Reflective practice is at the heart of effective teaching, and this book helps you develop into a reflective teacher of mathematics. Everything you need is here: guidance on developing your analysis and self-evaluation skills, the knowledge of what you are trying to achieve and why, and examples of how experienced teachers deliver successful lessons. The book shows you how to plan lessons, how to make good use of resources and how to assess pupils' progress effectively. Each chapter contains points for reflection, which encourage you to break off from your reading and think about the challenging questions that you face as a new teacher. The book is supplemented by a companion website, with: " Videos of real lessons so you can see the skills discussed in the text in action " Links to a range of sites that provide useful additional support " Extra planning and resource materials. If you are training to teach mathematics this book will help you to improve your classroom performance, by providing you with practical advice, but also by helping you to think in depth about the key issues. It also provides examples of the research evidence that is needed in academic work at Masters level, essential for anyone undertaking an M-level PGCE. Paul Chambers was formerly course leader for PGCE mathematics at Edge Hill University.
'Chambers and Timlin write with clarity and purpose. The authors link the theory of teaching mathematics with simple reflective questions and interesting maths tasks. There is practical advice on planning, assessment and differentiations, amongst other pertinent themes' -Jacqueline Oldham, PGCE Secondary Mathematics Course Tutor, St Mary's University College 'This is a very practical guide for learning to teach mathematics for student teachers on all training routes. Chapters are focused and readable but succeed in tackling issues in depth giving the reader strong academic support' -Anne Haworth, PGCE Secondary Mathematics Course Tutor, University of Manchester This book is an essential companion for anyone training to teach mathematics in secondary education. It offers clear and engaging coverage of all major aspects of mathematics teaching that you will need to engage with in order to successfully train for the classroom. This Second Edition includes: a new chapter exploring different teaching approaches including active learning, effective group work and creative mathematics teaching expanded coverage of assessment, using resources in the classroom and metacognition and learning updated coverage of recent developments in education policy and the 2012 Teachers' Standards This is essential reading for anyone training to teach secondary mathematics including postgraduate (PGCE, SCITT) and school-based routes into teaching. Free digital resources for extra support is available in the book's companion website. It includes: Web links and further reading for each chapter A video series of a sample classroom lesson filmed in a real-life setting Visit www.sagepub.co.uk/chamberstimlin
‘This original book shows the crucial importance of personal philosophies of mathematics. Using current research it guides us to reflect on our attitudes and beliefs. Essential reading for anybody interested in mathematics and its teaching.’ Paul Ernest, Emeritus Professor of Mathematics Education, University of Exeter Teaching mathematics can be challenging, and returning to a mathematics classroom yourself may not inspire you with confidence. This book can help you to become an assured teacher who can give young learners the high quality mathematics education that they deserve, by exploring the philosophy that lies behind good mathematics teaching and its application in the classroom. Throughout the book you are encouraged to put your own thoughts on mathematics learning and teaching under the microscope and examine your perceptions and understanding in order to develop as a critically reflective teacher, aware of potential challenges and what underpins effective mathematics teaching in primary schools. Coverage includes: · developing your own philosophy towards mathematics teaching · understanding links between confidence and learning · the importance of subject knowledge · common beliefs and attitudes among mathematics learners · how to develop your relationship with the subject. This is essential reading for all students studying primary mathematics on initial teacher education courses, including undergraduate (BEd, BA with QTS), postgraduate (PGCE, School Direct, SCITT, Teach First) and NQTs. Elizabeth Jackson has over thirty years’ experience of mathematics education through primary and secondary school teaching, lecturing in initial teacher education and supervising mathematics Master’s dissertations, as well as conducting research into mathematics and writing.
