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EBOOK: Assessing Children's Mathematical Knowledge

EBOOK: Assessing Children's Mathematical Knowledge
Author: Barry Cooper
Publisher: McGraw-Hill Education (UK)
Total Pages: 236
Release: 1999-12-16
Genre: Education
ISBN: 0335231179

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'this work is highly relevant to the proliferation of accountability measures worldwide' James Scheurich and Douglas Foley In many countries, the lives of teachers and children are increasingly dominated by programmes of national testing of mathematics and other subjects. In England, the majority of the items in such tests have set mathematical tasks in every day situations such as 'shopping'. This requires children to make decisions about whether to use or not their own every day knowledge and experience in their problem-solving. Some children are likely to have a better 'feel for this game' than others. Assessing Children's Mathematical Knowledge draws on the analysis of national curriculum test data from more than 600 children of 10-11 and 13-14 years of age, as well as in-depth interviews with 250 of these as they attempt to solve test problems, in order to explore the nature of the difficulties children experience with 'realistic' items. The book shows, by comparing test and interview data, that many children, as a consequence of their confusion over the requirements of 'realistic' test items, fail in tests to demonstrate mathematical knowledge and understanding that they actually possess. The book also explores whether this problem of invalid measurement is equally spread across children from different social backgrounds, and across the sexes. The book will be of interest to academics and teachers studying for advanced degrees in mathematics education, sociology of education and educational assessment.


EBOOK: Raising Achievement in Secondary Mathematics

EBOOK: Raising Achievement in Secondary Mathematics
Author: Anne Watson
Publisher: McGraw-Hill Education (UK)
Total Pages: 203
Release: 2006-06-16
Genre: Education
ISBN: 0335228348

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This book brings together research and professional knowledge to enhance the teaching of lower attaining students in secondary mathematics. Attainment in mathematics is an important social issue, since underachievement can make a difference to future life choices, particularly amongst certain groups of students. Raising Achievement in Secondary Mathematics shows how well-meant teaching strategies and approaches can in practice exacerbate underachievement in maths by making inappropriate demands on learners. As well as criticizing some of the teaching and grouping practices that are considered normal in many schools, the book also offers an alternative view of attainment and capability, based on real classroom incidents in which ‘low attaining students’ show themselves to be able to think about mathematics in quite sophisticated ways. The author argues that teaching could be based on learners’ proficiency, rather than on correcting deficits in knowledge and behaviour. She describes how a group of teachers who believed that their students could do better with higher expectations developed a range of principles and strategies to support their work – the students showed significant progress and the teachers felt they were doing a better job. With numerous case studies, ideas and teaching strategies, this book is for anyone who is teaching, or learning to teach, mathematics.


EBOOK: Promoting Children's Learning from Birth to Five

EBOOK: Promoting Children's Learning from Birth to Five
Author: Angela Anning
Publisher: McGraw-Hill Education (UK)
Total Pages: 208
Release: 2006-03-16
Genre: Education
ISBN: 0335224040

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Reviews of the first edition “At a time of constant and rapid change in education, this book will inform and reassure early childhood professionals.” Practical Pre-School “Besides advice on the most helpful ways to develop learning in areas such as maths and literacy, there are suggestions and comments about further reading at the end of each chapter, and examples of the thoughts and responses of real children are never far from the page.” TES “Innovative, resourceful and thoroughly researched… a challenge to existing and emerging early childhood professionals.” Contemporary Issues in Early Childhood Promoting Children's Learning from Birth to Five supports early years professionals as they develop new practices to promote young children’s learning. This second edition fully reflects the enormous changes in early childhood education and care since the publication of the first edition. Retaining its successful focus on literacy and mathematical development as key exemplars of promoting young children's learning, the book considers new ways of working with parents, promoting inter-professional collaboration, and achieving sustainable, systematic change in children's services. The second edition: Draws on current research in early literacy and mathematical thinking Focuses on multiprofessional practice, showing how practitioners who work from evidence across professional boundaries are able to give strong, interactive and sensitive support to young children and their parents Takes into account policies and practices such as Every Child Matters, the Primary Strategy and Children's Centres Includes updated material on aspects of leadership, and on the role of the Senior Practitioner in developing innovative services for children and their families Explores the importance of personal, social and emotional development in the curriculum for under-fives Working from the basis that children learn most readily in contexts where parents and professionals are keen to learn, the authors help early childhood professionals to meet the challenges of reshaping children's services. This is key reading for all early childhood professionals and students.


Special Educational Needs, Inclusion and Diversity

Special Educational Needs, Inclusion and Diversity
Author: Norah Frederickson
Publisher: McGraw-Hill Education (UK)
Total Pages: 730
Release: 2015-12-16
Genre: Education
ISBN: 0335262910

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Special Educational Needs, Inclusion and Diversity 3E has established itself as the textbook on special educational needs (SEN). The new edition of this popular textbook retains its comprehensive, insightful and accessible approach and reflects the latest changes in policy and legislation. It provides a stimulating balance between theory, research and practice as well as a unique analysis of the implications for SEN of linguistic, cultural and ethnic diversity. Recognizing the complex and difficult nature of many special educational needs, the authors place a firm emphasis on inclusion and suggest practical strategies enabling professionals to maximise inclusion while at the same time recognizing and supporting diversity. Key features of the third edition include: • The increasingly diverse SEN approaches and legislation across England, Wales, Scotland and Ireland, within an international context • Provision and arrangements for 16-25 year olds • Identification, assessment and intervention strategies for SEN from the early years • Responding to the diversity of social, emotional and mental health needs within the context of behaviour and discipline in schools Special Educational Needs, Inclusion and Diversity 3E is the definitive handbook that supports teachers, educational psychologists, SENCOs, SEN specialist teachers and other professionals in working with children who have SEN in an increasingly diverse society.


