This work is a complete, comprehensive and progressive teaching and learning programme. It is for children sitting 11+, SATs, common entrance and scholarship examinations. Arranged in a topic by topic format, it adopts a more traditional approach. A unique code is used covering Information, Technique and Exercises. Clear methodologies, with examples, are given for each technique. Plenty of practice exercises are also included. All books are rigorously classroom tested. Methodologies have been used in AE Tuition classes for over 20 years. There is over 85 per cent success rate in 11+ and selection tests. These books are designed to be used in sequence from Workbook 1 onwards and are frequently revised and updated. Answers, Progress Charts and a Certificate of Achievement are included at the end of every book.

This new and updated second edition of Debates in Mathematics Education explores the major issues that mathematics teachers encounter in their daily lives. By engaging with established and contemporary debates, this volume promotes and supports critical reflection and aims to stimulate both novice and experienced teachers to reach informed judgements and argue their point of view with deeper theoretical knowledge and understanding. Divided into five accessible sections, this book investigates and offers fresh insight into topics of central importance in mathematics education, with this second edition including new discussions and chapters on: Classic and contemporary issues of pedagogy, politics, philosophy and sociology of mathematics education International comparisons of achievement Digital technologies for teaching Mastery in mathematics Pop culture and mathematics Whether mathematics can be harmful Designed to stimulate discussion and support you in your own research, writing and practice through suggested questions and activities throughout, Debates in Mathematics Education will be a valuable resource for any student or practising teacher, and those engaged in initial teacher education, continuing professional development or Master's level study. This book also has much to offer to those leading mathematics departments in schools and initial teacher education programmes, and to beginning doctoral students looking for a survey of the field of mathematics education research.

Just like the real thing - only shorter! Help your child prepare for the SATS with these bite-sized National test papers. This book offers 12 mini-tests - including Reasoning and Arithmetic papers. Question types and mark schemes match the format of the National tests and offer an authentic SATs experience, though the flexible format allows them to be used at any time of the day. A handy progress chart is also supplied to give you some indication of the scores your child is likely to attain. A skills check section will also help you to identify all of the key maths skills your child needs to be successful in the SATs tests.

How to Sparkle at Maths Fun is a collection of photocopiable games, practical activities and fun worksheets designed to inspire and reinforce the teaching of maths in the infant classroom. The book is written to support children working at Key Stage 1 (Levels A-B), 5-7 year olds, and covers a range of activities from addition, subtraction, multiplication and division facts to measuring, money and shape recognition. The book is based around the theme of jungle animals, with familiar characters leading children through their learning. It is in three sections: practical activities involving cut and stick, junk materials, modelling dough, etc.; worksheets which require coloured pencils as an extra resource; games in which the children work in pairs or groups and which require dice and counters

This resource offers a groundbreaking effort to make mathematics education research on ratios and proportions readily accessible and understandable to preservice and in-service teachers of grades 6 to 8. Using extensive annotated samples of student work and based on research gathered in the Ongoing Assessment Project (OGAP), A Focus on Ratios and Proportions teaches readers how students develop understanding and fluency involving ratio and proportion concepts. Special features include: A close focus on student work, including 150+ annotated pieces of student work, to help teachers improve their ability to recognize, assess and monitor their students' errors and misconceptions, as well as their developing conceptual understanding. A focus on the OGAP Ratios and Proportions Progression, based on research conducted with hundreds of teachers and thousands of pieces of student work. Sections on how Common Core State Standards for Math (CCSSM) are supported by math education research. Student work samples and vignettes to illuminate the research, as well as end of chapter Looking Back questions and Instructional Links, which allow teachers to analyze evidence of student thinking and strategies and consider instructional responses. An accompanying eResource, available online, offers an answer key as well as extensive explanation of the Looking Back questions. Like A Focus on Multiplication and Division and A Focus on Fractions, this book is designed to bridge the gap between what math education researchers know and what teachers need to know in order to better understand evidence in student work and make effective instructional decisions.