Education by Clare Lee,Sue Johnston-Wilder,Robert Ward-Penny
A Practical Guide to Teaching Mathematics in the Secondary School offers straightforward advice, inspiration and support for mathematics teachers whether in training or newly qualified. Based on the best research and practice available, it offers a wide range of tried and tested approaches that succeed in secondary classrooms. Each chapter contains a wealth of tasks and ideas that allow teachers to reflect on the approaches and make plans for using them in their own classrooms, and offers ideas for lesson plans, learning activities and suggested further reading and development. Illustrated throughout with case studies and practical insights from classroom observations and experience, this book covers key aspects of mathematics teaching, including: managing the class and learning environment; teaching the topics of mathematics; encouraging mathematical thinking; choosing and using resources; using multi-media technology; assessing work in mathematics. A Practical Guide to Teaching Mathematics in the Secondary School is an essential companion to the core textbook Learning to Teach Mathematics in the Secondary School. Written by expert professionals, it supports you in your development of imaginative and effective lessons on a variety of curriculum topics in different teaching situations.
Education by Merrilyn Goos,Gloria Stillman,Colleen Vale
Excellent mathematics teachers make a major difference to the learning outcomes of the students they teach. What are the professional skills and knowledge that really matter? Teaching Secondary School Mathematics is a research based introduction to the professional knowledge, attributes and practices needed to teach mathematics well at secondary level. The authors explain the challenges that secondary mathematics teachers face today, and how they can build on the experiences students bring from primary school and from outside the classroom to ensure students develop concepts and skills in mathematical thinking and a positive attitude to mathematics. They outline the secondary mathematical curriculum and methods of assessment, and examine the pedagogical strategies teachers can use to engage student interest in mathematical concepts. They emphasise the importance of working with mathematical reasoning and problem solving, real world applications, and mathematical communication skills. The core mathematical topics covered at secondary level are reviewed, and the authors also explore the issues teachers need to consider with students of diverse backgrounds. 'I highly recommend this book to practising mathematics teachers as well as pre-service teachers. The combination of research and practical teaching ideas ensures current and worthwhile advice for teaching secondary or middle school students.' Dr Judy Anderson, The University of Sydney 'An excellent book - very readable, interspersed with useful tasks which are grounded in attending to effective classroom practices. A much overdue resource for initial teacher preparation courses.' Associate Professor Glenda Anthony, Massey University
Education by Gregory Hine,Robyn Reaburn,Judy Anderson,Linda Galligan,Colin Carmichael,Michael Cavanagh,Bing Ngu,Bruce White
Author: Sue Johnston-Wilder,Peter Johnston-Wilder,David Pimm
Learning to Teach Mathematics in the Secondary School covers a wide range of issues in the teaching of mathematics and gives supporting activities to students to enable them to translate theory into practice. Topics covered include: mathematics in the National Curriculum different teaching approaches using ICT mathematics education for pupils with special needs in mathematics assessment and public examinations teaching mathematics post-16 professional development.
Education by Candia Morgan,Clare Tikly,Anne Watson
This accessible and thought-provoking book considers what beginning teachers need to know about learning, teaching, assessment, curriculum and professional development, in the context of teaching mathematics to eleven to nineteen year olds. It is part of a new series of books that has as its starting point the fact that PGCE students are already subject specialists. The authors show how mathematics teachers can communicate their own enthusiasm for the subject and inspire their pupils to learn and enjoy learning. They provide practical advice which will help teachers and student teachers to: plan, organize, manage and assess classroom work make decisions about the content, ordering and level of difficulty of lessons make sense of new subject material and how it contributes to wider educational aims develop professionally by developing the subject as a whole. This is a comprehensive introduction to teaching mathematics in the secondary school which will be invaluable to teachers beginning their careers and those who are training to be mathematics teachers.
