Consolidating pupils' learning The Exploring maths Home Books support and consolidate the work carried out in class. Each lesson has a homework task reinforcing what's been taught in class. Each homework task reminds pupils what they have learned in the lesson, so that they can apply it to the questions. Accessible language ensures that pupils can work without adult support.

What makes the Platinum Mathematical literacy grade 12 course unique? Key words boxes, remember boxes, Did you know? and term summaries in the learner's book, enhance understanding of important concepts; worked examples prior to exercises, provide a clear, visual example for learners to follow when completing exercises; margin notes assist learners to further understand important concepts; revision tests after each topic, in the learner's book serve as adequate test and exam preparation; term 4 in the learner's book focuses completely on exam revision and exam preparation; photocopiable target worksheets for each topic provide for additional remediation and extension exercises; photocopiable tests and examinations which satisfy CAPS formal assessment requirements; all formal assessments are fully photocopiable and have detailed memoranda attached. Platinum - simply superior: Superior CAPS coverage and written by expert authors; superior illustrations and activities to improve results and motivate learners; superior teacher support to save time and make teaching easy, including photocopiable worksheets; superior quality = exam success!

This book is designed for use throughout the year, whilst the topic is being studied. By working though the worked examples and advice from examiners, students learn how to avoid the common pitfalls and gain maximum marks in the exam. Plenty of questions are included for students to practice, and there is a link back to the Students' Books for further study. The Examiners' tips then reveal how to maximize marks.

Fluid dynamics is an ancient science incredibly alive today. Modern technol ogy and new needs require a deeper knowledge of the behavior of real fluids, and new discoveries or steps forward pose, quite often, challenging and diffi cult new mathematical {:: oblems. In this framework, a special role is played by incompressible nonviscous (sometimes called perfect) flows. This is a mathematical model consisting essentially of an evolution equation (the Euler equation) for the velocity field of fluids. Such an equation, which is nothing other than the Newton laws plus some additional structural hypo theses, was discovered by Euler in 1755, and although it is more than two centuries old, many fundamental questions concerning its solutions are still open. In particular, it is not known whether the solutions, for reasonably general initial conditions, develop singularities in a finite time, and very little is known about the long-term behavior of smooth solutions. These and other basic problems are still open, and this is one of the reasons why the mathe matical theory of perfect flows is far from being completed. Incompressible flows have been attached, by many distinguished mathe maticians, with a large variety of mathematical techniques so that, today, this field constitutes a very rich and stimulating part of applied mathematics."

Heinemann Active Maths' bright and lively Pupil Books have been designed to further consolidate children's learning through independent practice. They are closely linked to the Teacher Activity Cards and each Heinemann Active Maths outcome. Each Pupil Book contains: 'I can...' statements to encourage self-assessment 'Rocket' questions to extend and challenge children's learning Teacher Activity Card references so you know which card the Pupil Book pages link to.

A volume in Research on Technology and the Teaching and Learning of Mathematics: Syntheses, Cases, and Perspectives According to NCTM's Principles and Standards for School Mathematics, ""Technology is essential in teaching and learning of mathematics; it influences the mathematics that is taught and it enhances students' learning."" How does research inform this clarion call for technology in mathematics teaching and learning? In response to the need to craft appropriate roles for technology in school mathematics new technological approaches have been applied to the teaching and learning of mathematics, and these approaches have been examined by researchers world-wide. The first volume provides insight into what research suggests about the nature of mathematics learning in technological environments. Included in this volume are syntheses of research on technology in the learning of rational number, algebra, elementary and secondary geometry, mathematical modeling, and calculus. Additional chapters synthesize research on technology in the practice of teaching and on equity issues in the use of technology in mathematics instruction.Instead of simply reporting achievement scores of students who use technology in their learning, authors provide thoughtful analyses of bodies of research with the goal of understanding the ways in which technology affects what and how students learn. Each of the chapters in this volume is written by a team of experts whose own research has provided important guidance to the field.

In this text the authors consider the Korteweg-de Vries (KdV) equation (ut = - uxxx + 6uux) with periodic boundary conditions. Derived to describe long surface waves in a narrow and shallow channel, this equation in fact models waves in homogeneous, weakly nonlinear and weakly dispersive media in general. Viewing the KdV equation as an infinite dimensional, and in fact integrable Hamiltonian system, we first construct action-angle coordinates which turn out to be globally defined. They make evident that all solutions of the periodic KdV equation are periodic, quasi-periodic or almost-periodic in time. Also, their construction leads to some new results along the way. Subsequently, these coordinates allow us to apply a general KAM theorem for a class of integrable Hamiltonian pde's, proving that large families of periodic and quasi-periodic solutions persist under sufficiently small Hamiltonian perturbations. The pertinent nondegeneracy conditions are verified by calculating the first few Birkhoff normal form terms -- an essentially elementary calculation.

