This superb in-depth Student Book is ideal for Year 7 Maths students and perfect for independent study! It's packed with detailed, accessible notes, backed up with fully worked examples. Each section starts with a prior knowledge check and is rounded off with a review exercise - just the thing for recapping all of the content students have learnt. Plenty of practice questions, including challenge questions, are included throughout, complete with worked solutions. We've even included learning objectives for each topic, a glossary and a topic map to show which topics appear in each KS3 book. What's more, we've thrown in a free Online Edition that lets you read the entire book on a PC, Mac or tablet - you'll have access via 'My Online Products' on the CGP website from the moment you place your order. When the book arrives, just use the unique code printed inside the cover to gain full access. Looking for more unbeatable Year 7 Maths practice? Check out our Year 7 Targeted Workbook (9781789083163) and Year 7 Weekly Workouts (9781789085747).

Combinatorics and Reasoning: Representing, Justifying and Building Isomorphisms is based on the accomplishments of a cohort group of learners from first grade through high school and beyond, concentrating on their work on a set of combinatorics tasks. By studying these students, the editors gain insight into the foundations of proof building, the tools and environments necessary to make connections, activities to extend and generalize combinatoric learning, and even explore implications of this learning on the undergraduate level. This volume underscores the power of attending to basic ideas in building arguments; it shows the importance of providing opportunities for the co-construction of knowledge by groups of learners; and it demonstrates the value of careful construction of appropriate tasks. Moreover, it documents how reasoning that takes the form of proof evolves with young children and discusses the conditions for supporting student reasoning.

This series has been endorsed by Cambridge Assessment International Education. Practise and consolidate knowledge gained from the Student's Book with this write-in workbook full of corresponding learning activities. Practise and consolidate knowledge gained from the Student's Book with this write-in workbook full of corresponding learning activities. - Save time when planning with ready-made homework or extension exercises. - Reinforce student's understanding of key mathematical concepts with varied question types, knowledge quizzes and the use of ICT. - Challenge learners with extra practice activities to encourage regular self-assessment.

Eminent scholars from around the globe gathered to discuss how educational systems would change if the prevailing principles of constructivism were applied to three major aspects of those systems -- knowledge and learning, communication, and environment. This volume provides documentation of the proceedings of this important meeting - - the Early Childhood Action Group of the Sixth International Congress on Mathematics Education.
This international assembly, representing such diverse disciplines as mathematics and math education, epistemology, philosophy, cognitive science, psycholinguistics, and science education, is the first to examine early childhood mathematics education from constructivist and international perspectives in addition to formulating recommendations for future work in the field.

The series Mental Maths develops children's ability to understand number problems and to use their knowledge to resolve these problems confidently and logically. Mental Maths Book 2 covers: counting and ordering numbers to 100, patterns and sequences, counting money and calculating change, 2-D and 3-D shapes, tens and units; addition/subtraction of 2-digit numbers, time problems, estimating and measuring and multiples of 2/5/10.

NHM Year 5 Textbook: Uses language at an appropriate reading level. Places maths in a variety of contexts. Provides problem-solving activities. Reinforces and extends your pupils' fluency in number facts and mental calculation strategies.

Rapid Maths is the ideal way to help struggling learners catch up with their peers in maths. With lots of variety plus software and games, Rapid Maths makes catch-up fun and gives each child personalised support and repeated practice in the fundamentals of numeracy. Plus, it's proven to double children's progress in number skills. Helps children master basic number skills to enable them to access the curriculum. Clear layout and a concrete-pictorial-abstract approach helps to support struggling learners. Gradual spiral progression in number skills to aid confidence. Varied and engaging 'real life' maths activities. Time saving and accessible teacher and TA resources. Ideal for home learning. Home workbook where children can practise what they have learnt.