This book presents an approach to the teaching of mathematics that departs radically from conventional prescription-oriented and management-based methods. It brings together recent developments in such diverse fields as continental and pragmatist philosophy, enactivist thought, critical discourses, cognitive theory, evolution, ecology, and mathematics, and challenges the assumptions that permeate much of mathematics teaching. The discussion focuses on the language used to frame the role of the teacher and is developed around the commonsense distinctions drawn between thought and action, subject and object, individual and collective, fact and fiction, teacher and student, and classroom tasks and real life. The discussion also addresses the question of how mathematics teaching can be reformed to better suit current academic and social climates. Making use of the theoretical framework of enactivism, the book explores the subject through an account of a middle school teacher's appreciation and understanding of her role. Teaching mathematics, as both the report of this teacher's experience and the discussion make clear, demands an embracing of ambiguity, uncertainty, complexity, and moral responsibility. Courses for Adoption Education: Mathematics for Elementary Teachers, Methods for Teaching Elementary Schools, Methods for Teaching Secondary Schools, Curriculum Studies, Critical Pedagogy Special Features *Elucidates the importance and relationship between theory and practice. Employs reflective teaching techniques to focus students on their own learning, knowledge, and understanding of mathematics.Details a collaborative venture that traces the development of new thinking and insights about math teaching and learning. *A fine blending of theory with practice.
"Combining research-based theory with fresh, practical guidance for the classroom, The Essential Guide to Secondary Mathematics is a stimulating new resource for all student and practising teachers looking for new ideas and inspiration. With an emphasis on exciting your mathematical and pedagogical passions, it focuses on the dynamics of the classroom and the process of designing and using rich mathematical tasks. Written by a highly experienced mathematics teacher who understands the realities of the secondary classroom, this book combines insights from the latest research into mathematical learning with useful strategies and ideas for engaging teaching. The text is punctuated by frequent tasks, some mathematical and others more reflective, which are designed to encourage independent thinking. Key topics covered include: - Preparing yourself: thinking about mathematics and pedagogy, taking care of your health and dealing with stress - Different styles of learning and teaching mathematics - Ideas for lessons: what does it take to turn an idea into a lesson? - Tasks, timings and resources - Equality and dealing positively with difference - Mathematical starters, fillers and finishers: achieving variety - The mathematical classroom community: seating layouts, displays and practical considerations - Assessment: effective strategies for responding to learners' mathematics and writing reports. The Essential Guide to Secondary Mathematics will be a valuable resource both for beginning teachers interested in developing their understanding, and for experienced teachers looking to re-evaluate their practice. Aiming to develop all aspects of your mathematics teaching, this book will help you to devise, adapt and implement ideas for successful and enjoyable teaching and learning"--
'The text provides powerful opportunities to challenge thinking and to encourage trainee teachers to articulate and justify their beliefs about the purposes of education, the nature of learning and the impact this has on their own developing practice in the classroom' - Marnie Seymour, Senior Lecturer in Primary Education, University of Winchester 'Through a variety of stimulus questions and a focus on 'what does this mean for you?', this book encourages pre-service teachers to develop habits of reflection that will guide their achievement of an authentic teacher identity' - Linley Cornish, Associate Professor, School of Education, University of New England, Australia An essential aspect of teaching is being able to reflect on your own practice and analyse your professional actions, and use this process to develop as a successful teacher. Reflective Practice for Teachers explores a range of key issues that you will need to engage with during your teacher preparation and early career in the classroom in order to deepen your understanding of teaching practice. Coverage includes: 'What does this mean for you?' boxes in every chapter that directly relate educational theory to the classroom The changing nature of teaching and the role of the teacher, and the importance of making personal evidence-based decisions How contemporary issues such as technology, global perspectives, and the importance of pedagogical practices can support effective teaching Guidance on how to reflect on the richness of diversity in classrooms, and the tensions and challenges that may result from differences. This is essential reading for teacher education students on university-based and school-based courses preparing to teach in primary and secondary education, and early career teachers seeking to continue their professional learning. Maura Sellars is a lecturer in Education at The University of Newcastle, Australia.
