Abacus is a popular Maths scheme used by thousands of schools all over the world. It fully aligns to the UK National Curriculum. Written by a team of experts, led by Series Editor, Professor Ruth Merttens. For children who are following a UK National Curriculum-based maths scheme, the pupil book provides guidance for each strand the national curriculum. Each Pupil Book includes: the right balance of practice and problem-solving for each area of maths pictorial representations to support children's conceptual understanding clearly laid out questions with instructions that are easy to follow a self-assessment opportunity on every page

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.

How do you fold a sheet of paper into the shape of a whale? How do you measure the area of a pizza pie? How can you draw a circle within a circle without lifting your pencil from the paper?

Now kids can discover the answers to these and other fascinating questions about elementary geometry—the study of shapes. Packed with illustrations, Geometry for Every Kid uses simple problems and activities to teach kids ages 8 through 12 about acute and obtuse angles, parallel and perpendicular lines, plane and space figures, and much more!

Kids will explore all the different shapes they can form by arranging the pieces of an intriguing Chinese puzzle called a tangram, and learn how to create a colorful 3-D drawing that seems to rise right off the page! They'll construct a twirler stick out of a pencil and an index card to see how surface area affects the movement of a spinning object, and build a geoboard as a quick, fun way to compare the area of different geometric figures.

Each of the activities is broken down into its purpose, a list of materials, step-by-step instructions, expected results, and an explanation that kids can understand. Every project has been pretested and can be performed safely and inexpensively in the classroom or at home.

When learning science means doing science, learning becomes an adventure!

Acclaim for Janice VanCleave's books:

"A super collection of easy biology experiments to conduct at home...A worthwhile purchase."—Kirkus Reviews on Biology for Every Kid

"The creative hands-on activities will enhance learning about the fascinating applications of geometry."—Science Books & Films onGeometry for Every Kid

"Janice Pratt VanCleave's Science books not only teach children the basics of science, but also entertain along the way."—Parent Guide on Science for Every Kid series

Also available in this series from Janice VanCleave:

• ASTRONOMY FOR EVERY KID
• BIOLOGY FOR EVERY KID
• CHEMISTRY FOR EVERY KID
• DINOSAURS FOR EVERY KID
• EARTH SCIENCE FOR EVERY KID
• GEOGRAPHY FOR EVERY KID
• THE HUMAN BODY FOR EVERY KID
• MATH FOR EVERY KID
• PHYSICS FOR EVERY KID

Year 3 pupils (ages 7-8) will love this friendly, colourful Study Book - and it's perfectly matched to the latest curriculum! For each topic, there are straightforward study notes and plenty of clear examples explaining all the important skills, with objectives tick-boxes at the bottom of each page so that pupils can mark off their progress. Practice questions are included at the end of each section - these progress in difficulty to give pupils' understanding a thorough workout. On top of that, you'll also find Greater Depth Questions, so pupils can really test their knowledge, plus answers to every question at the back. For even more practice, don't miss our Year 3 Maths Targeted Question Book (9781847622112) - it's bursting with test-style practice for every topic!

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.

REVISE KEY STAGE 2 SATS GEOMETRY, MEASURES AND STATISTICS TARGETED PRACTICE BOOK Our revision resources are the smart choice for those revising for the Year 6 National Tests. This book will help you to: Organise your study with a one-topic-per-page format Speed up your study with helpful hints Track your progress with at-a-glance check boxes Make sure that you have prepared for every topic covered in the tests with the accompanying Revision Guides and Workbooks.

Pinpoint is a new series of activities and resources created to provide you with highly focused resources for specific needs in Maths. 130 page photocopiable book, A4 size, containing differentiated maths word problems plus answers Covers every objective in the Year 4 Programme of Study Shows whether children can use and apply maths knowledge to solve problems in context 3 levels of difficulty on each page (Towards, Securing and Deeper) provide appropriate challenge for all and take children into greater depth Includes free online version This flexible and easy to use resource is designed to save teachers time searching for differentiated questions. Questions are set out by curriculum objective, making it easy to use them flexibly for any given topic: e.g. as problem-solving practice, to check whether children have met an objective, or as a 'cold task' to analyse prior knowledge and any misconceptions before starting a topic. The questions can be photocopied and cut out, or printed directly onto a sheet of sticky labels in order to add them into children's exercise books quickly.

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

This book is a brilliant source of test-style practice questions for Year 3 Maths pupils - all perfectly matched to the latest curriculum! There are questions for each topic, with space on each page for pupils to write their answers and any working out, plus mark schemes so that you can keep track of their progress. There are also Warm-Up Questions to get pupils started, and Greater Depth Questions to help them really master a topic. And there's more! We've included Objectives Tests at the start and end of the book, and Progress Tests to keep track of how pupils are getting on. You'll find answers to everything at the back. We also have a matching Year 3 Maths Targeted Study Book (9781847621900) - it's packed with clear study notes and examples to explain every topic!

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.

Designed to cover the Pure Maths (Matrices and Calculus) elements of the current CCEA GCSE Further Mathematics specification, this is one of a set of four revision booklets. * Valuable revision questions with answers. * The questions are arranged into five distinct 'tests'. * NOT from past papers; commissioned specifically for this booklet. * Similar in style to our existing M1 to M8 revision booklets for GCSE Mathematics. * This Pure Maths 1 booklet together with Pure Maths 2 address the content of Pure Mathematics. There are separate booklets for Mechanics and Statistics.

