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.

First Published in 2000. Routledge is an imprint of Taylor & Francis, an informa company.

The Really Useful Maths Book is for all those who want children to enjoy the challenge of learning mathematics. With suggestions about the best ways to use resources and equipment to support learning, it describes in detail how to make learning the easy option for children.An easy-to-follow, comprehensive guide packed with ideas and activities, it is the perfect tool to help teachers who wish to develop their teaching strategies. The second edition has been fully updated in light of the latest research, as well as in response to the new mathematics curriculum. It includes many more practical activities for each mathematical topic and explores exciting new areas. Key topics covered include: Numbers and the number system Operations and calculations Shape and space Measures, statistics and data handling Cross-curricular approaches Resources and planning for teaching and learning Contexts for making sense of mathematics Bridges, strategies and personal qualities Dialogue and interactive teaching International perspectives on teaching and learning Psychology and neuroscience to maximize learning. The Really Useful Maths Book makes mathematics meaningful, challenging and interesting. It will be invaluable to practicing primary teachers, subject specialists, maths co-ordinators, student teachers, mentors, tutors, home educators and others interested in mathematics education programmes. Tony Brown was formerly the Director of ESCalate, the UK Centre for Education in HE at the Graduate School of Education, University of Bristol, UK. Henry Liebling formerly led Primary Mathematics Education at University College Plymouth, Marjon, UK.

This superb in-depth Student Book is ideal for Year 7 Maths students and perfect for independent study! It's packed with detailed, accessible notes, backed up with fully worked examples. Each section starts with a prior knowledge check and is rounded off with a review exercise - just the thing for recapping all of the content students have learnt. Plenty of practice questions, including challenge questions, are included throughout, complete with worked solutions. We've even included learning objectives for each topic, a glossary and a topic map to show which topics appear in each KS3 book. 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. Looking for more unbeatable Year 7 Maths practice? Check out our Year 7 Targeted Workbook (9781789083163) and Year 7 Weekly Workouts (9781789085747).

Hierdie 3 in 1 studiegids bied ’n gegronde oorgang tussen die basiese konsepte wat in Graad 10 Wiskundige Geletterdheid behandel is en die vaardighede wat nodig is vir die Graad 12-eindeksamen. Dit bevat: Omvattende Notas en Uitgewerkte Voorbeelde in al 7 onderwerpe, Oefeninge en ‘Toets jou Begrippe’ vir elke onderwerp en Gedetailleerde Antwoorde met Verduidelikings & nuttige wenke. Hierdie boek is volgepak met inhoud, toepassings en assessering en sal tuis en in die klaskamer baie goed gebruik kan word. ’n Toeganklike, logiese benadering maak die leerervaring makliker. Die rangskikking en aanbieding van die materiaal gekombineer met verduidelikende notas, motiveer leerders om hul vaardigheid in hierdie kernvak te verbeter. Die uitgebreide reeks vrae fokus daarop om vaardighede te ontwikkel om wiskundige probleme in die werklike lewe, binne die raamwerk van die KABV-kurrikulum, aan te pak. Leerders word toegerus om uitdagende vrae met selfvertroue en insig te benader. Al verskil hul vermoens en leerstyle, sal alle Graad 11-leerders hierdie boek as ’n treffer ervaar.

The last twentyfive years have seen an increasing interest for variational convergences and for their applications to different fields, like homogenization theory, phase transitions, singular perturbations, boundary value problems in wildly perturbed domains, approximation of variatonal problems, and non- smooth analysis. Among variational convergences, De Giorgi's r-convergence plays a cen- tral role for its compactness properties and for the large number of results concerning r -limits of integral functionals. Moreover, almost all other varia- tional convergences can be easily expressed in the language of r -convergence. This text originates from the notes of the courses on r -convergence held by the author in Trieste at the International School for Advanced Studies (S. I. S. S. A. ) during the academic years 1983-84,1986-87, 1990-91, and in Rome at the Istituto Nazionale di Alta Matematica (I. N. D. A. M. ) during the spring of 1987. This text is far from being a treatise on r -convergence and its appli- cations.

