Transforming Primary Mathematics

Understanding classroom tasks, tools and talk

Author: Mike Askew

Publisher: Routledge

ISBN: 1317357558

Category: Education

Page: 184

View: 718

Fully updated to reflect the new curriculum, the revised edition of Transforming Primary Mathematics sets out key theories and cutting-edge research in the field to enable teachers to take a fresh look at how they teach mathematics. The book encourages teachers to reflect on their own beliefs and values about mathematics, and asks them to question whether their current methods meet the needs of all learners, and the challenge of having high expectations for all. It provides clear, practical approaches to help implement fundamental change in classroom environments, and offers motivational teaching styles to ensure meaningful mathematics learning. Chapters take an inspiring, sometimes controversial, and often unconventional look at the subject of mathematics, by: endorsing the use of a ‘new mathematics’ – one based on problem solving, modelling, inquiry and reasoning, not on abstract rules, memorising, and regurgitation arguing that there is more to maths teaching than ‘death by a thousand worksheets’ challenging norms, such as the practice of sorting children into sets based on their perceived mathematical ability asking whether mathematical ability is innate or a result of social practices examining what a ‘mastery’ approach might entail highlighting the role of variation in supporting learning advocating an environment where teachers are encouraged to take risks. Transforming Primary Mathematics is for all primary school teachers who want to make mathematics welcoming, engaging, inclusive and successful.
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A Practical Guide to Transforming Primary Mathematics

Activities and tasks that really work

Author: Mike Askew

Publisher: Routledge

ISBN: 131781326X

Category: Education

Page: 178

View: 6040

A Practical Guide to Transforming Primary Mathematics offers inspiration and ideas for all training and practising teachers committed to making mathematics enjoyable, inclusive, engaging and successful. The companion to Mike Askew’s bestselling book, Transforming Primary Mathematics, this practical guide focuses on showing you how to unlock the powerful potential of a small set of consistent principles and practices, known as the teaching tripod, to develop a coherent approach to teaching mathematics. Organised around the major strands of the curriculum - number, calculations, shape and space, measures, and data handling – it offers an accessible introduction to the teaching tripod, a careful choice of tasks, supported by a range of tools that extend our natural abilities and held together by careful attention to classroom talk. A range of classroom tasks, each including key learning outcomes, clear links to the framework, links to relevant research, and suggestions for making the tasks easier or harder, are offered for every topic, helping you plan units of work for meaningful learning. A Practical Guide to Transforming Primary Mathematics offers all teachers a vision, rationale and ideas for how teaching can support better learning of mathematics but also encourage learners to see themselves as being capable of learning mathematics, and wanting to learn it.
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Primary Mathematics Across the Curriculum

Author: Alice Hansen,Diane Vaukins

Publisher: Learning Matters

ISBN: 0857259687

Category: Education

Page: 200

View: 6585

This book supports trainee teachers working towards primary QTS in teaching primary mathematics across all areas of the curriculum. This Second Edition is linked to the 2012 Teachers' Standards. Focused on teaching a more integrated and inclusive curriculum, the text draws out meaningful cross curricular links and embraces the latest thinking and current good practice in mathematics teaching. It begins with a section on teaching mathematics, covering all strands of the curriculum, and goes on to offer guidance on the use and application of mathematics more generally across subjects. A chapter on using mathematics to enahnce learning highlights the importance of being able to use mathematics effectively in other aspects of the teacher's role. Interactive activities and case studies link theory to practice and encourage the reader to rethink how mathematics is taught in primary schools. About the Transforming Primary QTS series This series reflects the new creative way schools are begining to teach, taking a fresh approach to supporting trainees as they work towards primary QTS. Titles provide fully up to date resources focused on teaching a more integrated and inclusive curriculum, and texts draw out meaningful and explicit cross curricular links.
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Learning and Teaching Mathematics 0-8

Author: Helen Taylor,Andrew Harris

Publisher: SAGE

ISBN: 1446293092

Category: Education

Page: 280

View: 3802

'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.
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Valuing Assessment in Science Education: Pedagogy, Curriculum, Policy

