This maths scheme is written specifically for Scotland to help implement the recommendations from Improving Mathematics Education 5-14. It provides an increasing pace of progression; end of level assessment; oral and mental calculation; integral homework; and support for planning.

NHM Year 3 Activity Book: Has built-in assessment. Provides a structured development of each separate topic. Uses language at an appropriate reading level. Places maths in a variety of contexts. Provides a range of problem-solving activities. Reinforces and extends your pupil's fluency in number facts and mental calculation strategies.

This volume was written primarily for teachers who have developed (or who are being encouraged to develop) an awareness of and commitment to teaching mathematics for understanding. The research findings presented in these chapters suggest instructional implications worthy of these teachers' consideration. Often, the authors in this volume describe instructional practices or raise issues that have the potential to broaden views of teaching and learning mathematics. These chapters provide interesting problems and tasks used in the authors' work that readers can use in their own classrooms. The volume can also be used with courses for preservice and inservice teachers, collaborative teacher study groups, and other professional activities. A hallmark of good research is its connection to the relevant literature in the field, and the authors of this volume have themselves drawn from the research literature to inform their work. The reference lists accompanying these chapters can be useful resources and should not be overlooked. Most importantly for teacher education, this volume showcases the variety of ways teachers can become engaged in research, and we hope that readers will recognize that teacher research can be both accessible and beneficial in the preparation and professional development of teachers. This is not to suggest, however, that this volume is intended only for teachers and teacher educators. It is also intended to be an interesting, informative resource for other researchers, school administrators, and policy makers. The research presented in this volume is intended to provide an opportunity for those outside the classroom to gain insight into the kinds of issues that matter to teachers, the ways in which those issues might be researched, and the contributions that classroom research makes to mathematics education.

We are working with Cambridge International to gain endorsement for this forthcoming title. Confidently deliver and ensure full coverage of the latest Cambridge IGCSE (TM) Mathematics syllabuses (0580/0980) using a tried-and-tested approach to improve mathematical skills with an emphasis on problem solving and interrogating findings in new topics. - Trust an experienced team of authors offering advice on how to put theory into practice with plenty of exercises, worked examples, solutions and extended questions. - Encourage full understanding of mathematical principles with commentaries and additional explanations. - Develop problem-solving skills with guidance on techniques to help complete open-ended investigations and justify reasoning for solutions. - Check understanding with end of chapter student assessments to consolidate learning and test skills.

A Volume in The Montana Mathematics Enthusiast: Monograph Series in Mathematics EducationSeries Editor Bharath Sriraman, The University of MontanaThe intent of this monograph is to showcase successful implementation ofmathematical discourse in the classroom. Some questions that might beaddressed are: * How does a teacher begin to learn about using discourse purposefully toimprove mathematics teaching and learning?* How is discourse interwoven into professional development content courses toprovide teachers with the tools necessary to begin using discourse in their ownclassrooms?* What does a discourse-rich classroom look like and how is it different from other classrooms, from both theteacher's and the students' perspectives?* How can teachers of pre-service teachers integrate discourse into their content and methods courses?* How can we use discourse research to inform work with teachers, both pre- and in-service, for example, to helpthem know how to respond to elicited knowledge from students in their classrooms?* What are the discourse challenges in on-line mathematics courses offered for professional development? Canon-line classrooms also be discourse-rich? What would that look like?* In what ways does mathematical discourse differ from discourse in general?

The driving forces behind mathematics learning trajectories is the need to understand how children actually learn and make sense of mathematics-how they progress from prior knowledge, through intermediate understandings, to the mathematics target understandings-and how to use these insights to improve instruction and student learning. In this book, readers will come to understand what learning trajectories are, the research and methodology that are necessary for developing them, and gain insight into potential applications of learning trajectories. A synthesis and research outcome in their own right, learning trajectories provide detailed description of instructionally-grounded development of mathematical concepts and reasoning from the perspective of student learning, and, overall, building on decades of accumulated experience in mathematics education research. However, their greater importance may lie in their potential as frameworks that contribute an unprecedented coherence across classroom instruction, professional development, standards, and assessment, by focusing squarely on conceptual understanding and reasoning instead of assessment-driven procedural knowledge. This potential was sufficiently compelling as an organizing framework to have been cited as a basis for the Common Core mathematics standards, the new mathematics learning expectations that are now consistent across most of the United States. (Among the conference attendees were the writers of the Common Core State Standards for Mathematics, at the beginning of the Standards drafting process.) This book is an outgrowth of a conference on learning trajectories, hosted in 2009 at North Carolina State University, which examined research on learning trajectories. An overarching message of the chapters in this volume is that learning trajectories, by focusing on how children's mathematical reasoning develops, are coming into their own as a rigorous underpinning for both instruction and accountability. Some of the learning scientists featured in this volume have played major roles learning trajectories' evolution--from small-scale day-to-day conjectures by individual teachers, to systematic research endeavors that teachers and scientists alike can use to interpret standards, plan instruction, and formatively assess student work. The work in this volume will be of interest to mathematics educators, teachers, and professional development specialists.

