This smashing Complete Revision & Practice book has everything students need for success in Key Stage Three Maths! Every topic is explained with clear, friendly notes and worked examples. There are also plenty of questions, mixed-topic tests and a brilliant new practice exam, all complete with answers - perfect for testing students' skills at the end of KS3! And finally, a free Online Edition is included - just use the unique code printed in the book to access it on a PC, Mac or tablet!

Spot On is spot on! The most popular course in South Africa, Spot On has everything a learner needs in one book. Spot On improves results, makes learning enjoyable, makes teaching a pleasure and is easy to use. The Spot On Teacher’s Guide comes with printable planning material, Formal Assessment Tasks, revision tests and exams.

Just like the real thing - only shorter! Help your child prepare for the SATS with these bite-sized national test papers. This book offers: * 3 complete mini-reading tests which include fiction and non-fiction texts. * 3 complete mini Grammar, Punctuation and Spelling Tests * 2 complete Maths Sets (each set contains 2 Tests) Question types and mark schemes match the format of the National tests and offer an authentic SATs experience, though the flexible format allows them to be used at any time of the day. A progress chart is also supplied to give you some indication of the scores your child is likely to attain. Please note that this is all new content, if you want more mini Tests please try the other titles in the 10-Minute Tests series.

Create confident and capable mathematicians with accessible explanations and engaging activities. This book gradually builds on prior knowledge to deepen understanding through clear explanations, worked examples and hundreds of differentiated questions, as well as a range of activities that you can choose from to build your lessons and teaching plans. Designed to be used flexibly, this scheme covers the four 'what matters' statements and follows the five principles of progression from the Curriculum for Wales. - Develop pupils' conceptual understanding and communication with symbols throughout using plenty of worked examples and banded questions that get progressively more difficult - Target fluency, logical reasoning and strategic competence by using the markers included in each exercise question - Improve outcomes by selecting from banded questions most suited to enable progression - Ease the transition between progression steps with skill-checker activities at the start of each topic and review questions after each chapter - Link topics to other areas of learning, such as Science and Technology, with cross-curricular activities and discussion points - Improve pupils' understanding of maths in finance with a dedicated chapter and financial contexts highlighted throughout

This fantastic Functional Skills book for Edexcel 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!

Get ready to take the Math Challenge Singapore Math Challenge will provide fifth grade students with skill-building practice based on the leading math program in the world, Singapore Math Common Core Standards accelerate math expectations for all students, creating a need for challenging supplementary math practice. Singapore Math Challenge is the ideal solution, with problems, puzzles, and brainteasers that strengthen mathematical thinking. Step-by-step strategies are clearly explained for solving problems at varied levels of difficulty. A complete, worked solution is also provided for each problem. Singapore Math Challenge includes the tools and practice needed to provide a strong mathematical foundation and ongoing success for your students. The Common Core State Standards cite Singapore math standards as worldwide benchmarks for excellence in mathematics.

This book is divided into seven chapters including: a broad overview of mathematical cognition; development of mathematical cognition; working memory, automaticity and mathematical problem solving; mathematical problem solving; and methematical learning disabilities.

This book examines the various areas of mathematics education and neighboring disciplines that have recently contributed to a better understanding of the still vague construct of diagnostic competence. The work addresses the nature, development and effect of diagnostic competence in mathematics instruction, with a focus on the professional development of teachers.

PR1ME Mathematics Transition Guide: Numbers and Operations - created to support teachers as they implement PR1ME Mathematics in their classrooms. It provides a roadmap to help students in grades 2 to 6 transition to the program. Designed to help teachers successfully implement the best practices of global top performers in their classrooms.

There are 2 transition guides. This first book addresses Numbers and Algebra and Problem Solving Using Bar Models, the second (available separately) addresses Measurement and Geometry.

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.

