Exam Board: Edexcel Level: GCSE Subject: Maths First teaching: September 2015 First exams: June 2017 Guide students through the solution with worked examples. Help students focus with clear learning objectives. Keep students on track with key points to serve as reminders. Develop confidence with lots of carefully stepped practice. Support stretch with extend questions. Support revision with chapter summaries that recap key points. Check fluency and build confidence with topic tests. Support ownership of progression with self-assessment chart. Key features: Baseline Entry test (previous NC Levels 3-5 ) Progress to Foundation test to move on to the full Foundation course Flexible Scheme of Work Write-on workbook.

Scottish Heinemann Maths reflects the content of the HMI report Improving Mathematics Education 5-14. It offers a structured development of mental calculation strategies, using clear progression and continuity of topics, and increases the pace of progression.

The Effectiveness of Mathematics Teaching in Primary Schools: Lessons from England and China provides a unique insight into the mathematics classrooms of these two countries and arrives at a time when the world is eager to know how Chinese learners consistently excel at learning mathematics and other core subjects. Showcasing the kinds of teaching methods that work within and across countries, this book presents a rich collection of views, including those from teachers, their native colleagues, their foreign colleagues and the researcher, regarding the quality of mathematics teaching today. Interweaving scientific results about teaching and learning evaluations with multiple perspectives of various roles in and out of the classroom, Miao and Reynolds offer insights into how and why different approaches of teaching have led to different learning outcomes in mathematics internationally. Building on rigid and robust analyses of the most up-to-date data in England and China, the book indicates that it is through changing teaching rather than changing teachers that mathematics learning can be improved, because it is what teachers do in the classroom that really makes a big difference. Containing four decades of wisdom from the field of teaching effectiveness research, this book is essential reading for all who want to improve the quality of mathematics teaching worldwide. This book is particularly relevant for educational researchers, postgraduate students and teachers, as well as school leaders, policymakers and parents.

Achieve the best possible standard with this bestselling book of practice and guidance - now in colour First Aid in Mathematics is written in clear and concise language to provide all the help, support and practice needed to master the key topics in basic mathematics. The book contains over 1,000 carefully planned practice questions to help readers reinforce their knowledge. Revision tests are provided at the end of each chapter. First Aid in Mathematics is ideal for use in the classroom or as a reference and revision book for those wanting to improve their mathematical skills.

Developing Young Children's Mathematical Learning Outdoors provides detailed guidance and practical advice on planning mathematical experiences for young children outdoors. By examining the key features of a mathematically rich outdoor environment, it illustrates how this can motivate children in leading their own learning and mathematical thinking. Drawing upon the author's wealth of experience, the book provides support for students and early years' practitioners in developing a deeper understanding of how to plan quality experiences, which combine pedagogy with effective practice. Covering all aspects of mathematics, it identifies meaningful contexts and shows how adults can use open-ended questions and prompts to promote children's mathematical play outside. With rich case studies and reflective questions included throughout, as well as suggestions for useful resources to put the ideas in the book into practice, it is essential reading for all those that want to develop curious and creative mathematical thinkers in the early years.

Mathematics classrooms are increasingly multilingual, whether they are found in linguistically diverse societies, urban melting pots or planned bilingual programs. The chapters in this book present and discuss examples of mathematics classroom life from a range of multilingual classroom settings, and use these examples to draw out and discuss key issues for the teaching and learning of mathematics and language. These issues relate to pedagogy, students' learning, curriculum, assessment, policy and aspects of educational theory. The contributions are based on research conducted in mathematics classrooms in Europe, South Asia, North America and Australia. Recurring issues for the learning of mathematics include the relationship between language and mathematics, the relationship between formal and informal mathematical language, and the relationship between students' home languages and the official language of schooling.

The home of trusted English dictionaries and thesauruses for school use. Level: KS2 Subject: Maths This colourfully illustrated maths dictionary for children offers amazing support for the primary maths curriculum. Simple definitions of key maths terms are linked to full times table charts, weight measurements, and geometry. All of the maths concepts are clearly laid out and illustrated, making this primary maths dictionary a fun and easy way for pupils to learn maths, at Key Stage 2 and beyond! Contains full coverage of the new curriculum maths terminology Gives concise explanations of the key maths terms that pupils need Makes clear links to show how maths is used in real-life contexts Incorporates fun illustrations and colourful diagrams to help with understanding Uses alphabetical presentation for easy access Includes lots of supplements such as times tables, weight measurements and geometry

The Development of Early Childhood Mathematics Education, Volume 53 in the Advances in Child Development and Behavior series, includes chapters that highlight some of the most recent research in the field of developmental psychology. Users will find updated chapters on a variety of topics, including sections on The DREME Network: Research and Interventions in Early Childhood Mathematics, The Use of Concrete Experiences in Early Childhood Mathematics Instruction, Interventions in Early Mathematics: Avoiding Pollution and Dilution, Coaching in Early Mathematics, and Designing Studies to Test Causal Questions About Early Math: The Development of Making Pre-K Count. Each chapter provides in-depth discussions, with this volume serving as an invaluable resource for developmental or educational psychology researchers, scholars and students.

