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.

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.

This Foundation Level GCSE Maths Revision Guide is packed with concise, friendly explanations of every topic, backed up with plenty of step-by-step examples. Grade information is included to show the difficulty level of each topic, and there are exam-style questions at the bottom of each page to test you on the important skills. And finally, a unique code is printed in the book that gives you access to the free Online Edition of the whole book on your PC, Mac or tablet! For even more help with this course, don't forget CGP's matching Workbook (9781782943846) and Exam Practice Workbook (9781782943815).

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.

Year 6 pupils (ages 10-11) will love this friendly, colourful Study Book - and it's perfectly matched to the latest curriculum! For each topic, there are straightforward study notes and plenty of clear examples explaining all the important skills, with objectives tick-boxes at the bottom of each page so that pupils can mark off their progress. Practice questions are included at the end of each section - these progress in difficulty to give pupils' understanding a thorough workout. On top of that, you'll also find Greater Depth Questions, so pupils can really test their knowledge, plus answers to every question at the back. For even more practice, don't miss our Year 6 Maths Targeted Question Book (9781847622143) - it's bursting with test-style practice for every topic!

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 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.

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.

This brilliant in-depth Student Book covers everything you need to succeed in AQA 9-1 GCSE Maths. It's packed with detailed, accessible notes, backed up with fully worked examples. Practice questions and exam-style questions are included throughout, complete with worked solutions. Each section is rounded off with a review exercise - perfect for recapping all of the content pupils have learnt. We've even included handy references to the AQA specification and learning objectives so you know exactly which bits of the spec are covered by each part of the book. A free Online Edition of the whole book is also included - just use the unique code printed inside the front cover to access it on a PC, Mac or tablet!

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.

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 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 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.

This booklet addresses Unit 2 (Mechanics) of the current CCEA GCSE Further Mathematics specification, and is one of a set of 4 revision resources. * Valuable revision questions with answers. * The questions are arranged into five distinct 'tests'. * NOT from past papers; commissioned specifically for this booklet. * Similar in style to the existing M1 to M8 revision booklets for GCSE Mathematics. * Two of the booklets address the content of Pure Mathematics, one covers Statistics and this one covers Mechanics.

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.

In the field of GCSE Mathematics, Edexcel is the right formula for success, used by the majority of schools and colleges. This motivating Student Book is written to be accessible to all students. It contains thousands of questions that progress gradually to help provide you with sufficient support and extension material for all grades in both tiers. The FREE ActiveBook CD-ROM included with every Student Book gives students even more support during individual and home study and caters for a wide range of learning styles.

Why do so many learners, even those who are successful, feel that they are outsiders in the world of mathematics? Taking the central importance of language in the development of mathematical understanding as its starting point, Mathematical Literacy explores students' experiences of doing mathematics from primary school to university - what they think mathematics is, how it is presented to them, and what they feel about it. Building on a range of theory which focuses on community, knowledge, and identity, the author examines two particular issues: the relationship between language, learning, and mathematical knowledge, and the relationship between identity, equity, and processes of exclusion/inclusion. In this comprehensive and accessible book, the author extends our understanding of the process of gaining mathematical fluency, and provides tools for an exploration of mathematics learning across different groups in different social contexts. Mathematical Literacy's analysis of how learners develop particular relationships with the subject, and what we might do to promote equity through the development of positive relationships, is of interest across all sectors of education-to researchers, teacher educators, and university educators.

This book provides examples of the ways in which 9-12 grade mathematics teachers from across North America are engaging in research. It offers a glimpse of the questions that capture the attention of teachers, the methodologies that they use to gather data, and the ways in which they make sense of what they find. The focus of these teachers' investigations into mathematics classrooms ranges from students' understanding of content to pedagogical changes to social issues. Underlying the chapters is the common goal of enabling students to develop a deep understanding of the mathematics they learn in their classrooms. By opening their analysis of their classroom practice to our inspection, these courageous teachers have invited us to think along with them and to learn more about our own teaching as a result. By sharing their work, they have given the mathematics education community an important opportunity. Everyone who reads this book-teachers, researchers, teacher-researchers, policy makers, administrators, and others interested in mathematics education-can learn from the findings and the light that they shed on issues important to mathematics education. This book, and the series of which it is a part, also provides the opportunity to step back and reflect on what can be learned about research from teachers who have engaged in the process. Areas of insight include: (a) the importance of collaboration and participation in communities that value research, (b) the potential of teacher research as a way to warrant teacher practice, (c) the power of video and other artifacts of teaching to support classroom inquiry, (d) connections between teaching and research, and (e) the publication process as professional development.

Modeling Mathematical Ideas combining current research and practical strategies to build teachers and students strategic competence in problem solving.This must-have book supports teachers in understanding learning progressions that addresses conceptual guiding posts as well as students' common misconceptions in investigating and discussing important mathematical ideas related to number sense, computational fluency, algebraic thinking and proportional reasoning. In each chapter, the authors opens with a rich real-world mathematical problem and presents classroom strategies (such as visible thinking strategies & technology integration) and other related problems to develop students' strategic competence in modeling mathematical ideas.

This CGP book is perfect for providing children with realistic 11+ Maths preparation in bite-sized chunks. It contains more than thirty 10-Minute Tests, each covering a mixture of topics and skills - with step-by-step answers included in a pull-out booklet. There are also fun puzzle pages throughout to challenge children's Maths skills in a more relaxed style, plus a progress chart at the back of the book. 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. 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!