Tasks in Primary Mathematics Teacher Education

Emerging from discussion at the ICMI study on teacher professional development, this volume, focused on primary and elementary teachers, culls a richness that can only be found by gathering wisdom from varied experiences around the world.

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Author: Barbara Clarke

Publisher: Springer Science & Business Media

ISBN: 9780387096698

Category: Education

Page: 310

View: 117

Tasks in Primary Mathematics Teacher Education is intended to advance relevant research and innovative international practices in the preparation and professional development of mathematics teachers. Emerging from discussion at the ICMI study on teacher professional development, this volume, focused on primary and elementary teachers, culls a richness that can only be found by gathering wisdom from varied experiences around the world. The choice of tasks, and the associated pedagogies, is a key aspect of teaching and learning mathematics. Arguing that what students learn is largely defined by the tasks they are given, several major themes are presented. One such major strand, the form, function and focus of tasks, is discussed throughout several chapters, offering analysis, discussion of implementation, and exemplars of a broader category of illustrative techniques for developing critical understanding.

Tasks in Primary Mathematics Teacher Education

Emerging from discussion at the ICMI study on teacher professional development, this volume, focused on primary and elementary teachers, culls a richness that can only be found by gathering wisdom from varied experiences around the world.

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Author: Barbara Clarke

Publisher: Springer Science & Business Media

ISBN: 9780387096681

Category: Education

Page: 310

View: 488

Tasks in Primary Mathematics Teacher Education is intended to advance relevant research and innovative international practices in the preparation and professional development of mathematics teachers. Emerging from discussion at the ICMI study on teacher professional development, this volume, focused on primary and elementary teachers, culls a richness that can only be found by gathering wisdom from varied experiences around the world. The choice of tasks, and the associated pedagogies, is a key aspect of teaching and learning mathematics. Arguing that what students learn is largely defined by the tasks they are given, several major themes are presented. One such major strand, the form, function and focus of tasks, is discussed throughout several chapters, offering analysis, discussion of implementation, and exemplars of a broader category of illustrative techniques for developing critical understanding.

New Teacher Identity and Regulative Government

This book seeks to address the question of how the task of teaching mathematics to young children might be better understood.

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Author: Tony Brown

Publisher: Springer Science & Business Media

ISBN: 9780387239729

Category: Education

Page: 208

View: 477

This book seeks to address the question of how the task of teaching mathematics to young children might be better understood. But rather than starting out with a conception of mathematics derived from the many histories mathematics might claim as its own we centre the analysis instead within the social practices that surround the teaching of the subject to children aged four to eleven in English primary schools today. That is, we do not commence with an a priori conception of mathematics and see what people are saying about it. Rather, we start from what people are saying and see where this points. We probe how the desires of society have manifested themselves in a societal decision to teach mathematics and how this decision now shapes that which is called "mathematics". We focus on the operation of the noun "mathematics" and verb "mathematical" and consider how the meanings of these terms derive from the social domain in which they are being used. This extends and develops a conception of how language intervenes in the task of mathematics education presented elsewhere (Brown, 2001). In this present book however, we have a particular focus on trainee and newly qualified teachers, with a view to pinpointing how this conception of mathematics manifests itself in their evolving practices. We question how such teachers with many years of experience as a pupil in school might now re-orient themselves towards the demands of teaching mathematics in schools.

Transforming Primary Mathematics

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.

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Author: Mike Askew

Publisher: Routledge

ISBN: 9781317357568

Category: Education

Page: 172

View: 366

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.

Research Trends in Mathematics Teacher Education

Tasks in primary mathematics teacher education: Purpose, use and exemplars. New York: Springer. de Freitas, E. (2008). Enacting identity through narrative: ...