Author: Deborah Corrigan,Richard Gunstone,Alister Jones

Publisher: Springer Science & Business Media

ISBN: 9400766688

Category: Science

Page: 376

View: 7443

Assessment is a fundamental issue in research in science education, in curriculum development and implementation in science education as well as in science teaching and learning. This book takes a broad and deep view of research involving assessment in science education, across contexts and cultures (from whole countries to individual classrooms) and across forms and purposes (from assessment in the service of student learning to policy implications of system wide assessment). It examines the relationships between assessment, measurement and evaluation; explores assessment philosophies and practices in relation to curriculum and scientific literacy/learning; and details the relationships between assessment and science education policy. The third in a series, Valuing Assessment in Science Education has chapters from a range of international scholars from across the globe and staff from Monash University, King’s College London and University of Waikato. The two previous books in the series examined research relevant to the re-emergence of values in science education and teaching across the spectrum of science education as well as across cultural contexts through the professional knowledge of science teaching. This third book now moves to examine different aspects of generating understanding about what science is learnt, how it is learnt, and how it is valued. Valuing Assessment in Science Education will appeal to all those with some engagement with and/or use of research in science education, including research students, academics, curriculum development agencies, assessment authorities, and policy makers. It will also be of interest to all classroom science teachers who seek to keep abreast of the latest research and development and thinking in their area of professional concern.
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Primary Mathematics for Trainee Teachers

Author: Marcus Witt

Publisher: Learning Matters

ISBN: 1473908299

Category: Education

Page: 304

View: 8078

With chapter sequencing following the new Curriculum, this book supports trainee Primary school teachers to make use of the opportunities presented in the new National Curriculum for effective and engaging Mathematics teaching. Covering all of the areas of the new Curriculum for primary mathematics and offering insight into effective teaching, this book helps students connect what they need to teach with how it can be taught. Exploring opportunities in the new curriculum for creative and imaginative teaching, it shows readers how to capitalize on opportunities to develop children's reasoning and problem solving skills. It explores how to make links between mathematics and children's lived experiences to enhance their learning and enables trainees to develop an ability to plan with discernment, making the most of existing thinking and research as well as building confidence in adapting and customizing ideas. Includes the full National Curriculum Programme of Study for Maths, key stages 1 and 2 as a useful reference for trainee teachers. Other books in this series include: Primary Science for Trainee Teachers and Primary English for Trainee Teachers
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Mathematics: All That Matters

Author: Mike Askew

Publisher: Hachette UK

ISBN: 1473601754

Category: Mathematics

Page: 160

View: 4162

Mathematics often gets a bad press. Describing someone as 'calculating' or 'rational' is hardly as flattering as being labelled 'artistic' or 'creative' and mathematicians in movies or novels are often portrayed as social misfits who rarely get the guy or girl. No wonder some folks say 'oh I don't care for mathematics, I was never any good at it' with a wistful sense of pride. Yet professional mathematicians talk of the subject differently. They look for elegant solutions to problems, revel in playing around with mathematical ideas and talk of the creative nature of mathematics. As the Russian mathematician Sophia Kovalevskaya said "It is impossible to be a mathematician without being a poet in soul." So why is there such a gap between the views of everyday folks and professional mathematicians? Part of the problem lies in how most of us were taught mathematics in school. The mathematics served up there is presented as a series of de-contextualised, abstract ideas, wrested from the human struggles and interactions that gave birth to the ideas. Through looking at some of the history of mathematics, psychological studies into how we come to know mathematics and key ideas in mathematics itself, the intent of this book is, if not to make the reader fall in love with mathematics, then at least to come to understand its nature a little better, and perhaps care a little more for it. In short, this book explores the human side of maths.
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Kochen

