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GCSE Mathematics, An Informal Overview by Brian Daugherty Pdf
A broad description of the GCSE mathematics syllabus. The aim is to give an overview of the material, explaining basic concepts without necessarily going into too much detail. Thereby the fundamentals principles are emphasised and appropriate links and connections made between topics.
Mathematics: A Very Short Introduction by Timothy Gowers Pdf
The aim of this volume is to explain the differences between research-level mathematics and the maths taught at school. Most differences are philosophical and the first few chapters are about general aspects of mathematical thought.
An Introduction to Algebra - With Humour: Embracing G.C.S.E by Aubrey Wells Pdf
A chatty, informal & friendly script intending to make the subject matter enjoyable and a useful supplement to text books on Algebra. Areas covered include: * Arithmetic revision * Use of symbols - areas and volumes * Terminology * Reciprocals * Powers - and more powers * Alebraic multiplication & division * Binomial Products * Brackets - and more brackets * Factorisation * Simple equations & graphical representation * Transposition within equations * Simultaneous equations * Roots & radicals * Quadratic equations
International Reflections on the Netherlands Didactics of Mathematics by Marja van den Heuvel-Panhuizen Pdf
This open access book, inspired by the ICME 13 Thematic Afternoon on “European Didactic Traditions”, takes readers on a journey with mathematics education researchers, developers and educators in eighteen countries, who reflect on their experiences with Realistic Mathematics Education (RME), the domain-specific instruction theory for mathematics education developed in the Netherlands since the late 1960s. Authors from outside the Netherlands discuss what aspects of RME appeal to them, their criticisms of RME and their past and current RME-based projects. It is clear that a particular approach to mathematics education cannot simply be transplanted to another country. As such, in eighteen chapters the authors describe how they have adapted RME to their individual circumstances and view on mathematics education, and tell their personal stories about how RME has influenced their thinking on mathematics education.
Raising Achievement In Secondary Mathematics by Watson, Anne Pdf
A guide to teaching lower attaining students in secondary mathematics offers an alternative view of attainment and capability, arguing that teaching should be based on a learner's proficiency, rather than on knowledge deficits.
Contemporary Research in Adult and Lifelong Learning of Mathematics by Katherine Safford-Ramus,Jürgen Maaß,Evelyn Süss-Stepancik Pdf
This book is a selection of 15 papers developed by participants in ICME 13 held in Hamburg , presenting insights from the latest research on the andragogy of adult and lifelong learning of mathematics. It also investigates open questions, such as numeracy and mathematics skills, social and psychological influences on learning environments, as well as economic and political demands. The chapters offer examples, while at the same time highlighting important directions for further research. The book is divided into four parts: The first section provides an overview on the concept of “numeracy”, and the second focuses on adult students who are learning mathematics; the third part presents a teachers’ focus and the final part covers overarching themes. The book is of interest to classroom teachers, university teacher educators, and professional development providers.
Debates in Mathematics Education by Dawn Leslie,Heather Mendick Pdf
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.
International Perspectives on Home Education by P. Rothermel Pdf
This collection brings together the research of an eclectic mix of leading names in home-based education studies worldwide. It uses home education to explore contemporary education outside of school and place it into a global, political and critical context, and will be essential reading for home educators, academics and policymakers alike.
More Trouble with Maths acknowledges that there are many reasons why children and adults are unable to function mathematically. Difficulties include problems with rote learning basic facts and procedures, debilitating anxiety, poor working and short-term memories and mathematics vocabulary. Central to this new edition is a range of standardised tests and diagnostic activities, including a 15 minute test of basic mathematics, a thinking style test, tests of basic fact retrieval and maths anxiety. Guiding the reader in the interpretation of tests, this new edition shows how identifying the barriers to learning is the first step in a programme of intervention. Written in an engaging and user-friendly style, Steve Chinn draws on his extensive experience and expertise to: show how to consider and appraise the many factors relating to mathematical learning difficulties explain how these factors can be investigated explore their impact on learning mathematics. Emphasising the need for a clinical approach when assessing individuals, this book shows how diagnosis and assessment can become integrated into everyday teaching. This highly practical and relevant resource is a crucial resource for anyone who wants to accurately and effectively identify the depth and nature of mathematical learning difficulties and dyscalculia.