CGP's KS2 Maths Question Cards are spot-on for practising the important skills pupils will need in the tough Maths SATS. This pack contains over 60 cards of fun, informal questions covering all the key Maths SATS topics, plus plenty of helpful notes to aid pupils and parents with tricky or less familiar topics. Challenge sections throughout the pack stretch pupils and deepen their understanding of Mathematics. Answers can be found on back of each card. For more pocketable SATS practice, try our great KS2 Spelling, Punctuation and Grammar cards (9781789084047).

This resource offers a groundbreaking effort to make mathematics education research on ratios and proportions readily accessible and understandable to preservice and in-service teachers of grades 6 to 8. Using extensive annotated samples of student work and based on research gathered in the Ongoing Assessment Project (OGAP), A Focus on Ratios and Proportions teaches readers how students develop understanding and fluency involving ratio and proportion concepts. Special features include: A close focus on student work, including 150+ annotated pieces of student work, to help teachers improve their ability to recognize, assess and monitor their students' errors and misconceptions, as well as their developing conceptual understanding. A focus on the OGAP Ratios and Proportions Progression, based on research conducted with hundreds of teachers and thousands of pieces of student work. Sections on how Common Core State Standards for Math (CCSSM) are supported by math education research. Student work samples and vignettes to illuminate the research, as well as end of chapter Looking Back questions and Instructional Links, which allow teachers to analyze evidence of student thinking and strategies and consider instructional responses. An accompanying eResource, available online, offers an answer key as well as extensive explanation of the Looking Back questions. Like A Focus on Multiplication and Division and A Focus on Fractions, this book is designed to bridge the gap between what math education researchers know and what teachers need to know in order to better understand evidence in student work and make effective instructional decisions.

The Handbook of Research on STEM Education represents a groundbreaking and comprehensive synthesis of research and presentation of policy within the realm of science, technology, engineering, and mathematics (STEM) education. What distinguishes this Handbook from others is the nature of integration of the disciplines that is the founding premise for the work - all chapters in this book speak directly to the integration of STEM, rather than discussion of research within the individual content areas. The Handbook of Research on STEM Education explores the most pressing areas of STEM within an international context. Divided into six sections, the authors cover topics including: the nature of STEM, STEM learning, STEM pedagogy, curriculum and assessment, critical issues in STEM, STEM teacher education, and STEM policy and reform. The Handbook utilizes the lens of equity and access by focusing on STEM literacy, early childhood STEM, learners with disabilities, informal STEM, socio-scientific issues, race-related factors, gender equity, cultural-relevancy, and parental involvement. Additionally, discussion of STEM education policy in a variety of countries is included, as well as a focus on engaging business/industry and teachers in advocacy for STEM education. The Handbook's 37 chapters provide a deep and meaningful landscape of the implementation of STEM over the past two decades. As such, the findings that are presented within provide the reader with clear directions for future research into effective practice and supports for integrated STEM, which are grounded in the literature to date.

Category Description for Kumon Math Workbooks (1-6):

A math program based on the Kumon method. Basically, the earmarks of this system are:

• Concepts introduced in small, incremental steps, allowing children to master them without confusion
• Single topic books rather than mixed strands. Children concentrate just on addition, for example, before moving to subtraction
• Concepts are taught by discovery method than being spelled out