Eine Naturgeschichte der Transformation

Author: Michael Pollan

Publisher: Antje Kunstmann

ISBN: 3888979897

Category: Cooking

Page: 524

View: 9625

Wie kommen wir in unserem täglichen Leben zu einem tieferen Verständnis der Natur und der besonderen Rolle unserer Spezies darin? Am besten geht man dazu einfach in die Küche, meint Michael Pollan. Und das tut er in seinem neuen, aufregenden Buch "Kochen" und vermisst das Terrain der Küche auf ungewohnte Weise. Pollan beschäftigt sich mit den vier klassischen Elementen – Feuer, Wasser, Luft und Erde –, die das, was die Natur uns liefert, in köstliches Essen und Trinken verwandeln, und geht selbst noch einmal in die Lehre: Bei einem Barbecue-Meister lernt er die Magie des Feuers kennen; ein Chez-Panisse-Koch weist ihn in die Kunst des Schmorens ein; ein Bäcker bringt ihm bei, wie Mehl und Wasser durch Luft in duftendes Brot verwandelt werden; und die 'Fermentos', eine Gruppe verrückter Genies, zu denen ein Brauer und ein Käser gehören, zeigen ihm, wie Pilze und Bakterien eine erstaunliche Alchemie zustande bringen. In all diesen Verwandlungsprozessen nehmen die Köche eine besondere Position ein: die zwischen Natur und Kultur. Mit Pollan lernen auch die Leser, wie uns das Kochen verbindet:?mit Pflanzen und Tieren, mit der Erde und den Bauern, unserer Geschichte und Kultur und natürlich mit den Menschen, mit denen und für die wir kochen. Wenn wir die Freude am Kochen zurückgewinnen, das ist das Fazit dieses wunderbaren Buchs, öffnet sich die Tür zu einem reicheren Leben.
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Developing Primary Mathematics Teaching

Reflecting on Practice with the Knowledge Quartet

Author: Tim Rowland,Fay Turner,Anne Thwaites,Peter Huckstep

Publisher: SAGE

ISBN: 1446207315

Category: Education

Page: 256

View: 8403

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.
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The supply and training of teachers of mathematics

A report prepared [for the Mathematical Association]

Author: Mathematical Association,Association of Teachers in Colleges and Departments of Education

Publisher: N.A

ISBN: N.A

Category: Education

Page: 46

View: 3649

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Die Macht der Gewohnheit: Warum wir tun, was wir tun

Author: Charles Duhigg

Publisher: ebook Berlin Verlag

ISBN: 3827070740

Category: History

Page: 416

View: 1575

Seit kurzem versuchen Hirnforscher, Verhaltenspsychologen und Soziologen gemeinsam neue Antworten auf eine uralte Frage zu finden: Warum tun wir eigentlich, was wir tun? Was genau prägt unsere Gewohnheiten? Anhand zahlreicher Beispiele aus der Forschung wie dem Alltag erzählt Charles Duhigg von der Macht der Routine und kommt dem Mechanismus, aber auch den dunklen Seiten der Gewohnheit auf die Spur. Er erklärt, warum einige Menschen es schaffen, über Nacht mit dem Rauchen aufzuhören (und andere nicht), weshalb das Geheimnis sportlicher Höchstleistung in antrainierten Automatismen liegt und wie sich die Anonymen Alkoholiker die Macht der Gewohnheit zunutze machen. Nicht zuletzt schildert er, wie Konzerne Millionen ausgeben, um unsere Angewohnheiten für ihre Zwecke zu manipulieren. Am Ende wird eines klar: Die Macht von Gewohnheiten prägt unser Leben weit mehr, als wir es ahnen.
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Children's Errors in Mathematics

Author: Alice Hansen,Doreen Drews,John Dudgeon,Fiona Lawton,Liz Surtees

Publisher: Learning Matters

ISBN: 1526422824

Category: Education

Page: 272

View: 4867

Now with 50 new misconceptions, this practical guide helps teachers and trainees tackle potential errors whilst enhancing their understanding of the difficulties encountered in mathematical development.
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Transforming Undergraduate Education in Science, Mathematics, Engineering, and Technology

Author: Committee on Undergraduate Science Education,Board on Science Education,Division of Behavioral and Social Sciences and Education,National Research Council

