How to Sparkle at Counting to 10 contains a wealth of high interest activities and games which will enable children to develop a thorough understanding of numbers to 10. The photocopiable sheets cover one-to-one matching, cardinal and ordinal numbers, patterns in counting and more/fewer than.

Design effective, learner-driven math interventions with this accessible and thought-provoking guidebook. Learn how to set up instruction to promote participation and understanding, plan purposeful, targeted tasks, develop student thinking, and create tools to assess student work in a way that measures learning, not just performance. Chapters explore questions that educators frequently struggle with when designing interventions, offering user-friendly research and evidence-based strategies to help overcome common hurdles. This book is essential reading for anyone seeking an adaptive approach to Tier 2 and 3 interventions that positions struggling students as competent learners.

Design effective, learner-driven math interventions with this accessible and thought-provoking guidebook. Learn how to set up instruction to promote participation and understanding, plan purposeful, targeted tasks, develop student thinking, and create tools to assess student work in a way that measures learning, not just performance. Chapters explore questions that educators frequently struggle with when designing interventions, offering user-friendly research and evidence-based strategies to help overcome common hurdles. This book is essential reading for anyone seeking an adaptive approach to Tier 2 and 3 interventions that positions struggling students as competent learners.

If you were a quadrilateral, you would have four straight sides. You could be a checkerboard, a kite, or a yoga mat. What else could you be if you were a quadrilateral?

Guided Math Lessons in First Grade provides detailed lessons to help you bring guided math groups to life. Based on the bestselling Guided Math in Action, this practical book offers 16 lessons, taught in a round of 3-concrete, pictorial, and abstract. The lessons are based on the priority standards and cover fluency, word problems, operations and algebraic thinking, and place value. Author Dr. Nicki Newton shows you the content as well as the practices and processes that should be worked on in the lessons, so that students not only learn the content but also how to solve problems, reason, communicate their thinking, model, use tools, use precise language, and see structure and patterns. Throughout the book, you'll find tools, templates, and blackline masters so that you can instantly adapt the lesson to your specific needs and use it right away. With the easy-to-follow plans in this book, students can work more effectively in small guided math groups-and have loads of fun along the way!

This superb in-depth Student Book is ideal for Year 8 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 8 Maths practice? Check out our Year 8 Targeted Workbook (9781789083170) and Year 8 Weekly Workouts (9781789085754).

Based on the fieldwork carried out at two elementary schools, Merits School and Pioneer School, in northeastern China, the monograph details how local schools enacted the New Mathematics Curriculum Reform that was launched in early 2000. The trajectory of the reform implementation at each school was plotted out. Both schools resorted to a long-standing quality control mechanism, i.e., teaching norms, to operationalize the reform ideas. The mechanism functioned by placing teachers under measurable supervision and evaluation aligned with the reform. The schools responded to the reform following school people's raising practical concerns, as well as the established school culture. Merits School arrived at a "two-faced strategy" to cope with the reform. Pioneer School managed to maintain a balance between promoting reform pedagogy and maintaining good test rankings. Both schools marginally involved parents in the implementation of the reform. This study suggests that to achieve success, reformers need to place equal emphasis on the transformation of teachers as well as local policymakers. This book enriches the existing literature on the implementation of mathematics curriculum reform at the school level and brings insights into the schools' implementation decisions, which will appeal to policymakers, curriculum researchers and administrators.

Get kids engaged in maths with real-life problem solving. In each fully illustrated title maths topics are carefully explained in different scenarios. Children are then given problems to solve around the scenario. Topics covered include measurement (inches and centimetres, to litres and millilitres and units of time and days of the week), problems with numbers (by adding, subtracting, division and multiplication and using roman numerals), how to use fractions, decimal places and percentages, shapes (2-D and 3D) and statistics, such as tables, bar graphs, pie charts, and line graphs. Each book is framed around a high interest area, perfect for children aged 7-9.

Mental arithmetic is now an important part of the school curriculum in both primary and secondary schools. How to be Brilliant at Mental Arithmetic contains over 40 photocopiable activities to help children develop the skills needed to do fast and accurate mathematical calculations. The sheets introduce a variety of techniques and strategies and provide opportunities for children to practise, reinforce and assimilate their new skills. Brilliant Publications publishes a range of books for 0-15 year olds. Details of our titles can be found on our website www.brilliantpublications.co.uk

Technology-enabled Mathematics Education explores how teachers of mathematics are using digital technologies to enhance student engagement in classrooms, from the early years through to the senior years of school. The research underpinning this book is grounded in real classrooms. The chapters offer ten rich case studies of mathematics teachers who have become exemplary users of technology. Each case study includes the voices of leaders, teachers and their students, providing insights into their practices, beliefs and perceptions of mathematics and technology-enabled teaching. These insights inform an exciting new theoretical model, the Technology Integration Pyramid, for guiding teachers and researchers as they endeavour to understand the complexities involved in planning for effective teaching with technology. This book is a unique resource for educational researchers and students studying primary and secondary mathematics teaching, as well as practising mathematics teachers.

