This book serves as a valuable resource for mathematics and science teachers at secondary school level, teenagers and parents. It contains written versions of Royal Institution masterclasses on a wide selection of topics in pure and applied mathematics. The masterclasses are a popular program of advanced study conducted each year for mathematically talented university-bound British youth. They serve as a unique introduction to the kinds of topics found at the undergraduate level, yet presented in a manner that is meant to stimulate interest and challenge young minds. Topics include chaos theory, meteorology, storage limitations of computers, population growth and decay, as well as the mechanics of dinosaurs. The book is well-illustrated, easy to read, and contains worksheets with interesting problems (and solutions). The emphasis throughout is on enjoying the challenge of mathematics.

Exam Board: Edexcel Level: GCSE 9-1 Higher 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 Higher 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

With recent changes in the curriculum and standards in language arts and mathematics, parents often are challenged to find ways to help their children be successful in their learning endeavors. While parents want to be involved in their children's education, they are often unsure of their role in their children's learning and the best ways to help their children to succeed academically. Moreover, with the changes in how math and literacy are being taught, parents often struggle with helping even first grade children with their homework. In this book we set out to alleviate this struggle, by offering parents a resource they can use to navigate their child's education, communicate with teachers, and support their children in learning mathematics and literacy. After providing an overview of the current educational climate and tips for communication with teachers, we share strategies and suggestions parents can use to assist their children in language arts and mathematics. We provide detailed descriptions of activities, games, books, and conversations that connect with what children will be learning at each grade level.

Primary Maths for Scotland Textbook 2C is the third of 3 second level textbooks. These engaging and pedagogically rigorous books are the first maths textbooks for Scotland completely aligned to the benchmarks and written specifically to support Scottish children in mastering mathematics at their own pace. Primary Maths for Scotland Textbook 2C is the third of 3 second level textbooks. The books are clear and simple with a focus on developing conceptual understanding alongside procedural fluency. They cover the entire second level mathematics Curriculum for Excellence in an easy-to-use set of textbooks which can fit in with teacher's existing planning, resources and scheme of work. - Packed with problem-solving, investigations and challenging problems - Diagnostic check lists at the start of each unit ensure that pupils possess the required pre-requisite knowledge to engage on the unit of work - Worked examples and non-examples help pupils fully understand mathematical concepts - Includes intelligent practice that reinforces pupils' procedural fluency

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

This unique book presents mathematical competition problems primarily aimed at upper elementary school students, but are challenging for students at any age. These problems are drawn from the complete papers of the legendary Leningrad Mathematical Olympiads that were presented to the city's Grade Five students. The period covered is between 1979 - the earliest year for which relevant records could be retrieved - and 1992, when the former Soviet Union was dissolved. The respective chapters reflect the famous four-step approach to problem solving developed by the great Hungarian mathematics educator Gyorgy Polya. In Chapter One, the Grade Five Competition problems from the Leningrad Mathematical Olympiads from 1979 to 1992 are presented in chronological order. In Chapter Two, the 83 problems are loosely divided into 26 sets of three or four related problems, and an example is provided for each one. Chapter Three provides full solutions to all problems, while Chapter Four offers generalizations of the problems. This book can be used by any mathematically advanced student at the upper elementary school level. Teachers and organizers of outreach activities such as mathematical circles will also find this book useful. But the primary value of the book lies in the problems themselves, which were crafted by experts; therefore, anyone interested in problem solving will find this book a welcome addition to their library.

Over the past thirty years, Holt High School in central Michigan has engaged in a quiet revolution that has transformed mathematics teaching and learning in the district. From its roots as a rural high school housed in a single building in the 1980s, the high school mathematics staff has grown an innovative, meaningful high school mathematics curriculum that sees nearly every student in the district completing the equivalent of Precalculus. Tracking was dropped in favor of an evolving suite of supports designed to promote student success in unifying, rather than segregating, ways. Mathematics classrooms in Holt are discourse-rich environments where teachers and students explore meaningful uses for mathematics as they reason and problem solve together. This transformation took place and persists amidst changing professional partnerships, shifting district demographics, increasing accountability measures at the state and national level, and turnover in teaching staff and district leadership. In this book, we explore the case of Holt High School though an exploration of how the mathematics curriculum has shifted over the past thirty years, and the conditions and supports that have been put in place in the district to make this work fruitful and sustainable. The story includes successes, failures, celebrations and challenges as we chronicle Holt's high school mathematics evolution. Guiding questions, protocols, and reflective activities are provided for teachers and district leaders to begin the challenging conversations in their own district that lead to meaningful change.

