KS3 Maths Progression Workbooks offer extra practice of key content, along with progression checkers at the end of each Unit and plenty of dynamic student support. * Hundreds of extra practice questions at different levels of difficulty: Mastery, Strengthen and Extend * Guided questions with partially worked solutions, hints and QR codes linking to worked example videos give students crucial support * Progression checkers at the end of each Unit encourage students to take ownership of their learning, and allows them to track their progress as they work through the book. If you're an institution you can get the answers for this book as a free download. If you are a parent or tutor please contact customer services at [email protected] who will send you the download directly.

The quality of primary and secondary school mathematics teaching is generally agreed to depend crucially on the subject-related knowledge of the teacher. However, there is increasing recognition that effective teaching calls for distinctive forms of subject-related knowledge and thinking. Thus, established ways of conceptualizing, developing and assessing mathematical knowledge for teaching may be less than adequate. These are important issues for policy and practice because of longstanding difficulties in recruiting teachers who are confident and conventionally well-qualified in mathematics, and because of rising concern that teaching of the subject has not adapted sufficiently. The issues to be examined in Mathematical Knowledge in Teaching are of considerable significance in addressing global aspirations to raise standards of teaching and learning in mathematics by developing more effective approaches to characterizing, assessing and developing mathematical knowledge for teaching.

This book is full of targeted practice to help children aged 8-9 build up their Maths skills for the 11+ (and other selective entrance exams). It's a superb way to give them a head-start in preparing for the test. The first section of the book helps children gain understanding and confidence by focusing on one topic at a time. This is followed by six Assessment Tests to improve their speed and accuracy across a wide range of questions. And if they get stuck or go wrong, the detailed pull-out answers make it easy to understand the reasoning behind the questions. Multiple-choice answer sheets for the Assessment Tests are available to download from from the CGP website. This book is ideal for the 11+ tests set by GL Assessment and other test providers, and provides excellent practice for the Kent Test. A separate edition for the CEM tests is also available. Great news - a free Online Edition of the whole book is included - just use the unique access code printed inside the cover to access it on a PC, Mac or tablet!

"I genuinely believe I have never taught mathematics better, and my students have never learned more. I just wish I had known all of this twelve years ago."Craig Barton is one of the UK's most respected teachers of mathematics. In his remarkable new book, he explains how he has delved into the world of academic research and emerged with a range of simple, practical, effective strategies that anyone can employ to save time and energy and have a positive impact on the long-term learning and enjoyment of students. Craig presents the findings of over 100 books and research articles from the fields of Cognitive Science, Memory, Psychology and Behavioural Economics, together with the conversations he has had with world renowned educational experts on his Mr Barton Maths Podcast, and subsequent experiments with my students and colleagues.

This ground-breaking book investigates how the learning and teaching of mathematics can be improved through integrating the history of mathematics into all aspects of mathematics education: lessons, homework, texts, lectures, projects, assessment, and curricula. It draws upon evidence from the experience of teachers as well as national curricula, textbooks, teacher education practices, and research perspectives across the world. It includes a 300-item annotated bibliography of recent work in the field in eight languages.

A volume in Contemporary Perspectives in Early Childhood Education Series Editors Olivia N. Saracho and Bernard Spodek This volume provides a comprehensive critical analysis of the research in mathematics education for young children. The researchers who conducted the critical analysis focused on the relationship between (1) mathematics learning in the early years and domain specific approaches to cognitive development, (2) the children's social learning and their developing understanding of math, and (3) the children's learning in a natural context and their understanding of mathematics concepts. The work of these scholars can help guide those researchers who are interested in pursuing studies in early childhood mathematics in a specific area of study. This volume will facilitate the research conducted by both novice and expert researchers. The volume has accomplished its major goals, which consists of critically analyzing important research in a specific area that would be most useful in advancing the field and provide recommendations for both researchers and educators.