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Author: Jane-Jane Lo

Publisher: Springer

ISBN: 9783319025629

Category: Education

Page: 320

View: 301

Research on the preparation and continued development of mathematics teachers is becoming an increasingly important subset of mathematics education research. Such research explores the attributes, knowledge, skills and beliefs of mathematics teachers as well as methods for assessing and developing these critical aspects of teachers and influences on teaching. Research Trends in Mathematics Teacher Education focuses on three major themes in current mathematics teacher education research: mathematical knowledge for teaching, teacher beliefs and identities, and tools and techniques to support teacher learning. Through careful reports of individual research studies and cross-study syntheses of the state of research in these areas, the book provides insights into teachers’ learning processes and how these processes can be harnessed to develop effective teachers. Chapters investigate bedrock skills needed for working with primary and secondary learners (writing relevant problems, planning lessons, being attentive to student learning) and illustrate how knowledge can be accessed, assessed, and nurtured over the course of a teaching career. Commentaries provide context for current research while identifying areas deserving future study. Included among the topics: Teachers’ curricular knowledge Teachers’ personal and classroom mathematics Teachers’ learning journeys toward reasoning and sense-making Teachers’ transitions in noticing Teachers’ uses of a learning trajectory as a tool for mathematics lesson planning A unique and timely set of perspectives on the professional development of mathematics teachers at all stages of their careers, Research Trends in Mathematics Teacher Education brings clarity and practical advice to researchers as well as practitioners in this increasingly critical arena.

The Learning and Development of Mathematics Teacher Educators

In B. Clarke, B. Grevholm, & R. Millman (Eds.), Tasks in primary mathematics teacher education (pp. 275–284). New York, NY: Springer.

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Author: Merrilyn Goos

Publisher: Springer Nature

ISBN: 9783030624088

Category: Education

Page: 455

View: 987

Research in mathematics teacher education as a distinctive field of inquiry has grown substantially over the past 10-15 years. Within this field there is emerging interest in how mathematics teacher educators (MTEs) themselves learn and develop. Until recently there were few published studies on this topic, and the processes by which mathematics teacher educators learn, and the forms of knowledge they require for effective practice, had not been systematically investigated. However, researchers in mathematics education are now beginning to investigate the development of MTE expertise and associated issues. This volume draws on the latest research and thinking in this area is therefore timely to stimulate future development and directions. It will survey the emerging field of inquiry in mathematics education, combining the work of established scholars with perspectives of newcomers to the field, with the aim of influencing development of the field, invite cross-cultural comparisons in becoming a mathematics teacher educator by highlighting issues in the development of MTEs in different countries, and examine the roles of both mathematics educators and mathematicians in preparing future teachers of mathematics. The primary audience will be university-based mathematics teacher educators and MTE researchers, and postgraduate research students who are seeking academic careers as MTEs. Additional interest may come from teacher educators in disciplines other than mathematics, and education policy makers responsible for accreditation and quality control of initial teacher education programs.

The Handbook of Mathematics Teacher Education Volume 1

Knowledge and Beliefs in Mathematics Teaching and Teaching Development addresses the “what” of mathematics teacher education, meaning knowledge for mathematics teaching and teaching development and consideration of associated beliefs.

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Author:

Publisher: BRILL

ISBN: 9789087905439

Category: Education

Page:

View: 596

Knowledge and Beliefs in Mathematics Teaching and Teaching Development addresses the “what” of mathematics teacher education, meaning knowledge for mathematics teaching and teaching development and consideration of associated beliefs.

Research Advances in the Mathematical Education of Pre service Elementary Teachers

Tasks in Primary Mathematics Teacher Education. Purpose, Use and Exemplars. New York: Springer. Even, R. & Ball, L. D. (Eds.) (2009).

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Author: Gabriel J. Stylianides

Publisher: Springer

ISBN: 9783319683423

Category: Education

Page: 304

View: 667

This book examines new trends and developments in research related to the mathematical education of pre-service elementary teachers, and explores the implications of these research advances for theory and practice in teacher education. The book is organized around the following four overarching themes: pre-service teachers’ mathematics content and mathematics-specific pedagogical preparation; professional growth through activities and assessment tools used in mathematics teacher preparation programs; pre-service mathematics teachers’ knowledge and beliefs; and perspectives on noticing in the preparation of elementary mathematics teachers. Including contributions from researchers working in 11 different countries, the book offers a forum for discussing and debating the state of the art regarding the mathematical preparation of pre-service elementary teachers. By presenting and discussing the findings of research conducted in different countries, the book offers also opportunities to readers to learn about varying teacher education practices around the world, such as: innovative practices in advancing or assessing teachers’ knowledge and beliefs, similarities and differences in the formal mathematics education of teachers, types of and routes in teacher education, and factors that can influence similarities or differences.

