Anne Watson - Böcker

Big ideas in the mathematics curriculum for older school students, especially those that are hard to learn and hard to teach, are covered in this book. It will be a first port of call for research about teaching big ideas for students from 9-19 and also has implications for a wider range of students. These are the ideas that really matter, that students get stuck on, and that can be obstacles to future learning. It shows how students learn, why they sometimes get things wrong, and the strengths and pitfalls of various teaching approaches. Contemporary high-profile topics like modelling are included. The authors are experienced teachers, researchers and mathematics educators, and many teachers and researchers have been involved in the thinking behind this book, funded by the Nuffield Foundation. An associated website, hosted by the Nuffield Foundation, summarises the key messages in the book and connects them to examples of classroom tasks that address important learning issues about particular mathematical ideas.

New Directions for Situated Cognition in Mathematics Education represents the maturation and expansion of the situated cognition theories applied to mathematics education. All of the situations on which the chapters of this book are based exemplify activity which would be described as mathematical, whether they are classrooms, workplaces, homes or the street. In identifying mathematical activity, this book examines the ways people talk, what they talk about, what they focus on, how they classify experience, what levels and kinds of generality occur to them, what is varied and what is fixed, what relationships they observe or construct and how they express them—much they way music, musicality, and a musician are recognized.In this book a dynamic view of knowledge is taken by all the authors. Although knowledge is considered what is produced in learning environments, each chapter offers a different perspective on its relationship to the individual, group, activity, historical conventions, and authoritarian views of meaning.New Directions for Situated Cognition in Mathematics Education provides a resource for educators, researchers and students to approach situated cognition through an organized and diverse source.

This accessible and thought-provoking book considers what beginning teachers need to know about learning, teaching, assessment, curriculum and professional development, in the context of teaching mathematics to eleven to nineteen year olds. It is part of a new series of books that has as its starting point the fact that PGCE students are already subject specialists.The authors show how mathematics teachers can communicate their own enthusiasm for the subject and inspire their pupils to learn and enjoy learning. They provide practical advice which will help teachers and student teachers to:plan, organize, manage and assess classroom workmake decisions about the content, ordering and level of difficulty of lessonsmake sense of new subject material and how it contributes to wider educational aimsdevelop professionally by developing the subject as a whole.This is a comprehensive introduction to teaching mathematics in the secondary school which will be invaluable to teachers beginning their careers and those who are training to be mathematics teachers.

This accessible and thought-provoking book considers what beginning teachers need to know about learning, teaching, assessment, curriculum and professional development, in the context of teaching mathematics to eleven to nineteen year olds. It is part of a new series of books that has as its starting point the fact that PGCE students are already subject specialists.The authors show how mathematics teachers can communicate their own enthusiasm for the subject and inspire their pupils to learn and enjoy learning. They provide practical advice which will help teachers and student teachers to:plan, organize, manage and assess classroom workmake decisions about the content, ordering and level of difficulty of lessonsmake sense of new subject material and how it contributes to wider educational aimsdevelop professionally by developing the subject as a whole.This is a comprehensive introduction to teaching mathematics in the secondary school which will be invaluable to teachers beginning their careers and those who are training to be mathematics teachers.

The arena in which the preparation of student-teachers for the teaching of mathematics takes place is shifting its foundations and moving its boundaries. The whole basis of teacher education at secondary level is in flux with a move towards teacher-education programmes which are largely school based. Increasingly, there is seen to be an important role for the school teacher who acts as mentor to the student teacher in some relationship with a tutor from the initial training i nstitution.; Teachers who are being encouraged to take on the mentoring role need preparation for its demands and teacher education courses need increasingly to make provision for the education and support of mentors. The purpose of this book is to discuss the mentoring process, to provide ideas and to highlight issues. It provides both practical help and guidance, and a philosophical consideration of the development of mathematics teachers and teaching.

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.

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.

'This book should be essential reading for all teachers of Mathematics. Two highly experienced and innovative teachers reflect on the approaches they designed and implemented that have raised student achievement and opportunity.' Dr Jo Boaler, Stanford University 'This book will be used by teachers of Mathematics all over the world: its fresh ideas and basis in recent research and theory make it more valuable than other texts aimed at the same audience - it is full of well-founded ideas and exemplary practices which teachers will be able to think about, question, adapt and use.' Dr Bill Barton, University of Auckland 'This is one of those rare texts which one can wholeheartedly recommend to teachers across the whole spectrum from idealistic novice to fatigued veteran. It is intellectually provocative and intensely practical.' Dr William Higginson, Queen's University Canada Mike Ollerton is Senior Lecturer in Mathematics Education at St Martin's College, Lancaster. Anne Watson is Reader in Mathematics Education at the University of Oxford.

