Master essential skills and boost progress in A-level Maths with extra support and practice for every topic. This book provides structured guidance through clear explanations, worked examples and practice questions. - Improve understanding with clear explanations, worked examples and links that highlight relationships between topics - Put skills into practice and check understanding with skills-focused and problem-solving questions, plus carefully structured multiple-choice questions with detailed answers online that explain each correct and incorrect answer - Build confidence and develop awareness of potential misconceptions with 'Be the examiner' exercises - Learn to apply GCSE knowledge to A-level concepts with questions that bridge the gap between Key Stages 4 and 5 - Identify and avoid common mistakes with worked solutions in the back of the book - Develop advanced calculator skills with links to extra online material designed to enhance understanding and develop checking strategies using a graphical calculator

Exam Board: AQA Level: GCSE Subject: Maths First teaching: September 2015 First exams: June 2017 Revise smart and save! Our Revision Workbook for the new AQA GCSE Mathematics specification helps you develop vital skills throughout your course in preparation for the exams with: One-to-one page match with the corresponding Revision Guide so you can find the practice you need quickly and easily Guided practice questions on every page demonstrate good technique and build confidence Loads of practice questions in the style of the new exams, with plenty of practice at problem-solving and reasoning skills Hints and tips helps you avoid common pitfalls A full set of practice papers written to match the new specification exactly

With small steps and our carefully crafted questions, every pupil will achieve greater progress. Designed to be used flexibly, this second edition textbook has been updated to include more Mastery-style questions and whole-class activities. Whether you follow a full Mastery scheme, choose to use Mastery aspects or you're just looking for quality resources, our three textbooks support the way you want to teach. Each book gradually builds on prior knowledge, developing pupils' confidence, fluency, reasoning and problem-solving skills. * Secure understanding with differentiated questions and worked examples that follow the 'do it, secure it, deepen it' Mastery structure, building on prior knowledge from Book 2 * Target key skills using the fluency, reasoning and problem-solving markers in the margin * Build confidence with starter activities and warm-up questions to introduce each concept * Develop reasoning skills using non-examples, where pupils identify mistakes in sample answers * Track progress through review questions, building key skills and knowledge so students will be prepared for the next step up to GCSE * Benefit from the expertise of UK Mastery trained subject specialists with over 30 years of teaching experience * Cover the full UK National Curriculum and all four strands - number, algebra, geometry and measures, statistics and probability - within our three restructured textbooks for Key Stage 3 Our flexible, Mastery-led approach Our flexible approach allows you to teach maths your way. You can choose to focus on building understanding using the graduated questions or take a Mastery approach to exposition using manipulatives and 'concrete, pictorial, abstract' in the optional class activities. Answers will be provided online.

This book documents ongoing research and theorizing in the sub-field of mathematics education devoted to the teaching and learning of mathematical modelling and applications. Mathematical modelling provides a way of conceiving and resolving problems in people's everyday lives as well as sophisticated new problems for society at large. Mathematical tradition in China that emphasizes algorithm and computation has now seen a renaissance in mathematical modelling and applications where China has made significant progress with its economy, science and technology. In recent decades, teaching and learning of mathematical modelling as well as contests in mathematical modelling have been flourishing at different levels of education in China. Today, teachers and researchers in China become keener to learn from their colleagues from Western countries and other parts of the world in research and teaching of mathematical modelling and applications. The book provides a dialogue and communication between colleagues from across the globe with new impetus and resources for mathematical modelling education and its research in both West and East with new ideas on modelling teaching and practices, inside and outside classrooms. All authors of this book are members of the International Community of Teachers of Mathematical Modelling and Applications (ICTMA), the peak research body into researching the teaching, assessing and learning of mathematical modelling at all levels of education from the early years to tertiary education as well as in the workplace. The book is of interest to researchers, mathematics educators, teacher educators, education administrators, policy writers, curriculum developers, professional developers, in-service teachers and pre-service teachers including those interested in mathematical literacy.

This title has been endorsed by Cambridge Assessment International Education Encourage reflection and self-assessment with write-in workbooks full of varied independent activities for extra practise both in the classroom and at home. - Deepen learner knowledge and challenge mathematical understanding with activities designed to show understanding of each topic. - Give learners the chance to critique their work with discussion activities integrated within wider tasks. - Successfully cover all learning objectives in the Cambridge Primary Maths curriculum framework.

Target Grade 7 workbooks build skills from Grade 6 and extend into Grade 8 to catch up, keep up and make expected progress in GCSE (9-1) Mathematics. Target's unique approach tackles the key misconceptions and barriers identified at each grade level to build essential exam skills for success. Each unit breaks down mathematical concepts into the core components to tackle misunderstandings at the root, add depth to knowledge and build confidence. After checking their basic knowledge and boosting skills, students can test their knowledge with exam-style questions and problem-solving exercises. The workbooks also includes a glossary, useful formulae and an answers section to support independent working both in and out of the classroom. Exam Board: Pearson Edexcel Level: GCSE (9-1) Subject: Mathematics First Teaching: September 2015 First Exams: June 2017 Part of the Target Edexcel GCSE (9-1) Mathematics series: Target Grade 3 Algebra and Shape Target Grade 3 Number and Statistics Target Grade 5 Number and Algebra Target Grade 5 Shape and Statistics Target Grade 7 Algebra and Shape Target Grade 7 Numbers and Statistics Target Grade 9 Algebra Target Grade 9 Algebraic Techniques, Shape and Statistics Target workbooks make the perfect partner to the GCSE (9-1) Revise! series.