Mathematics Education and Technology-Rethinking the Terrain revisits the important 1985 ICMI Study on the influence of computers and informatics on mathematics and its teaching. The focus of this book, resulting from the seventeenth Study led by ICMI, is the use of digital technologies in mathematics teaching and learning in countries across the world. Specifically, it focuses on cultural diversity and how this diversity impinges on the use of digital technologies in mathematics teaching and learning. Within this focus, themes such as mathematics and mathematical practices; learning and assessing mathematics with and through digital technologies; teachers and teaching; design of learning environments and curricula; implementation of curricula and classroom practice; access, equity and socio-cultural issues; and connectivity and virtual networks for learning, serve to organize the study and bring it coherence.

Providing a state-of-the-art view of the domain with regards to research, innovating practices and technological development, Mathematics Education and Technology-Rethinking the Terrain is of interest to researchers and all those interested in the role that digital technology plays in mathematics education.

This chunky CGP Textbook contains thousands of practice questions (with answers) comprehensively covering Higher Level Grade 9-1 GCSE Maths and IGCSE Maths. For each topic, there are worked examples that show students how to approach problems step-by-step, followed by a huge number of questions that build up in difficulty as they gain confidence. This book is also available as an Online Edition for PC, Mac and tablets - see 9781782944584.

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.

This book confronts the issue of how young people can find a way into the world of algebra. It represents multiple perspectives which include an analysis of situations in which algebra is an efficient problem-solving tool, the use of computer-based technologies, and a consideration of the historical evolution of algebra. The book emphasizes the situated nature of algebraic activity as opposed to being concerned with identifying students' conceptions in isolation from problem-solving activity.

This fantastic Functional Skills book for City & Guilds 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!

The 2015 TIMSS Grade 5 study was administered for the first time in South Africa in August 2015. The study was led by a team of researchers at the Human Sciences Research Council (HSRC) in collaboration with the Department of Basic Education (DBE) and the International Association for the Evaluation of Educational Achievement (IEA). Providing the first, nationally representative, internationally comparative compendium of data on Grade 5 learners in South Africa, the report is a new indicator of the health of our educational system. The analyses describe in detail the current picture of achievement for learners in the country, highlighting key individual, family, school and provincial differences. The results also include key developments concerning preschool attendance, early learning environments, as well as the importance of educational expectations and academic beliefs, and the damaging effects of bullying. The findings highlight the importance of early achievement and the need to understand the multiple layers of influence on educational pathways, with the conclusions and recommendations highlighting an unequal, yet treatable system. The Grade 5 study sits alongside the Grade 9 study which has been carried out in South Africa since 1995, recently completing its fifth round.

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.

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 bundle includes Liljedahl's bestselling anchor book Building Thinking Classrooms in Mathematics, Grades K-12 and his new supplement title Modifying Your Thinking Classroom for Different Settings. Much of what happens in math classrooms today is guided by institutional norms laid down at the inception of an industrial-age model of public education. These norms have enabled a culture of teaching and learning that is often devoid of student thinking. Building Thinking Classrooms presents the results of over 15 years of research into which teaching practices are effective for getting students to think and which ones do not. This book takes you through a step-by-step approach that you can use to transform your classroom from a space where students mimic to a space where students think. But how do these practices work in a classroom with social distancing or in settings that are not always face-to-face? The follow-up supplement, Modifying Your Thinking Classroom for Different Settings, will answer those questions, and more. It walks teachers through how to adapt the 14 practices for 12 distinct settings, some of which came about as a result of the COVID-19 pandemic.