Designed for classroom and independent study, our Revise Key Stage 2 Revision Workbooks provide simple, brilliantly smart support to Year 6 learners practising for the National Curriculum tests. Features include: 'Write-in' format so that children can write their answers directly onto the page as they would in National Tests One-to-one page match with the Revision Guide so students can find the practice they need quickly and easily Guided practice questions on every page demonstrate good technique and build confidence Loads of practice questions in the style of the new exams Hints and tips helps students avoid common pitfalls

Level: KS3 Subject: Maths Targeted practice questions covering the Year 7 maths curriculum - now with QR codes to worked solution videos Research proves that repeated practice is more effective than repeated study, which is why this KS3 Maths Year 7 targeted workbook provides plenty of practice opportunities for all Year 7 maths topics. For even more practice and support QR codes link directly from the topics to online worked solution videos. * packed with problem solving and reasoning practice questions * build confidence by ensuring fluency in all Year 7 maths skills taught at Key Stage 3 * online video solutions for every topic * topics matched to latest DfE sample curriculum frameworks

I: Diffusion Processes and General Stochastic Flows on Manifolds.- Stability and equilibrium properties of stochastic flows of diffeomorphisms.- Stochastic flows on Riemannian manifolds.- II: Special Flows and Multipoint Motions.- Isotropic stochastic flows.- The existence of isometric stochastic flows for Riemannian Brownian motions.- Time-reversal of solutions of equations driven by Levy processes.- Birth and death on a flow.- III: Infinite Dimensional Systems.- Lyapunov exponents and stochastic flows of linear and affine hereditary systems.- Convergence in distribution of Markov processes generated by i.i.d. random matrices.- IV: Invariant Measures in Real and White Noise-Driven Systems.- Remarks on ergodic theory of stochastic flows and control flows.- Stochastic bifurcation: instructive examples in dimension one.- Lyapunov exponent and rotation number of the linear harmonic oscillator.- The growth of energy of a free particle of small mass with multiplicative real noise.- V: Iterated Function Systems.- Iterated function systems and multiplicative ergodic theory.- Weak convergence and generalized stability for solutions to random dynamical systems.- Random affine iterated function systems: mixing and encoding.

Level: KS1 Subject: Maths & English Suitable for 2023 SATs KS1 practice questions covering Year 2 topics Everything children need for the school year in one book! Matched to the National Curriculum, this Collins Study & Practice Book covers all English and maths topics for Year 2, with key learning and practice for each topic. Perfect for continuing learning at home and supporting learning in school, this book includes progress tests and mixed practice tests to improve understanding, support children to catch-up and perform well in school. Children can record their own results in their progress chart too, supporting awareness and boosting confidence. Easy-to-use answers and a full glossary are also included. For even more practice, check out our Collins Year 2 English Targeted Practice Workbook (9780008125172) and Year 2 Maths Targeted Practice Workbook (9780008179007).

A NEW EDITION OF THE ORIGINAL BESTSELLER 'Well-researched and provides positive solutions' Times Educational Supplement In The Elephant in the Classroom, Jo Boaler outlines what has gone wrong in mathematics education, identifying the problems facing children in classrooms today. How can children be prepared for the mathematics they will need in the future? They need to be taught to be quantitatively literate, to think flexibly and creatively and how to problem solve. Jo Boaler offers concrete solutions for parents and teachers that will revolutionise children's experience with maths. Along with practical teaching activities, strategies and questions that can transform a child's mathematical future, she shares a range of free and accessible online resources. 'Has attracted an enthusiastic and vocal fan club among mums, dads and professionals' Daily Telegraph

Designed for classroom and independent study, our Revise Key Stage 2 Revision Guides provide simple, brilliantly smart support to Year 6 learners preparing for the National Curriculum tests. Features include: One-topic-per-page format that helps students revise more quickly, without the hassle Coverage of all topics included in the new National Curriculum tests 'Now try this' exam-style practice questions let students test their understanding of a topic and improve their exam technique Visual explanations of key concepts help students revise quickly and recall important information Reminders of concepts and skills in an interesting, accessible and easily-digestible way Simple structure makes it easy to follow, with write-in features that help children 'own' the books.

Please note this title is suitable for any student studying: Exam Board: Edexcel Level: GCSE Subject: Mathematics First teaching: September 2015 First exams: June 2017 Edexcel GCSE Maths, Higher Student Book has been created by experts to help deliver exam success in Edexcel's new Maths GCSE. Written for Higher tier students, the book focuses on developing students' fluency in key mathematical skills and problem solving using carefully chosen examples and extensive practice. Powered by MyMaths the book links directly to the ever popular web site offering students a further source of appropriate support.

