Understanding And Enriching Problem Solving In Primary Mathematics

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Understanding and Enriching Problem Solving in Primary Mathematics

Author : Patrick Barmby,David Bolden,Lynn Thompson
Publisher : Critical Publishing
Page : 144 pages
File Size : 44,5 Mb
Release : 2014-05-19
Category : Education
ISBN : 9781909330726

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Understanding and Enriching Problem Solving in Primary Mathematics by Patrick Barmby,David Bolden,Lynn Thompson Pdf

This up to date book is essential reading for all those teaching or training to teach primary mathematics. Problem solving is a key aspect of teaching and learning mathematics, but also an area where teachers and pupils often struggle. Set within the context of the new primary curriculum and drawing on research and practice, the book identifies the key knowledge and skills required in teaching and learning problem solving in mathematics, and examines how these and can be applied in the classroom. It explores the issues in depth while remaining straightforward and relevant, emphasises the enrichment of maths through problem-solving, and provides opportunities for teachers to reflect on and further develop their classroom practice.

Mastery and Depth in Primary Mathematics

Author : Fay Lewis,Amanda Wilkinson,Marcus Witt
Publisher : Routledge
Page : 111 pages
File Size : 53,7 Mb
Release : 2022-01-24
Category : Education
ISBN : 9781000517934

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Mastery and Depth in Primary Mathematics by Fay Lewis,Amanda Wilkinson,Marcus Witt Pdf

The UK National Curriculum is clear about the importance of reasoning and problem-solving in mathematics. Mastery and Depth in Primary Mathematics aims to support trainee and established teachers to embed mathematical thinking into their lessons. The authors focus on practical and actionable ways that primary teachers can develop their children’s mathematical thinking, reasoning and problem-solving: ideas which are at the heart of the UK National Curriculum. Covering a range of areas in mathematical thinking such as reasoning, problem-solving and pattern-spotting, as well as systematic and investigative thinking, each chapter provides clear examples of how teachers can make small, manageable ‘rich tweaks’ to their existing lessons to increase the opportunities for children to develop their mathematical thinking. Teachers will be able to dip into the book and find inspiration and ideas that they can use immediately and, importantly, develop a set of principles and skills which will enable them to take any mathematical activity and tweak it to develop their pupils’ thinking skills. This practical guide will be invaluable to all trainee teachers and early-career teachers that wish to enhance their primary mathematics teaching.

Enriching Mathematics in the Primary Curriculum

Author : Sue Pope,Pablo Mayorga
Publisher : Learning Matters
Page : 302 pages
File Size : 48,5 Mb
Release : 2019-03-11
Category : Education
ISBN : 9781526489708

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Enriching Mathematics in the Primary Curriculum by Sue Pope,Pablo Mayorga Pdf

How do I enrich children′s learning of primary mathematics to bring the subject to life? This book inspires and supports you, the new and beginning teacher, to use talk-rich and open tasks that bring mathematics to life in your classroom. Tried and loved practical tasks that engage and motivate Supports you to create confident and resilient mathematicians in your classroom Explores ways to engage children in mathematics across the primary curriculum Focuses on understanding key mathematical concepts and the connections between them

Problem Solving in Primary Mathematics

Author : Christine Edwards-Leis,Debbie Robinson
Publisher : Routledge
Page : 138 pages
File Size : 40,8 Mb
Release : 2018-07-17
Category : Education
ISBN : 9781317434962

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Problem Solving in Primary Mathematics by Christine Edwards-Leis,Debbie Robinson Pdf

Problem Solving in Primary Mathematics is an essential text designed to support new and experienced teachers in guiding pupils through mathematical investigations and problem solving, offering a framework that children themselves can begin to adopt as they progress to greater metacognitive awareness. Underpinned by the latest international research and theory, it examines how individual pupils think and act differently and offers guidance on how to promote independence and autonomy in the classroom. It examines key topics such as: Preparing for mathematical learning Designing learning material Assessing and evaluating learning Identifying key points for intervention What to do when learning is stalled Critical numeracy for real-world problem solving Mental Model Theory and the Mental Model Mode Different approaches to problem solving and investigating Aimed at new and experienced educators, particularly those with a maths specialism, and illustrated with investigations and activities, Problem Solving in Primary Mathematics demonstrates how frameworks can be used in key mathematical areas and assists students in progressing towards more meaningful problem solving.

