Mental Arithmetic provides rich and varied practice to develop pupils' essential maths skills and prepare them for all aspects of the Key Stage 2 national tests. It may also be used as preparation for the 11+, and with older students for consolidation and recovery. Tailored to meet the requirements of the National Curriculum for primary mathematics, each book contains 36 one-page tests. Each test is presented in a unique three-part format comprising: questions where use of language is kept to a minimum; questions using number vocabulary; questions focusing on one- and two-step word problems. Structured according to ability rather than age, the series allows children to work at their own pace, building confidence and fluency. Two Entry Tests are available in the Mental Arithmetic Teacher's Guide and on the Schofield & Sims website, enabling teachers, parents and tutors to select the appropriate book for each child. All the books can be used flexibly for individual, paired, group or whole-class maths practice, as well as for homework and one-to-one intervention.Mental Arithmetic Book 1 is aimed at pupils in lower Key Stage 2 and covers the key subject areas of number, measurement, geometry and statistics, including place value, simple fractions, times tables, telling the time, giving change, and 2-D and 3-D shapes. Three Progress Charts are provided to monitor learning as pupils work through the book, while topic-based Check-up Tests at the back of the book identify any gaps in understanding. A separate accompanying answer book, Mental Arithmetic Book 1 Answers (ISBN 9780721708058), contains correct answers to all the questions, making marking quick and easy.

Strengthen your pupils' understanding The Exploring maths Class Books are organised into units to accompany the Teacher's Book and are designed to help strengthen pupils' understanding. Includes activities, games and investigations that put maths in a real world context. Worked examples at the beginning of each lesson help pupils work independently. 3 levels of differentiation in each exercise help you pitch work at the right level. Specific Functional Skills tasks focus on the important process skills.

Highly motivating differentiated Student Books develop confidence, fluency and problem-solving, supporting progression: *Full ability range: Pi (Tier 1), Theta (Tier 2) and Delta (Tier 3)* Unit structure based on mastery lessons, formative test, consolidation and extension lessons and a summative unit test* Reflection (metacognition) is explicitly encouraged to build perseverance and confidence* STEM and Finance lessons highlight these important links to using maths in real life* Reasoning and Problem-solving are nurtured in preparation for progressing to GCSE If you're an institution you can get the answers for this book as a free download.If you are a parent or tutor please contact customer services at [email protected] who will send you the download directly.

Strengthen your pupils' understanding The Exploring maths Class Books are organised into units to accompany the Teacher's Book and are designed to help strengthen pupils' understanding. Includes activities, games and investigations that put maths in a real world context. Worked examples at the beginning of each lesson help pupils work independently. 3 levels of differentiation in each exercise help you pitch work at the right level. Specific Functional Skills tasks focus on the important process skills. "How well are you doing?" levelled self-assessment tests help pupils see what they need to do to improve. Interesting facts inform pupils about the cultural and social roots of maths.

An activity book to learn mathematics with fun. Target audience 5/9 years. Inside: Additions, subtractions, multiplications, divisions, logic and problem solving. In addition 8 pages of stickers to complete games.This is a volume with good contents in simple but qualitative format.

Children love learning with Smart-kids. Bright illustrations, stickers, creative activities and fun-loving characters bring the South African Maths curriculum to life. This Smart-kids workbook is specially written for Grade R learners by experienced South African teachers and contains valuable notes, tips and answers for parents.

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.

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.

This Complete Revision & Practice book is a superb all-in-one guide to 11+ Maths (for GL & other test providers)! There are crystal-clear study notes and step-by-step examples for each question type - plus a huge helping of questions to help pupils practise what they've learned for each topic. We've also included mixed-topic tests and two super-realistic Maths practice papers, so pupils will know just what to expect on the big day. There's no better way to prepare! What's more, we've thrown in a free Online Edition that lets you read the entire book on a PC, Mac or tablet - you'll have access via 'My Online Products' on the CGP website from the moment you place your order. When the book arrives, just use the unique code printed inside the cover to gain full access.

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."

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.

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.

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.

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.

A fantastic follow-up to Brain Games for Clever Kids, this book is brimming with maths puzzles designed to help kids make the most of their grey matter.

From times tables and shape-based search scenes, to mental arithmetic conundrums and pictorial puzzles, there's plenty of content to bamboozle the brain.

From bestselling puzzle book author Gareth Moore.

What makes the Platinum mathematics course unique? Activities are stimulating and link to real life; separate mental maths section (grade 7 teacher's guide) and answer section (grade 8 & 9 learner's book); challenge and Did you know features will stimulate learner engagement; the text is suitable for South African learners in diverse school contexts; use of colour enhances the easy understanding of the text. 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!

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!

This pack contains four realistic Maths practice tests and a detailed answer book - it's excellent preparation for the 11+ and other selective entrance exams. We've thrown in a detailed answer book containing full explanations of every answer, plus a separate Parents' Guide packed with helpful notes on what to expect from the 11+ tests, how to make full use of practice papers and other handy info. Free audio instructions for each individual paper can be downloaded from the CGP website - just follow the link in the pack! These papers are ideal for the 11+ tests set by GL Assessment and other test providers. Separate papers for the CEM tests, Kent Test and Buckinghamshire Secondary Transfer Test are also available. This Practice Paper pack 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!

This work is a complete, comprehensive and progressive teaching and learning programme. It is for children sitting 11+, SATs, common entrance and scholarship examinations. Arranged in a topic by topic format, it adopts a more traditional approach. A unique code is used covering Information, Technique and Exercises. Clear methodologies, with examples, are given for each technique. Plenty of practice exercises are also included. All books are rigorously classroom tested. Methodologies have been used in AE Tuition classes for over 20 years. There is over 85 per cent success rate in 11+ and selection tests. These books are designed to be used in sequence from Workbook 1 onwards and are frequently revised and updated. Answers, Progress Charts and a Certificate of Achievement are included at the end of every book.