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Author: Martin Hughes
Publisher: McGraw-Hill Education (UK)
ISBN: 033523187X
Category : Education
Languages : en
Pages : 136
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Book Description
One of the fundamental problems in education is that of applying skills and knowledge which learners have gained in one context to problems they encounter in another. This is particularly so in mathematics, where the problems encountered by learners in applying mathematical knowledge are well documented. Using and applying mathematics has been a central component of the National Curriculum in mathematics. However, the National Numeracy Strategy has adopted a new approach, in which 'using and applying' is integrated throughout the mathematics curriculum. This book aims to help teachers develop their understanding and practice in this crucial area. It is based on the findings of a major research study, funded by the Nuffield Foundation, in which a group of primary teachers worked closely with the research team to develop their thinking and practice. The book provides a clear conceptual analysis of the problem of application, together with extensive examples of ways in which teachers can address it in their classrooms at Key Stages 1 and 2. A novel feature of the book is that it includes first-hand accounts of practice in Japanese classrooms, and outlines what teachers in the UK and elsewhere may learn from Japanese methods.
Author: Martin Hughes
Publisher: McGraw-Hill Education (UK)
ISBN: 033523187X
Category : Education
Languages : en
Pages : 136
Get Book Here
Book Description
One of the fundamental problems in education is that of applying skills and knowledge which learners have gained in one context to problems they encounter in another. This is particularly so in mathematics, where the problems encountered by learners in applying mathematical knowledge are well documented. Using and applying mathematics has been a central component of the National Curriculum in mathematics. However, the National Numeracy Strategy has adopted a new approach, in which 'using and applying' is integrated throughout the mathematics curriculum. This book aims to help teachers develop their understanding and practice in this crucial area. It is based on the findings of a major research study, funded by the Nuffield Foundation, in which a group of primary teachers worked closely with the research team to develop their thinking and practice. The book provides a clear conceptual analysis of the problem of application, together with extensive examples of ways in which teachers can address it in their classrooms at Key Stages 1 and 2. A novel feature of the book is that it includes first-hand accounts of practice in Japanese classrooms, and outlines what teachers in the UK and elsewhere may learn from Japanese methods.
Author: Kalid Azad
Publisher:
ISBN: 9781519711540
Category :
Languages : en
Pages : 98
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Book Description
Math, Better Explained is an intuitive guide to the math fundamentals. Learn math the way your teachers always wanted.
Author: Maura Sellars
Publisher: Springer
ISBN: 9811057362
Category : Education
Languages : en
Pages : 451
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Book Description
This book is based on the notion that there are many ways in which mathematics learning can be achieved for students and that not all of them are focused on the mathematics classroom. It explores the foundational numeracy principles of the non-mathematical subject areas and aligns these to the Australian numeracy-learning continuum. It demonstrates, in detail, the extent to which numeracy competencies underpin successful learning in all the subject areas of the curricula. It validates a focus of developing numeracy competencies through learning in the arts, science and other discipline areas with which school students to engage with in order develop holistically, but which are not subjected to national assessment practices. It is developed around the notion of ‘praxis’, putting theory into practice in order to respond to the urgent need for students to be supported in their efforts to increase their numeracy capabilities in a world where extensive amounts of new information are often presented in graphical or data based formats. Additionally, it offers perspectives on developing all students’ capacities to become numerate in school contexts and presents inclusive, differentiated lesson examples as an alternative way of exploring numeracy in the context of teaching and learning in real-world classroom contexts.
Author: Rayens
Publisher:
ISBN: 9781617408144
Category :
Languages : en
Pages :
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Book Description
Author: Peter S. Westwood
Publisher: Aust Council for Ed Research
ISBN: 0864319045
Category : Education
Languages : en
Pages : 114
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Book Description
There is an increasing need for numeracy skills in all aspects of life. This book explores the issues that are emerging regarding the teaching of these skills, beginning with preschool and the early years of primary school through to adults with poor numeracy skills. It draws on research and relevant literature from several different countries to provide a comprehensive overview of the subject and contains many links to other sources of information and additional resources.
Author: Beth McCord Kobett
Publisher: Corwin
ISBN: 1544374909
Category : Education
Languages : en
Pages : 273
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Book Description
"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.
