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

This book offers an overview of programmes designed to support the learning of gifted and talented students in STEM subjects, both to allow them to meet their potential and to encourage them to proceed towards careers in STEM areas. The chapters from a range of national contexts report on perspectives, approaches and projects in gifted education in STEM subjects. These contributions provide a picture of the state of research and practice in this area, both to inform further research and development, and to support classroom teachers in their day-to-day work. Chapters have been written with practitioners in mind, but include relevant scholarly citations to the literature. The book includes some contributions illustrating research and practice in specific STEM areas, and others which bridge across different STEM subjects. The volume also includes an introductory theoretical chapter exploring the implications for gifted learners of how 'STEM' is understood and organized within the school curriculums.

This edited volume will help educators better analyze methodological and practical tools designed to aid classroom instruction. It features papers that explore the need to create a system in order to fully meet the uncertainties and developments of modern educational phenomena. These have emerged due to the abundance of digital resources and new forms of collective work. The collected papers offer new perspectives to a rising field of research known as the Documentational Approach to Didactics. This framework was first created by the editors of this book. It seeks to develop a deeper understanding of mathematics teaching expertise. Readers will gain insight into how to meet the theoretical questions brought about by digitalization. These include: how to analyze teachers' work when they prepare for their teaching, how to conceptualize the relationships between individual and collective work, and how to follow the related processes over the long term. The contributors also provide a comparative view in terms of contrasting selected phenomena across different educational cultures and education systems. For instance, they consider how differences in curriculum resources are available to teachers and how teachers make use of them to shape instruction. Coverage also considers the extent to which teachers make use of additional material, particularly those available through the global marketplace on the Internet. This book builds on works from the Re(s)sources 2018 Conference, Understanding teachers' work through their interactions with resources for teaching, held in Lyon, France.

The home of trusted English dictionaries and thesauruses for school use. Level: KS2 Subject: Maths This colourfully illustrated maths dictionary for children offers amazing support for the primary maths curriculum. Simple definitions of key maths terms are linked to full times table charts, weight measurements, and geometry. All of the maths concepts are clearly laid out and illustrated, making this primary maths dictionary a fun and easy way for pupils to learn maths, at Key Stage 2 and beyond! Contains full coverage of the new curriculum maths terminology Gives concise explanations of the key maths terms that pupils need Makes clear links to show how maths is used in real-life contexts Incorporates fun illustrations and colourful diagrams to help with understanding Uses alphabetical presentation for easy access Includes lots of supplements such as times tables, weight measurements and geometry

When Critical Multiculturalism Meets Mathematics details the development and outcomes of a teacher professional development project that merged multiculturalism and mathematics. In six compact chapters the authors describe the impetus for their multi-year project and present rich case studies of nine teacher participants. The cases stand alone as compelling reading, yet Marshall et al. extend beyond their distinctiveness to explain the statistical data related to the project's broader impact. Emphasizing both qualitative and quantitative findings makes this book ideal for novice researchers interested in mixed method study. Likewise, the authors unveil the anatomy and a few complexities of conducting research in the real world contexts of schools including participant recruitment and resolution of unanticipated matters that can arise within research teams. A unique twist in the final chapter is Marshall et al.'s critique of their own missteps as researchers, which are used skillfully and unobtrusively to proffer tips for future studies. They conclude by theorizing affirmed intersectionality, identified as the critical element that facilitated teachers' recognition and acceptance of the compatibility between the study's two components.

Explaining and Exploring Mathematics is designed to help you teach key mathematical concepts in a fun and engaging way by developing the confidence that is vital for teachers. This practical guide focuses on improving students' mathematical understanding, rather than just training them for exams. Covering many aspects of the secondary mathematics curriculum for ages 11-18, it explains how to build on students' current knowledge to help them make sense of new concepts and avoid common misconceptions. Focusing on two main principles to improve students' understanding: spotting patterns and extending them to something new, and relating the topic being taught to something that the pupils already understand, this book helps you to explore mathematics with your class and establish a successful teacher-student relationship. Structured into a series of lessons, Explaining and Exploring Mathematics is packed full of practical advice and examples of the best way to answer frequently asked questions such as: Do two minuses really make a plus? Why doesn't 3a + 4b equal 7ab? How do you get the area of a circle? Why do the angles of a triangle add up to 180 Degrees? How can you integrate 1/x and calculate the value of e? This book will be essential reading for all trainee and practising teachers who want to make mathematics relevant and engaging for their students.

