Rapid Maths is the ideal way to help struggling learners catch up with their peers in maths. With lots of variety plus software and games, Rapid Maths makes catch-up fun and gives each child personalised support and repeated practice in the fundamentals of numeracy. Plus, it's proven to double children's progress in number skills. Helps children master basic number skills to enable them to access the curriculum. Clear layout and a concrete-pictorial-abstract approach helps to support struggling learners. Gradual spiral progression in number skills to aid confidence. Varied and engaging 'real life' maths activities. Time saving and accessible teacher and TA resources. Ideal for home learning. Textbook with questions for child to work through with adult support.

-Makes mathematics education research on fraction concepts accessible and understandable to pre-service and in-service teachers of grades K-8, allowing teachers to understand evidence in student work and make better instructional decisions. -Uses extensive annotated samples of student work, helping teachers improve their ability to recognize and assess student errors and misconceptions, as well as their understanding, learning, and fluency of fraction concepts. -Built off the wide-scale research gathered in the Ongoing Assessment Project (OGAP), drawn from hundreds of teachers and thousands of examples of student work. -Each chapter includes student work samples and vignettes to illuminate the research, guidance on CCSSM standards, end of chapter questions, professional development activities, and instructional links that help teachers relate concepts back to their own instructional materials and programs. -This edition has been updated throughout with the latest research, CCSSM standards, additional examples and vignettes, and more.

Uncover the unnamed heroes who contributed to some of our world’s most important science.

Explore the hidden heroes that created the miraculous things we find all around us in this science book for children aged 7-9.

Do you ever find yourself feeling curious about who created the science behind some of our most impressive structures? Or wonder who it was that invented the equipment you find in your classroom? Well, wonder no more. This groundbreaking book covers all the lost contributors to the world’s most important scientific discoveries.

This science book for children offers:

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.

Most education research is undertaken in western developed countries. While some research from developing countries does make it into research journals from time to time, but these articles only emphasize the rarity of research in developing countries. The proposed book is unique in that it will cover education in Papua New Guinea over the millennia. Papua New Guinea's multicultural society with relatively recent contact with Europe and the Middle East provides a cameo of the development of education in a country with both a colonial history and a coup-less transition to independence. Discussion will focus on specific areas of mathematics education that have been impacted by policies, research, circumstances and other influences, with particular emphasis on pressures on education in the last one and half centuries. This volume will be one of the few records of this kind in the education research literature as an in-depth record and critique of how school mathematics has been grown in Papua New Guinea from the late 1800s, and should be a useful addition to graduate programs mathematics education courses, history of mathematics, as well as the interdisciplinary fields of cross cultural studies, scholarship focusing on globalization and post / decolonialism, linguistics, educational administration and policy, technology education, teacher education, and gender studies.

Increase students' skills, confidence and chance of success in their National 5 Maths exam, with full course coverage delivered through the trusted TeeJay approach. This book provides hundreds of practice questions, with progression and consolidation - the core TeeJay philosophy - underpinning every exercise and chapter. - Use Book 4+, followed by Book N5, to cover the entire National 5 course - Chapter Zero revises all of the strands from Third Level - Every chapter ends with 'Remember Remember' exercises for revision and assessment - Every third chapter ends with 'Practice Makes Perfect' exercises that consolidate learning across those 3 chapters, plus cumulative exercises based on all chapters up to that point - Plenty of non-calculator exercises are included to enhance numeracy skills - Answers for all questions are in the back of the book; answers for the 'Practice Makes Perfect' home exercises are available on the TeeJay Maths website

This Progress with Oxford: Numbers and Counting up to 100 Age 5-6 workbook will help your child to progress with numbers and counting while having fun so they will quickly learn to count, read and write numbers up to 100 and spell number words up to 20. They will also be introduced to counting in multiples: in twos, fives and tens. The Progress with Oxford series has been created to help every child develop essential skills at home, with minimal help and support. Picture clues are used to show very young children how to complete activities, whilst reminder boxes, tips and advice support older children to become self-sufficient learners. A lively character accompanies your child through all the colourful and engaging activities, and fun stickers are included to reward their work. A handy progress chart at the end of each book captures their achievements, so you both know what to do next. You can find even more practical advice, free eBooks and fun activities to help your child progress on our award-winning website, oxfordowl.co.uk. Let's get them flying!

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.

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 designed to build confidence and fluency. 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 3 is aimed at pupils in lower Key Stage 2 and covers the key subject areas of number, measurement, geometry and statistics, including negative numbers, Roman numerals, decimals, equivalent fractions, times tables, digital and analogue clocks, problem solving and classifying shapes. 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 Book 3 Answers (ISBN 9780721708072), contains correct answers to all the questions, making marking quick and easy.

This Cambridge IGCSE (R) Mathematics Core and Extended series has been authored to meet the requirements of the Cambridge IGCSE (R) Mathematics syllabus (0580/0980), for first examination from 2020. It contains detailed explanations of concepts and clear worked examples, followed by practice exercises to allow students to consolidate and practise the required mathematical skills. This edition comes with a two-year subscription to Cambridge Online Mathematics and complements the print coursebook by offering further explanations, interactive worked examples, worksheets and quizzes. Cambridge Online Mathematics also allows teachers to set classroom and homework exercises to individual students or entire classes, with the ability to track student progress. For additional teaching material - such as core and extension worksheets - go to the Cambridge University Press website.

This pack from CGP contains two sets of complete practice exams, with detailed answers and mark schemes. They match the content and style of the Grade 9-1 Foundation Level Maths GCSE exams, with a separate booklet for each paper - just like the real thing. The mark scheme is straightforward to use, including hints and tips, making this the perfect way to prepare for the exams.

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."

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.

NHM Year 1 Activity Books: Have built-in assessment. Provide a structured development of each separate topic. Use language at an appropriate reading level. Place maths in a variety of contexts. Lead more able children through a range of problem-solving activities.

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 1 Activity Books: Have built-in assessment. Provide a structured development of each separate topic. Use language at an appropriate reading level. Place maths in a variety of contexts. Lead more able children through a range of problem-solving activities.

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.

Written specifically for the needs of the Caribbean by an unsurpassed author team, this comprehensive text covers the latest CSEC mathematics syllabus, examined from 2018. Mathematics for CSEC is a clear and challenging text with extensive practice and worked examples to strengthen and consolidate student knowledge as well as build confidence ahead of the examination. Carefully structured skills development also facilitates smooth progression through the course. This title now also includes a chapter to provide support for the SBA.