Standards in the American education system are traditionally handled on a state-by-state basis, which can differ significantly from one region of the country to the next. Recently, initiatives proposed at the federal level have attempted to bridge this gap. Common Core Mathematics Standards and Implementing Digital Technologies provides a critical discussion of educational standards in mathematics and how communication technologies can support the implementation of common practices across state lines. Leaders in the fields of mathematics education and educational technology will find an examination of the Common Core State Standards in Mathematics through concrete examples, current research, and best practices for teaching all students regardless of grade level or regional location. This book is part of the Advances in Educational Technologies and Instructional Design series collection.

Our revision resources are the smart choice for those revising for Edexcel GCSE (9-1) Mathematics. This book contains two full-length samples of Papers 1, 2 and 3. Prepare for your exam by familiarising yourself with the approach of the papers and the exam-style questions Practice answering questions by writing straight into the book just as you would in an exam Perfect your responses with targeted hints, guidance and support for every question, including fully worked solutions Scan the QR codes in the book to see videos of worked solutions online!

REVISE KEY STAGE 2 SATS NUMBER, RATIO AND ALGEBRA TARGETED PRACTICE BOOK Our revision resources are the smart choice for those revising for the Year 6 National Tests. This book will help you to: Organise your study with a one-topic-per-page format Speed up your study with helpful hints Track your progress with at-a-glance check boxes Make sure that you have prepared for every topic covered in the tests with the accompanying Revision Guides and Workbooks.

Underpinned by the most effective teaching practices, and created by a team of mastery experts led by Series Editor Tony Staneff, Power Maths is designed to make the whole-class mastery teaching approach work for you, your children and your school. The Power Maths Teacher Guides provide expert support for your day-to-day teaching, and offer opportunities for reflection and continual professional development. Provides guidance on using the Textbooks and Practice Books, explaining how they support a mastery approach. Support with key strategies such as modelling a growth mindset, assessing mastery, speedy same-day intervention, C-P-A approaches and using key mathematical structures and representations. Focused unit-level support for each mathematical concept within the Power Maths progression, including important structures and representations, key language, common misconceptions and intervention strategies. Specific advice and commentary for each pupil book page - including insight into why tasks and exercises have been selected, and how to strengthen and deepen learning. Templates for teacher reflection, lesson study, and tracking pupil progress.

Reform-based mathematics has become a popular topic in the education field as this teaching emphasizes classroom discourse and instructional goals related to student engagement and an understanding of mathematical reasoning, concepts, and procedures using instructional practices that build on students' informal knowledge of mathematics. It also connects mathematics with other disciplines and the real world and provides opportunities for students to contribute and invent their own methods during problem-solving. Further study on the best practices, benefits, and challenges of implementing this teaching into education is required. Global Perspectives and Practices for Reform-Based Mathematics Teaching explores international perspectives on diverse reform-based practices in teaching and learning mathematics, describes challenges and issues for teachers and teacher educators, promotes reflection and academic discussion at various levels and in various educational systems, and raises questions for the field of mathematics education. Covering a range of topics such as teacher preparation programs and integrated learning spaces, this reference work is ideal for academicians, practitioners, researchers, instructors, educators, and students.

Answers are printed in a separate book (9781841464848) - or you can buy a version including answers all in one workbook (9781841460383). This CGP Workbook is packed with practice questions for Key Stage Three Maths. It's ideal for students working at a higher level, with a huge range of skill-building questions for every topic.

Study & Master Mathematics has been especially developed by an experienced author team for the Curriculum and Assessment Policy Statement (CAPS). This new and easy-to-use course helps learners to master essential content and skills to build their Mathematics knowledge. Study & Master Mathematics Grade 1 has 3 core components: A Learner's Book, Workbook and Teacher's Guide. The comprehensive Learner's Book provides: * graded activities that develop learners' skills and understanding in each of the content areas specified by the CAPS document. * examples and activities based on learners' own experiences.

This text provides thorough coverage of algebra and number, carefully graded exercises to give pupils all the practice they need, and clear explanations of mathematical ideas to help understand them.