Primary Mathematics Teaching Theory and Practice

This is the essential teaching theory and practice text for primary Mathematics that takes a focused look at the practical aspects of teaching.

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Author: Claire Mooney

Publisher: Learning Matters

ISBN: 9781526440761

Category: Education

Page: 288

View: 237

An extensive knowledge of the primary Mathematics curriculum is not enough for trainee teachers, they need to know how to teach Maths in the primary classroom. This is the essential teaching theory and practice text for primary Mathematics that takes a focused look at the practical aspects of teaching. It covers the important skills of classroom management, planning, monitoring and assessment and relates these specifically to primary Maths, with new material on assessment without levels. And to support students even further with the very latest strategies in classroom practice, this 8th edition now includes online resources: Practical lesson ideas for the classroom The Primary National Curriculum for Mathematics in Key Stages one and two Tips for planning primary Mathematics Useful weblinks for primary Mathematics teaching

Lesson Play in Mathematics Education

A Tool for Research and Professional Development Rina Zazkis, ... published in these series: Tasks in Primary Mathematics Teacher Education (2009), Teaching ...

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Author: Rina Zazkis

Publisher: Springer Science & Business Media

ISBN: 9781461435495

Category: Education

Page: 284

View: 558

Lesson play is a novel construct in research and teachers’ professional development in mathematics education. Lesson play refers to a lesson or part of a lesson presented in dialogue form—inspired in part by Lakatos’s evocative Proofs and Refutations—featuring imagined interactions between a teacher and her/his students. We have been using and refining our use of this tool for a number of years and using it in a variety of situations involving mathematics thinking and learning. The goal of this proposed book is to offer a comprehensive survey of the affordances of the tool, the results of our studies—particularly in the area of pre-service teacher education, and the reasons that the tool offers such productive possibilities for both researchers and teacher educators.

International Handbook of Mathematics Teacher Education Volume 1

Knowledge, Beliefs, and Identity in Mathematics Teaching and Teaching Development examines teacher knowledge, beliefs, identity, practice and relationships among them.

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Author:

Publisher: BRILL

ISBN: 9789004418875

Category: Education

Page: 434

View: 271

Knowledge, Beliefs, and Identity in Mathematics Teaching and Teaching Development examines teacher knowledge, beliefs, identity, practice and relationships among them. These important aspects of mathematics teacher education continue to be the focus of extensive research and policy debate globally.

Task Design In Mathematics Education

Teachers and researchers collaborating to develop teaching through problem solving in primary mathematics. In C. Margolinas (Ed.), Task design in ...

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Author: Anne Watson

Publisher: Springer

ISBN: 9783319096292

Category: Education

Page: 339

View: 152

This 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.

Exploring the Mathematical Education of Teachers Using TEDS M Data

In B. Clarke, B. Grevholm, & R. Millman (Eds.), Tasks in primary mathematics teacher education (Vol. 4, pp. 25–36). Boston, MA: Springer US Retrieved from ...

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Author: Maria Teresa Tatto

Publisher: Springer

ISBN: 9783319921440

Category: Education

Page: 579

View: 217

This book uses the publicly available TEDS-M data to answer such questions as: How does teacher education contribute to the learning outcomes of future teachers? Are there programs that are more successful than others in helping teachers learn to teach mathematics? How does the local and national policy environment contribute to teacher education outcomes? It invites readers to explore these questions across a large number of international settings. The importance of preparing future mathematics teachers has become a priority across many nations. Across the globe nations have allocated resources and expertise to this endeavour. Yet in spite of the importance accorded to teacher education not much is known about different approaches to preparing knowledgeable teachers and whether these approaches do in fact achieve their purpose. The Mathematics Teacher Education and Development Study (TEDS-M) is the first, and to date the only, cross-national study using scientific and representative samples to provide empirical data on the knowledge that future mathematics teachers of primary and secondary school acquire in their teacher education programs. The study addresses the central importance of teacher knowledge in learning to teach mathematics by examining variation in the nature and influence of teacher education programs within and across countries. The study collected data on teacher education programs structure, curriculum and opportunities to learn, on teacher educators’ characteristics and beliefs, and on future mathematics teachers’ individual characteristics, beliefs, and mathematics and pedagogical knowledge across 17 countries providing a unique opportunity to explore enduring questions in the field.

