Teaching mathematics is one of the most difficult and important jobs that anyone can do. Mathematics is a critical part of education and an essential building block for problem solving skills that are needed in the real world. However, many students struggle to learn and understand mathematical concepts and educators need to do everything possible to help our students learn. This book focuses on four areas necessary to be an impactful teacher of mathematics: Planning, Pedagogy, Assessment, and Relationships. For each of the ideas presented in the book, a brief introduction will be shared and then two different perspectives will be detailed with examples. The first is Not like This which is often the traditional way of teaching mathematics or the less effective approach. The second perspective is Teach Like This which is my recommended approach based upon research and my own experience as a teacher, math coordinator, and graduate instructor of math education.

Using the latest research, this book provides an insight into how learning in mathematics can be improved through a lesson study approach. This highly practical resource explores the research and theory that underpins lesson study, and shows the significant impact it can have on teacher development. Divided into ten accessible main chapters that focus in depth on an individual mathematics lesson, each chapter provides research and background to the lesson, an outline of key features, a detailed description and analysis of the lesson in practice, post-lesson discussions and reflections which generalise from the experience, as well as links to helpful resources. Some of the key topics explored include: Fractions Proportional relationships Probability and statistics Geometry Modelling Algebra Dialogic reasoning. Understanding Lesson Study for Mathematics is the perfect resource for all mathematics teachers, trainee teachers, and professional developers who are looking to develop the use of lesson study in their own practice or for those simply seeking new inspiring ideas for the mathematics classroom.

Much of the content that students study in a high school geometry course is totally new to them. The middle school mathematics curriculum does not contain preparatory work for many of these topics as it does in preparing students for the study of Algebra. The proposed text would be a landmark book giving students the ability to gain some understanding of the content before it is formally addressed in the lesson in the course. While many teachers use initial classroom activities called 'DoNows,' there are no structured materials available to teachers of Geometry for this purpose. When teachers do use them, these activities are constructed by the teachers. The text provides the teachers with such materials and is structured to address what the teachers are about to present to the students. The Labs can also be used for exploration of topics at the middle school level enhancing the program there and giving students a better preparation for their high school Geometry program.

Mastery in Primary Mathematics contains clear, practical guidance for both teachers and leaders on how to implement a mastery approach in the classroom that transcends any particular context, school type or scheme currently being used. Filled with research-based evidence, case studies and concrete examples of teaching for mastery used successfully, this is the ideal toolkit to implementing a mastery approach across a school, regardless of expertise. Moulding pupils into confident and successful mathematicians is one of the most important jobs of a primary school. It can also be one of the most difficult. Teaching for mastery gives pupils the best possible understanding of mathematics and implementing it involves a two-pronged approach: mastery must be embedded in the classroom, but will only work with the full support of the school's leadership team. Based on educational research and school case studies, Mastery in Primary Mathematics gives practical advice on introducing and sustaining teaching for mastery, with sections for both class teachers and school leaders. In this must-have guide, Tom Garry, NCETM Maths Mastery Specialist Teacher, covers the areas of variation theory, mathematical reasoning and the use of correct mathematical language, and equips leaders with the necessary tools to make the mastery approach work across a school. With a view to planning at three levels - curricular, unit and lesson - in order to fully arm educators with the means to plan effectively, Tom draws on cognitive science as current developments in this field are crucial to understanding how children learn.

Numbers are all around us but why are they important? This book finds out what numbers are, from how we count them, to what are prime and base numbers and takes you upto the really big ones - millions, billions and to infinity and beyond. You'll also explore some really strange numbers, find out about your body in numbers and get to grips with roman numerals. Plus, there are fun quizzes to help you test your knowledge. The book is part of the Maths is Everywhere series, which demystifies all aspects of maths and shows how it relates to your everyday world with fun, colourful graphics. These are fantastic books for children aged nine plus who are studying maths, or for anyone who wants to get to grips with maths in a fun way.

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.