EBOOK: Primary Mathematics: Teaching For Understanding

Author : Patrick Barmby,Lynn Bilsborough,Tony Harries,Steve Higgins
Publisher : McGraw-Hill Education (UK)
Page : 232 pages
File Size : 53,7 Mb
Release : 2009-09-16
Category : Education
ISBN : 9780335239115

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EBOOK: Primary Mathematics: Teaching For Understanding by Patrick Barmby,Lynn Bilsborough,Tony Harries,Steve Higgins Pdf

"One feature of this book that sets it apart from others is the care that is taken to clarify the authors’ interpretation of the phrase 'teaching for understanding'. Each component of this interpretation – connections, representations, reasoning, communication and misconceptions – is then successfully incorporated as a theme in the subsequent chapters that develop important mathematical topics." Ian Thompson, Visiting Professor at Edge Hill University and Northumbria University, UK This important book aims to support and develop teachers' understanding of the key primary mathematics topics. It takes an innovative approach by defining exactly what is meant by 'understanding' and uses this model to examine and explain various mathematical topics. The authors emphasize the importance of the different representations that can be used for mathematical concepts and inform the reasoning process. By focusing on understanding, the book also draws attention to common misconceptions that teachers may encounter in the classroom. Key features: Specific focus on 'understanding' to offer new insights in to how to teach the topics Case studies to demonstrate how to communicate mathematical topics in the classroom End of chapter questions to stimulate discussion The authors integrate research and theory throughout, to highlight core issues. This theoretical background is also linked directly to classroom practice and informs suggestions for how topics can be communicated in the classroom. This offers valuable guidance to trainee teachers on how to teach the topics and presents experienced teachers with the opportunity to develop their subject and pedagogical knowledge.

Mathematical Problem Posing

Author : Florence Mihaela Singer,Nerida F. Ellerton,Jinfa Cai
Publisher : Springer
Page : 587 pages
File Size : 41,9 Mb
Release : 2015-06-12
Category : Education
ISBN : 9781461462583

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Mathematical Problem Posing by Florence Mihaela Singer,Nerida F. Ellerton,Jinfa Cai Pdf

The mathematics education community continues to contribute research-based ideas for developing and improving problem posing as an inquiry-based instructional strategy for enhancing students’ learning. A large number of studies have been conducted which have covered many research topics and methodological aspects of teaching and learning mathematics through problem posing. The Authors' groundwork has shown that many of these studies predict positive outcomes from implementing problem posing on: student knowledge, problem solving and posing skills, creativity and disposition toward mathematics. This book examines, in-depth, the contribution of a problem posing approach to teaching mathematics and discusses the impact of adopting this approach on the development of theoretical frameworks, teaching practices and research on mathematical problem posing over the last 50 years. ​​

Problem Solving in Mathematics, Grades 3-6

Author : Alfred S. Posamentier,Stephen Krulik
Publisher : Corwin Press
Page : 153 pages
File Size : 48,7 Mb
Release : 2009-02-25
Category : Education
ISBN : 9781412960670

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Problem Solving in Mathematics, Grades 3-6 by Alfred S. Posamentier,Stephen Krulik Pdf

Problem-solving skills are critical to students' success in mathematics, but the techniques can't be caught; they must be taught. Based on the premise that educators must take a deliberate approach to the teaching of problem-solving skills, this book helps teachers engage students in the process. Problem Solving in Mathematics, Grades 3-6 presents nine strategies that students can use to solve problems, such as working backwards, finding a pattern, making a drawing, or solving a simpler equivalent problem. Each chapter demonstrates how teachers can Use the strategies with students at different grade levels Incorporate these strategies into a mathematics program Apply each strategy to real-life situations Make each strategy an integral part of students' thinking processes With helpful teaching notes, sample problems for students that fit into any mathematics curriculum, and step-by-step solutions to sample problems, this book is perfect for teachers who want their students to succeed in mathematics! Book jacket.

