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."

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.

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.

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.

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!

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.

Offering a proven, high-quality, step-by-step approach that builds students' confidence, these texts give 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 new two-tier specifications are provided to give thorough preparation for the exams.

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.

A new title in the hugely successful Clever Kids series, this book is packed with memory, word and number games for you to solve. From battleships and mind-bending spot the differences to mazes and number pyramids, there are plenty of puzzles to give your brain a workout. Created by bestselling puzzle book author Gareth Moore, author of the chart-topping success Brain Games for Clever Kids.

Exam Board: Non-Specific Level: KS2 Subject: Mathematics First Teaching: September 2015 First Exam: Summer 2017 Regular practice is essential to achieving mastery. The write-in Year 2 Practice Book C provides carefully structured practice, including variation, for all concepts in the Textbooks. They help children to embed and consolidate their conceptual understanding and dig deeper into concepts through intelligent practice. To be used with the Rising Stars Mathematics Textbook with further practice books available; Rising Stars Mathematics Year 2 Practice Book A 9781783398133 and Rising Stars Mathematics Year 2 Practice Book B 9781783398140.

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

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.

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 4 is aimed at pupils in upper Key Stage 2 and covers the key subject areas of number, measurement, geometry and statistics, including Roman numerals, square numbers, equivalent fractions, problem solving, reflection, translation and line graphs. Three Progress Charts, together with four topic-based Check-up Tests, are provided to monitor learning and identify any gaps in understanding. A separate accompanying answer book, Mental Arithmetic 4 Answers (9780721708089), contains correct answers to all the questions, making marking quick and easy.

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, and testpacks for final exam preparation. 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.

Die Wiskunde Leerderboek is ontwikkel volgens die vereistes van die KABV. Die Leerderboek leer leerders tel, somme doen met maal, aftrek, deel en plusbewerkings, huisiesomme, woordsomme, leer hoe om resepte te lees en te verdubbel en verminder, getalpatrone uitwerk, tyd lees (digitaal en analoog) met somme daarby en hoe om met geld te werk, onder andere. Die aktiwiteite is tematies saamgestel en die werkvelle op die Onderwysersgids se CD bied nóg ekstra oefening na dié aktiwiteite voltooi is.