When it comes to learning, nothing quite beats regular practice. This unmissable Year 2 book from CGP is brimming with weekly Times Table workouts - one for each week of the school year. Each workout contains a mix of classic problems, word-based questions and bigger problem-solving questions on the 2, 5 and 10 times tables. We've even scattered some fun times-table puzzles throughout the book to help cement what pupils have learnt. Answers are included in a cut-out section at the back, alongside a handy progress chart where you can record pupils' marks and make notes.

It's the revolutionary math study guide just for middle school students from the brains behind Brain Quest. Everything You Need to Ace Math . . . covers everything to get a student over any math hump: fractions, decimals, and how to multiply and divide them; ratios, proportions, and percentages; geometry; statistics and probability; expressions and equations; and the coordinate plane and functions. The BIG FAT NOTEBOOK(TM) series is built on a simple and irresistible conceit--borrowing the notes from the smartest kid in class. There are five books in all, and each is the only book you need for each main subject taught in middle school: Math, Science, American History, English Language Arts, and World History. Inside the reader will find every subject's key concepts, easily digested and summarized: Critical ideas highlighted in neon colors. Definitions explained. Doodles that illuminate tricky concepts in marker. Mnemonics for memorable shortcuts. And quizzes to recap it all. The BIG FAT NOTEBOOKS meet Common Core State Standards, Next Generation Science Standards, and state history standards, and are vetted by National and State Teacher of the Year Award-winning teachers. They make learning fun and are the perfect next step for every kid who grew up on Brain Quest.

First Mental Arithmetic provides carefully graded questions that develop children's essential mathematics skills. A downwards extension of the Schofield & Sims bestseller Mental Arithmetic, the series comprises three workbooks for Year 1 (Books 1 to 3) and three for Year 2 (Books 4 to 6). The term 'mental arithmetic' is usually associated with spoken questions. However, children using all the Schofield and Sims Mental Arithmetic materials read the questions themselves and write down their answers. A Language of Maths glossary helps to develop children's number vocabulary and three Check-ups assess children's understanding. The separate First Mental Arithmetic Answers provides answers to all questions contained in this book, plus additional resources for teachers. Book 2 includes: vocabulary of addition and subtraction, block graphs, ordering by length, weight and capacity, position, direction and movement.

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.

"This brilliant book of 10-Minute Tests is perfect for helping pupils aged 9-10 prepare for the tricky Maths problems they'll have to solve in the GL 11+ test. It contains over 30 short, sharp tests, each covering a wide range of topics and skills. To break up the all the serious 11+ preparation, we've also included fun puzzle pages throughout the book. You'll also find complete step-by-step answers to every question in a pull-out section, along with a progress chart so you'll never be left in the dark. This book also comes with a free Online Edition - just use the unique access code printed inside the cover to access it on a PC, Mac or tablet! "

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.

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.

This Grade 9 publication offers extremely thorough and plentiful practice in mastering the essential techniques and concepts as required by the Grade 9 CAPS curriculum and includes several useful summaries of facts and formulae. This 2 in 1 publication includes: Topic-based Questions & Answers – for an understanding of theory, techniques & concepts and Exam Papers & Memos that put theory into practice. The first section covers questions per topic. The questions within each topic are graded with the purpose of developing concepts step-by-step and in so doing growing the understanding, knowledge and confidence of the learner. The second section consists of a set of exam papers that reflects the standard and the weighting per topic as required by CAPS. Detailed solutions with additional explanations, notes and hints develop the learner’s skills in examination technique. A most comprehensive study guide which will benefit learners of all levels of competence reached in this challenging subject.

This Grade 8 Mathematics study guide provides a thorough introduction to critical mathematical concepts such as algebra and geometry. This foundation is essential for the development of logical thinking and the growth of knowledge and confidence in this extremely important subject. This 2 in 1 publication includes: Topic-based Questions & Answers – to build an understanding of theory, techniques & concepts in each topic and Exam Papers & Memos – to put theory into practice and reinforce concepts in an integrated way. The first section introduces and builds understanding of each concept through graded questions on each topic. Comprehensive answers to all questions are provided with many extra tips and advice boxes for guidance. The second section consists of a range of exam papers. Detailed solutions with additional explanations, notes and hints are provided to develop the learner’s skills in examination technique. This study guide is beneficial for learners at all levels of competence in this challenging subject.