First Published in 2000. Routledge is an imprint of Taylor & Francis, an informa company.

This book offers an overview of programmes designed to support the learning of gifted and talented students in STEM subjects, both to allow them to meet their potential and to encourage them to proceed towards careers in STEM areas. The chapters from a range of national contexts report on perspectives, approaches and projects in gifted education in STEM subjects. These contributions provide a picture of the state of research and practice in this area, both to inform further research and development, and to support classroom teachers in their day-to-day work. Chapters have been written with practitioners in mind, but include relevant scholarly citations to the literature. The book includes some contributions illustrating research and practice in specific STEM areas, and others which bridge across different STEM subjects. The volume also includes an introductory theoretical chapter exploring the implications for gifted learners of how 'STEM' is understood and organized within the school curriculums.

This edited volume will help educators better analyze methodological and practical tools designed to aid classroom instruction. It features papers that explore the need to create a system in order to fully meet the uncertainties and developments of modern educational phenomena. These have emerged due to the abundance of digital resources and new forms of collective work. The collected papers offer new perspectives to a rising field of research known as the Documentational Approach to Didactics. This framework was first created by the editors of this book. It seeks to develop a deeper understanding of mathematics teaching expertise. Readers will gain insight into how to meet the theoretical questions brought about by digitalization. These include: how to analyze teachers' work when they prepare for their teaching, how to conceptualize the relationships between individual and collective work, and how to follow the related processes over the long term. The contributors also provide a comparative view in terms of contrasting selected phenomena across different educational cultures and education systems. For instance, they consider how differences in curriculum resources are available to teachers and how teachers make use of them to shape instruction. Coverage also considers the extent to which teachers make use of additional material, particularly those available through the global marketplace on the Internet. This book builds on works from the Re(s)sources 2018 Conference, Understanding teachers' work through their interactions with resources for teaching, held in Lyon, France.

When Critical Multiculturalism Meets Mathematics details the development and outcomes of a teacher professional development project that merged multiculturalism and mathematics. In six compact chapters the authors describe the impetus for their multi-year project and present rich case studies of nine teacher participants. The cases stand alone as compelling reading, yet Marshall et al. extend beyond their distinctiveness to explain the statistical data related to the project's broader impact. Emphasizing both qualitative and quantitative findings makes this book ideal for novice researchers interested in mixed method study. Likewise, the authors unveil the anatomy and a few complexities of conducting research in the real world contexts of schools including participant recruitment and resolution of unanticipated matters that can arise within research teams. A unique twist in the final chapter is Marshall et al.'s critique of their own missteps as researchers, which are used skillfully and unobtrusively to proffer tips for future studies. They conclude by theorizing affirmed intersectionality, identified as the critical element that facilitated teachers' recognition and acceptance of the compatibility between the study's two components.

Explaining and Exploring Mathematics is designed to help you teach key mathematical concepts in a fun and engaging way by developing the confidence that is vital for teachers. This practical guide focuses on improving students' mathematical understanding, rather than just training them for exams. Covering many aspects of the secondary mathematics curriculum for ages 11-18, it explains how to build on students' current knowledge to help them make sense of new concepts and avoid common misconceptions. Focusing on two main principles to improve students' understanding: spotting patterns and extending them to something new, and relating the topic being taught to something that the pupils already understand, this book helps you to explore mathematics with your class and establish a successful teacher-student relationship. Structured into a series of lessons, Explaining and Exploring Mathematics is packed full of practical advice and examples of the best way to answer frequently asked questions such as: Do two minuses really make a plus? Why doesn't 3a + 4b equal 7ab? How do you get the area of a circle? Why do the angles of a triangle add up to 180 Degrees? How can you integrate 1/x and calculate the value of e? This book will be essential reading for all trainee and practising teachers who want to make mathematics relevant and engaging for their students.

Explaining and Exploring Mathematics is designed to help you teach key mathematical concepts in a fun and engaging way by developing the confidence that is vital for teachers. This practical guide focuses on improving students' mathematical understanding, rather than just training them for exams. Covering many aspects of the secondary mathematics curriculum for ages 11-18, it explains how to build on students' current knowledge to help them make sense of new concepts and avoid common misconceptions. Focusing on two main principles to improve students' understanding: spotting patterns and extending them to something new, and relating the topic being taught to something that the pupils already understand, this book helps you to explore mathematics with your class and establish a successful teacher-student relationship. Structured into a series of lessons, Explaining and Exploring Mathematics is packed full of practical advice and examples of the best way to answer frequently asked questions such as: Do two minuses really make a plus? Why doesn't 3a + 4b equal 7ab? How do you get the area of a circle? Why do the angles of a triangle add up to 180 Degrees? How can you integrate 1/x and calculate the value of e? This book will be essential reading for all trainee and practising teachers who want to make mathematics relevant and engaging for their students.

