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 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.

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).

Learn with the PAW Patrol pups! Help your little learner get ready to go, go, go with this colourful PAW Patrol activity book. Children are introduced to first numbers alongside their loveable and playful PAW Patrol friends. Children can learn how to recognise and write the numbers 1-10 Look out for the badge awarded at the end of the book Ideal for pre-schoolers getting ready for school Children will be on a roll in no time!

Learn with the PAW Patrol pups! Help your little learner get ready to go, go, go with this colourful PAW Patrol activity book. Children are introduced to first counting alongside their loveable and playful PAW Patrol friends. Children can practise counting from 1-20, use numbers in a sequence, and learn basic addition and subtraction alongside the PAW Patrol characters Look out for the badge awarded at the end of the book Ideal for pre-schoolers getting ready for school Children will be on a roll in no time!

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.

This clear, friendly CGP book is ideal for helping Year 6 pupils master all the Mental Maths skills they'll need at the end of Key Stage Two. It contains hundreds of questions to help students practise doing calculations in their heads, covering everything from doubling to division, perimeters to percentages and much more. Four realistic Mental Maths practice tests are also included, with pull-out scripts, answer sheets and free online audio files for each one.

Perfect for ages 9-10, this book contains a wide range of Maths practice questions in the style of the 11+ test set by CEM . The first section is focused on specific topics to develop understanding and confidence. This is followed by Assessment Tests that help to improve speed and accuracy across a wide range of questions. Fully explained answers to every question are included in a pull-out section, so it's easy to check children's progress and correct any mistakes. What's more, 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!

Mathematics is a subject held in high esteem around the world, yet the teaching and learning of mathematics is rarely viewed as good enough and many find the subject difficult to comprehend, or engage with. In Manufacturing the Mathematical Child, Anna Llewellyn asks some difficult questions in order to determine why this is the case and to question who it is that we allow to succeed at mathematics, particularly within the context of neoliberalism, where education is a product of the market. By looking at the various sites of production, Llewellyn examines the ways that key discursive spaces produce very different expectations of what it means to do mathematics and demonstrates that these place various homogenised expectations upon children. Arguing that these are not natural, but instead a reproduction of discursive norms, the book demonstrates why some people fit these standardized ways of being and others do not. Using England as a case study and referring to other international contexts, Llewellyn argues that there is a functionality found within certain educational policy discourses, and a romantic attachment to the natural child found within educational research, neither of which can match what happens in the messy classroom. As a result, it becomes evident that exclusion from mathematics is inevitable for many children. Original and exciting, this book will be of great interest to academics, researchers and postgraduate students within the fields of mathematics education, childhood studies, policy studies, and Foucauldian or post-structural analysis.

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.

A collection of 150 unique games and activities to help support teaching of maths in the primary classroom. Designed with busy teachers in mind, the Classroom Gems series draws together an extensive selection of practical, tried-and-tested, off-the-shelf ideas, games and activities guaranteed to transform any lesson or classroom in an instant. Easily navigable, allowing you to choose the right activity quickly and easily, these invaluable resources are guaranteed to save you time and are a must-have tool to plan, prepare and deliver first-rate lessons.

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.