometry requires that you understand this mathematics deeply. But what does that mean? This book focuses on essential knowledge for teachers about geometry. It is organized around four big ideas, supported by multiple smaller, interconnected ideas—essential understandings. Taking you beyond a simple introduction to geometry, the book will broaden and deepen your mathematical understanding of one of the most challenging topics for students—and teachers. It will help you engage your students, anticipate their perplexities, avoid pitfalls, and dispel misconceptions. You will also learn to develop appropriate tasks, techniques, and tools for assessing students’ understanding of the topic.

Essential Primary Mathematics

Essential Primary Mathematics
Author: Caroline Rickard
Publisher: McGraw-Hill Education (UK)
Total Pages: 339
Release: 2013-05-16
Genre: Education
ISBN: 0335247032

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