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 mathematicallynumeracy recoverytask refusal in primary mathematicsprogression in written calculation strategies for divisionusing graphic calculators with low-attaining pupilsgeneralising arithmetic: an alternative to algebralearning support assistants in mathematics lessonsinclusion and entitlement, equality of opportunity and quality of curriculum provision.

The arena in which the preparation of student-teachers for the teaching of mathematics takes place is shifting its foundations and moving its boundaries. The whole basis of teacher education at secondary level is in flux with a move towards teacher-education programmes which are largely school based. Increasingly, there is seen to be an important role for the school teacher who acts as mentor to the student teacher in some relationship with a tutor from the initial training i nstitution.; Teachers who are being encouraged to take on the mentoring role need preparation for its demands and teacher education courses need increasingly to make provision for the education and support of mentors. The purpose of this book is to discuss the mentoring process, to provide ideas and to highlight issues. It provides both practical help and guidance, and a philosophical consideration of the development of mathematics teachers and teaching.

New Directions for Situated Cognition in Mathematics Education represents the maturation and expansion of the situated cognition theories applied to mathematics education. All of the situations on which the chapters of this book are based exemplify activity which would be described as mathematical, whether they are classrooms, workplaces, homes or the street. In identifying mathematical activity, this book examines the ways people talk, what they talk about, what they focus on, how they classify experience, what levels and kinds of generality occur to them, what is varied and what is fixed, what relationships they observe or construct and how they express them—much they way music, musicality, and a musician are recognized.In this book a dynamic view of knowledge is taken by all the authors. Although knowledge is considered what is produced in learning environments, each chapter offers a different perspective on its relationship to the individual, group, activity, historical conventions, and authoritarian views of meaning.New Directions for Situated Cognition in Mathematics Education provides a resource for educators, researchers and students to approach situated cognition through an organized and diverse source.

The acclaimed authors of The Book of Luck are back with some brilliant ideas for bringing more happiness into your life. The Book of Happiness is more than just a practical guide to improving your happiness levels. It's a complete makeover, aimed at putting a spring in your step, and a permanent lift to your spirits. We all know happiness is a state of mind, but few of us know how to improve our share of it. Many people think that happiness just comes out of nowhere. Not so. The reality is you can create your own happiness by choosing what you do, what you say, where you go, what you remember, who and what you surround yourself with, what you think and what you listen to.The Book of Happiness kicks off with a Happiness Questionnaire to give you an instant snapshot of your current state of mind. Once you have scored yourself, you will learn the areas you need to focus on. There is a workbook to complete at each key stage, as well as stirring anecdotes, tips and happy thoughts to keep you going.Just remember: it only takes 21 days to get rid of an unwanted habit and to acquire a new one. Isn't it about time you got the happiness habit?

Are some people just born lucky? The answer is no, people control their own fortunes. The Book of Luck will show you that there is a way to structure your luck and to bring success into your life and into your control. It will show you how to be lucky, always, demonstrating what has gone wrong in the past and outlining what you need to know for the future. Summers and Watson use extensive research and draw on their personal experiences both professionally and personally, to bring you a book crammed full of practical tips on how to turn the tide of your luck. This book will appeal to people who want to move up in life, people who have been made redundant, people who have plateaued in their careers and people who are ambitious for the next step - or simply people who want to make more of themselves in a business or personal context. The Book of Luck shows you how to: choose your own luckuse social situations to increase your potential for luckuse your own personal strengths to increase your luckchoose how you respond to situations and maximise your lucktrain your mind to expect long term successdevelop a good luck mindset.

There are few books available which cover the full job-searching, application, interview and negotiation process. The Definitive Job Book is just that – it covers every single aspect of job-hunting in seven chapters. Each chapter includes 'advice from the inside' interviews with HR and recruitment specialists and 'I've been there too' interviews with people who have successfully navigated the recruitment minefield. The Definitive Job Book Is an essential reference for anyone - from graduates starting out, to senior executives seeking a change - to the job-hunting process. You will need only THIS book to get the job of your dreams.

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 mathematicallynumeracy recoverytask refusal in primary mathematicsprogression in written calculation strategies for divisionusing graphic calculators with low-attaining pupilsgeneralising arithmetic: an alternative to algebralearning support assistants in mathematics lessonsinclusion and entitlement, equality of opportunity and quality of curriculum provision.

This book investigates the process of care in mathematics teaching. 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.

This book investigates the process of care in mathematics teaching. 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.

*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.