Why is cross-curricular work so valuable in the mathematics classroom? Why can pupils sometimes draw graphs in mathematics but not in science? What might mathematics teachers learn from the performing arts? Cross-curricular approaches have much to offer the modern mathematics classroom. They can help teachers to present mathematics as a growing, relevant discipline that is central to much of modern life, and help learners to make sense of what they are doing and why. New contexts, new technology and new qualifications all make this an exciting time to be a cross-curricular teacher of mathematics. But cross-curricular approaches are not always straightforward. Skills do not always transfer easily from one subject area to the other, and a number of important decisions have to be made. How should this type of work be planned, or assessed? How might it fit into the wider curriculum? Are all cross-curricular activities equally useful for learners? Does mathematics have something to share with all of the other curriculum areas? This book tackles these issues head on, combining educational theory and contemporary research with practical ideas and suggestions. From the mathematics of molecular geometry, wind turbines and impact craters to mathematical haikus, Babylonian clay tablets and juggling, each chapter is packed with examples for use in the secondary classroom. Key features include: Discussion of key issues and debates Case studies to show you how others have used cross-curricular approaches A wide range of examples and practical activities to help you develop your own practice Example approaches for planning and assessment Part of the Cross-Curricular Teaching and Learning in the Secondary School series, this book is essential reading for all students on Initial Teacher Training courses and practising teachers looking to holistically introduce cross-curricular themes and practices into their mathematics teaching.

Matches the Student Book structure and content to make setting homework straightforward. Packed with practice questions, all of which are graded so students can see exactly what level they're working at. Also available as a VLE-compatible digital edition for added flexibility of use.

This work matches the 'Student Book' structure and content to make setting homework straightforward. It is packed with practice questions, all of which are graded so students can see exactly what level they're working at.

Can be used as a learning tool in conjunction with our other maths materials. This is useful preparatory material for children who will eventually be sitting for the 11+ grammar school or independent school exams. Provides practice for GL Assessment, CEM and all other styles of mathematical tests. During an intense learning phase children also improve their maths skills through a testing process, provided that the main emphasis is focused on acquiring techniques from our workbooks. The tests are not exclusively book specific but they are progressive and give extra practice in most of the techniques contained in the Maths workbooks.

Supports teachers' understanding of AO2 and AO3 through clearly labelled AO2/3 questions in the exercises. Packed with graded questions reflect the level of demand required, so students and teachers can see their progression. Includes worked examples throughout the book to break the maths down into easy chunks. Uses feedback to highlight common errors .

This work matches the 'Student Book' structure and content to make setting homework straightforward. It is packed with practice questions, all of which are graded so students can see exactly what level they're working at.

This course includes a range of highly targeted practice books for students working toward every grade. Suitable for consolidation, homework and independent study. This workbook offers accessible extra practice for students working towards securing a basic pass at GCSE.

Supports teachers' understanding of AO2 and AO3 through clearly labelled AO2/3 questions in the exercises. Packed with graded questions reflect the level of demand required, so students and teachers can see their progression. Includes worked examples throughout the book break the maths down into easy chunks. Uses feedback to highlight common errors .

A wealth of assessment practice and materials throughout, including mock papers and end of chapter tests, to help your students fully prepare for the Functional Maths test. This Student Book comes packed with newspaper cuttings, maps, charts and timetables to bring maths into the real world, and includes differentiated questions for clear progression between Level 1 and Level 2.

Our objective is to publish a book that lays out the theoretical constructs and research methodologies within mathematics education that have been developed by Paul Cobb and explains the process of their development. We propose to do so by including papers in which Cobb introduced new theoretical perspectives and methodologies into the literature, each preceded by a substantive accompanying introductory paper that explains the motivation/rationale for developing the new perspectives and/or methodologies and the processes through which they were developed, and Cobb's own retrospective comments. In this way the book provides the reader with heretofore unpublished material that lays out in considerable detail the issues and problems that Cobb has confronted in his work, that, from his viewpoint, required theoretical and methodological shifts/advances and provides insight into how he has achieved the shifts/advances. The result will be a volume that, in addition to explaining Cobb's contributions to the field of mathematics education, also provides the reader with insight into what is involved in developing an aggressive and evolving research program. When Cobb confronts problems and issues in his work that cannot be addressed using his existing theories and frameworks, he looks to other fields for theoretical inspiration. A critical feature of Cobb's work is that in doing so, he consciously appropriates and adapts ideas from these other fields to the purpose of supporting processes of learning and teaching mathematics; He does not simply accept the goals or motives of those fields. As a result, Cobb reconceptualizes and reframes issues and concepts so that they result in new ways of investigating, exploring, and explaining phenomena that he encounters in the practical dimensions of his work, which include working in classrooms, with teachers, and with school systems. The effect is that the field of mathematics education is altered. Other researchers have found his "new ways of looking" useful to them. And they, in turn, adapt these ideas for their own use. The complexity of many of the ideas that Cobb has introduced into the field of mathematics education can lead to a multiplicity of interpretations by practitioners and by other researchers, based on their own experiential backgrounds. Therefore, by detailing the development of Cobb's work, including the tensions involved in coming to grips with and reconciling apparently contrasting perspectives, the book will shed additional light on the processes of reconceptualization and thus help the reader to understand the reasons, mechanisms, and outcomes of researchers' constant pursuit of new insights.