Do you want your child to attend an independent or grammar school? Wondering how to give him or her the best possible chance of passing these exams? Practise & Pass 11+ Level 3: Maths Practice Test Papers is a brand new pack filled with hundreds of new, authentic practise questions in the same multiple choice format as the final exams. Designed for children who have completed the Discover and Develop levels, Practise & Pass 11+ Level 3: Maths Practice Test Papers is the final stage of the Practise & Pass 11+ series which allows your child to receive a full programme of coaching needed to pass the 11+ exams. Competition is high and places are very limited in independent and grammar schools so Practise & Pass 11+ Level 3: Maths Practice Test Papers is an invaluable tool to give your child the head start they need. The Practise & Pass 11+ series has been developed in line with the current entrance exams so your children will be answering questions that are in an identical format and style to those that will be in the final test. Covering the four key subjects, verbal reasoning, non-verbal reasoning, maths and English, the series is split into three levels - Discover, Develop and Practice Test Papers. After working through the Practise & Pass 11+ series your child will be fully prepared for the tests, have the edge over other applicants and be equipped with the best possible chance to get into the school of your choice. Give your child the skills and experience to pass the 11+ exam with flying colours. Discover the complete Practise & Pass 11+ series: Practise & Pass 11+ Level 1: Discover English Practise & Pass 11+ Level 1: Discover Maths Practise & Pass 11+ Level 1: Discover Non-Verbal Reasoning Practise & Pass 11+ Level 1: Discover Verbal Reasoning Practise & Pass 11+ Level 2: Develop English Practise & Pass 11+ Level 2: Develop Maths Practise & Pass 11+ Level 2: Develop Non-Verbal Reasoning Practise & Pass 11+ Level 2: Develop Verbal Reasoning Practise & Pass 11+ Level 3: English Practice Test Papers Practise & Pass 11+ Level 3: Maths Practice Test Papers Practise & Pass 11+ Level 3: Non-Verbal Reasoning Practice Test Papers Practise & Pass 11+ Level 3: Verbal Reasoning Practice Test Papers Practise & Pass 11+ Level 3: Practice Test Papers Variety Pack 1

This graduate textbook is concerned with both the formulation and the solution of radiation heat transfer problems in enclosures. The book is essentially self-contained and includes a brief historical survey. The foundations are carefully discussed from the point of view of the exact mathematical basis of boundary value problems and their variational solutions as well as of the physical foundations. The computational methods developed by the authors are used in engineering applications. The combination of exact mathematical modelling with numerical skills makes this a unique textbook.

Elementary mathematics specialists are teacher leaders who are responsible for supporting effective PK-6 mathematics instruction and student learning. The Association of Mathematics Teacher Educators (AMTE), the Association of State Supervisors of Mathematics, the National Council of Supervisors of Mathematics, and the National Council of Teachers of Mathematics, in a 2010 joint position paper on Elementary Mathematics Specialists (EMSs), all advocate for the use of EMSs to support the teaching and learning of mathematics. The specific roles and expectations of EMSs will vary according to the needs of each setting, "but their expertise and successful experience at the elementary level is critical" (p 1). Elementary Mathematics Specialists: Developing, Refining, and Examining Programs that Support Mathematics Teaching and Learning is AMTE's latest resource supporting the important work of EMSs. It has five sections related to the preparation and professional development of EMSs: (a) Overview and Current State of Affairs; (b) Models of EMS Program Development & Delivery; (c) Supporting EMSs in the Field; (d) The Mathematics Specialist Research; and (e) Future Directions. The book provides support to EMS practitioners, program providers/developers, and researchers seeking to answer important questions about how to prepare Mathematics Specialists, support them in the field, and research their effectiveness.

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

REVISE 11+ is the smart choice for 11+ Verbal Reasoning preparation. This book of Ten-Minute Tests: Provides additional exercises for regular and repeated practice, including homework Enables learners to perfect skills through increased volume and time-focused sessions Supports learners with enhanced answers and topics matched to the Revise 11+ Verbal Reasoning Practice Books Develops confidence for 11+ exams by focusing on the important skills. Preparation is more than just these Ten-Minute Tests! The REVISE 11+ series supports learners for every step of the journey. All titles in the series work together to provide the best support for the 11+. Introduce key skills with the REVISE 11+ Verbal Reasoning Practice Book 1. Take the next step with REVISE 11+ Verbal Reasoning Practice Book 2. Get exam-ready with REVISE 11+ Verbal Reasoning Assessment Book.