Arithmetic Ninja for Ages 9-10 is the essential photocopiable maths resource for every Year 5 classroom from Andrew Jennings, the creator of Vocabulary Ninja, Comprehension Ninja and Write Like a Ninja. Split into 38 weeks, this book features over 680 question cards and is fully aligned to the Key Stage 2 National Curriculum for mathematics. With activities for each day of the week plus a bonus challenge, this book is the perfect resource for daily maths practice and quick lesson starters. The exercises in this book get progressively harder each week, and are divided into three Ninja levels to ensure differentiation. There are answers at the back to help with marking and cutting lines on each page so the activities can easily be cut out and stuck in exercise books. Perfect for SATs preparation, the multiplication tables check and mental maths practice, this book is ideal for busy primary teachers who only want to visit the photocopier once a week. The resources are flexible and high-quality, and will ensure all pupils are maths Ninjas by the end of the year. For more must-have Ninja books by Andrew Jennings (@VocabularyNinja), check out Vocabulary Ninja, Comprehension Ninja, Write Like a Ninja and Times Tables Ninja.

Arithmetic Ninja for Ages 6-7 is the essential photocopiable maths resource for every Year 2 classroom from Andrew Jennings, the creator of Vocabulary Ninja, Comprehension Ninja and Write Like a Ninja. Split into 38 weeks, this book features over 680 question cards and is fully aligned to the Key Stage 1 National Curriculum for mathematics. With activities for each day of the week plus a bonus challenge, this book is the perfect resource for daily maths practice and quick lesson starters. The exercises in this book get progressively harder each week, and are divided into three Ninja levels to ensure differentiation. There are answers at the back to help with marking and cutting lines on each page so the activities can easily be cut out and stuck in exercise books. Perfect for SATs preparation, the multiplication tables check and mental maths practice, this book is ideal for busy primary teachers who only want to visit the photocopier once a week. The resources are flexible and high-quality, and will ensure all pupils are maths Ninjas by the end of the year. For more must-have Ninja books by Andrew Jennings (@VocabularyNinja), check out Vocabulary Ninja, Comprehension Ninja, Write Like a Ninja and Times Tables Ninja.

Arithmetic Ninja for Ages 5-6 is the essential photocopiable maths resource for every Year 1 classroom from Andrew Jennings, the creator of Vocabulary Ninja, Comprehension Ninja and Write Like a Ninja. Split into 38 weeks, this book features over 680 question cards and is fully aligned to the Key Stage 1 National Curriculum for mathematics. With activities for each day of the week plus a bonus challenge, this book is the perfect resource for daily maths practice and quick lesson starters. The exercises in this book get progressively harder each week, and are divided into three Ninja levels to ensure differentiation. There are answers at the back to help with marking and cutting lines on each page so the activities can easily be cut out and stuck in exercise books. Perfect for SATs preparation, the multiplication tables check and mental maths practice, this book is ideal for busy primary teachers who only want to visit the photocopier once a week. The resources are flexible and high-quality, and will ensure all pupils are maths Ninjas by the end of the year. For more must-have Ninja books by Andrew Jennings (@VocabularyNinja), check out Vocabulary Ninja, Comprehension Ninja, Write Like a Ninja and Times Tables Ninja.

Build key fluency, reasoning and problem-solving skills with extra practice. This book is packed with questions that take small steps to enable sustained progress and is perfect for intervention. - Develop knowledge and understanding with practice questions that get progressively more difficult following a Mastery approach to learning - Support pupils with helpful reminders and explanations alongside hints for trickier questions - Help to engage pupils with questions that relate maths to outside of the classroom and plenty of colourful images - Enable home learning with answers available online

This Textbook contains hundreds of practice questions for Key Stage Three Maths (ages 11-14) - it's Book 3 in a range of three books that cover the entire KS3 Maths curriculum. Book 3 covers the most challenging KS3 material plus some extension topics that go beyond KS3, making it ideal for students who are confident in their Maths skills. Along with the questions, there are thought-provoking investigation tasks for each topic, and there's a glossary at the back that explains all the crucial maths terminology. Answers to every question are printed in a separate book (see 9781782941637). If you'd prefer to use this Textbook on a PC, Mac or tablet, digital Online Editions are also available, either with answers included (9781782941699) or without answers (9781782941668).