This three-in-one book provides an extremely thorough treatment of the CAPS curriculum. It offers a ‘fresh start’ to learners with gaps in their understanding from previous years. It contains: Comprehensive Notes and Worked Examples per topic, Exercises that are graded to promote logic and develop techniques in each topic and Detailed Solutions for all exercises plus a fully explained comprehensive exam (paper 1 and paper 2) for thorough consolidation and final exam preparation. This 3 in 1 study guide will equip a learner to achieve their full potential in Grade 10 and put all the building blocks in place for success in Grade 11 and 12 Mathematics, notably in Algebra, Euclidean and Analytical Geometry and Trigonometry. Extensive practice through the carefully selected examples and exercises will build a thorough understanding and mastery of each topic as the learner grows in confidence and expertise. The learner will GET IT, learn to overcome misconceptions and understand all concepts from first principles.

We hear all the time how American children are falling behind their global peers in various basic subjects, but particularly in math. Is it our fear of math that constrains us? Or our inability to understand math's place in relation to our everyday lives? How can we help our children better understand the basics of arithmetic if we're not really sure we understand them ourselves? Here, G. Arnell Williams helps parents and teachers explore the world of math that their elementary school children are learning. Taking readers on a tour of the history of arithmetic, and its growth into the subject we know it to be today, Williams explores the beauty and relevance of mathematics by focusing on the great conceptual depth and genius already inherent in the elementary mathematics familiar to us all, and by connecting it to other well-known areas such as language and the conceptual aspects of everyday life. The result is a book that will help you to better explain mathematics to your children. For those already well versed in these areas, the book offers a tour of the great conceptual and historical facts and assumptions that most simply take for granted. If you are someone who has always struggled with mathematics either because you couldn't do it or because you never really understood why the rules are the way they are, if you were irritated with the way it was taught to you with the emphasis being only on learning the rules and "recipes" by rote as opposed to obtaining a good conceptual understanding, then How Math Works is for you!

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.

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.

Bursting with enough practice to last the whole of Year 3, this colourful book is a must-have for KS2 Maths! Every topic contains a range of questions divided into sets based on their difficulty, so it's easy to choose work for pupils of all ability levels. Context-based challenge pages feature throughout the book to give pupils a look at Maths from a different angle, and we've even included handy recap pages to help pupils retain what they've learnt! You can download free printable materials to match this book from the CGP website. Answers and helpful resources for teachers are available in a separate book (9781782948001).

This is Book Three in CGP's range of three 10-Minute Tests books - it covers the most challenging material from KS3 Maths. Inside, you'll find over 30 bite-sized tests, each packed with questions on a mixture of topics. Complete answers and mark schemes are included at the back, so it's easy to find out how well students are progressing. For practice on the more straightforward parts of KS3 Maths, Book One (9781782944751) and Book Two (9781782944812) are also available.

For "Heinemann Mathematics P7", colour textbooks and workbooks are used by children to practise and record their understanding of concepts, skills and applications in number, measure, shape and handling data. They include a wide range of problem-solving and investigative work to develop children's ability to use and apply maths. The textbooks help promote children's recording skills using a variety of motivating contexts, and include activities to give further practice in applying maths. The format of the workbooks free children to concentrate on the maths rather than on the presentation of their work, and each one contains a record-keeping grid to show work completed. The reinforcement sheets are for use selectively with those children who need extra practice of key maths topics, in addition to that provided in the textbooks and workbooks. Each sheet is clearly referenced to a workbook or textbook page for easier integration with the core work, and clear flagging in the textbooks and workbooks shows which topics are supported by a reinforcement sheet. All the extra work is at the same mathematical level as the core. The extension textbook provides additional work at every stage to consolidate and extend learning. Some of the work extends the range of a topic for all children, and some is specifically to stretch the more able. Some of the activities relate to topics in the textbooks and workbooks, and the remaining ones can be attempted at any time. The assessment and resources packs contain games and activities to enrich learning. These include photocopiable problem-solving activities and calculator work, and ideas for practical, theme-based work covering a range of maths topics. This is the textbook.

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.