Teaching Secondary Mathematics, Third Edition is practical, student-friendly, and solidly grounded in up-to-date research and theory. This popular text for secondary mathematics methods courses provides useful models of how concepts typically found in a secondary mathematics curriculum can be delivered so that all students develop a positive attitude about learning and using mathematics in their daily lives. A variety of approaches, activities, and lessons is used to stimulate the reader's thinking--technology, reflective thought questions, mathematical challenges, student-life based applications, and group discussions. Technology is emphasized as a teaching tool throughout the text, and many examples for use in secondary classrooms are included. Icons in the margins throughout the book are connected to strands that readers will find useful as they build their professional knowledge and skills: Problem Solving, Technology, History, the National Council of Teachers of Mathematics Principles for School Mathematics, and "Do" activities asking readers to do a problem or activity before reading further in the text. By solving problems, and discussing and reflecting on the problem settings, readers extend and enhance their teaching professionalism, they become more self-motivated, and they are encouraged to become lifelong learners. The text is organized in three parts: *General Fundamentals--Learning Theory, Curriculum; and Assessment; Planning; Skills in Teaching Mathematics; *Mathematics Education Fundamentals--Technology; Problem Solving; Discovery; Proof; and *Content and Strategies--General Mathematics; Algebra 1; Geometry; Advanced Algebra and Trigonometry; Pre-Calculus; Calculus. New in the Third Edition: *All chapters have been thoroughly revised and updated to incorporate current research and thinking. *The National Council of Teachers of Mathematics Standards 2000 are integrated throughout the text. *Chapter 5, Technology, has been rewritten to reflect new technological advances. *A Learning Activity ready for use in a secondary classroom has been added to the end of each chapter. *Two Problem-Solving Challenges with solutions have been added at the end of each chapter. *Historical references for all mathematicians mentioned in the book have been added within the text and in the margins for easy reference. *Updated Internet references and resources have been incorporated to enhance the use of the text.
The arena in which the preparation of student-teachers for the teaching of mathematics takes place is shifting its foundations and moving its boundaries. The whole basis of teacher education at secondary level is in flux with a move towards teacher-education programmes which are largely school based. Increasingly, there is seen to be an important role for the school teacher who acts as mentor to the student teacher in some relationship with a tutor from the initial training i nstitution.; Teachers who are being encouraged to take on the mentoring role need preparation for its demands and teacher education courses need increasingly to make provision for the education and support of mentors. The purpose of this book is to discuss the mentoring process, to provide ideas and to highlight issues. It provides both practical help and guidance, and a philosophical consideration of the development of mathematics teachers and teaching.
Teaching to Learn, Learning to Teach uniquely addresses three problems that frequently concern pre-service and beginning teachers: classroom control, satisfying state and federal mandates, and figuring out exactly what is the role of the teacher. Integrating practical, theoretical, and critical teaching considerations, it presents a model student-centered approach for designing lessons, developing personal connections with students, and building classroom communities: PRO/CLASS Practices (Planning, Relationships, Organization, Community, Leadership, Assessment, Support, Struggle). Pre-service teachers are encouraged to reinterpret the principles and continually redefine them as they develop their own reflective practice. Changes in the Second Edition • Updates throughout with attention to the Common Core State Standards, high stakes testing, the possibilities and limitations of technology use in the classroom, and preparing for the job market\ • Fully revised chapter on literacy • New interviews with teachers • Companion Website: Supplemental planning, teaching, and assessment materials; 32 extended essays including a number of the author’s widely read Huffington Post columns; interviews with beginning and veteran teachers; Ideas for Your Professional Portfolio, Resume, and Cover Letter; Recommended Websites for Teachers
This book brings together ongoing debates about personalised learning, creativity and ICT in education, with a cross-curricular focus, and establishes a principled framework for cross-curricular teaching and learning in Science.