Author: Ian McNay
Publisher: McGraw-Hill Education (UK)
ISBN: 0335226477
Category : Education
Languages : en
Pages : 254
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Book Description
What are the key elements of mass higher education? How does mass higher education affect students and staff? What are the policy, pedagogic and management issues that need to be addressed? More is now expected of higher education provision. It has to meet demands for expansion, excellence, diversity and equity in access and assessment, teaching and research, as well as entrepreneurial engagement with the world outside. Thirty years ago, Martin Trow wrote of higher education systems moving from elite provision through a mass system to universal levels of access. The UK is now approaching such universal levels; Scotland has already reached them. It is nearly fifteen years since Trow's mass threshold was reached. Despite being on the brink of universal provision, there is still no clear picture of what a mass system should look like. This collection looks forward to the next decade of higher education, and identifies strategic issues that need to be tackled at institutional and management levels. It considers how far the higher education system has adapted to respond to the requirements of a mass and universal system, rather than struggling to sustain an elite system with mass participation. Beyond Mass Higher Education is key reading for those leading and managing universities and colleges, as well as higher education researchers and policy makers. Contributors: John Brennan, Centre for HE Research and Information; Grainne Conole, University of Southampton; Stephen Court, AUT; Jim Gallacher, Glasgow Caledonian University; Peter Knight, The Open University; Carole Leathwood, London Metropolitan University; Brenda Little, Open University; Lisa Lucas, University of Bristol; Ian McNay, University of Greenwich; Robin Middlehurst, University of Surrey; Bob Osborne, University of Ulster; Richard Pearson, Institute for Employment Studies; Wendy Saunderson, University of Ulster; Michael Shattock, Institute of Education, London; Celia Whitchurch, King's College London; Mantz Yorke, Liverpool John Moores University.
Author: Sue Gascoyne
Publisher: McGraw-Hill Education (UK)
ISBN: 0335246451
Category : Education
Languages : en
Pages : 202
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Book Description
"This accomplished book represents an impressive and important extension of previous writing in the field and is sure to expand practitioners’ understanding of the fascinating medium that is the treasure basket." Janet Moyles, Professor Emeritus, Anglia Ruskin University, UK Watching a child play with a Treasure Basket can give a powerful insight into the wonder of children’s minds; their developmental levels, interests, likes and dislikes; repeated patterns of behaviour; and even glimpses of a child’s personality. This book draws extensively upon observations of children’s play as well as contemporary and original research in neuroscience and sensory play, to offer fresh insights into the use and benefits of Treasure Baskets and sensory-rich play. The book demonstrates how babies through to primary school children, including those with special educational needs, can derive rich and meaningful hands-on learning from sensory-rich objects and the wider application of sensory play. Key features of the book: Discovering how sensory play presents opportunities for problem solving and meaning making as well as developing creativity and imagination Understanding the benefits and potential of sensory-rich play and its powerful effect upon brain development and memory Learning about the role of the adult in supporting and maximising sensory-rich play Gaining insights from a range of case studies and activities If you have already witnessed deeply absorbing Treasure Basket play in action and marvelled at children’s fascination and focus, then this book helps explain something of the ‘behind the scenes’ processes in action. For those who have not yet encountered this deceptively complex play, this book whets the appetite, giving a taste of what Treasure Baskets and sensory-rich play have to offer. This timely and empowering book is written for practitioners and students working with babies through to primary-aged children.
Author: Graham Griffiths
Publisher: McGraw-Hill Education (UK)
ISBN: 0335246834
Category : Education
Languages : en
Pages : 329
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Book Description
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/)
Author: Avi Wigderson
Publisher: Princeton University Press
ISBN: 0691189137
Category : Computers
Languages : en
Pages : 434
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Book Description
From the winner of the Turing Award and the Abel Prize, an introduction to computational complexity theory, its connections and interactions with mathematics, and its central role in the natural and social sciences, technology, and philosophy Mathematics and Computation provides a broad, conceptual overview of computational complexity theory—the mathematical study of efficient computation. With important practical applications to computer science and industry, computational complexity theory has evolved into a highly interdisciplinary field, with strong links to most mathematical areas and to a growing number of scientific endeavors. Avi Wigderson takes a sweeping survey of complexity theory, emphasizing the field’s insights and challenges. He explains the ideas and motivations leading to key models, notions, and results. In particular, he looks at algorithms and complexity, computations and proofs, randomness and interaction, quantum and arithmetic computation, and cryptography and learning, all as parts of a cohesive whole with numerous cross-influences. Wigderson illustrates the immense breadth of the field, its beauty and richness, and its diverse and growing interactions with other areas of mathematics. He ends with a comprehensive look at the theory of computation, its methodology and aspirations, and the unique and fundamental ways in which it has shaped and will further shape science, technology, and society. For further reading, an extensive bibliography is provided for all topics covered. Mathematics and Computation is useful for undergraduate and graduate students in mathematics, computer science, and related fields, as well as researchers and teachers in these fields. Many parts require little background, and serve as an invitation to newcomers seeking an introduction to the theory of computation. Comprehensive coverage of computational complexity theory, and beyond High-level, intuitive exposition, which brings conceptual clarity to this central and dynamic scientific discipline Historical accounts of the evolution and motivations of central concepts and models A broad view of the theory of computation's influence on science, technology, and society Extensive bibliography