Multiple Perspectives on Mathematics Teaching and Learning by Jo Boaler Pdf
Multiple Perspectives on Mathematics Teaching and Learning offers a collection of chapters that take a new look at mathematics education. Leading authors, such as Deborah Ball, Paul Cobb, Jim Greeno, Stephen Lerman, and Michael Apple, draw from a range of perspectives in their analyses of mathematics teaching and learning. They address such practical problems as: the design of teaching and research that acknowledges the social nature of learning, maximizing the impact of teacher education programs, increasing the learning opportunities of students working in groups, and ameliorating the impact of male domination in mixed classrooms. These practical insights are combined with important advances in theory. Several of the authors address the nature of learning and teaching, including the ways in which theories and practices of mathematics education recognize learning as simultaneously social and individual. The issues addressed include teaching practices, equity, language, assessment, group work and the broader political context of mathematics reform. The contributors variously employ sociological, anthropological, psychological, sociocultural, political, and mathematical perspectives to produce powerful analyses of mathematics teaching and learning.
Teaching Adult Numeracy: Principles & Practice by Griffiths, Graham,Stone, Rachel Pdf
This book offers friendly guidance on how to work with adult learners to develop their numeracy and mathematics skills. It brings together current research and practice on teaching adult numeracy into one handy volume and covers the major issues faced by teachers of adult numeracy such as current policy perspectives and implications for teaching practice. There are reflective tasks throughout, which encourage you to develop and apply your theoretical knowledge to your own experiences. Key features include: Reviews of existing policy and research and implications for practice Reflective tasks with commentary, encouraging you to develop and apply your knowledge Case studies of real student experiences Practical activities and ideas to support the planning, teaching and assessment of adult numeracy Drawing on the substantial experience of the contributors, who have a wealth of experience as practitioners and researchers in the field, this book is an essential resource for trainee and practising teachers of adult numeracy and mathematics. It is also an ideal textbook to support teacher training courses leading to a subject specific qualification in teaching numeracy to adults. Contributors: Jackie Ashton, John Barton, Carolyn Brooks, Martyn Edwards, Janette Gibney, David Holloway, David Kaye, Beth Kelly, Barbara Newmarch, Helen Oughton, David Prinn, Diana Spurr, Rebecca Woolley "This is a quite unique book about teaching adult numeracy, which will be invaluable to the many practitioners in this field. The chapters, contributed by a group of experienced and successful lecturers and practitioners, include all aspects of this field, from methods of teaching specific mathematical topics to more general explorations of dyscalculia and emotional factors in adult learners. Each chapter includes research findings and thoughtful presentation of ideas with practical ideas for teaching, and tasks for the reader. This is a market which has not been served well in the past, so it is good to see the gap filled at last." Margaret Brown, Emeritus Professor of Mathematics Education, King's College London, UK "The editors of this book set out to produce a text that would support teacher-education programmes for adult numeracy, and their book does that and more. The content covers different types of learners, different settings, different understandings of what numeracy actually is; and ranges from commentary on research through case studies to "how to" hints and tips for teaching. Chapters 7 (on provoking mathematical thinking) and 8 (attitudes, beliefs and teaching) should be a required read for any adult numeracy teacher. The book would be at home on any numeracy teacher's desk, and would make an excellent set text for numeracy teacher training courses." Carol Randall, course co-ordinator for numeracy in the department of Lifelong Learning Teacher Education, University of Greenwich, UK "This book is a welcome addition to the growing literature on adult numeracy. It should be essential reading for trainee and practising adult numeracy educators. It brings together relevant research and professional wisdom on a wide variety of aspects of adult numeracy teaching and learning in an accessible way, with well-focussed tasks for readers to extend their knowledge and understanding. While the book is born out of UK concerns and issues, it is also relevant to international readers. Highly recommended." Professor Diana Coben PhD, Director, National Centre of Literacy & Numeracy for Adults, University of Waikato, New Zealand, and Hon. Trustee, Adults Learning Mathematics - A Research Forum (ALM -- www.alm-online.net/)
Debates in Mathematics Education by Gwen Ineson,Hilary Povey Pdf
This new and updated second edition of Debates in Mathematics Education explores the major issues that mathematics teachers encounter in their daily lives. By engaging with established and contemporary debates, this volume 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. Divided into five accessible sections, this book investigates and offers fresh insight into topics of central importance in mathematics education, with this second edition including new discussions and chapters on: Classic and contemporary issues of pedagogy, politics, philosophy and sociology of mathematics education International comparisons of achievement Digital technologies for teaching Mastery in mathematics Pop culture and mathematics Whether mathematics can be harmful Designed to stimulate discussion and support you in your own research, writing and practice through suggested questions and activities throughout, Debates in Mathematics Education will be a valuable resource for any student or practising teacher, and those engaged in initial teacher education, continuing professional development or Master's level study. This book also has much to offer to those leading mathematics departments in schools and initial teacher education programmes, and to beginning doctoral students looking for a survey of the field of mathematics education research.