What is the role of the individual school 'subject' and 'subject teacher' within school? Is it to teach a set of core subject knowledge, skills and understanding in way that remains faithful to long-standing subject cultures and pedagogies? Or is there another way to consider how the curriculum, and the notion of individual subjects and teachers' pedagogy, could be constructed. Working from the key principle that there is no curriculum development without teacher development, Cross-Curricular Teaching and Learning in the Secondary School argues for a new, skilful pedagogy which embeds an authentic, cross-curricular approach to teaching and learning in the work of the individual teacher. This approach respects and builds on individual subject cultures, embracing and exploring links between subject knowledge and subject pedagogies in an enriching way. Drawing on examples and case studies taken from innovative practices in different schools and subject areas, as well as summarising lessons from key pieces of research evidence this book includes: Clear theoretical frameworks for cross-curricular processes of teaching and learning A lively account of key issues blended with engaging stories of current practice An analysis of the use of language, ICT and assessment as key components of a skilful pedagogical practice that affects how teaching is delivered and how pupils learn in cross-curricular contexts Practical tasks and questions for reflective practice This timely textbook is essential reading for all students on Initial Teacher Training courses and PGCE courses as well as practising teachers looking to holistically introduce cross-curricular themes and practices in their own subjects.
Education by Lianghuo Fan,Luc Trouche,Chunxia Qi,Sebastian Rezat,Jana Visnovska
This book focuses on issues related to mathematics teaching and learning resources, including mathematics textbooks, teacher guides, student learning and assessment materials, and online resources. The book highlights various theoretical and methodological approaches used to study teaching and learning resources, and addresses the areas of resources, teachers, and students at an international level. As for the resources, the book examines the role textbooks and other curricular or learning resources play in mathematics teaching, learning, and assessment. It asks questions such as: Could we consider different types of textbooks and roles they play in teaching and learning? How does the digitalization of information and communication affect these roles? What are defining features of e-textbooks, and how could we characterize the differences between the traditional textbooks and e-textbooks? As for the teachers, the book discusses the relationships between teachers’ individual and collective resources, and the way in which we could model such relationships. Specific questions addressed are: What is the role of teachers in developing textbooks and other teaching and learning materials? What are the relationships between resource designers and users? What are the consequences of these changing roles and relationships for the teaching of mathematics, and for teacher knowledge and professional development? As for the students, the book explores how students, as well as their teachers, interact through resources. It raises and addresses questions such as: What are the effects of modern ICT (particularly internet) on students’ use and the design of resources? How do changing patterns of use and design affect student behaviour, learning, and relationships to the subject of mathematics?
A companion to Aspects of Teaching Secondary Mathematics, this book introduces and explores the contemporary issues and key ideas entailed in the teaching and learning of this subject. This book is concerned with exploring the bigger picture of mathematics education, and is aimed particularly at those learning to teach mathematics; teachers in the classroom who want to continue thinking and developing as mathematics teachers; and those concerned with education who would like to be better informed about mathematics education. Divided into seven sections to help structure reading, this book offers a completely up-to-date, comprehensive overview, written by the most-known, well-respected experts in the field.
Informed teaching is built upon a clear understanding of a wide range of professional issues. Reflective Teaching and Learning in the Secondary School offers a comprehensive overview of core teaching topics for professional studies modules on secondary initial teacher education courses. Offering a critically engaged examination of practical and theoretical topics in order to encourage deeper reflection on what underpins good teaching practice, this second edition has been carefully updated to provide a contemporary introduction to secondary education. New to this edition: a new chapter on diversity, social justice and global issues in teaching a new chapter on pastoral and tutorial roles masters-level critical reading tasks in every chapter awareness of recent developments in education policy. This is indispensable reading for anyone training to teach in secondary education including postgraduate (PGCE, SCITT) and school-based routes into teaching. A companion website including activities and exemplar material can be found at: www.sagepub.co.uk/dymoke Sue Dymoke is Senior Lecturer in Education at the University of Leicester.