Publisher: National Academies Press

ISBN: 0309592585

Category: Education

Page: 102

View: 300

Today's undergraduate students--future leaders, policymakers, teachers, and citizens, as well as scientists and engineers--will need to make important decisions based on their understanding of scientific and technological concepts. However, many undergraduates in the United States do not study science, mathematics, engineering, or technology (SME&T) for more than one year, if at all. Additionally, many of the SME&T courses that students take are focused on one discipline and often do not give students an understanding about how disciplines are interconnected or relevant to students' lives and society. To address these issues, the National Research Council convened a series of symposia and forums of representatives from SME&T educational and industrial communities. Those discussions contributed to this book, which provides six vision statements and recommendations for how to improve SME&T education for all undergraduates. The book addresses pre-college preparation for students in SME&T and the joint roles and responsibilities of faculty and administrators in arts and sciences and in schools of education to better educate teachers of K-12 mathematics, science, and technology. It suggests how colleges can improve and evaluate lower-division undergraduate courses for all students, strengthen institutional infrastructures to encourage quality teaching, and better prepare graduate students who will become future SME&T faculty.
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Transforming Children's Mathematics Education

International Perspectives

Author: Leslie P. Steffe,Terry Wood

Publisher: Routledge

ISBN: 1136468773

Category: Education

Page: 512

View: 4184

Eminent scholars from around the globe gathered to discuss how educational systems would change if the prevailing principles of constructivism were applied to three major aspects of those systems -- knowledge and learning, communication, and environment. This volume provides documentation of the proceedings of this important meeting - - the Early Childhood Action Group of the Sixth International Congress on Mathematics Education. This international assembly, representing such diverse disciplines as mathematics and math education, epistemology, philosophy, cognitive science, psycholinguistics, and science education, is the first to examine early childhood mathematics education from constructivist and international perspectives in addition to formulating recommendations for future work in the field.
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Primary Professional Studies

Author: Alice Hansen

Publisher: Learning Matters

ISBN: 1526448750

Category: Education

Page: 408

View: 1019

Primary teacher training is challenging. Trainees must be prepared to consider teaching in innovative ways, while remaining focused on the unchanging requirements of children’s learning. The fourth edition of this popular core book supports trainee teachers working towards primary QTS who need to take account of the diverse aspects of primary professional studies. This is a comprehensive, core text for the primary professional studies module. It begins with an exploration of the curriculum and reviews the current curriculum. The text moves on to look at 'The Developing Child' encouraging students to focus on child-centred teaching and learning and explores the needs and learning journeys of all children. The fourth edition includes new chapters on technology and learning, mindfulness in the classroom, reflective practice and completing research and writing assignments for primary teacher training.
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Teaching Arithmetic in Primary Schools

Audit and Test

Author: Richard English

Publisher: Learning Matters

ISBN: 0857257277

Category: Education

Page: 160

View: 8141

There is a new and increasing emphasis on the importance of teaching arithmetical skills in primary schools. This text outlines what is meant by arithmetic and enables trainee teachers to build their own confidence in teaching arithmetic. It covers all aspects of arithmetic including recall of number facts and traditional pen and paper methods. Each arithmetical approach is illustrated with detailed examples and readers can access their own learning in each area. Guidance on when and where to use different approaches to enhance children's learning is included and interactive activities highlight essential links between theory and practice. Abouth the Transforming Primary QTS series This series reflects the new creative way schools are begining to teach, taking a fresh approach to supporting trainees as they work towards primary QTS. Titles provide fully up to date resources focused on teaching a more integrated and inclusive curriculum, and texts to draw out meaningful and explicit cross curricular links.
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Transforming Teaching in Math and Science

How Schools and Districts Can Support Change

Author: Adam Gamoran

Publisher: Teachers College Press

ISBN: 9780807743096

Category: Education

Page: 222

View: 955

Teachers often want to learn new ideas and approaches to improve their teaching, but their efforts are often blocked by structural constraints in their districts and schools. How can schools overcome these barriers to provide more supportive environments for change? The authors answer this question through the study of six cases of schools and districts where teachers and researchers collaborated to develop teaching for understanding in math and science. This new book features: a new conceptual model of how school resources relate to teaching and learning, focusing not only on material resources such as time and money but also on human and social resources; methods that administrators can use to support teachers who want to improve their teaching of math and science; elements that professional developers should look for in a school environment when they are considering working with staff on teaching improvements; and answers to important questions, including how schools operate as organizations, how they control work, how they respond to changes in their environment, and how they improve classroom teaching and learning.
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Johannesburg

Insel aus Zufall

Author: Ivan Vladislavić,Thomas Brückner

Publisher: N.A

ISBN: 9783866158023

Category:

Page: 236

View: 8537

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