Collins International Primary Maths supports best practice in primary maths teaching, whilst encouraging teacher professionalism and autonomy. A wealth of supporting digital assets are provided for every lesson, including slideshows, tools and games to ensure they are rich, lively and engaging. Each Workbook page has three levels of challenge which allow learners to practise and consolidate their newly acquired knowledge, skills and understanding of the mathematics they are learning. Questions throughout the course develops learners' Thinking and Working Mathematically skills, and each lesson offers an opportunity for personal reflection on progress. The series also supports Cambridge Global Perspectives (TM) with activities that develop and practise key skills. Provides learner support as part of a set of resources for the Cambridge Primary curriculum framework (0096) from 2020. This series is endorsed by Cambridge Assessment International Education to support the new curriculum framework 0096 from 2020.

Pinpoint is a new series of activities and resources created to provide you with highly focused resources for specific needs in Maths. 130 page photocopiable book, A4 size, containing differentiated maths word problems plus answers Covers every objective in the Year 6 Programme of Study Shows whether children can use and apply maths knowledge to solve problems in context 3 levels of difficulty on each page (Towards, Securing and Deeper) provide appropriate challenge for all and take children into greater depth Includes free online version This flexible and easy to use resource is designed to save teachers time searching for differentiated questions. Questions are set out by curriculum objective, making it easy to use them flexibly for any given topic: e.g. as problem-solving practice, to check whether children have met an objective, or as a 'cold task' to analyse prior knowledge and any misconceptions before starting a topic. The questions can be photocopied and cut out, or printed directly onto a sheet of sticky labels in order to add them into children's exercise books quickly.

Many pre-service teachers admit to feeling unsure about the mathematics they will have to teach in primary school. Others find it difficult to know how to apply the theories of teaching and learning they study in other courses to the teaching of mathematics. This book begins by outlining some of the key considerations of effective mathematics teaching and learning. These include understanding student motivation, classroom management, overcoming maths anxiety and developing a positive learning environment. The authors also introduce the curriculum and assessment processes, and explore the use of ICT in the maths classroom. Part B outlines in a straightforward and accessible style the mathematical content knowledge required of a primary teacher. The content extends beyond the primary level to Year 9 of the Australian Curriculum as, while primary teachers may not have to teach this content, knowing it is a key part of being a strong teacher and will assist pre-service teachers to meet the requirements of the LANTITE (the Literacy and Numeracy Test for Initial Teacher Education students). Featuring graphics and worked examples and using clear and friendly language throughout, this is the essential introduction for students wishing to begin teaching primary mathematics with confidence and enthusiasm. 'The writing style is clean and uncomplicated; exactly what my maths education students need. The blend of theories, curriculum, planning, assessment and mathematical content knowledge strikes the balance that is missing in many texts.' -- Dr Geoff Hilton, University of Queensland

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.

Do you want your child to attend an independent or grammar school? Wondering how to give him or her the best possible chance of passing these exams? Practise & Pass 11+ Level 3: Maths Practice Test Papers is a brand new pack filled with hundreds of new, authentic practise questions in the same multiple choice format as the final exams. Designed for children who have completed the Discover and Develop levels, Practise & Pass 11+ Level 3: Maths Practice Test Papers is the final stage of the Practise & Pass 11+ series which allows your child to receive a full programme of coaching needed to pass the 11+ exams. Competition is high and places are very limited in independent and grammar schools so Practise & Pass 11+ Level 3: Maths Practice Test Papers is an invaluable tool to give your child the head start they need. The Practise & Pass 11+ series has been developed in line with the current entrance exams so your children will be answering questions that are in an identical format and style to those that will be in the final test. Covering the four key subjects, verbal reasoning, non-verbal reasoning, maths and English, the series is split into three levels - Discover, Develop and Practice Test Papers. After working through the Practise & Pass 11+ series your child will be fully prepared for the tests, have the edge over other applicants and be equipped with the best possible chance to get into the school of your choice. Give your child the skills and experience to pass the 11+ exam with flying colours. Discover the complete Practise & Pass 11+ series: Practise & Pass 11+ Level 1: Discover English Practise & Pass 11+ Level 1: Discover Maths Practise & Pass 11+ Level 1: Discover Non-Verbal Reasoning Practise & Pass 11+ Level 1: Discover Verbal Reasoning Practise & Pass 11+ Level 2: Develop English Practise & Pass 11+ Level 2: Develop Maths Practise & Pass 11+ Level 2: Develop Non-Verbal Reasoning Practise & Pass 11+ Level 2: Develop Verbal Reasoning Practise & Pass 11+ Level 3: English Practice Test Papers Practise & Pass 11+ Level 3: Maths Practice Test Papers Practise & Pass 11+ Level 3: Non-Verbal Reasoning Practice Test Papers Practise & Pass 11+ Level 3: Verbal Reasoning Practice Test Papers Practise & Pass 11+ Level 3: Practice Test Papers Variety Pack 1

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.

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. 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.

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.

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. 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.

Please note this title is suitable for any student studying: Exam Board: AQA Level: GCSE Subject: Mathematics First teaching: September 2015 First exams: June 2017 AQA GCSE Maths, Higher Student Book has been approved by AQA and specially written by a team of maths experts for the Higher tier of AQA's 2015 GCSE specification. Designed to fully support the new style of assessment, the book adopts a clear style to focus on delivering exam success via the careful development of fluency and problem solving practice. Powered by MyMaths the book links directly to the ever popular web site offering students a further source of appropriate support.

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!

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.

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.