A fun, colourful Maths Activity Book brimming with charming characters, engaging activities and crystal-clear explanations. Perfect for learning at home or in class, it's loaded with Maths practice for ages 4-5 (Reception), and covers adding, taking away, 2D & 3D shapes and more. Each topic is explained in easy-to-understand language, followed by fun-packed activities and challenges designed to boost your child's confidence and make sure all that knowledge really sticks! We've also thrown in exciting puzzles so your child can apply their Maths skills in a different context. Self-assessment boxes at the end of each topic can be used to keep track of their progress.

This fantastic Functional Skills book for City & Guilds has everything students need to prepare for the Level 2 Maths test! It covers every topic and all the calculator and non-calculator skills needed for the latest L2 Functional Skills specifications. Everything's explained in CGP's easy-to-understand style, with examples and notes galore. Every topic is followed by a page of practice questions, so students can learn then test themselves as they go. We've also included exam-style practice papers with full answers so you'll know what to expect on the big day. Nice!

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.

Offering a proven, high-quality, step-by-step approach that builds students' confidence, these texts give your students the rigorous practice they need to get better results in the two-tier exams. Clearly organised, easy-to-use and carefully structured main texts provide thorough preparation for students on either a 1-year or 2-year course with clear, student-friendly language used throughout Fully worked examples with explanatory notes and commentary followed by carefully graded exercises offer gradual progression Exam and exam-style questions, presented in non-calculator and calculator section reviews, give further opportunities to consolidate skills acquired over a number of chapters Further compilations of exam and exam-style questions, which reflect how the examiners will assess the two-tier specifications are provided to give thorough preparation for the exams.

Algebra is probably the most difficult aspect of mathematics to teach successfully and it is widely viewed by pupils as "boring" and "pointless". Nonetheless, it provides the key to the great power and potential interest of mathematics. At a time when much is being done to improve children's understanding of number, algebra teaching is too often characterized by ineffective rote learning approaches with little heed being taken of research findings and the potential of technology. This authoritative book shows a way forward.

Absolute clarity is the aim with a new generation of practice guide. This guide has been expertly compiled and edited by successful teachers of Mathematics and highly experienced examiners. Design plays a key role in making the subject feel accessible to everyone with simple, clear examples and questions. Practising questions repeatedly is essential to good preparation, improving understanding and confidence. This guide has combined revision with tips and more practice questions than you could shake a stick at. All the essential ingredients for getting a grade you can be proud of. Each specification topic has been referenced and exemplified, with questions of graduated difficulty to provide the perfect level of challenge every step of the way.

Math educator Kate Snow gives parents the tools they need to teach Math with Confidence. This scripted, open-and-go program leads parents step-by-step through teaching all the concepts second-graders need to master: reading, writing, and comparing numbers to 1000 adding and subtracting two- and three-digit numbers solving addition and subtraction word problems telling time, counting money, measuring length reading graphs, identifying shapes, and understanding simple fractions Short, lively lessons will hold a child's attention by incorporating hands-on activities, games, and real-life situations. Straightforward, colorful worksheets give students practice with new concepts and review previously-learned material. Snow makes math fun by including optional enrichment lessons, with suggestions for wonderful math picture books to enjoy together and application activities to make math come alive. Beyond just telling parents what to do, Second Grade Math with Confidence also helps them understand why the lessons are designed the way they are, giving them the knowledge and confidence to help their children learn. Using Second Grade Math with Confidence will allow parents to build a strong math foundation for their children. Age Range: 7 to 8 Grade: Second Grade

This CGP Workbook (including answers) is packed with practice questions for Key Stage Three Maths. It's ideal for students working at a higher level, with a huge range of skill-building questions for every topic and answers at the back. A matching KS3 Maths Study Guide is also available - see 9781841460307.

SHM Activity Books: Provide written records of pupils' work to aid AiFL Reinforce fluency of number facts and mental calculation strategies through structured development of each topic. Provide topic assessments.

Developed directly with the IB to be fully integrated with the revised MYP Mathematics framework, for first teaching in 2020. This comprehensive, inquiry-based resource empowers students to develop a deep and engaged understanding of mathematics. MYP Mathematics 4&5 Extended takes learners beyond the MYP Mathematics 4&5 Standard resource, providing opportunities to master more advanced mathematical concepts and skills, and laying the foundations for Higher Level Mathematics at IB Diploma. The inquiry-led, concept-based approach combined with links to global contexts equips learners to acquire and practice essential knowledge and skills while exploring the wider applications of mathematics. Fully comprehensive, the resource addresses all the topics suggested in the MYP Extended Mathematics Skills Framework, including the enrichment topics.