A new title in the hugely successful Clever Kids series, this book is filled with sudoku puzzles to put your brain to the test. There are plenty of puzzles to test your mental-arithmetic and problem-solving skills. The book also features a simple sudoku tutorial at the start, featuring invaluable tips and tricks. Created by bestselling puzzle book author Gareth Moore, author of the chart-topping success Brain Games for Clever Kids.

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 8 contains practice questions, with room for working, on all the topics a student needs to cover in Steiner-Waldorf Class 8 (age 14-15). The book includes number bases, Pythagorean theorem, mensuration, percents and growth, and proportions and dimensional analysis. Note that this workbook is also available in a pack of ten with a teacher's answer booklet.

The Second edition of this extremely popular resource has been brought fully up to date for the revised specification. Covers the whole examined CCEA course including Pure Mathematics, Mechanics and Statistics. Includes a brand new section covering the unit on Discrete and Decision Mathematics. Has been subject to a detailed quality assurance check by a Maths expert prior to publication. Clearly explains the theory for each subject. Followed by a generous number of questions with answers at the rear. The authors, Neill Hamilton and Sam Stevenson, will be well-known to teachers in Northern Ireland. CONTENTS Unit 1: Pure Mathematics: 1 Simplifying Algebraic Expressions 2 Equations 3 Simultaneous Equations 4 Trigonometry 5 Quadratic Inequalities 6 Differentiation 7 Tangents and Normals 8 Turning Points 9 Integration 10 Area 11 Matrices 12 Logarithms 13 Solving Index Equations Using Logarithms 14 Logarithms and Log Graphs. Unit 2: Mechanics: 15 Displacement and Velocity/Time Graph 16 Constant Acceleration 17 Newton's Laws 18 Forces 19 Vectors 20 Friction 21 Connected Bodies 22 Moments Unit 3: Statistics: 23 Bivariate Analysis 24 Measures of Central Tendency and Dispersion 25 Probability 26 Binomial Distribution 27 Normal Distribution. Unit 4: Discrete and Decision Mathematics: 28 Counting 29 Boolean Algebra 30 Linear Programming 31 Time Series 32 Critical Path Analysis. ANSWERS

The book is based on the recently held Symposium on mathematics and its connections to the arts and sciences, namely the second Mathematics and its Connections to the Arts and Sciences (MACAS2)Symposium in Odense, Denmark (May 29-31, 2007). The chapters are an eclectic collection of interdisciplinary research initiatives undertaken by mathematics educators with implications for practitioners concerned with teaching and learning processes. The papers cover a wide genre of research domains within mathematics education (cognition, modelling, problem solving, teacher education, ethnomathematics, mathematical/statistical literacy, curricular and technological initiatives and research related to science education). The major interdisciplinary themes of the papers in this book are: 1. How can modelling activities be used to foster interdisciplinary projects in the school and university setting? 2. How can the intricate connections between mathematics and physics be used to design and research interdisciplinary activities in schools and the university? 3. How can research within the ethnomathematics domain of mathematics education be linked to critical mathematics education and interdisciplinary projects involving mathematics, art and culture? 4. How can the push for mathematical and statistical literacy be connected to other subjects in the school curricula and emphasized via interdisciplinary activities? 5. What are concrete examples of classroom experiments with empirical data that demonstrate new and unusual connections/relations between mathematics, arts and the sciences with implications for pedagogy? 6. What is the role of technology and new ICT interfaces in linking communities of learners in interdisciplinary activities involving problem solving? The book is an important contribution to the literature on educational initiatives in interdisciplinary education increasing vital for emerging professions of the 21st century.

Maths Progress Depth Books are part of the series that develops reasoning, fluency and problem-solving to boost students' confidence at Key Stage 3 and give them the best preparation for progressing to GCSE study. The Depth Books provide scaffolding and support on key concepts for each lesson in the Core Textbook so students can explore key concepts to their fullest. Also available in the series: Core Textbooks that cover the whole KS3 curriculum with a focus on pace, linking topics and building on concepts to develop reasoning, fluency and problem-solving skills Support Books that provide scaffolding and support on key concepts for each unit in the Core Textbook Purposeful Practice Books fully aligned to the course and based on cutting-edge approaches such as minimal variation and small steps to help students make the most of practice.