Assessing Mathematical Proficiency

Assessing Mathematical Proficiency
Author: Alan H. Schoenfeld
Publisher: Cambridge University Press
Total Pages: 412
Release: 2007-05-21
Genre: Mathematics
ISBN: 9780521697668

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Testing matters! It can determine kids' and schools' futures. In a conference at the Mathematical Sciences Research Institute, mathematicians, math education researchers, teachers, test developers, and policymakers gathered to work through critical issues related to mathematics assessment. This volume presents the results of the discussions. It highlights the kinds of information that different assessments can offer, including many examples of some of the best mathematics assessments worldwide. A special feature is an interview with a student about his knowledge of fractions and a demonstration of what interviews (versus standardized tests) can reveal.


Writing Mathematically

Writing Mathematically
Author: Candia Morgan
Publisher: Routledge
Total Pages: 252
Release: 2002-01-04
Genre: Education
ISBN: 113570953X

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School mathematics curricula internationally tend to emphasise problem-solving and have led to the development of opportunities for children to do maths in a more open, creative way. This has led to increased interest in 'performance-based' assessment, which involves children in substantial production of written language to serve as 'evidence' of their mathematical activity and achievement. However, this raises two important questions. Firstly, does this writing accurately present children's mathematical activity and ability? Secondly, do maths teachers have sufficient linguistic awareness to support their students in developing skills and knowledge necessary for writing effectively in their subject area? The author of this book takes a critical perspective on these questions and, through an investigation of teachers' readings and evaluations of coursework texts, identifies the crucial issues affecting the accurate assessment of school mathematics.


Learning and Teaching Mathematics 0-8

Learning and Teaching Mathematics 0-8
Author: Helen Taylor
Publisher: SAGE
Total Pages: 281
Release: 2013-11-14
Genre: Education
ISBN: 1446296415

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′What a super book! It is absolutely packed with practical ideas and activities to help you love maths, and love teaching and/or learning it. It certainly helps to develop an enthusiasm for a subject most adults tend to say "I′m no good at..."′ - Early Years Educator ‘A wonderful book, packed with practical ideas and activities to help all students love maths.’ - Jo Boaler, Professor of Mathematics Education, Stanford University Fostering an enthusiasm for mathematics in young children is a vital part of supporting their mathematical development. Underpinned by subject and pedagogical knowledge, case studies and research-based perspectives, the authors provide clear guidance on how to support young children′s learning and understanding in an effective and engaging way. Contemporary approaches to developing essential mathematical learning for young children are explored, including: play, practical activities and talk for mathematics outdoor learning understanding pattern counting, calculation and place value measures and shape problem solving and representing mathematics assessment working with parents. Written for both trainees and practitioners working with children aged 0 to 8 years, including those studying for Early Years and Early Childhood degrees and those on Primary PGCE and Primary Education courses, this book offers mathematical subject knowledge and teaching ideas in one volume. Helen Taylor is Course Leader of PGCE Primary Part-time Mathematics at Canterbury Christ Church University. Andrew Harris is Course Leader of PGCE Modular Mathematics at Canterbury Christ Church University.


Mathematical Knowledge and Skills

Mathematical Knowledge and Skills
Author: National Assessment of Educational Progress
Publisher:
Total Pages: 72
Release: 1979
Genre: Grading and marking (Students)
ISBN:

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Teaching and Learning Early Number

Teaching and Learning Early Number
Author: Ian Thompson
Publisher: McGraw-Hill Education (UK)
Total Pages: 252
Release: 2008-10-16
Genre: Education
ISBN: 0335236960

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"This richly varied text offers generous support for every aspect of the teacher's role, while constantly reminding us that mathematical activity is not a de-contextualised skill that children possess, but part of their identity, their way of being in the world, engaged with the world, energetically - and playfully - trying to make sense of it." Mary Jane Drummond, formerly of the Faculty of Education, University of Cambridge, UK Teaching and Learning Early Number is a bestselling guide for all trainee and practising Early Years teachers and classroom assistants. It provides an accessible guide to a wide range of research evidence about the teaching and learning of early number. Major changes in the primary mathematics curriculum over the last decade - such as the National Numeracy Strategy, the Primary National Strategy, the Early Years Foundation Stage and the Williams Review - have greatly influenced the structure of this new edition. The book includes: A new introductory chapter to set the scene Six further new chapters - including Mathematics through play, Children's mathematical graphics and Interview-based assessment of early number knowledge Six completely re-written chapters and two updated chapters A new concluding chapter looking to the future The chapters can be read in a standalone fashion and many are cross referenced to other parts of the book where specific ideas are dealt with in a different manner. Issues addressed include: new research on the complex process of counting and on children's written mathematical marks; counting in the home environment and play in the school setting; the importance of mathematical representations and of ICT in children's understanding of number; errors and misconceptions and the assessment of children’s number knowledge.


EBOOK: ICT AND PRIMARY MATHEMATICS

EBOOK: ICT AND PRIMARY MATHEMATICS
Author: Jenni Way
Publisher: McGraw-Hill Education (UK)
Total Pages: 183
Release: 2003-08-16
Genre: Education
ISBN: 0335228356

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Current digital technologies have the potential to enhance primary children's mathematical learning. Calculators and computers can be used as tools in mathematics to perform routine processes or to explore mathematical ideas. Graphic and programmable calculators, and computers with open-ended software can also immerse children in exciting, creative and productive learning environments. The internet allows children to venture into the enormous world of mathematics beyond the classroom. This book provides teachers with insights into how other teachers and researchers have discovered ways to create powerful learning experiences for children. Each chapter helps the reader to understand why certain teaching approaches with technology are more effective than others, as well as providing many practical ideas for activities and projects for children with various ability levels and learning styles.