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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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.

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.

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.

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.

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.

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.

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.

Highly motivating differentiated Student Books develop confidence, fluency and problem-solving, supporting progression: *Full ability range: Pi (Tier 1), Theta (Tier 2) and Delta (Tier 3)* Unit structure based on mastery lessons, formative test, consolidation and extension lessons and a summative unit test* Reflection (metacognition) is explicitly encouraged to build perseverance and confidence* STEM and Finance lessons highlight these important links to using maths in real life* Reasoning and Problem-solving are nurtured in preparation for progressing to GCSE If you're an institution you can get the answers for this book as a free download. If you are a parent or tutor please contact customer services at [email protected] who will send you the download directly.

When young children first arrive at school, they generally know how to use a mobile phone and a tablet, and how to count, share and measure. They have a sense of wonder about the world around them. They expect to further interact with technology and to build and extend their mathematics and science knowledge.Teaching Early Years Mathematics, Science and ICT shows how teachers of children in their first three years of formal schooling can guide students in developing a sound understanding of the key concepts in mathematics and science in classroom and field activities. It shows how to select appropriate educational technology, and effectively and routinely integrate it into the learning experience, as part of students' wider classroom learning.Throughout, the authors make connections between children's out-of-school and in-school experiences, as well as connections across key learning areas. They provide real classroom examples of learning experiences which can be adapted for different year levels. A reflection template assists teachers in planning and successfully implementing teaching strategies to meet curriculum requirements.Teaching Early Years Mathematics, Science and ICT helps teachers bridge theory and practice in teaching children aged 5 to 8 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, 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, 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.