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Supporting Mathematical Thinking With Anne Watson
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Book Synopsis Supporting Mathematical Thinking by : Anne Watson
Download or read book Supporting Mathematical Thinking written by Anne Watson and published by Routledge. This book was released on 2012-09-10 with total page 219 pages. Available in PDF, EPUB and Kindle. Book excerpt: To what extent do curriculum subjects, particularly highly abstract ones such as Mathematics, have their own unique special needs? This book celebrates the work done by subject specialists in mainstream classrooms to promote inclusive practice. It describes new and creative ways of developing mathematical thinking among pupils. Each chapter demonstrates reflective minds at work, close observation of learners, willingness to understand the students’ thinking process and patient commitment to students over long periods of time. Features of the book include: how low-attaining students can think mathematically numeracy recovery task refusal in primary mathematics progression in written calculation strategies for division using graphic calculators with low-attaining pupils generalising arithmetic: an alternative to algebra learning support assistants in mathematics lessons inclusion and entitlement, equality of opportunity and quality of curriculum provision.
Book Synopsis Key Ideas in Teaching Mathematics by : Anne Watson
Download or read book Key Ideas in Teaching Mathematics written by Anne Watson and published by Oxford University Press, USA. This book was released on 2013-02-21 with total page 270 pages. Available in PDF, EPUB and Kindle. Book excerpt: International research is used to inform teachers and others about how students learn key ideas in higher school mathematics, what the common problems are, and the strengths and pitfalls of different teaching approaches. An associated website, hosted by the Nuffield Foundation, gives summaries of main ideas and access to sample classroom tasks.
Book Synopsis Care in Mathematics Education by : Anne Watson
Download or read book Care in Mathematics Education written by Anne Watson and published by Springer Nature. This book was released on 2021-02-13 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book investigates the process of care in mathematics teaching. The author proposes transformative educational spaces in which learning mathematics, rather than consisting of a repetitive grind of exercises and facts, can become a part of learner identity. This book describes examples of mathematics teachings in a wide range of contexts and pedagogies, coordinated to identify common features where care for mathematical learning and thinking is combined with care for learners. Along with detailing caring mathematics education practices in alternative spaces, the author demonstrates similar practices alive even with the current mainstream spaces of acquisition and performance. Care is integrated through listening, and developing responsive and trusting relationships. It will be of interest to scholars of mathematics education, as well as pre-service and in-service teachers and teacher educators.
Book Synopsis Supporting Mathematical Thinking with Anne Watson by :
Download or read book Supporting Mathematical Thinking with Anne Watson written by and published by . This book was released on 2001 with total page 56 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Task Design In Mathematics Education by : Anne Watson
Download or read book Task Design In Mathematics Education written by Anne Watson and published by Springer. This book was released on 2015-10-26 with total page 339 pages. Available in PDF, EPUB and Kindle. Book excerpt: *THIS BOOK IS AVAILABLE AS OPEN ACCESS BOOK ON SPRINGERLINK* This open access book is the product of ICMI Study 22 Task Design in Mathematics Education. The study offers a state-of-the-art summary of relevant research and goes beyond that to develop new insights and new areas of knowledge and study about task design. The authors represent a wide range of countries and cultures and are leading researchers, teachers and designers. In particular, the authors develop explicit understandings of the opportunities and difficulties involved in designing and implementing tasks and of the interfaces between the teaching, researching and designing roles – recognising that these might be undertaken by the same person or by completely separate teams. Tasks generate the activity through which learners meet mathematical concepts, ideas, strategies and learn to use and develop mathematical thinking and modes of enquiry. Teaching includes the selection, modification, design, sequencing, installation, observation and evaluation of tasks. The book illustrates how task design is core to effective teaching, whether the task is a complex, extended, investigation or a small part of a lesson; whether it is part of a curriculum system, such as a textbook, or promotes free standing activity; whether the task comes from published source or is devised by the teacher or the student.
Book Synopsis Questions and Prompts for Mathematical Thinking by : Anne Watson
Download or read book Questions and Prompts for Mathematical Thinking written by Anne Watson and published by . This book was released on 1998 with total page 42 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Thinkers written by Chris Bills and published by . This book was released on 2004-01-01 with total page 38 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Thinkers is a collection of activities to provoke matheatical thinking. ... The book contains sixteen different contexts for exemplifying the general and generalisong the partiucular which are processes at the heart of 'doing mathematics'. There are examples of the way in which teachers can use the techniques for any topic in mathematics."--Back cover.
Download or read book Thnking Mathematically written by J Mason and published by Pearson Higher Ed. This book was released on 2011-01-10 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt: Thinking Mathematically is perfect for anyone who wants to develop their powers to think mathematically, whether at school, at university or just out of interest. This book is invaluable for anyone who wishes to promote mathematical thinking in others or for anyone who has always wondered what lies at the core of mathematics. Thinking Mathematically reveals the processes at the heart of mathematics and demonstrates how to encourage and develop them. Extremely practical, it involves the reader in questions so that subsequent discussions speak to immediate experience.
