Explore, support and consolidate Early Years Mathematics with a colourful, simple story for ages 4-5, containing key mathematical concepts and practice opportunities. - Support learners with a brightly illustrated story and simple text, linked to the topics covered in Activity Book A and the Teacher's Resource Pack. - Practice key mathematical concepts with simple question prompts embedded in the story, and activities at the end of the book. - Give time for questioning and reflection with space at the back of the book to write-in and record ideas. - Provide extra support at home or in the classroom with advice and tips about the Early Learning Goals (which underpin the Cambridge Primary Mathematics Stage 1 curriculum) covered in the story for use by parents or teachers.

With a huge range of Maths practice for ages 7 to 8, plus fully explained answers to every question, this book is ideal for building up the skills children need for the 11+ and other selective entrance exams. The first section of the book focuses on one topic at a time to help children gain understanding and confidence. 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 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!

This book is brimming with Maths questions (with fully explained answers) for ages 9-10 - it's a fantastic resource for helping children work towards the 11+. The first section of the book focuses on one topic at a time to help children gain understanding and confidence, followed by realistic Assessment Tests to improve their speed and accuracy across a wide range of questions. 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!

Corrective Mathematics teaches students the strategies they need for learning facts, working computation problems, and solving story problems. Corrective Mathematics' consistent and carefully sequenced lessons quickly bring students up to date on core skills, and each skill is taught so students fully understand it and practice it until it is mastered.

The book presents comparative analyses of five elementary mathematics curriculum programs used in the U.S. from three different perspectives: the mathematical emphasis, the pedagogical approaches, and how authors communicate with teachers. These perspectives comprise a framework for examining what curriculum materials are comprised of, what is involved in reading and interpreting them, and how curriculum authors can and do support teachers in this process. Although the focus of the analysis is 5 programs used at a particular point in time, this framework extends beyond these specific programs and illuminates the complexity of curriculum materials and their role in teaching in general. Our analysis of the mathematical emphasis considers how the mathematics content is presented in each program, in terms of sequencing, the nature of mathematical tasks (cognitive demand and ongoing practice), and the way representations are used. Our analysis of the pedagogical approach examines explicit and implicit messages about how students should interact with mathematics, one another, the teacher, and the textbook around these mathematical ideas, as well as the role of the teacher. In order to examine how curriculum authors support teachers, we analyze how they communicate with teachers and what they communicate about, including the underlying mathematics, noticing student thinking, and rationale for design elements. The volume includes a chapter on curriculum design decisions based on interviews with curriculum authors.

Scottish Heinemann Maths reflects the content of the HMI report Improving Mathematics Education 5-14. It offers a structured development of mental calculation strategies, using clear progression and continuity of topics, and increases the pace of progression.

This new series provides all the practice a child needs to build confidence in multiplication and division. More than 400 questions offer great revision of essential multiplication tables facts and guide every child through the processes of short and long multiplication and short and long division.

Pupil Practice Books contain practice exercises which link precisely to teaching and learning in the corresponding unit in the Teacher's Book and Pupil Textbook. Intelligent practice is at the heart of these exercises, with each activity designed to encourage children to make connections, reason, conjecture and generalise. This Practice Book accompanies the Pupil Textbook to provide pupils with high quality practice of each mathematical concept. Exercises have been carefully written and refined to ensure that they promote optimal procedural and conceptual understanding within carefully structured questions. A wide variety of exercise type provide pupils with the opportunity to practice intelligently, make conjectures, hypothesise, investigate, interpret, reason and solve problems within engaging and interesting contexts.

This book is about the promotion of all-attainment teaching in the mathematics classroom. The book contains the individual stories of six teachers working in three different schools: an inner London comprehensive with a largely working class intake, a comprehensive on the south coast and a rural comprehensive in Cambridgeshire. Each story describes and explains in brief the background of the teacher and how each came to teach all-attainment groups in mathematics. The research reported in this book is the only close examination and analysis of the practices and methodologies of successful all-attainment educators in the modern age. Three major themes are identified and examined: what sustains the teachers; how they introduce, develop and maintain all-attainment teaching; and how they make all-attainment work in the classroom. From an analysis of these findings, the book presents two interrelated models of the knowledge and understandings the research has generated. The first one is an overarching model of situation and horizon. Used as a means of visualizing and understanding the current situation for teachers, it can aid in encouraging change for the better. The second model offers teachers a way to think of all-attainment teaching as an enabler for all students, most especially for disadvantaged students. Both models have original and explanatory power and offer new ways of conceptualizing how mathematics teaching for social justice might be understood and implemented, offering fresh perspectives and unique insights. As such it will be of help to students at undergraduate, Masters and doctoral level and to education researchers more widely.

