Mathematics classrooms are increasingly multilingual, whether they are found in linguistically diverse societies, urban melting pots or planned bilingual programs. The chapters in this book present and discuss examples of mathematics classroom life from a range of multilingual classroom settings, and use these examples to draw out and discuss key issues for the teaching and learning of mathematics and language. These issues relate to pedagogy, students' learning, curriculum, assessment, policy and aspects of educational theory. The contributions are based on research conducted in mathematics classrooms in Europe, South Asia, North America and Australia. Recurring issues for the learning of mathematics include the relationship between language and mathematics, the relationship between formal and informal mathematical language, and the relationship between students' home languages and the official language of schooling.

*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.

The only official Minecraft maths book for children aged 8-9! Children embark on a Minecraft adventure in each maths topic, using their maths skills and knowledge to complete the tasks and earn rewards. This is a write-in maths practice workbook which uses the Minecraft game as a mechanism for practising the key maths skills covered in Year 4. Accomplish maths activities to help Minecraft characters on their missions Explore different biomes in each topic Earn emeralds as you work through the book, and choose how you spend them Go hardcore with challenging questions

Noted for its integration of real-world data and case studies, this text offers sound coverage of the theoretical aspects of mathematical statistics. The authors demonstrate how and when to use statistical methods, while reinforcing the calculus that students have mastered in previous courses. Throughout the Fifth Edition, the authors have added and updated examples and case studies, while also refining existing features that show a clear path from theory to practice.

Schofield & Sims Get Set Early Years is a comprehensive and engaging early years scheme that aims to bridge the gap between play and formal learning, helping all children to become school-ready by the end of Reception. Comprising twelve activity books and three accompanying teacher's guides, Get Set Early Years covers all the Early Learning Goals (ELGs) for Literacy, Mathematics and Understanding the world. Carefully designed to appeal to young children, each activity book page contains two stimulating activities for children to complete, such as matching, complete the picture, connect the dots, mazes, picture sequencing, colour by sound and odd one out. Additional features include a `Teaching Tip', `Notes for parents and carers' and `Key Vocabulary' and `Extension activity' sections to reinforce classroom learning. Get Set: Counting develops children's early understanding of numbers, providing practice in counting, recognising and writing numbers, and sequencing. This book introduces young learners to numbers through a variety of activities, including count the objects, write the number, complete the picture and follow the sequence activities. A separate accompanying teacher's guide, Get Set Maths Teacher's Guide (ISBN 9780721714356), contains detailed teacher's notes, links to show corresponding pages in the activity book, and supporting photocopiable resources. A selection of free downloads, including a `Handwriting chart' and a `Learning diary', is also available from the Schofield & Sims website.

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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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.

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

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 2 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.

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 Book 1 is aimed at pupils in lower Key Stage 2 and covers the key subject areas of number, measurement, geometry and statistics, including place value, simple fractions, times tables, telling the time, giving change, and 2-D and 3-D shapes. Three Progress Charts are provided to monitor learning as pupils work through the book, while topic-based Check-up Tests at the back of the book identify any gaps in understanding. A separate accompanying answer book, Mental Arithmetic Book 1 Answers (ISBN 9780721708058), contains correct answers to all the questions, making marking quick and easy.

This volume contains a number of studies on professional development that blend issues in mathematics education with issues of equity. The composition of U.S. schools is becoming more diverse while the teaching force remains largely White and middle class. Teachers are thus meeting students who have backgrounds significantly different from their own. Teaching these diverse students effectively involves attending to multiple issues that impact classroom performance, as well as developing multiple knowledge bases including knowledge of content, and knowledge of students and their communities. Professional development must therefore address both mathematics and equity so that student learning can be enhanced.

This book is brimming with essential practice for children aged 10-11 taking the 11+ test set by CEM . The first section is focused on specific topics to develop understanding and confidence. This is followed by Assessment Tests that help to improve speed and accuracy across a wide range of questions. Fully explained answers to every question are included in a pull-out section, so it's easy to check children's progress and correct any mistakes. What's more, a free Online Edition of the whole book is included - just use the unique access code printed inside the cover to access it on a PC, Mac or tablet!

Advances in Mathematics Education is a new and innovative book series published by Springer that builds on the success and the rich history of ZDM-The Inter- tional Journal on Mathematics Education (formerly known as Zentralblatt fur - daktik der Mathematik). One characteristic of ZDM since its inception in 1969 has been the publication of themed issues that aim to bring the state-of-the-art on c- tral sub-domains within mathematics education. The published issues include a rich variety of topics and contributions that continue to be of relevance today. The newly established monograph series aims to integrate, synthesize and extend papers from previously published themed issues of importance today, by orienting these issues towards the future state of the art. The main idea is to move the ?eld forward with a book series that looks to the future by building on the past by carefully choosing viable ideas that can fruitfully mutate and inspire the next generations. Taking ins- ration from Henri Poincare (1854-1912), who said "To create consists precisely in not making useless combinations and in making those which are useful and which are only a small minority."

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.

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!

Year 6 pupils (ages 10-11) 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 6 Maths Targeted Question Book (9781847622143) - it's bursting with test-style practice for every topic!

NHM Year 2 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.

The Key Stage 2 Maths series covers mathematical technique for SATs 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 a testbook 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 30 years.

The Edexcel Maths in Context Project Book is written and endorsed for use with the Edexcel Mathematics in Context (Core maths) specification. It contains real-world mathematical problems developed for each area of the qualification. The content is matched to the context-led Scheme of Work, that helps students to see the real-life connections across and within each area of maths. Key points and examples where you need them, for new Level 3 and Higher GCSE maths content. Technical literacy hint boxes to explain real-life terms. Explore questions prompt you to take your learning as far as you can.

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!

New wave mental maths is a series of six learner workbooks written for South African primary schools. New wave mental maths provides an ideal platform for the development of mental skills and mathematical concepts.

New wave mental maths provides:

• Comprehensive coverage of mental mathematics concepts.
• Opportunities for consolidation of mathematical concepts.
• Practice in speed of recall.
• Opportunities for reinforcement of ongoing mathematical concepts.
• Sequential development of mathematical concepts.
• A structured daily programme for the whole year.
• Pictorial, graphic and written representation of problems.
• An in-built review and assessment programme (levels D-G)

Each Level provides coverage of all mathematical areas applicable to mental mathematics activities.