Leading Primary Mathematics

Author : Catherine Foley,Jane McNeill,Stephanie Suter
Publisher : SAGE
Page : 182 pages
File Size : 46,9 Mb
Release : 2019-03-18
Category : Education
ISBN : 9781526479112

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Leading Primary Mathematics by Catherine Foley,Jane McNeill,Stephanie Suter Pdf

This book provides guidance and insight into ′what mathematics leadership looks like in practice′ and shows readers how they can develop from a confident teacher into a curriculum subject leader. It does this through a careful blend of pedagogy and practical application, supported by a range of real-world case studies and opportunities to reflect critically on classroom practice. Key coverage includes: The planning and application that underpins subject leadership How international perspectives can influence leadership of mathematics How to develop fluency through problem solving and reasoning How to champion inclusive practice in mathematics Assessing children′s understanding This is essential reading for anyone studying primary mathematics on initial teacher education courses, including undergraduate (BA Ed, BA with QTS) and postgraduate (PGCE, PGDE, School Direct and SCITT) routes, NQTs seeking to develop into curriculum leadership roles and those already leading mathematics in their school.

Introduction to Problem Solving

Author : Susan O'Connell
Publisher : Math Process Standards Series
Page : 0 pages
File Size : 54,9 Mb
Release : 2016
Category : Education
ISBN : 0325092591

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Introduction to Problem Solving by Susan O'Connell Pdf

NCTM's Process Standards support teaching that helps children develop independent, effective mathematical thinking. The books in the Heinemann Math Process Standards Series give every primary teacher the opportunity to explore each standard in depth. With language and examples that don't require prior math training to understand, the series offers friendly, reassuring advice and ready-to-use examples to any teacher ready to embrace the Process Standards. In Introduction to Problem Solving, Susan O'Connell highlights practical techniques for making problem solving doable for your students. O'Connell eases you into problem solving, giving you an array of entry points for understanding, planning, and teaching, including strategies that help students develop the mathematical thinking necessary to discover effective approaches for solving a wide range of math problems. The book and accompanying online resources are filled with activities that are modifiable for immediate use with students of all levels customizable to match your specific lessons. In addition, a correlation guide helps you match the math content you teach with the mathematical processes it utilizes. If problem solving is a problem you'd like to solve, or if you're simply looking for new ways to work the problem-solving standards into your curriculum, read, dog-ear, and teach with Introduction to Problem Solving. And if you'd like to learn about any of NCTM's process standards, or if you're looking for new, classroom-tested ways to address them in your math teaching, look no further than Heinemann's Math Process Standards Series. You'll find them explained in the most understandable and practical way: from one teacher to another.

Understanding Primary Mathematics

Author : Christine Hopkins,Ann Pope,Sandy Pepperell
Publisher : Routledge
Page : 257 pages
File Size : 48,8 Mb
Release : 2013-01-11
Category : Education
ISBN : 9781135398453

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Understanding Primary Mathematics by Christine Hopkins,Ann Pope,Sandy Pepperell Pdf

In this textbook, the foundations of mathematics are made explicit and the reader is guided through the background knowledge and understanding that are required for the subject, offering a well-structured overview of the important issues to be considered when learning about mathematics on a Primary QTS course, and a coherent approach to the content to be found in the standards for QTS, the National Curriculum at Key Stages 1 and 2 and the numeracy strategy. The authors aim to help teachers review and restructure the understanding of mathematics gained during their education, progressing from partial memories of a few process to an understanding of why the skills they were taught make sense and how they fit into a coherent mathematics curriculum, arguing that to teach mathematics effectively it is not enough to be able to do the mathematics, you need to understand why you do what you do. Aimed at all teachers of primary mathematics, this book is also likely to be valuable to secondary teachers, parents, administrators and others interested in the foundations of school mathematics. Written for trainee and practicing teachers, this book de-mystifies the primary mathematics UK curriculum and offers a valuable reference for effective mathematicss teaching.

Inviting Writing

Author : Adam Bushnell,David Waugh
Publisher : Learning Matters
Page : 342 pages
File Size : 43,7 Mb
Release : 2017-02-27
Category : Education
ISBN : 9781526414830

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Inviting Writing by Adam Bushnell,David Waugh Pdf

With recent research findings by The National Literacy Trust indicating that 1 in 2 children enjoy writing, should primary school teachers be using it more? There are opportunities for teaching and learning writing in all subjects and all lessons. Inviting Writing supports you to find these opportunities and to plan, assess and develop children’s writing for a range of purposes in a range of styles. Chapters cover every curriculum subject and explore the unique writing opportunities for each one. It helps you to focus on teaching the skills of composition and on taking writing forward. Examples of good practice are included throughout, alongside suggestions for teaching activities. This book also outlines the many ways in which children′s writing can be evidenced and encourages you to reconsider the ways in which children′s progress in writing can be tracked and captured. This is a practical guide to teaching writing across the curriculum.