The six books in the 'Maths Problem Solving' series have been written for teachers to use during the numeracy lesson. They cover the 'solving problems' objectives from the numeracy framework. There is one book for each year group. The Year 6 book contains clear photocopiable resources organized into three chapters; Making decisions, Reasoning about numbers or shapes, Problems involving 'real life', and money or measures. Each chapter contains six lessons, one to be used each half term. The length of the problems in each book vary with short, medium and more extended problems for the children to solve. The problems on each page are mixed so the children do not assume that the solution process is the same each time but have to understand the problem. The problems are varied in their complexity. Some are one-step problems, other two-step and the vocabulary differs in each problem. The problems are presented in a meaningful, age-appropriate manner with topics the children will find relevant. They will be motivated to find the answer.

The six books in the 'Maths Problem Solving' series have been written for teachers to use during the numeracy lesson. They cover the 'solving problems' objectives from the numeracy framework. There is one book for each year group. The Year 5 book contains clear photocopiable resources organized into three chapters; Making decisions, Reasoning about numbers or shapes, Problems involving 'real life', and money or measures. Each chapter contains six lessons, one to be used each half term. The length of the problems in each book vary with short, medium and more extended problems for the children to solve. The problems on each page are mixed so the children do not assume that the solution process is the same each time but have to understand the problem. The problems are varied in their complexity. Some are one-step problems, other two-step and the vocabulary differs in each problem. The problems are presented in a meaningful, age-appropriate manner with topics the children will find relevant. They will be motivated to find the answer.

Christmas Activities for KS1 Maths contains fun festive mathematical activities, designed harness children's enthusiasm at this exciting time of the year and keep them on task. The activities are linked to the National Numeracy Strategy targets, so integrating them into your planning is easy. Reception children will practise counting from left to right and add one on to help Santa load his sleigh. Year 1 children will sort toys into pairs and estimate the number of stars. Year 2 children will have the opportunity to learn about money when buying presents and can practise counting back in 10s with starry numbers. Now you can exploit the children's natural enthusiasm for the season and inspire them to create especially good work with this bank of fun, stimulating ideas and activities - so you can all enjoy the run-up to Christmas!

Book 2 covers syllabus Modules 4 and 5 and provides teaching and learning activities that turn theory into practice to develop skills required in the syllabus for successful completion of the assessments at the end of each Module. Each book comes with a CD that contains a series of multiple choice questions to prepare students for the exam.

Note that the Floris Books editions of Jamie York's books have been completely revised for UK and European notation, language and metric systems. They are also suitable for use in South Africa, Australia and New Zealand. Experienced maths teacher and consultant Jamie York believes that a love of learning comes through the teacher, so his books are committed to supporting teachers in developing their classroom skills and to fostering a love of maths in their students. Unlike conventional maths textbooks, his books are not full of fancy graphics and contrived ways to make maths fun. Rather, they: -- focus on the essentials, so teachers aren't overwhelmed by endless lists of required materials -- are genuinely interesting and challenging, sparking students' enthusiasm for learning maths -- are developmentally appropriate to the age of the child, thereby encouraging inner mathemetical awareness and thinking -- favour depth over superficiality, to avoid teaching blind procedures to solve meaningless problems. This student's workbook for Class 7 contains practice questions, with room for working, on all the topics a student needs to cover in Steiner-Waldorf Class 7 (age 13-14). The book includes: Arithmetic review topics from previous years. New topics for Class 7: measurement, percents, ratios, rates, geometry, algebra, the square root algorithm. Mental maths: it is as important as ever for children to develop the ability to do calculations in their head. Each worksheet therefore begins with a secion on mental maths, focusing on one of our areas described in the Teacher's Source Book (available separately). Note that this workbook is also available in a pack of ten with a teacher's answer booklet.