The Key Stage 2 Maths series covers mathematical technique for SATs, GL Assessment and CEM 11+ exams, CATs, the Northern Ireland Transfer Test, Common Entrance and scholarship examinations for independent schools, and all other styles of mathematical test. This series of books is designed to be used in sequence from Workbook 1 onwards. The workbook series is complemented by testbooks that reinforce a child's mathematical technique and knowledge. Answers, Progress Charts and a Certificate of Achievement are included at the end of every book. All our materials have been rigorously classroom tested. The methodologies have been successfully used in AE Tuition classes for over 20 years.

The Key Stage 2 Maths series covers mathematical technique for SATs, GL Assessment and CEM 11+ exams, CATs, the Northern Ireland Transfer Test, Common Entrance and scholarship examinations for independent schools, and all other styles of mathematical test. This series of books is designed to be used in sequence from Workbook 1 onwards. The workbook series is complemented by testbooks that reinforce a child's mathematical technique and knowledge. Answers, Progress Charts and a Certificate of Achievement are included at the end of every book. All our materials have been rigorously classroom tested. The methodologies have been successfully used in AE Tuition classes for over 20 years.

Target Grade 3 workbooks build skills from Grade 2 and extend into Grade 4 to catch up, keep up and make expected progress in GCSE (9-1) Mathematics. Target's unique approach tackles the key misconceptions and barriers identified at each grade level to build essential exam skills for success. Each unit breaks down mathematical concepts into the core components to tackle misunderstandings at the root, add depth to knowledge and build confidence. After checking their basic knowledge and boosting skills, students can test their knowledge with exam-style questions and problem-solving exercises. The workbooks also includes a glossary, useful formulae and an answers section to support independent working both in and out of the classroom. Exam Board: Pearson Edexcel Level: GCSE (9-1) Subject: Mathematics First Teaching: September 2015 First Exams: June 2017 Part of the Target Edexcel GCSE (9-1) Mathematics series: Target Grade 3 Algebra and Shape Target Grade 3 Number and Statistics Target Grade 5 Number and Algebra Target Grade 5 Shape and Statistics Target Grade 7 Algebra and Shape Target Grade 7 Numbers and Statistics Target Grade 9 Algebra Target Grade 9 Algebraic techniques, shape & statistics Target workbooks make the perfect partner to the GCSE (9-1) Revise! series.

A Volume in The Montana Mathematics Enthusiast: Monograph Series in Mathematics Education Series Editor Bharath Sriraman, The University of Montana International Perspectives and Research on Social Justice in Mathematics Education is the highly acclaimed inaugural monograph of The Montana Mathematics Enthusiast now available through IAP. The book covers prescient social, political and ethical issues for the domain of education in general and mathematics education in particular from the perspectives of critical theory, feminist theory and social justice research. The major themes in the book are (1) relevant mathematics, teaching and learning practices for minority and marginalized students in Australia, Brazil, South Africa, Israel, Palestine, and the United States., (2) closing the achievement gap in the U.K, U.S and Iceland across classes, ethnicities and gender, and (3) the political dimensions of mathematics. The fourteen chapters are written by leading researchers in the international community interested and active in research issues of equity and social justice.

A Volume in The Montana Mathematics Enthusiast: Monograph Series in Mathematics Education Series Editor Bharath Sriraman, The University of Montana Our innovative spirit and creativity lies beneath the comforts and security of today's technologically evolved society. Scientists, inventors, investors, artists and leaders play a vital role in the advancement and transmission of knowledge. Mathematics, in particular, plays a central role in numerous professions and has historically served as the gatekeeper to numerous other areas of study, particularly the hard sciences, engineering and business. Mathematics is also a major component in standardized tests in the U.S., and in university entrance exams in numerous parts of world. Creativity and imagination is often evident when young children begin to develop numeric and spatial concepts, and explore mathematical tasks that capture their interest. Creativity is also an essential ingredient in the work of professional mathematicians.Yet, the bulk of mathematical thinking encouraged in the institutionalized setting of schools is focused on rote learning, memorization, and the mastery of numerous skills to solve specific problems prescribed by the curricula or aimed at standardized testing. Given the lack of research based perspectives on talent development in mathematics education, this monograph is specifically focused on contributions towards the constructs of creativity and giftedness in mathematics. This monograph presents new perspectives for talent development in the mathematics classroom and gives insights into the psychology of creativity and giftedness. The book is aimed at classroom teachers, coordinators of gifted programs, math contest coaches, graduate students and researchers interested in creativity, giftedness, and talent development in mathematics.

Heinemann Active Maths: Engages pupils with a bank of stimulating, varied and exciting interactive and print-based activities. Follows an active approach to maths teaching and learning with an emphasis on real-life situations. Helps children develop a concrete understanding of maths concepts through investigation and discussion.