This study provides a historical analysis of Freudenthal's didactic ideas and his didactic career. It is partly biographical, but also contributes to the historiography of mathematics education and addresses closely related questions such as: what is mathematics and where does it start? Which role does mathematics play in society and what influence does it have on the prevailing views concerning its accompanying didactics?. Hans Freudenthal (1905-1990), professor in mathematics, scientist, literator, but above all mathematics-educator, was inextricably linked to the changes which took place in mathematics education and didactics during the second half of the last century. His diversity as a scientist and his inexhaustible efforts to establish the didactics of mathematics as a seriously pursued science, made Freudenthal's influence in this area considerable. He foresaw an essential, practical role for mathematics in everyone's life, encouraging students to discover and create mathematics themselves, instead of imposing a ready-made mathematical system. The theory of mathematics education thus developed in the Netherlands would gain world fame in the following decades. Today, in the light of the discussions about mathematics education, in which the call for `genuine' mathematics instead of the so-called 'kindergarten'-mathematics can be heard, Freudenthal's approach seems to be passe. However, the outcome of this study (which is mainly based on documents from Freudenthal's vast personal archive) shows a more refined picture. The direct identification of 'kindergarten'-mathematics with Freudenthal's view on mathematics education is not justified. 'Realistic mathematics' as advocated by Freudenthal includes more than just a practical introductory and should, among other things, always aim at teaching 'genuine' mathematics in the end.

Designed for classroom and independent study, our Revise Key Stage 2 Revision Guides provide simple, brilliantly smart support to Year 6 learners preparing for the National Curriculum tests. Features include: One-topic-per-page format that helps students revise more quickly, without the hassle Coverage of all topics included in the new National Curriculum tests 'Now try this' exam-style practice questions let students test their understanding of a topic and improve their exam technique Visual explanations of key concepts help students revise quickly and recall important information Reminders of concepts and skills in an interesting, accessible and easily-digestible way Simple structure makes it easy to follow, with write-in features that help children 'own' the books.

Get ready to take the Math Challenge Singapore Math Challenge will provide fourth grade students with skill-building practice based on the leading math program in the world, Singapore Math Common Core Standards accelerate math expectations for all students, creating a need for challenging supplementary math practice. Singapore Math Challenge is the ideal solution, with problems, puzzles, and brainteasers that strengthen mathematical thinking. Step-by-step strategies are clearly explained for solving problems at varied levels of difficulty. A complete, worked solution is also provided for each problem. Singapore Math Challenge includes the tools and practice needed to provide a strong mathematical foundation and ongoing success for your students. The Common Core State Standards cite Singapore math standards as worldwide benchmarks for excellence in mathematics.

Create confident and capable mathematicians with accessible explanations and engaging activities. This book gradually builds on prior knowledge to deepen understanding through clear explanations, worked examples and hundreds of differentiated questions, as well as class activities that you can choose from to build your lessons and teaching plans. Designed to be used flexibly, this scheme covers the four 'what matters' statements and follows the five principles of progression from the Curriculum for Wales. - Develop pupils' conceptual understanding and communication with symbols throughout using plenty of worked examples and banded questions that get progressively more difficult - Target fluency, logical reasoning and strategic competence by using the markers included in each exercise question - Improve outcomes by selecting from banded questions most suited to enable progression - Ease the transition between progression steps with skill-checker activities at the start of each topic and review questions after each chapter - Link topics to other areas of learning, such as Science and Technology, with cross-curricular activities and discussion points

From the author of Math Girls comes an exciting new series for learning and reviewing important skills for taking on advanced mathematics This first volume, Math Girls Talk About Equations and Graphs, develops topics such as using variables in equations, polynomials, setting up systems of equations, proportions and inverse proportions, the relation between equations and their graphs, parabolas, intersections, and tangent lines. These topics are introduced through conversations between the characters from Math Girls, offering a fun way to learn this serious content. Each chapter comes with review problems and answers, and an appendix gives more challenging, open-ended problems for learners wanting to push the limits of their understanding. This book is most suited to middle- or high-school students who have learned basic algebra, or older readers who want to brush up on forgotten math skills. This series came about through requests from readers who enjoyed the excitement of learning aspects of the Math Girls series, but found themselves unprepared to keep up with the mathematical content. We hope that the books in this series will help young mathematicians firm up vital math skills that will allow them to excel in more advanced studies.

This book reviews the Teacher Education and Development Study: Learning to Teach Mathematics, which tested 23,000 primary and secondary level math teachers from 16 countries on content knowledge and asked their opinions on beliefs and opportunities to learn.