More than 300 pages of engaging math questions and lessons for fans of Minecraft! This kid-friendly workbook features well-loved video game characters and concepts to reinforce the development of first through fourth grade math skills laid out in the national Common Core State Standards. Colorfully illustrated puzzles and high-interest, engaging practice problems and activities are perfect for fans of Minecraft and gaming. The curriculum-based content covered here includes lessons in: Adding, subtracting, multiplication, and division practice pages with colorful art Word problems that bring math and Minecrafting to life Math Facts pages for timed or untimed practice Code-breaking fun Place value, base 10, regrouping, skip counting, grouping, and more fundamental math skills! Skip to the pages that suit your child's needs and learning style or start at the beginning and advance page by page--it's up to you! As the workbook progresses, the problems become more challenging so that learners of all levels can enjoy an exciting, skill-building math adventure. The Mammoth Book of Math Activities for Minecrafters is as fun as it is educational. It's just what your little learner needs to get ahead academically!

Book 1 covers syllabus Modules 1-3 and provides teaching and learning activities that turn theory into practice to develop skills required in the syllabus for successful completion of the assessments at the end of each Module. Each book comes with a CD that contains a series of multiple choice questions to prepare students for the exam.

A volume in Research in Mathematics Education Series Editor Barbara J. Dougherty, Iowa State University This volume contains papers from the Second International Curriculum Conference sponsored by the Center for the Study of Mathematics Curriculum (CSMC). The intended audience includes policy makers, curriculum developers, researchers, teachers, teacher trainers, and anyone else interested in school mathematics curricula.

In this well-illustrated book the authors, Sinan Kanbir, Ken Clements, and Nerida Ellerton, tackle a persistent, and universal, problem in school mathematics-why do so many middle-school and secondary-school students find it difficult to learn algebra well? What makes the book important are the unique features which comprise the design-research approach that the authors adopted in seeking a solution to the problem. The first unique feature is that the authors offer an overview of the history of school algebra. Despite the fact that algebra has been an important component of secondary-school mathematics for more than three centuries, there has never been a comprehensive historical analysis of factors influencing the teaching and learning of that component. The authors identify, through historical analysis, six purposes of school algebra: (a) algebra as a body of knowledge essential to higher mathematical and scientific studies, (b) algebra as generalized arithmetic, (c) algebra as a prerequisite for entry to higher studies, (d) algebra as offering a language and set of procedures for modeling real-life problems, (e) algebra as an aid to describing structural properties in elementary mathematics, and (f) algebra as a study of variables. They also raise the question whether school algebra represents a unidimensional trait. Kanbir, Clements and Ellerton offer an unusual hybrid theoretical framework for their intervention study (by which seventh-grade students significantly improved their elementary algebra knowledge and skills). Their theoretical frame combined Charles Sanders Peirce's triadic signifier-interpretant-signified theory, which is in the realm of semiotics, with Johann Friedrich Herbart's theory of apperception, and Ken Clements' and Gina Del Campo's theory relating to the need to expand modes of communications in mathematics classrooms so that students engage in receptive and expressive modes. Practicing classroom teachers formed part of the research team. This book appears in Springer's series on the "History of Mathematics Education." Not only does it include an important analysis of the history of school algebra, but it also adopts a theoretical frame which relies more on "theories from the past," than on contemporary theories in the field of mathematics education. The results of the well-designed classroom intervention are sufficiently impressive that the study might havecreated and illuminated a pathway for future researchers to take.

Now in its fifth edition, the best-selling text Mathematical Knowledge for Primary Teachers provides trainee teachers with clear information about the fundamental mathematical ideas taught in primary schools. With rigorous and comprehensive coverage of all the mathematical knowledge primary teachers need, the text goes beyond rules and routines to help readers deepen their understanding of mathematical ideas and increase their confidence in teaching these ideas. The book has been updated to incorporate changes in the National Curriculum and the associated tests. In addition, Chapter 1 has been expanded to discuss mathematical understanding in the light of the challenges posed by the current changes. These include the re-introduction of traditional calculation methods for multiplication and division, the early coverage of abstract fractions calculations and much more. Features include: 'Check' questions to test the reader's understanding 'Challenges' to increase teachers' confidence and stretch their mathematical abilities 'Links with the classroom' to emphasise the relevance of ideas to the classroom context Straightforward coverage from theory to practice for all aspects of the Mathematics Framework. The book is accompanied by eResources which contains further visual activities and support, designed to scaffold and support the reader's own understanding. Essential reading for all practising and trainee primary teachers, this book is ideal for those who wish to increase their mathematical understanding and confidence in presenting mathematics in the classroom.