The series is meant to be self-directed. Students take charge of their own learning on every level. They complete pages, check their work, record their scores, and determine whether to move on or review. The pace almost guarantees success. Children should work a "few" pages a day; assignments should take about 20 minutes to complete. Pages are marked with the skill level required at top and the points each question is valued at (a very young child will need some help totaling points). Very short instruction (or an example) is given on a few pages. For example, there is a short explanation when children begin to subtract a 2-digit number from a 3-digit number where borrowing is needed. However, the child is given every opportunity to intuit this beforehand. By the time he reaches this page, he has already been subtracting double-digit numbers for many pages. Some of these would require borrowing, but, since they are able to subtract, say, 7 from 12, the Kumon method wants the child to see a pattern when increasing to 7 from 22, 7 from 32, etc. This does remind me of the approach used in Miquon as well. Besides these very infrequent helps there are just some small prompts for children to look for patterns in their answers, and words of encouragement. Pages are pleasing to the eye; they are colored, clean, and problems are well-spaced. The Kumon method has been used successfully with children around the world for over 50 years. It does seem like it would help a child to take charge of his own learning and help himself to understanding rather than being spoon-fed each bite. For Kumon math earlier than Grade 1, see the Kumon section in Early Learning.

Put math manipulatives to work in your classroom and make teaching and learning math both meaningful and productive. Would you like to bring math learning to life and make it more concrete, relevant, and accessible to your students? Do you wish you could do more with the manipulatives buried in your supply closet? Do you want to more effectively use virtual manipulatives in your distance learning? Whether physical or virtual, commercial or home-made, manipulatives are a powerful learning tool to help students discover and represent mathematical concepts. Mastering Math Manipulatives includes everything you need to integrate math manipulatives-both concrete and virtual-into math learning. Each chapter of this richly illustrated, easy-to-use guide focuses on a different powerful tool, such as two-color counters, linking cubes, base ten blocks, fraction manipulatives, pattern blocks, tangrams, geometric solids, and others, and includes a set of activities that demonstrate the many ways teachers can leverage manipulatives to model and reinforce math concepts for all learners. It features: Classroom strategies for introducing math manipulatives, including commercial, virtual, and hand-made manipulatives, into formal math instruction. Step-by-step instructions for 75 activities that work with any curriculum, including four-color photos, printable work mats, and demonstration videos. Handy charts that sort activities by manipulative type, math topic, domains aligned with standards, and grade-level appropriateness. It's time to dive in and join in the journey toward making manipulatives meaningful so math learning is concrete, profound, and effective for your students!

Murderous Maths has been given a gorgeous new cover look! For readers scared of squares and perplexed by primes, the next in the unchallenged Murderous Maths series, Numbers: The Key to the Universe, reveals how you could win a million dollars and become famous forever (twice). Meanwhile, they must pit their wits against evil Professor Fiendish's Number Chain, and things get ugly when the gangsters meet the unlucky number 13. Using a host of hilarious characters, Kjartan Poskitt presents all the tricks, tips and shortcuts to maths they don't teach at school.

Written in a user-friendly, conversational style, the fourth edition of this groundbreaking text helps pre-service and in-service mathematics teachers build the comfort and confidence they need to begin talking to children about fractions and ratios, distilling complex ideas and translating research into usable ideas for the classroom. For two decades, Teaching Fractions and Ratios for Understanding has pushed readers beyond the limits of their current understanding of fractions and rational numbers, challenging them to refine and explain their thinking without falling back on rules and procedures they have relied on throughout their lives. All of the material offered in the book has been used with students, and is presented so that readers can see the brilliance of their insights as well as the issues that challenge their understanding. Each chapter includes children's strategies and samples of student work for teacher analysis, as well as activities for practicing each thinking strategy, designed to be solved without rules or algorithms, using reasoning alone. The fourth edition of this popular text has been updated throughout and includes new examples of student work, updated artwork, and more. As with previous editions, an equally valuable component of this text is the companion book MORE! Teaching Fractions and Ratios for Understanding (2012), a supplement that is not merely an answer key but a resource that provides the scaffolding for the groundbreaking approach to fraction and ratio instruction explored here. MORE! includes in-depth discussions of selected problems in the main text, supplementary activities, Praxis preparation questions, more student work, and templates for key manipulatives.

