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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.
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.
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.
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.
Note: This is the loose-leaf version of Teaching Secondary Mathematics and does not include access to the Pearson eText. To order the Pearson eText packaged with the loose-leaf version, use ISBN 0133783677. Teaching Secondary Mathematics, 9/e combines methods of teaching mathematics, including all aspects and responsibilities of the job, with a collection of enrichment units appropriate for the entire secondary school curriculum spectrum to give teachers alternatives for making professional judgments about their teaching performance–and ensuring effective learning. The book is divided into two parts designed to ensure effective teaching and learning: Part I includes a focus on the job of teaching mathematics and Part II includes enrichment activities appropriate for the entire secondary school curriculum. Both the Common Core State Standards and The National Council of teachers of Mathematics Principles and Standards for School Mathematics are referred to throughout the book. The new Ninth Edition features an alignment with the Common Core State Standards (CCSS), with special focus on the mathematical practices, an updated technology chapter that shows how current tools and software can be used for teaching mathematics, and an updated chapter on assessment showing show to provide targeted feedback to advance the learning of every student.
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.
This engaging open access book discusses how a values and valuing perspective can facilitate a more effective mathematics pedagogical experience, and allows readers to explore multiple applications of the values perspective across different education systems. It also clearly shows that teaching mathematics involves not only reasoning and feelings, but also students’ interactions with their cultural setting and each other. The book brings together the work of world leaders and new thinkers in mathematics educational research to improve the learning and teaching of mathematics. Addressing themes such as discovering hidden cultural values, a multicultural society and methodological issues in the investigation of values in mathematics, it stimulates readers to consider these topics in cross-cultural ways, and offers suggestions for research and classroom practice. It is a valuable resource for scholars of mathematics education, from early childhood through to higher education and an inspiring read for all mathematics teachers.
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.
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.
′What a super book! It is absolutely packed with practical ideas and activities to help you love maths, and love teaching and/or learning it. It certainly helps to develop an enthusiasm for a subject most adults tend to say "I′m no good at..."′ - Early Years Educator ‘A wonderful book, packed with practical ideas and activities to help all students love maths.’ - Jo Boaler, Professor of Mathematics Education, Stanford University Fostering an enthusiasm for mathematics in young children is a vital part of supporting their mathematical development. Underpinned by subject and pedagogical knowledge, case studies and research-based perspectives, the authors provide clear guidance on how to support young children′s learning and understanding in an effective and engaging way. Contemporary approaches to developing essential mathematical learning for young children are explored, including: play, practical activities and talk for mathematics outdoor learning understanding pattern counting, calculation and place value measures and shape problem solving and representing mathematics assessment working with parents. Written for both trainees and practitioners working with children aged 0 to 8 years, including those studying for Early Years and Early Childhood degrees and those on Primary PGCE and Primary Education courses, this book offers mathematical subject knowledge and teaching ideas in one volume. Helen Taylor is Course Leader of PGCE Primary Part-time Mathematics at Canterbury Christ Church University. Andrew Harris is Course Leader of PGCE Modular Mathematics at Canterbury Christ Church University.