A volume in Research on Technology and the Teaching and Learning of Mathematics: Syntheses, Cases, and Perspectives According to NCTM's Principles and Standards for School Mathematics, ""Technology is essential in teaching and learning of mathematics; it influences the mathematics that is taught and it enhances students' learning."" How does research inform this clarion call for technology in mathematics teaching and learning? In response to the need to craft appropriate roles for technology in school mathematics new technological approaches have been applied to the teaching and learning of mathematics, and these approaches have been examined by researchers world-wide. The second volume has a dual focus: cases and perspectives. It features descriptive cases that provide accounts of the development of technology-intensive curriculum and tools. In these cases the writers describe and analyze various roles that research played in their development work and ways in which research, curriculum development, and tool development can inform each other. These thoughtful descriptions and analyses provide documentation of how this process can and does occur.The remaining chapters in the second volume address research-related issues and perspectives on the use of technology in the teaching and learning of mathematics. The lessons learned from the research presented in these volumes are lessons about teaching and learning that can be applied more broadly than solely in technological settings.

The Edexcel GCSE Higher Mathematics Student Book for Specification A provides everything you need to achieve exam success. The fully accessible and differentiated Higher Student Book contains on-page levelling for all questions to guide students on how they can achieve their target grade. Includes full support for the new Assessment Objectives and exam-style questions to ensure you have the best chance of success in your exams. Contains support for Functional Maths with clear labelling in the Student Book. ResultsPlus exam performance data has been combined with valuable examiner insight to give students more tips and guidance on how to achieve exam success.

All questions are graded so you can see what level you are working at. Chapter summaries serve as learning reminders. Text is engaging and examples are clearly broken down.

Written by a team of senior examiners and practising teachers Grades on the page show students what level they are working at and encourage them to push themselves Covers grades D to A.

This new edition of CGP's Higher Level OCR GCSE Maths Revision Guide is bang-up-to-date for the latest 'Grade 9-1' course! It's packed with concise, friendly explanations of every topic, backed up with plenty of step-by-step examples. Grade information (on the new 9-1 scale) is included to show the difficulty level of each topic, and there are exam-style questions at the bottom of each page to test you on the important skills. And finally, a unique code is printed in the book that gives you access to the free Online Edition of the whole book on your PC, Mac or tablet! For even more help with this course, don't forget CGP's matching Workbook (9781782943808), Exam Practice Workbook (9781782943785) and Grade 9 Exam Practice Workbook (9781782944171).

-Makes mathematics education research on fraction concepts accessible and understandable to pre-service and in-service teachers of grades K-8, allowing teachers to understand evidence in student work and make better instructional decisions. -Uses extensive annotated samples of student work, helping teachers improve their ability to recognize and assess student errors and misconceptions, as well as their understanding, learning, and fluency of fraction concepts. -Built off the wide-scale research gathered in the Ongoing Assessment Project (OGAP), drawn from hundreds of teachers and thousands of examples of student work. -Each chapter includes student work samples and vignettes to illuminate the research, guidance on CCSSM standards, end of chapter questions, professional development activities, and instructional links that help teachers relate concepts back to their own instructional materials and programs. -This edition has been updated throughout with the latest research, CCSSM standards, additional examples and vignettes, and more.

Most education research is undertaken in western developed countries. While some research from developing countries does make it into research journals from time to time, but these articles only emphasize the rarity of research in developing countries. The proposed book is unique in that it will cover education in Papua New Guinea over the millennia. Papua New Guinea's multicultural society with relatively recent contact with Europe and the Middle East provides a cameo of the development of education in a country with both a colonial history and a coup-less transition to independence. Discussion will focus on specific areas of mathematics education that have been impacted by policies, research, circumstances and other influences, with particular emphasis on pressures on education in the last one and half centuries. This volume will be one of the few records of this kind in the education research literature as an in-depth record and critique of how school mathematics has been grown in Papua New Guinea from the late 1800s, and should be a useful addition to graduate programs mathematics education courses, history of mathematics, as well as the interdisciplinary fields of cross cultural studies, scholarship focusing on globalization and post / decolonialism, linguistics, educational administration and policy, technology education, teacher education, and gender studies.

Reinforce grade-level, standards-based math skills with this collection of 100 eye-catching, reproducible practice pages. The pages can be used any time students need to work independently and are formatted to boost motivation and fun. The perfect way to support students who need extra practice with numbers and counting, place value, addition, subtraction, time, measurement, shapes, graphs, and more!

This amazing Functional Skills book for City & Guilds has everything students need to prepare for the Level 1 Maths test! It covers every topic and all the calculator and non-calculator skills needed for the latest L1 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!

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.

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!

Developed directly with the IB to be fully integrated with the revised MYP Mathematics framework, for first teaching in 2020. This comprehensive, inquiry-based resource empowers students to develop a deep and engaged understanding of mathematics. MYP Mathematics 4&5 Extended takes learners beyond the MYP Mathematics 4&5 Standard resource, providing opportunities to master more advanced mathematical concepts and skills, and laying the foundations for Higher Level Mathematics at IB Diploma. The inquiry-led, concept-based approach combined with links to global contexts equips learners to acquire and practice essential knowledge and skills while exploring the wider applications of mathematics. Fully comprehensive, the resource addresses all the topics suggested in the MYP Extended Mathematics Skills Framework, including the enrichment topics.