Explaining and Exploring Mathematics is designed to help you teach key mathematical concepts in a fun and engaging way by developing the confidence that is vital for teachers. This practical guide focuses on improving students' mathematical understanding, rather than just training them for exams. Covering many aspects of the secondary mathematics curriculum for ages 11-18, it explains how to build on students' current knowledge to help them make sense of new concepts and avoid common misconceptions. Focusing on two main principles to improve students' understanding: spotting patterns and extending them to something new, and relating the topic being taught to something that the pupils already understand, this book helps you to explore mathematics with your class and establish a successful teacher-student relationship. Structured into a series of lessons, Explaining and Exploring Mathematics is packed full of practical advice and examples of the best way to answer frequently asked questions such as: Do two minuses really make a plus? Why doesn't 3a + 4b equal 7ab? How do you get the area of a circle? Why do the angles of a triangle add up to 180 Degrees? How can you integrate 1/x and calculate the value of e? This book will be essential reading for all trainee and practising teachers who want to make mathematics relevant and engaging for their students.

The problem-solving activities in this book present real life problems in a realistic everyday context. The activities are based around a set of recurring characters who find themselves exposed to a range of real life problems that need to be solved; the sort of problems that students may one day encounter. Most pages include a challenge activity, usually an extension of the main problem, which will further consolidate comprehension skills. Included throughout the book are brainteaser pages which focus on a particular problem solving strategy being highlighted.

The problem-solving activities in this book present real life problems in a realistic everyday context. The activities are based around a set of recurring characters who find themselves exposed to a range of real life problems that need to be solved; the sort of problems that students may one day encounter. Most pages include a challenge activity, usually an extension of the main problem, which will further consolidate comprehension skills. Included throughout the book are brainteaser pages which focus on a particular problem solving strategy being highlighted.

The problem-solving activities in this book present real life problems in a realistic everyday context. The activities are based around a set of recurring characters who find themselves exposed to a range of real life problems that need to be solved; the sort of problems that students may one day encounter. Most pages include a challenge activity, usually an extension of the main problem, which will further consolidate comprehension skills. Included throughout the book are brainteaser pages which focus on a particular problem solving strategy being highlighted.

Exam Board: Edexcel Level: GCSE 9-1 Foundation Subject: Maths Suitable for the 2023 exams Complete revision and practice to fully prepare for the GCSE grade 9-1 exams Revision that Sticks! Collins Edexcel GCSE 9-1 Maths Foundation Complete All-in-One Revision and Practice uses a revision method that really works: repeated practice throughout. A revision guide, workbook and practice paper in one book! With clear and concise revision for every topic, plus seven practice opportunities, Collins offers the best revision at the best price. For even more practice QR codes link directly from the topics in the revision guide to online interactive quick recall quizzes and to worked solution videos in the workbook. Includes: * grading guidance on the page to indicate different levels * quick tests as you go * end-of-topic practice questions * topic review questions later in the book * mixed practice questions at the end of the book * more topic-by-topic practice in the workbook * a complete exam-style paper * online quick recall quizzes for every topic * online video solutions for every topic * free Q&A flashcards to download online * free ebook version

For too many students, mathematics consists of facts in a vacuum, to be memorized because the instructor says so, and to be forgotten when the course of study is completed. In this all-too-common scenario, young learners often miss the chance to develop skills-specifically, reasoning skills-that can serve them for a lifetime. The elegant pages of Teaching Mathematical Reasoning in Secondary School Classrooms propose a more positive solution by presenting a reasoning- and discussion-based approach to teaching mathematics, emphasizing the connections between ideas, or why math works. The teachers whose work forms the basis of the book create a powerful record of methods, interactions, and decisions (including dealing with challenges and impasses) involving this elusive topic. And because this approach shifts the locus of authority from the instructor to mathematics itself, students gain a system of knowledge that they can apply not only to discrete tasks relating to numbers, but also to the larger world of people and the humanities.

A sampling of the topics covered:

• Whole-class discussion methods for teaching mathematics reasoning.
• Learning mathematical reasoning through tasks.
• Teaching mathematics using the five strands.
• Classroom strategies for promoting mathematical reasoning.
• Maximizing student contributions in the classroom.
• Overcoming student resistance to mathematical conversations.

Teaching Mathematical Reasoning in Secondary School Classrooms makes a wealth of cutting-edge strategies available to mathematics teachers and teacher educators. This book is an invaluable resource for researchers in mathematics and curriculum reform and of great interest to teacher educators and teachers.

A teachers' book for maths covering 'Mathematics in Nature', 'Pythagoras and Numbers', 'Platonic Solids' and 'Rhythm and Cycles'. Includes full colour illustrations and diagrams throughout. A resource for Steiner-Waldorf teachers for maths for Class 7 (age 12-13) and Class 8 (age 13-14). This book is a combined edition of Mathematics Around Us (for Class 7) and Mathematics in Space and Time (for Class 8).