This CGP Workbook (including answers) 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 and answers at the back. A matching KS3 Maths Study Guide is also available - see 9781841460307.

Note that the Floris Books editions of Jamie York's books have been completely revised for UK and European notation, language and metric systems. They are also suitable for use in South Africa, Australia and New Zealand. Experienced maths teacher and consultant Jamie York believes that a love of learning comes through the teacher, so his books are committed to supporting teachers in developing their classroom skills and to fostering a love of maths in their students. Unlike conventional maths textbooks, his books are not full of fancy graphics and contrived ways to make maths fun. Rather, they: -- focus on the essentials, so teachers aren't overwhelmed by endless lists of required material -- are genuinely interesting and challenging, sparking students' enthusiasm for learning maths -- are developmentally appropriate to the age of the child, thereby encouraging inner mathemetical awareness and thinking -- favour depth over superficiality, to avoid teaching blind procedures to solve meaningless problems This teachers' resource book for Classes 1 to 5 provides a direct and logical approach to teaching 6 to 11-year-olds maths. Each class level and topic provides numerous tried and tested examples and explanations. The book includes: Class 1: Roman numerals, quality of numbers, counting, number dictations, developing a sense of number, beginning calculations and more. Class 2: estimating, place value, addition and subtraction facts, times/division tables, four arithmetic processes, time orientation, wonder of numbers and more. Class 3: numbers up to 1000, arithmetic facts, vertical addition, subtraction, multiplication and division, working horizontally, measurement and more. Class 4: greatest common factors, least common multiples, challenging multiplication facts, two- and three-digit multipliers, measurement, fractions and more. Class 5: arithmetic with fractions, decimal fractions, measurement, geometry, wonder of numbers, review and consolidation of Classes 1-4 and more.

The combined impact of linguistic, cultural, educational and cognitive factors on mathematics learning is considered in this unique book. By uniting the diverse research models and perspectives of these fields, the contributors describe how language and cognitive factors can influence mathematical learning, thinking and problem solving. The authors contend that cognitive skills are heavily dependent upon linguistic skills and both are critical to the representational knowledge intimately linked to school achievement in mathematics.

NHM Year 2 Activity Books: Have built-in assessment. Provide a structured development of each separate topic. Use language at an appropriate reading level. Place maths in a variety of contexts. Lead more able children through a range of problem-solving activities.

This book contributes to both mathematical problem solving and the communication of mathematics by students, and the role of personal and home technologies in learning beyond school. It does this by reporting on major results and implications of the Problem@Web project that investigated youngsters' mathematical problem solving and, in particular, their use of digital technologies in tackling, and communicating the results of their problem solving, in environments beyond school. The book has two focuses: Mathematical problem solving skills and strategies, forms of representing and expressing mathematical thinking, technological-based solutions; and students and teachers perspectives on mathematics learning, especially school compared to beyond-school mathematics.

We live in an increasingly technological and information-rich world. Education is focusing more on enquiry and skills-based approaches. Students, even at the early levels of schooling, are expected to develop a range of skills, including problem solving skills. Creative thinking, using information appropriately and problem solving are important for students in the school curriculum and in daily life. This book will help students learn how to apply mathematical skills in different contexts and explain how they got to their solutions. This book is easy for parents and teachers to use, and teaches multiple strategies for solving problems, using challenging but supportive contexts. The approach is underpinned by the Five E's approach to learning. The course will help student to: * Engage with problems meaningfully * Explore different options for approaching and solving problems * Explain their thought processes * Elaborate on their working and processes and see connections between different areas of mathematics * Evaluate what worked and what didn't, learning from mistakes as well as successes