Becoming a Mathematics Teacher

This book documents in real time the implementation of a major government numeracy programme and its receipt by trainee and new teachers. It documents the complete life span of that initiative.

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Author: Tony Brown

Publisher: Springer Science & Business Media

ISBN: 9400705549

Category: Education

Page: 194

View: 417

The book is centered on how major curriculum reform shapes mathematics and the professional practices of teachers. This book documents in real time the implementation of a major government numeracy programme and its receipt by trainee and new teachers. It documents the complete life span of that initiative. The account is targeted at an international readership in terms of how curriculum reform more generally shapes mathematics in schools and the practices of teachers. A key dimension of the book is an alternative view of mathematics education research in which the task of teacher development is understood at policy level where large numbers of teachers were interviewed to assess how policies were being processed through individuals. The book provides an easy and accessible commentary utilising contemporary theory to describe how such teachers reconcile their personal aspirations with the external demands they encounter in negotiating their identities as professional teachers.

Key Concepts in Teaching Primary Mathematics

Covering the key principles and concepts in the teaching and learning of mathematics in primary schools, this text provides trainee and practising teachers with a quick and easy reference to what they need to know for their course, and in ...

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Author: Derek Haylock

Publisher: SAGE

ISBN: 9781849202459

Category: Education

Page: 200

View: 709

Covering the key principles and concepts in the teaching and learning of mathematics in primary schools, this text provides trainee and practising teachers with a quick and easy reference to what they need to know for their course, and in the classroom. The entries are arranged alphabetically, and each contains a brief definition, followed by an explanation and discussion, practical examples and annotated suggestions for further reading. Examples of the wide-ranging material include: Anxiety about mathematics; Assessment for Learning; Cognitive conflict; Concept learning; Creativity in mathematics; Differentiation; Equivalence; Explanation; Investigation; Low attainment; Making connections; Meaningful context; Mental calculation; Numeracy; Play as a context for learning mathematics; Problem-solving; Questioning; Talk.

Mathematics Teachers Engaging with Representations of Practice

This book presents innovative approaches and state-of-the-art empirical studies on mathematics teacher learning. It highlights the advantages and challenges of such tools as classroom videos, concept cartoons, simulations, and scenarios.

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Author: Orly Buchbinder

Publisher: Springer

ISBN: 9783319705941

Category: Education

Page: 172

View: 193

This book presents innovative approaches and state-of-the-art empirical studies on mathematics teacher learning. It highlights the advantages and challenges of such tools as classroom videos, concept cartoons, simulations, and scenarios. The book details how representations of practice encourage and afford professional development, and describes how these tools help to investigate aspects of teacher expertise, beliefs, and conceptions. In addition, the book identifies the methodological challenges that can emerge and the obstacles educators might encounter when using representations of practice. The book examines the nature of these challenges and provides suggestions for solving them. It offers a variety of different approaches that can help educators to develop professional learning activities for prospective and in-service teachers.

Methodologies of Mediation in Professional Learning

Journal of Mathematics Teacher Education, 10(2), 123–140. ... In B. Clark, B. Grevholm, & R. Millmand (Eds.), Task in primary mathematics teacher education: ...

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Author: Lily Orland-Barak

Publisher: Springer

ISBN: 9783319499062

Category: Education

Page: 167

View: 496

This book critically explores the use of nine recognized methodologies for the mediation of professional learning in the context of teacher education: The story, the visual text, the case, the video, the simulation, the portfolio, lesson study, action research, and Information and Communication Technologies (ICT). Drawing on theories of mediation and professional learning, the book establishes connections between theoretical, empirical and practical-based aspects of each of these methodologies. It consolidates a body of knowledge that offers a holistic portrayal of these methodologies in terms of their purposes (what for), processes (how), and outcomes (what), both distinctively and inclusively. Each chapter offers four perspectives on each methodology (1) theoretical groundings of the genre (2) research-based evidence on methodologies-as-pedagogies for mediating teacher learning (3) mediation tasks for teacher education as reported in studies and (4) a synthesis of recurrent themes identified from selected books and articles, including a comprehensive list of publications organized by decades. The last chapter presents an integrative framework that conceptualizes connections and weak links across the different methodologies of mediation.