In this book, John Hattie, Doug Fisher, Nancy Frey, team up with mathematics experts Linda M. Gojak, Sara Delano Moore, and William Mellman to walk teachers through the key research-based moves they should focus on in their mathematics classrooms - those with the highest effect sizes in the phases of surface, deep, and transfer learning. In accessible, every-day language, they offer their best guidance to teachers on what surface, deep, and transfer learning mean, look, and sound like in the mathematics context. How to ensure teacher clarity through setting meaningful learning intentions and success criteria that build on prior learning, and by continually checking for understanding.

This CGP Workout Book is packed with enjoyable practice exercises for Year 3 KS2 Maths (ages 7-8). 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.

If you were to peer into a primary school classroom somewhere across Australia and New Zealand, you would be forgiven for thinking that science, technology, engineering and mathematics (STEM) education is synonymous with coding and digital technologies. However, while these aspects are important, technology alone does not reflect the broad learning opportunities afforded by STEM. In countering this narrow approach, STEM Education in Primary Classrooms offers a platform for research that innovates, excites and challenges the status quo. It provides educators with innovative and up-to-date research into how to meaningfully and authentically embed STEM into existing classroom practices. It incorporates accurate explanations of STEM as an integrated approach to solving real-world problems, including social issues, along with case studies and stories to bring practice to life in evidence-informed ways. This book showcases the impact of a broader approach to STEM in the primary classroom through Australian-based and New Zealand-based research that will challenge current teaching practices. Thus, this book will be of interest to pre- and in-service primary school teachers, along with researchers and postgraduate students in the STEM education field.

Exam Board: Edexcel Level: GCSE Grade 9-1 Subject: Maths Suitable for the 2023 exams Complete coverage of the GCSE grade 9-1 course Published in partnership with White Rose Maths this GCSE revision guide uses the White Rose Maths approach to build confidence, deepen understanding and provide plenty of practice opportunities. Use this guide for full revision support in each topic and see that everyone can do maths! * Revisit and embed key facts for each topic * Strengthen knowledge with worked examples and commentary * Secure conceptual understanding with models and visual representations * Build confidence and fluency with plenty of practice exam-style questions * Improve problem-solving skills with challenging questions

Target success in the AQA Certificate in Further Maths with this proven formula for effective, structured revision. Key content coverage and numerous worked examples are combined with exam-style questions to create a revision guide that students can rely on to review, strengthen and test their knowledge. - Help develop the key skills needed for success with skills-focused and problem solving questions, covering the 2018 specification. - Strategically target revision with diagnostic questions to establish which areas need focus. - Get assessment-ready with exam-style questions and advice on common examination pitfalls. - Revise effectively with advice on exam preparation, plus special focus on common pitfalls such as how to show correct workings. - Improve answers with full step-by-step worked solutions to all questions provided online for free.

Exam Board: ISEB Level: 11 Plus Subject: Maths First Teaching: September 2015 First Exam: Autumn 2016 Secure the top marks in 11 plus independent school entrance exams and Pre-Tests leading to a better chance at getting into the school of choice with this essential revision guide. Complete coverage of the ISEB 11 Plus Maths syllabus and stretching extra content ensures that every topic is thoroughly revised ahead of the exams. This book covers everything required for the 11 Plus Maths exam - Prepares pupils for a wide range of independent school exams and pre-tests with challenging extension material - Consolidates revision with all the key information in one place - Features helpful insight in to the exams, with examples, practical tips and advice - Tests understanding and technique with timed, levelled exam-style questions Also available for 11 Plus Maths preparation: - 10-Minute Maths Tests Workbook Age 8-10 9781471829611 - 10-Minute Maths Tests Workbook Age 9-11 9781471829635 - Mental Arithmetic Workbook Age 8-10 9781471829505 - Mental Arithmetic Workbook Age 9-11 9781471829628 Revision Guides, Workbooks and Practice Papers are also available for English, Science, Verbal Reasoning and Non-Verbal Reasoning on www.galorepark.co.uk

This CGP Workout Book is packed with enjoyable practice exercises for Year 2 KS1 Maths (ages 6-7). 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, so it's simple to find out how well they're progressing.