The Heinemann Mathematics scheme has been developed by the authors of the primary course SPMG, with the aim of building on established strengths to provide a structured development of children's mathematical knowledge and skills within the revised curricula.

REVISE 11+ is the smart choice for 11+ Maths preparation. This Assessment Book: Provides realistic exam practice so that learners can apply their skills Promotes independence with comprehensively demonstrated answers Prepares for 11+ exams by offering the volume of practice that tutors and teachers recommend. Preparation is more than just this Assessment Book! The REVISE 11+ series supports learners for every step of the journey. All titles in the series are fully integrated and work together to provide the best support for the 11+. Introduce key skills with the REVISE 11+ Maths Practice Book 1. Take the next step with REVISE 11+ Maths Practice Book 2. Consolidate learning with the REVISE 11+ Maths Ten-Minute Tests.

Scan, Organise and Revise your notes The new Revise Pearson Edexcel GCSE (9-1) Mathematics Higher Revision Notebook makes it easy to capture your revision notes and access them on the go. Our Revision Notebooks include tips about making great revision notes and have a 1-to-1 page match with the Pearson Edexcel Mathematics Higher Revision Guide and Workbook to help you organise your notes more efficiently. Each page includes topic summaries, key information and space to make your own notes. Not only that, but you can use the free SCRIBZEE app to: Scan and organise your own notes Access them from any connected devices with 5GB free storage space Share your notes as PDF or JPG files Track your revision with the handy progress checker.

This friendly, colourful CGP favourite explains every Maths topic needed for the Key Stage Two! For each topic there are crystal-clear study notes covering all the important skills, plus handy markers to show which years pages are aimed at. We've also thrown in plenty of worked examples and practice questions to test what pupils are learning. Answers are included at the back. For the perfect combo, check out our matching Question Book (9781847621856)!

This book is inspired by Roger E. Howe's contributions to the international communities of mathematics and mathematics education. Renowned for his research contributions in the fields of representation theory, automorphic forms, harmonic analysis, and invariant theory, Dr. Howe has also fundamentally deepened our understanding of the mathematics taught in the early school grades and has challenged and stimulated mathematicians and mathematics educators to work together to examine this part of the mathematical universe more critically and in imaginative new ways. This volume will help summarize and highlight Howe's contributions to several topic areas in mathematics education, demonstrating the possibility and importance of engaging mathematicians in high-impact research in mathematics education, and showcasing the importance of cross-disciplinary collaboration and exchange.

REVISE 11+ is the smart choice for 11+ English preparation. This book of Ten-Minute Tests: Provides additional exercises for regular and repeated practice, including homework Enables learners to perfect skills through increased volume and time-focused sessions Supports learners with enhanced answers and topics matched to the Revise 11+ English Practice Books Develops confidence for 11+ exams by focusing on the important skills. Preparation is more than just these Ten-Minute Tests! The REVISE 11+ series supports learners for every step of the journey. All titles in the series are fully integrated and work together to provide the best support for the 11+. Introduce key skills with the REVISE 11+ English Practice Book 1. Take the next step with REVISE 11+ English Practice Book 2. Get exam-ready with REVISE 11+ English Assessment Book.

This volume provides readers with a broad view on the variety of issues related to the educational research and practices in the field of Creativity in Mathematics and Mathematical Giftedness. The book explores (a) the relationship between creativity and giftedness; (b) empirical work with high ability (or gifted) students in the classroom and its implications for teaching mathematics; (c) interdisciplinary work which views creativity as a complex phenomena that cannot be understood from within the borders of disciplines, i.e., to present research and theorists from disciplines such as neuroscience and complexity theory; and (d) findings from psychology that pertain the creatively gifted students. As a whole, this volume brings together perspectives from mathematics educators, psychologists, neuroscientists, and teachers to present a collection of empirical, theoretical and philosophical works that address the complexity of mathematical creativity and giftedness, its origins, nature, nurture and ways forward. In keeping with the spirit of the series, the anthology substantially builds on previous ZDM volumes on interdisciplinarity (2009), creativity and giftedness (2013).