Book Synopsis Mathematical Knowledge in Teaching by : Tim Rowland
Download or read book Mathematical Knowledge in Teaching written by Tim Rowland and published by Springer Science & Business Media. This book was released on 2011-01-06 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: The quality of primary and secondary school mathematics teaching is generally agreed to depend crucially on the subject-related knowledge of the teacher. However, there is increasing recognition that effective teaching calls for distinctive forms of subject-related knowledge and thinking. Thus, established ways of conceptualizing, developing and assessing mathematical knowledge for teaching may be less than adequate. These are important issues for policy and practice because of longstanding difficulties in recruiting teachers who are confident and conventionally well-qualified in mathematics, and because of rising concern that teaching of the subject has not adapted sufficiently. The issues to be examined in Mathematical Knowledge in Teaching are of considerable significance in addressing global aspirations to raise standards of teaching and learning in mathematics by developing more effective approaches to characterizing, assessing and developing mathematical knowledge for teaching.
Book Synopsis Debates in Mathematics Education by : Gwen Ineson
Download or read book Debates in Mathematics Education written by Gwen Ineson and published by Routledge. This book was released on 2020-06-15 with total page 364 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Mathematical Action & Structures of Noticing by :
Download or read book Mathematical Action & Structures of Noticing written by and published by BRILL. This book was released on 2009-01-01 with total page 241 pages. Available in PDF, EPUB and Kindle. Book excerpt: John Mason has been a prominent figure in the research field of mathematics education for several decades. His principal focus has been thinking about mathematical problems, supporting those who wish to foster and sustain their own thinking and the thinking of others.
Book Synopsis Deep Progress in Mathematics by : Anne Watson
Download or read book Deep Progress in Mathematics written by Anne Watson and published by . This book was released on 2003 with total page 55 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Helping Children Learn Mathematics by : National Research Council
Download or read book Helping Children Learn Mathematics written by National Research Council and published by National Academies Press. This book was released on 2002-07-31 with total page 53 pages. Available in PDF, EPUB and Kindle. Book excerpt: Results from national and international assessments indicate that school children in the United States are not learning mathematics well enough. Many students cannot correctly apply computational algorithms to solve problems. Their understanding and use of decimals and fractions are especially weak. Indeed, helping all children succeed in mathematics is an imperative national goal. However, for our youth to succeed, we need to change how we're teaching this discipline. Helping Children Learn Mathematics provides comprehensive and reliable information that will guide efforts to improve school mathematics from pre-kindergarten through eighth grade. The authors explain the five strands of mathematical proficiency and discuss the major changes that need to be made in mathematics instruction, instructional materials, assessments, teacher education, and the broader educational system and answers some of the frequently asked questions when it comes to mathematics instruction. The book concludes by providing recommended actions for parents and caregivers, teachers, administrators, and policy makers, stressing the importance that everyone work together to ensure a mathematically literate society.
Book Synopsis Mathematics as a Constructive Activity by : Anne Watson
Download or read book Mathematics as a Constructive Activity written by Anne Watson and published by Routledge. This book was released on 2006-04-21 with total page 407 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Listening written by Katherine Schultz and published by Teachers College Press. This book was released on 2003-09-13 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt: How can new and experienced teachers rethink the ways of teaching and learn to embrace and learn from the diversity they encounter among their students? Rather than preparing teachers to follow prescriptions or blueprints, Katherine Schultz suggests that we show them how to attend to and respond to the students they teach. In this book, she offers a conceptual framework for "deep listening," illustrating how successful teachers listen for the particularities of individual students, listen for the rhythm and balance of the whole class, listen for the broader contexts of students' lives, and listen for silence and acts of silence. Listening in this manner brings together knowledge of individual students, an understanding of a student's place within the classroom, and mastery of subject matter and pedagogy. This volume features compelling case studies that reveal the classroom lives of teachers who are exemplary listeners.
Book Synopsis Thinking for Ourselves by : Jill Mansergh
Download or read book Thinking for Ourselves written by Jill Mansergh and published by . This book was released on 2007 with total page 38 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Visible Maths written by Peter Mattock and published by Crown House Publishing Ltd. This book was released on 2019-02-08 with total page 417 pages. Available in PDF, EPUB and Kindle. Book excerpt: Peter Mattock's Visible Maths: Using representations and structure to enhance mathematics teaching in schools supports teachers in their use of concrete and pictorial representations to illustrate key mathematical ideas and operations. Viewing the maths lesson as an opportunity for pupils to develop a deep understanding of mathematical concepts and relationships, rather than simply to follow fixed processes that lead to 'the answer', is increasingly recognised as the pinnacle of best practice in maths education. In this book, Peter Mattock builds on this approach and explores in colourful detail a variety of visual tools and techniques that can be used in the classroom to deepen pupils' understanding of mathematical operations. Covering vectors, number lines, algebra tiles, ordered-pair graphs and many other representations, Visible Maths equips teachers with the confidence and practical know-how to take their pupils' learning to the next level. The book looks at the strengths, and flaws, of each representation so that both primary and secondary school teachers of maths can make informed judgements about which representations will benefit their pupils. The exploration begins at the very basics of number and operation, and extends all the way through to how the representations apply to algebraic expressions and manipulations. As well as sharing his expert knowledge on the subject, Peter draws on relevant research and his own experience of using the representations in order to support teachers in understanding how these representations can be implemented effectively. Visible Maths also includes a glossary covering the key mathematical terms, as well as a chapter dedicated to answering some of the questions that may arise from the reading of the book. Furthermore, the accompanying diagrams and models are displayed in full colour to illustrate the conceptual takeaways and teaching techniques discussed. Suitable for teachers of maths in primary and secondary school settings.