Geometry has never been funnier! Green, funny aliens will help children to master the knowledge of shapes, formulas and figures. A new, entertaining activity book to challenge young readers joins the worldwide successful "Mad for Math" series with a collection of fun games based on geometry - which can really be fun! Children can be challenged with games of growing complexity throughout this activity book - and all answers can be found at the end. A didactic and educational, yet entertaining book which teaches children that you can not only play with geometry...but also to have fun with it! Includes 8 pages of stickers

A volume in Research in Mathematics Education Series Editor Barbara J. Dougherty, University of Mississippi This volume investigates the evolution of the geometry curriculum in the United States over the past 150 years. A primary goal is to increase awareness of the nature of the current geometry curriculum by investigating the historical, mathematical and pedagogical influences that it has sustained since its inception. Given the limited access to first-hand accounts of the enacted geometry curriculum during the past 150 years, the book relies on textbooks to provide a record of the implemented curriculum at any given point in time and on policy documents and journal articles to provide insight into the prevalent issues and arguments of the day. The book is organized in a chronological sequence of ""notable events"" leading to discernable changes in thinking about the geometry curriculum over the past century and a half-roughly the extent of time during which geometry has been taught in American schools. Notable events include important reports or commissions, influential texts, new schools of thought, and developments in learning technologies.These events affected, among other things: content and aims of the geometry curriculum; the nature of mathematical activity as construed by both mathematicians and mathematics educators; and, the resources students are given for engaging in mathematical activity. Before embarking through the notable events, it is necessary to consider the ""big bang"" of geometry, namely the moment in time that shaped the future life of the geometry curriculum. This corresponds to the emergence of Euclidean geometry. Given its influence on the shape of the geometry curriculum, familiarity with the nature of the geometry articulated in Euclid's Elements is essential to understanding the many tensions that surround the school geometry curriculum. Several themes emerge over the course of the monograph, and include: the aims and means of the geometry curriculum, the importance of proof in geometry, the role of visualization and tactile experiences, the fusion between solid and plane geometry, the curricular connections between geometry and algebra, and the use of motion and continuity. The intended audience would include curriculum developers, researchers, teachers, and curriculum supervisors.

Abacus is a unique maths toolkit for inspiring a love of maths and ensuring progression for every child. Written by an expert author team, it has been carefully crafted on a robust approach to creating inspired and confident young mathematicians. Year 3 Mastery Checkpoints 34 short activities, to be used throughout the school year Designed to help you check mastery of key concepts straight after teaching, enabling quick intervention for those children who need it 'Have you mastered...?' questions aim to assess mastery of the relevant outcome 'Champions' Challenge' questions aim to assess whether some children have achieved mastery with greater depth 'My Learning' pages provide opportunities for children to reflect on their learning

A Volume in The Montana Mathematics Enthusiast: Monograph Series in Mathematics Education Series Editor Bharath Sriraman, The University of Montana The name of Zoltan P. Dienes (1916-) stands with those of Jean Piaget and Jerome Bruner as a legendary figure whose theories of learning have left a lasting impression on the field of mathematics education. Dienes' name is synonymous with the Multi-base blocks (also known as Dienes blocks) which he invented for the teaching of place value. He also is the inventor of Algebraic materials and logic blocks, which sowed the seeds of contemporary uses of manipulative materials in mathematics instruction. Dienes' place is unique in the field of mathematics education because of his theories on how mathematical structures can be taught from the early grades onwards using multiple embodiments through manipulatives, games, stories and dance. Dienes' notion of embodied knowledge presaged other cognitive scientists who eventually came to recognize the importance of embodied knowledge and situated cognition - where knowledge and abilities are organized around experience as much as they are organized around abstractions. Dienes was an early pioneer in what was later to be called sociocultural perspectives and democratization of learning. This monograph compiled and edited by Bharath Sriraman honors the seminal contributions of Dienes to mathematics education and includes several recent unpublished articles written by Dienes himself. These articles exemplify his principles of guided discovery learning and reveal the non-trivial mathematical structures that can be made accessible to any student. The monograph also includes a rare interview with Dienes in which he reflects on his life, his work, the role of context, language and technology in mathematics teaching and learning today. The book finds an important place in any mathematics education library and is vital reading for mathematics education researchers, cognitive scientists, prospective teachers, graduate students and teachers of mathematics.

Algebra in the Middle Grades addresses topics that are formalized in the first half of an Algebra 1 course, focusing on linear equations, their graphs and their applications to problem solving. The book is intended to be used by students in the middle school in preparation for the formal study of Algebra 1. In this, it is a truly Pre-Algebra program. Algebra in the Middle Grades is an approach that brings Algebra to the students. It is written to have the essential elements of Algebra be understood on an inductive level so that when students later address the topic formally, there will be an informal background to create deep understanding. The approach is extremely visual using both algebra tile-type diagrams along with graphs for equations and grids for ratio. In this way, the text gives students 3 aspects of a topic, the Numerical, the Geometric and the Algebraic. The text places the Numerical and Geometric first having understanding in these contexts leading to understanding in an Algebraic, symbolic context.

This book examines the mathematical difficulties in typical and atypical populations. It discusses the behavioural, educational and neuropsychological characteristics of people with mathematical difficulties, and educational interventions to prevent, diagnose, treat or ameliorate such difficulties. The book brings together studies from different disciplines, including developmental psychology, neuroscience and education, and includes perspectives from practicing teachers.
The book is divided into three major sections. The first includes chapters about the nature and characteristics of mathematical difficulties in the population as a whole, in relation to both psychology and education. The second deals with mathematical difficulties in children with other problems such as specific language impairment and dyslexia. The third discusses methods of interventions aimed at preventing, treating or ameliorating mathematical difficulties, and will include discussions of assessment and diagnosis.