Mathematics Explained for Primary Teachers

Get access to an interactive eBook* when you buy the paperback! (Print paperback version only, ISBN 9781446285879) A Unique Blend of Digital and Print Learning Resources! 5 Star student reviews: “A must have for teachers-to-be, especially ...

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Author: Derek Haylock

Publisher: SAGE Publications Limited

ISBN: 1473902843

Category: Education

Page: 496

View: 731

5 Star student reviews: “A must have for teachers-to-be, especially those who are a bit shaky on their maths knowledge!” “Not many maths books keep me fixated but this is one that is definitely worth the money.” “It is a book I will be using even when in the classroom.” Mathematics Explained for Primary Teachers develops your understanding of mathematical concepts and processes, and how children learn them, so you can confidently teach mathematics to primary children. Tried and tested, the fifth edition of Derek Haylock’s much loved textbook matches the 2014 curriculum requirements for England. Every chapter integrates children’s learning, classroom practice, and teacher’s own requirements for subject knowledge, making this the ideal text to guide you through your studies and beyond. The new edition is supported by FREE access to an interactive eBook and a companion website allowing you to use a wealth of teaching and learning resources. Visit study.sagepub.com/haylock5e to access: Videos by the author introduce core themes of each section and explain key mathematical processes. Links to the National Curriculum specify the statutory requirements for primary schools in England that relate to the mathematical content of each chapter. Learning and Teaching points highlight important issues you may face in the classroom and provide practical guidance for teaching. Self-assessment questions help check your understanding and provide immediate feedback to see how well you have done. Select SAGE journal articles to support literature reviews and wider reading. Lesson Plan Activities by Ralph Manning support content-focused chapters and contain creative mathematics tasks across the primary age range. A Student Workbook is also available to accompany this book, including over 700 practice problems to help you understand, apply and teach primary mathematics. Derek Haylock is an education consultant and writer with a background in mathematics teaching, teacher education and classroom-based research in mathematics education. Ralph Manning is an independent consultant in primary education. He has worked as a primary teacher and as a lecturer in primary teacher education for 18 years, following a career in IT.

Understanding and Teaching Primary Mathematics

Companion website features new to this edition include: video clips in which the author demonstrates the concepts covered in the book through teaching to a real class PowerPoint presentations which provide support for those using the book ...

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Author: Tony Cotton

Publisher: Routledge

ISBN: 9781317443216

Category: Education

Page: 290

View: 858

Written by an education consultant with widespread experience of teaching mathematics in the UK and internationally, Understanding and Teaching Primary Mathematics seamlessly combines pedagogy and subject knowledge to build confidence and equip you with all the skills and know-how you need to successfully teach mathematics to children of any age. This 3rd edition has been fully updated to reflect the latest research developments and initiatives in the field, as well as key changes to both the UK National Curriculum and International Baccalaureate, including a brand new chapter on ‘Algebra’ and a reworked focus on the early years. Extra features also include helpful call-outs to the book’s revised and updated companion website, which offers a shared site with a range of resources relevant to both this book and its new companion volume, Teaching for Mathematical Understanding. Stimulating, accessible and well-illustrated, with comprehensive coverage of subject knowledge and pedagogy, Understanding and Teaching Primary Mathematics is an essential purchase for trainee and practising teachers alike. Companion website features new to this edition include: video clips in which the author demonstrates the concepts covered in the book through teaching to a real class PowerPoint presentations which provide support for those using the book as a part of a teacher training course updated weblinks to external sites with useful teaching information and resources

A Practical Guide to Transforming Primary Mathematics

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 ...

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Author: Mike Askew

Publisher: Routledge

ISBN: 9781317813262

Category: Education

Page: 178

View: 692

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.