Did you know that a circle has more than one side? Are you aware of the difference between 1:2 and 1/2? Could you spot when a 2D shape is actually 3D? Tackling Misconceptions in Primary Mathematics is a practical guide based on the principles that sound subject knowledge is key to fostering understanding, and addressing misconceptions is central to pupil progress. With an emphasis on preventing as well as unpicking misconceptions in the classroom, it offers trainee and practising teachers clear explanations, practical strategies, and examples of the classroom language and dialogue that will help pupils successfully navigate tricky topics. The book demonstrates the importance of preventing misconceptions through what is said, done and presented to children, giving a variety of examples of common misconceptions and exploring how they can be addressed in a classroom environment. Proper intervention at the point of misconception is regarded as a key skill for any outstanding classroom practitioner and the author stresses the value in understanding how the pupil got there and explaining that it's okay to make mistakes. Misconceptions are only one step away from correctly formed concepts if harnessed with care and skill. This comprehensive text is designed to be read as either a short course introduction, or dipped into as a guide to assist teaching. It is essential reading for trainee primary school teachers on all routes to QTS, as well as mathematics subject leaders and practising teachers looking to inspire the next generation of confident and inquisitive mathematicians.

Specifically designed for busy teachers who have responsibility for co-ordinating a subject area within their primary school. Each volume in the series conforms to a concise style, while providing a wealth of tips, case studies and photocopiable material that teachers can use immediately. There are special volumes dedicated to dealing with OFSTED, creating whole school policy and the demands of co-ordinating several subjects within a small school. The entire set of 16 volumes is available.

Exam Board: Edexcel Level: GCSE Subject: Maths First teaching: September 2015 First exams: June 2017 This book complements the Foundation Student Book and can be used alongside the Foundation Practice, Reasoning and Problem-solving Book to provide more in-depth practice. Consolidate understanding of key topics to help build confidence Support independent learning with scaffolded warm-up questions at the start of each section and hints to provide help when needed Help students practise reasoning and problem-solving skills with new questions that build on previous learning Challenge students with mixed exercises where students decide on the appropriate skills to apply.

Learn how children's literature can help K-5 students see the real-life applications of mathematical concepts. This user-friendly book shows how to use stories to engage students in building critical reasoning, abstract thinking, and communication skills, all while helping students understand the relevance of math in their everyday lives. Each chapter is dedicated to one of the eight Standards for Mathematical Practice, and offers examples of children's literature that can be used to help students develop that practice. You'll find out how to: Encourage students to persevere in solving mathematical problems and use multiple approaches to find the answer; Help students reason abstractly with the aid of concrete objects and visuals; Guide students in constructing arguments to explain their reasoning and engage in critical discussion with their peers; Teach students to recognize mathematical patterns and use them to solve problems efficiently; And more! The book offers activities for beginners as well as for more advanced problem solvers. Each chapter also provides guidance for ELLs and students with special needs, so no matter your classroom environment, you'll be able to use these strategies to make math class more dynamic, engaging, and fun.

This new series provides all the practice a child needs to build confidence in multiplication and division. More than 400 questions offer great revision of essential multiplication tables facts and guide every child through the processes of short and long multiplication and short and long division.

"This fantastic CGP 10-Minute Test book is perfect for helping pupils aged 8-9 prepare for the Maths element of the GL 11+ test. It contains over 30 bite-sized tests, each one covering a variety of important Maths skills. You can find complete answers for every question in a pull-out section at the back of the book, along with a progress chart so you can keep track of where pupils are up to. And to keep them motivated, there are fun, Maths-based puzzle pages throughout the book! This book also comes with a free Online Edition - just use the unique access code printed inside the cover to access it on a PC, Mac or tablet! "

This CGP Revision Guide is the ideal companion to Edexcel's 'Grade 9-1' International GCSE Maths course (specification A). Every topic is explained in a concise, friendly style, with plenty of step-by-step examples to make everything crystal clear. Grade information (on the new 9-1 scale) is included to show the difficulty level of each topic, and there are exam-style questions throughout the book. Finally, there's a code that gives you access to a free Online Edition of the whole book - this also includes fully worked answers to all the exam-style questions. For even more International GCSE Maths practice, try CGP's matching Workbook (9781782946724) and Exam Practice Workbook (9781782946700).

Bring ACT Math and Science prep into the classroom to enhance student learning! In this new copublication from Routledge and test-prep experts A-List Education, you'll learn how the updated ACT exam is closely aligned with the Common Core, making it easy to weave test prep into your curriculum and help students hone the skills they need for college readiness. The book is filled with practical examples of how the Common Core State Standards are connected to specific sections, question types, and strategies applicable to the ACT, so you can simultaneously prepare your students for the test while improving their overall math, science, and reasoning skills.