This book contains everything children (and parents) need to know about the 11+ Maths questions set by CEM . It covers a wide range of CEM-style topics to provide students with the most effective preparation possible. It contains crystal-clear study notes, step-by-step methods for answering questions accurately and round-up questions at the end of each topic (with answers). A pull-out Benchmark Test is included to help identify the level children are working at, along with a detailed Parents' Guide packed with useful advice about preparing for the 11+ test 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!

Heinemann Active Maths' bright and lively Pupil Books have been designed to further consolidate children's learning through independent practice. They are closely linked to the Teacher Activity Cards and each Heinemann Active Maths outcome. Each Pupil Book contains: 'I can...' statements to encourage self-assessment. 'Rocket' questions to extend and challenge children's learning. Teacher Activity Card references so you know which card the Pupil Book pages link to. * This component forms part of the First Level Beyond Number Starter Pack, but can be purchased individually.

Exam board: Pearson Edexcel Level: IGCSE Subject: Mathematics First teaching: September 2016 First exams: Summer 2018 Target success in Pearson Edexcel International GCSE Mathematics with this proven formula for effective, structured revision; key content coverage and plentiful worked examples are combined with exam-style questions to create a revision guide that students can rely on to review, strengthen and test their knowledge. * Plan and manage a successful revision programme using the topic-by-topic planner * Consolidate subject knowledge by working through clear and focused content coverage * Strategically target revision with diagnostic questions to establish which areas need focus * Get assessment-ready with short exam-style questions and review questions that focus on problem-solving and reasoning; answers are provided in the back of the book with full worked solutions online for free * Improve exam technique through expert tips and examples of typical mistakes to avoid

NHM Year 5 Textbook: Uses language at an appropriate reading level. Places maths in a variety of contexts. Provides problem-solving activities. Reinforces and extends your pupils' fluency in number facts and mental calculation strategies.

Can be used as a learning tool in conjunction with our other maths materials. This is useful preparatory material for children who will eventually be sitting for the 11+ grammar school or independent school exams. Provides practice for GL Assessment, CEM and all other styles of mathematical tests. During an intense learning phase children also improve their maths skills through a testing process, provided that the main emphasis is focused on acquiring techniques from our workbooks.The tests are not exclusively book specific but they are progressive and emphasise the elements of the workbooks in order.

THE book for elementary education mathematics content courses! Designed to help prospective teachers of elementary school mathematics learn content beyond the rote level, this text stimulates readers to think beyond just getting the problem right and fosters their development into thoughtful, reflective, self-motivated, life-long learners. It stresses the what and why of elementary school mathematics content. Hints are provided about how to teach the content but this is mostly left to courses and texts that are dedicated to that purpose. The text is organized around the National Council for Teachers of Mathematics' Principles and Standards for School Mathematics. The Standards dictate the basic sections of the text. Within each section, appropriate specific topics are developed, intertwined with technology, problem solving, assessment, equity issues, planning, teaching skills, use of manipulatives, sequencing, and much more. In addition, major focal points of the Standards are emphasized throughout: effective teachers of mathematics should be able to motivate all students to learn, should understand the developmental levels of how children learn, should concentrate on what children need to become active participants in the learning environment, and should be engaged in ongoing investigations of new mathematical concepts and teaching strategies. Mathematics Content for Elementary Teachers is based on several fundamental premises: *The focus of mathematics education should be on the process, not the answer. *Elementary teachers should know the mathematics content they are teaching, know more than the content they are teaching, and teach from the overflow of knowledge. *It is important for teachers to be flexible in allowing students to use different procedures--teaching from the "overflow of knowledge" implies knowing how to do a given operation more than one way and being willing to examine many different ways. *Teachers need to learn to carefully cover the topics to be taught, to reflect upon them, and to be able to organize them. To help prospective elementary teachers concentrate on the mathematics content they will be expected to teach and begin to build the foundation for the methods they will use, this text includes only elementary mathematics content and does not address middle school concepts. Pedagogical features: *The text is organized according to NCTM Standards. *An informal writing style speaks directly to readers and is geared to pre-service teachers. *Focus is given to multiple methods of problem solving at four developmental levels. *Questions, exercises, and activities are interspersed throughout each section rather than gathered at the end of each chapter. *Complete solutions for exercises are provided.

Pure Core 1 2 was written to provide thorough preparation for the revised 2004 specification. Based on the first editions, this series helps you to prepare for the new exams.