A Practical Guide to Transforming Primary Mathematics

Author: Mike Askew
Publisher: Routledge
ISBN: 131781326X
Format: PDF, ePub, Mobi
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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.

Transforming Primary Mathematics

Author: Mike Askew
Publisher: Routledge
ISBN: 1317357566
Format: PDF, ePub, Mobi
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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.

Teaching Secondary School Mathematics

Author: Merrilyn Goos
Publisher: Allen & Unwin
ISBN: 1741156130
Format: PDF, ePub
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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

Primary Professional Studies

Author: Alice Hansen
Publisher: Learning Matters
ISBN: 1473926890
Format: PDF, ePub, Mobi
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Primary teacher training is challenging. Trainees must be prepared to consider teaching in innovative ways, while remaining focussed on the unchanging requirements of children’s learning. The third edition of this popular core book supports trainee teachers working towards primary QTS taking account of the diverse aspects of primary professional studies. Mapped to the Teachers' Standards and the new National Curriculum, this text designed specifically for the primary professional studies module. It begins with an exploration of the curriculum reviewing recent changes together with the new National Curriculum as well as taking a wider view of curriculum design and delivery. The text moves on to look at 'The Developing Child' encouraging students to home in on child-centred teaching and learning and explores the needs and learning journeys of all children. 'The Developing Teacher' section outlines and highlights the professional role of the teacher and helps trainees to consider the kind of teachers they want to be. Finally, the text covers essential 'Teaching Skills', offering trainees friendly and accessible advice on planning, assessments and behaviour management. Exploring key issues in current teaching and learning such as inclusion, safeguarding and the wider school community explore, this third edition also includes new chapters on children's learning in the early years and children's voice enhancing the text's child-centred focus. Also included is a completely new chapter on managing your teaching environment to help trainees consider the small things about everyday teaching that can really make a difference in the classroom. A comprehensive guide offering in-depth coverage of all aspects of teaching and learning, together with practical teaching suggestions.

Mathematics as a Constructive Activity

Author: Anne Watson
Publisher: Routledge
ISBN: 1135630011
Format: PDF, Kindle
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This book explains and demonstrates the teaching strategy of asking learners to construct their own examples of mathematical objects. The authors show that the creation of examples can involve transforming and reorganizing knowledge and that, although this is usually done by authors and teachers, if the responsibility for making examples is transferred to learners, their knowledge structures can be developed and extended. A multitude of examples to illustrate this is provided, spanning primary, secondary, and college levels. Readers are invited to learn from their own past experience augmented by tasks provided in the book, and are given direct experience of constructing examples through a collection of many tasks at many levels. Classroom stories show the practicalities of introducing such shifts in mathematics education. The authors examine how their approach relates to improving the learning of mathematics and raise future research questions. *Based on the authors' and others' theoretical and practical experience, the book includes a combination of exercises for the reader, practical applications for teaching, and solid scholarly grounding. *The ideas presented are generic in nature and thus applicable across every phase of mathematics teaching and learning. *Although the teaching methods offered are ones that engage learners imaginatively, these are also applied to traditional approaches to mathematics education; all tasks offered in the book are within conventional mathematics curriculum content. Mathematics as a Constructive Activity: Learners Generating Examples is intended for mathematics teacher educators, mathematics teachers, curriculum developers, task and test designers, and classroom researchers, and for use as a text in graduate-level mathematics education courses.