Primary Maths for Scotland First Level Problem Solving Pack

Author : Craig Lowther,Carol Lyon,Karen Hart,Linda Lapere,Michelle MacKay,Sheona Goodall
Publisher : Leckie & Leckie
Page : 216 pages
File Size : 54,9 Mb
Release : 2022-04-14
Category : Electronic
ISBN : 0008508674

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Primary Maths for Scotland First Level Problem Solving Pack by Craig Lowther,Carol Lyon,Karen Hart,Linda Lapere,Michelle MacKay,Sheona Goodall Pdf

The Problem Solving Pack supports teachers in developing children's problem solving skills within the 1st level numeracy and mathematics Curriculum for Excellence. It is a flexible resource which can be used to teach problem solving strategies and provides a ready-made bank of rich problem solving activities for children working within 1st level.

Your Primary School-based Experience

Author : Catriona Robinson,Branwen Bingle,Colin Howard
Publisher : Critical Publishing
Page : 210 pages
File Size : 54,6 Mb
Release : 2015-09-30
Category : Education
ISBN : 9781910391150

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Your Primary School-based Experience by Catriona Robinson,Branwen Bingle,Colin Howard Pdf

This book is an essential companion for all primary trainee teachers, whatever their training route. It focuses on the school-based experience and provides both practical strategies and opportunities for reflection, so trainees are challenged to critically evaluate their learning in order to improve attainment and ultimately succeed while in their school settings. The book reflects current educational policy and embraces key national priority areas including behaviour, inclusion and the teaching of phonics and early mathematics. Other chapters look at professional partnerships, planning and assessment, employability and, crucially, how to move from good to outstanding teaching. Case studies enliven the text and present a range of perspectives for consideration, while critical questions engage the reader and promote a deeper understanding of the text. This second edition of Primary School Placements has been fully revised throughout and in particular provides an increased focus on evidence-based practice and is referenced to the latest national curriculum.

Primary School Placements

Author : Catriona Robinson,Branwen Bingle,Colin Howard
Publisher : Critical Publishing
Page : 176 pages
File Size : 41,6 Mb
Release : 2013-06-28
Category : Education
ISBN : 9781909330481

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Primary School Placements by Catriona Robinson,Branwen Bingle,Colin Howard Pdf

This book is an essential companion for all primary trainees in schools, whatever their training route. It provides both practical strategies and opportunities for reflection, so trainees are challenged to critically evaluate their experiences in order to improve their attainment and ultimately succeed in placement. The book covers trainee placements from their onset through to completion, whether on a traditional training route or an alternative such as Teach First. It reflects current educational policy and embraces key national priority areas including behavior, inclusion and the teaching of phonics and early mathematics. Other chapters look at professional partnerships, planning and assessment, employability and, crucially, how to move from good to outstanding teaching. Case studies enliven the text and present a range of perspectives for consideration, while critical questions engage the reader and promote a deeper understanding of the text.

Supporting Primary Teaching and Learning

Author : Fiona Hall,Duncan Hindmarch,Douglas Hoy,Lynn Machin
Publisher : Critical Publishing
Page : 157 pages
File Size : 54,5 Mb
Release : 2015-05-08
Category : Education
ISBN : 9781909682917

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Supporting Primary Teaching and Learning by Fiona Hall,Duncan Hindmarch,Douglas Hoy,Lynn Machin Pdf

The book is aimed at all those studying on Foundation Degrees in supporting primary and early years teaching and learning, and particularly those working at levels 4 and 5. It is written in an accessible style with a focus on work-based professional development and encourages critical reflection throughout. It starts with a discussion of reflective practice, and includes helpful guidance on developing effective study skills. Each chapter then focuses on a key topic in education, learning and development, considers any relevant policies and legislation, examines educational theories in relation to professional practice and provides concise case studies to contextualise the learning. It provides up-to-date and relevant material on supporting the new national curriculum, safeguarding, SEN and inclusion issues, and schools as organisations. It also covers the competencies for Higher Level Teaching Assistants.