*THIS BOOK IS AVAILABLE AS OPEN ACCESS BOOK ON SPRINGERLINK* This open access book is the product of ICMI Study 22 Task Design in Mathematics Education. The study offers a state-of-the-art summary of relevant research and goes beyond that to develop new insights and new areas of knowledge and study about task design. The authors represent a wide range of countries and cultures and are leading researchers, teachers and designers. In particular, the authors develop explicit understandings of the opportunities and difficulties involved in designing and implementing tasks and of the interfaces between the teaching, researching and designing roles - recognising that these might be undertaken by the same person or by completely separate teams. Tasks generate the activity through which learners meet mathematical concepts, ideas, strategies and learn to use and develop mathematical thinking and modes of enquiry. Teaching includes the selection, modification, design, sequencing, installation, observation and evaluation of tasks. The book illustrates how task design is core to effective teaching, whether the task is a complex, extended, investigation or a small part of a lesson; whether it is part of a curriculum system, such as a textbook, or promotes free standing activity; whether the task comes from published source or is devised by the teacher or the student.

This book expands upon the guiding principles at the heart of Math Recovery (R) instruction, exploring their connections with learning theory, practical application in the classroom and their wider links to agreed concepts of high-quality mathematics teaching. It provides a well-rounded overview of all major aspects of mathematics teaching including inquiry-based and constructivist approaches, planning and assessment, and strategies that offer children opportunities for reflection, satisfaction and increasing challenge. Particular focus is placed on equitable and inclusive practices in mathematics and how we can develop teaching that connects with the abilities, cultures, and lived experiences of all children. This is essential reading for all teachers familiar with the Math Recovery (R) approach and classroom mathematics teachers in elementary and primary schools everywhere seeking to enhance their own professional knowledge and understanding. Beth L. MacDonald is an associate professor in Early Childhood Mathematics Education in the School of Teaching and Learning at Illinois State University. Jonathan N. Thomas is an associate professor of mathematics education and the chairperson of the Department of STEM Education at the University of Kentucky.

This book is centrally concerned with how mathematics education is represented and how we understand mathematical teaching and learning with view to changing them. It considers teachers, students and researchers. It explores their mathematical thinking and the concepts that this thought produces. But also how these concepts acquire cultural layers that mediate our apprehension. The book examines some of the linguistic and socio-cultural filters that influence mathematical understanding. But above all it introduces some contemporary theories of human subjectivity, in which subjectivity is seen primarily as consequential to, rather than productive of, our attempts to represent or categorise the world in which we live. That is, our sense of who we are results from our attempts to see ourselves against the various versions of the world that we encounter. Such theories trouble the very notion of mathematical "concepts" as apprehended by "humans." And in foregrounding this concern with subjectivity the book considers mathematics rather differently to styles more familiar in many instances of mathematics education research. The book proposes that mathematics can provoke us to think differently about our world and as a result enable our transformative capacities. Such an orientation may disturb our understanding of what mathematics is, how it exists in an "objective" sense, insofar as mathematical objects can be derived from social filters being applied to the world, but also serve as filters on the world capable of producing new social entities.

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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. Home workbook where children can practise what they have learnt.

This comprehensive resource provides educators with focused methods for students who struggle in elementary mathematics. The methods and procedures revolve around the CRA/CSA (Concrete-Representational/Semi-Concrete-Abstract) instructional sequence. These strategies are intended for small group intensive instruction, one that addresses students' need for increased repetition and explicitness that cannot be provided within a large group of students with diverse learning needs.Current research on the CRA/CSA instructional sequence is scattered across multiple resources. "Making Mathematics Accessible for Elementary Students Who Struggle: Using CRA/CSA for Interventions" provides comprehensive coverage of the most up-to-date research in one user-friendly resource. The sequence is included in every chapter and addresses instruction related to number sense, counting, basic operations, complex operations, basic fraction concepts, and operations with fractions.This resource is written by experienced professors spanning the fields of special education and curriculum, and teaching. Its professional insight, aligned with current mathematical teaching standards and CRA/CSA research, makes this text invaluable to upcoming or current teachers in elementary mathematics.Key features include: explicit and hands-on examples of CRA/CSA's use aligned with current mathematics standards and practices; suggestions and tips for various classroom situations; application questions for every chapter; drawings and diagrams associated with steps of the teaching process; classroom-tested strategies.

NHM Year 5 Textbook: Uses language at an appropriate reading level. Places maths in a variety of contexts. Provides problem-solving activities. Reinforces and extends your pupils' fluency in number facts and mental calculation strategies.