Strengthen problem-solving skills and challenge more able pupils through extra practice. This book is packed with questions that are perfect for extension activities and learning beyond the curriculum. - Ensure sustained progress and greater depth for more able pupils with challenging practice questions designed to improve their fluency, reasoning and problem-solving skills - Follow a Mastery approach to learning with questions that get progressively more difficult through small steps - Promote conceptual understanding with questions that encourage pupils to apply and reflect on their knowledge - Enable home learning with answers available online

This CGP Study Guide explains everything students need to know for Key Stage Three Maths. It's ideal for students working at a foundation level. Every topic is explained with clear, friendly notes and worked examples, and there's a range of practice questions to test the crucial skills. For extra practice, a matching KS3 Maths Workbook is also available (9781841460482).

This CGP Workout Book is packed with enjoyable practice exercises for Year 5 KS2 Maths (ages 9-10). Presented in a fun and friendly style, it's a great way to help make sure children have really got to grips with all the important topics. Answers are included in a removable section at the back of the book, so it's simple to find out how well they're progressing.

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

This CGP Key Stage One Maths Workout Book is packed with enjoyable practice exercises for Year 2 pupils (ages 6-7) - including a section of 'Time Yourself' tests. Presented in a fun and friendly style, it's a great way to help make sure children have really got to grips with working out maths problems in their heads. Answers are included in a removable section, so it's simple to find out how well they're progressing.

Learn how to help K-8 students who struggle in math. Now in its second edition, this book provides a variety of clear, practical strategies that can be implemented right away to boost student achievement. Discover how to design lessons that work with struggling learners, implement math intervention recommendations from the Institute of Education Sciences Practice Guides, the National Center on Intensive Intervention, and CEC, use praise and self-motivation more effectively, develop number sense and computational fluency, teach whole numbers and fractions, increase students' problem-solving abilities, and more! This edition features an all-new overview of effective instructional practices to support academic engagement and success, ideas for intensifying instruction within tiered interventions, and a detailed set of recommendations aligned to both CCSSM and CEC/CEEDAR's High-Leverage Practices to help support students struggling to meet grade-level expectations. Extensive, current examples are provided for each strategy, as well as lesson plans, games, and resources.

In Democracy and Mathematics Education, Kurt Stemhagen and Catherine Henney develop a way of thinking about the nature and purposes of math that is inclusive, participatory, and thoroughly human. They use these ideas to create a school mathematics experience that can enhance students' math abilities and democratic potential. They locate mathematics' origins in human activity and highlight the rich but often overlooked links between mathematical activity and democratic, social practices. Democratic mathematics education foregrounds student inquiry and brings to light the moral dimensions of a discipline that has both remarkable utility and inevitable limitations. For math educators, the book's humanities approach helps to see the subject anew. For philosophers, it provides an important real world context for wrestling with perennial and timely questions, engaging democratic and evolutionary theory to transform school math. This alternative approach to mathematics and mathematics education provides a guide for how to use math to make democracy a larger part of school and wider social life. 2021 Winner of the AESA Critics' Choice Book Award.

In Democracy and Mathematics Education, Kurt Stemhagen and Catherine Henney develop a way of thinking about the nature and purposes of math that is inclusive, participatory, and thoroughly human. They use these ideas to create a school mathematics experience that can enhance students' math abilities and democratic potential. They locate mathematics' origins in human activity and highlight the rich but often overlooked links between mathematical activity and democratic, social practices. Democratic mathematics education foregrounds student inquiry and brings to light the moral dimensions of a discipline that has both remarkable utility and inevitable limitations. For math educators, the book's humanities approach helps to see the subject anew. For philosophers, it provides an important real world context for wrestling with perennial and timely questions, engaging democratic and evolutionary theory to transform school math. This alternative approach to mathematics and mathematics education provides a guide for how to use math to make democracy a larger part of school and wider social life. 2021 Winner of the AESA Critics' Choice Book Award.

In the four decades since Imre Lakatos declared mathematics a "quasi-empirical science," increasing attention has been paid to the process of proof and argumentation in the field -- a development paralleled by the rise of computer technology and the mounting interest in the logical underpinnings of mathematics. Explanantion and Proof in Mathematics assembles perspectives from mathematics education and from the philosophy and history of mathematics to strengthen mutual awareness and share recent findings and advances in their interrelated fields. With examples ranging from the geometrists of the 17th century and ancient Chinese algorithms to cognitive psychology and current educational practice, contributors explore the role of refutation in generating proofs, the varied links between experiment and deduction, the use of diagrammatic thinking in addition to pure logic, and the uses of proof in mathematics education (including a critique of "authoritative" versus "authoritarian" teaching styles).

A sampling of the coverage:

• The conjoint origins of proof and theoretical physics in ancient Greece.
• Proof as bearers of mathematical knowledge.
• Bridging knowing and proving in mathematical reasoning.
• The role of mathematics in long-term cognitive development of reasoning.
• Proof as experiment in the work of Wittgenstein.
• Relationships between mathematical proof, problem-solving, and explanation.

Explanation and Proof in Mathematics is certain to attract a wide range of readers, including mathematicians, mathematics education professionals, researchers, students, and philosophers and historians of mathematics.

This book contains three full sets of practice papers for Key Stage 3 Maths - ideal preparation for the in-school tests that most pupils take at the end of Year 9 (age 14). There are two hour-long test papers in each set - one where students are allowed to use a calculator, and one where they aren't. Detailed answers and a full mark scheme are included for every test, so it's easy for students to check their progress and learn from any mistakes. (Please note: these tests are best suited to KS3 students working at Levels 5-8. CGP Practice Tests for Levels 3-6 are also available - see 9781841460437.)