What does it mean to have a visual representation of a mathematical object, concept, or process? What visualization strategies support growth in mathematical thinking, reasoning, generalization, and knowledge? Is mathematical seeing culture-free? How can information drawn from studies in blind subjects help us understand the significance of a multimodal approach to learning mathematics? Toward a Visually-Oriented School Mathematics Curriculum explores a unified theory of visualization in school mathematical learning via the notion of progressive modeling. Based on the author's longitudinal research investigations in elementary and middle school classrooms, the book provides a compelling empirical account of ways in which instruction can effectively orchestrate the transition from personally-constructed visuals, both externally-drawn and internally-derived, into more structured visual representations within the context of a socioculturally grounded mathematical activity. Both for teachers and researchers, a discussion of this topic is relevant in the history of the present. The ubiquity of technological tools and virtual spaces for learning and doing mathematics has aroused interest among concerned stakeholders about the role of mathematics in these contexts. The book begins with a prolegomenon on the author's reflections on past and present visual studies in mathematics education. In the remaining seven chapters, visualization is pursued in terms of its role in bringing about progressions in mathematical symbolization, abduction, pattern generalization, and diagrammatization. Toward a Visually-Oriented School Mathematics Curriculum views issues surrounding visualization through the eyes of a classroom teacher-researcher; it draws on findings within and outside of mathematics education that help practitioners and scholars gain a better understanding of what it means to pleasurably experience the symmetric visual/symbolic reversal phenomenon - that is, seeing the visual in the symbolic and the symbolic in the visual."

Exam board: SQA Level: Higher Subject: Mathematics First teaching: September 2018 First exam: Summer 2019 Practice makes permanent. Feel confident and prepared for the SQA Higher Maths exam with this two-in-one book, containing practice questions for every topic, plus two full practice papers - all written by an experienced examiner. - Choose which topics you want to revise: A simple grid enables you to pick particular areas of the course that you want to answer questions on, with solutions provided at the back of the book - Remember more in your exam: Repeated and extended practice of calculator and non-calculator questions will improve your algebraic, trigonometric, geometric, calculus and reasoning skills - Familiarise yourself with the exam papers: Both practice papers mirror the language and layout of the real SQA papers; complete them in timed, exam-style conditions to increase your confidence before the exams - Find out how to achieve a better grade: Answers to the practice papers have commentaries for each question, with tips on writing successful answers and avoiding common mistakes Fully up to date with SQA's requirements The questions, mark schemes and guidance in this practice book match the requirements of the revised SQA Higher Maths specification for examination from 2019 onwards.

The Numeracy Kit Teacher's Guide is an updated, OBE version of The Little Library Reading Kit. The Reading Kit, which is well known and much loved by teachers, has been successfully used in schools for the last 10 years. The Guide contains 60 readers (five copies of 12 story books), plus a big book of each story for class reading, 12 colourful posters and this new Teacher's Guide which provides helpful ideas for teaching each story. It keeps eight of the best stories from the Reading Kit and introduces four new ones - all of them trialled in classrooms around the country. The Guide is a wonderful resource for Foundation Phase teachers. This brand-new Teacher's Guide has the following features: preparation and teaching ideas for each story Learning Outcomes and cross-curricular links activity pages that you can photocopy a translation of each story in all the official languages"

This book offers fresh insight and understanding of the many ways in which children, youth and adults may find their paths to mathematics. The chapters of the volume offer and analyse promising new ways into mathematics. The focus is on spaces and modalities of learning, dialogue and inquiry, embodiment and aesthetic experience, information and communication technology and on the use of mathematics in public communication. The chapters present new mathematical activities and conceptions enriching the repertoire of mathematics education practices. Critical commentaries discuss the innovative potential of the new approaches to the teaching and learning of mathematics. As a consequence, the commentaries point to requirements and open issues in the field of research in mathematics education.The volume is remarkably international. Teachers and researchers from 14 countries authored 21 chapters and 7 commentaries. The reader is invited to reflect on the particular effect of presenting avenues to mathematics contrived in diverse national settings in which the praxis of mathematics education might look different compared to what happens in the reader's place. The book starts a series of sourcebooks edited by CIEAEM, the Commission Internationale pour l'Etude et l'Amelioration de l'Enseignement des Mathematiques / International Commission for the Study and Improvement of Mathematics Education.