The problem-solving activities in this book present real life problems in a realistic everyday context. The activities are based around a set of recurring characters who find themselves exposed to a range of real life problems that need to be solved; the sort of problems that students may one day encounter. Most pages include a challenge activity, usually an extension of the main problem, which will further consolidate comprehension skills. Included throughout the book are brainteaser pages which focus on a particular problem solving strategy being highlighted.

The problem-solving activities in this book present real life problems in a realistic everyday context. The activities are based around a set of recurring characters who find themselves exposed to a range of real life problems that need to be solved; the sort of problems that students may one day encounter. Most pages include a challenge activity, usually an extension of the main problem, which will further consolidate comprehension skills. Included throughout the book are brainteaser pages which focus on a particular problem solving strategy being highlighted.

The problem-solving activities in this book present real life problems in a realistic everyday context. The activities are based around a set of recurring characters who find themselves exposed to a range of real life problems that need to be solved; the sort of problems that students may one day encounter. Most pages include a challenge activity, usually an extension of the main problem, which will further consolidate comprehension skills. Included throughout the book are brainteaser pages which focus on a particular problem solving strategy being highlighted.

Exam Board: Edexcel Level: GCSE 9-1 Foundation Subject: Maths Suitable for the 2023 exams Complete revision and practice to fully prepare for the GCSE grade 9-1 exams Revision that Sticks! Collins Edexcel GCSE 9-1 Maths Foundation Complete All-in-One Revision and Practice uses a revision method that really works: repeated practice throughout. A revision guide, workbook and practice paper in one book! With clear and concise revision for every topic, plus seven practice opportunities, Collins offers the best revision at the best price. For even more practice QR codes link directly from the topics in the revision guide to online interactive quick recall quizzes and to worked solution videos in the workbook. Includes: * grading guidance on the page to indicate different levels * quick tests as you go * end-of-topic practice questions * topic review questions later in the book * mixed practice questions at the end of the book * more topic-by-topic practice in the workbook * a complete exam-style paper * online quick recall quizzes for every topic * online video solutions for every topic * free Q&A flashcards to download online * free ebook version

For too many students, mathematics consists of facts in a vacuum, to be memorized because the instructor says so, and to be forgotten when the course of study is completed. In this all-too-common scenario, young learners often miss the chance to develop skills-specifically, reasoning skills-that can serve them for a lifetime. The elegant pages of Teaching Mathematical Reasoning in Secondary School Classrooms propose a more positive solution by presenting a reasoning- and discussion-based approach to teaching mathematics, emphasizing the connections between ideas, or why math works. The teachers whose work forms the basis of the book create a powerful record of methods, interactions, and decisions (including dealing with challenges and impasses) involving this elusive topic. And because this approach shifts the locus of authority from the instructor to mathematics itself, students gain a system of knowledge that they can apply not only to discrete tasks relating to numbers, but also to the larger world of people and the humanities.

A sampling of the topics covered:

• Whole-class discussion methods for teaching mathematics reasoning.
• Learning mathematical reasoning through tasks.
• Teaching mathematics using the five strands.
• Classroom strategies for promoting mathematical reasoning.
• Maximizing student contributions in the classroom.
• Overcoming student resistance to mathematical conversations.

Teaching Mathematical Reasoning in Secondary School Classrooms makes a wealth of cutting-edge strategies available to mathematics teachers and teacher educators. This book is an invaluable resource for researchers in mathematics and curriculum reform and of great interest to teacher educators and teachers.

A teachers' book for maths covering 'Mathematics in Nature', 'Pythagoras and Numbers', 'Platonic Solids' and 'Rhythm and Cycles'. Includes full colour illustrations and diagrams throughout. A resource for Steiner-Waldorf teachers for maths for Class 7 (age 12-13) and Class 8 (age 13-14). This book is a combined edition of Mathematics Around Us (for Class 7) and Mathematics in Space and Time (for Class 8).

These practice papers are designed to be completed after our 11+ Maths workbooks and short testbooks. They should be used as learning reinforcement and are essential for exam preparation. Each practice paper simulates the format and content of the 11+ exam and may be completed as a standard or multiple-choice test. Each test should take about 50 minutes, however it is more important that a child completes the test accurately and does not rush. Children will speed up naturally with practice.