This resource offers a groundbreaking effort to make mathematics education research on ratios and proportions readily accessible and understandable to preservice and in-service teachers of grades 6 to 8. Using extensive annotated samples of student work and based on research gathered in the Ongoing Assessment Project (OGAP), A Focus on Ratios and Proportions teaches readers how students develop understanding and fluency involving ratio and proportion concepts. Special features include: A close focus on student work, including 150+ annotated pieces of student work, to help teachers improve their ability to recognize, assess and monitor their students' errors and misconceptions, as well as their developing conceptual understanding. A focus on the OGAP Ratios and Proportions Progression, based on research conducted with hundreds of teachers and thousands of pieces of student work. Sections on how Common Core State Standards for Math (CCSSM) are supported by math education research. Student work samples and vignettes to illuminate the research, as well as end of chapter Looking Back questions and Instructional Links, which allow teachers to analyze evidence of student thinking and strategies and consider instructional responses. An accompanying eResource, available online, offers an answer key as well as extensive explanation of the Looking Back questions. Like A Focus on Multiplication and Division and A Focus on Fractions, this book is designed to bridge the gap between what math education researchers know and what teachers need to know in order to better understand evidence in student work and make effective instructional decisions.

Our Foundation Level GCSE Maths Revision Guide for the OCR course is packed with concise, student-friendly explanations of every topic, backed up with plenty of step-by-step examples, in CGP's clear informal and (dare we say) humorous style. We've also included helpful grade stamps to show the difficulty level of each topic, alongside plenty of exam-style questions with answers at the back! QR codes throughout give quick and easy access to worked video solutions from our in-house experts, plus a selection of challenging online quizzes! A unique code in the front of the book gives you access to the free Online Edition of the whole book on your PC, Mac or tablet. From here, you can also view/print full step-by-step answers to all the exam-style questions!

This book reports on an innovative study into the first five years of mathematics teaching: FIRSTMATH. For the first time, the study has developed a viable methodology to analyze the knowledge, skills, and dispositions of beginning mathematics teachers as well as instruments to explore the contexts where they work. The book provides a step by step account of this exploratory (proof-of-concept) research study, using a comparative and international approach, and introduces readers to the challenges entailed. The FIRSTMATH study promises the development of methods and strategies to make it possible for teacher educators and future teachers to examine (and improve on) their own practices in an important STEM area.

Support English language skills while improving subject content knowledge with a comprehensive three-level lower secondary programme specifically designed for non-native English speaking students studying Mathematics through the medium of English. - Benefit from a flexible programme that ensures thorough preparation for the IGCSE and equivalent courses and is suitable as a stand-alone course. - Engage interest with clear text, stimulating exercises and numerous worked examples. Reinforce the material taught within each lesson with the accompanying Workbook, providing extra practice and homework activities. Make the most of the series with the Teacher's Guide containing answers to the Coursebook and Workbook exercises, guidance on delivering lessons and methodological support.

Challenge your kid to crack these video-game themed math codes and show them how much fun learning can be! Kids can choose from over 50 colorfully illustrated puzzles featuring their favorite gaming characters and scenarios. Their mission: to unlock the secret code, spell out the secret message, or solve the equation before the game ends (or the creeper explodes!). With diamond swords, suits of armor, zombies, and magical potions to keep every page fun and exciting, kids won't even realize that they're practicing and developing core math and problem-solving skills. Builds foundational math skills in addition, subtraction, multiplication, and division. Helps them practice fact families, balancing equations, and more. Encourages young gamers to use what they know to tackle exciting math challenges Supports classroom learning at home, in the car, and anywhere else you take it with you! Perfect for reluctant learners and kids who can't get enough of math or secret codes, Math Codes for Minecrafters makes every kid feel like they're winning at math.

This chunky CGP Textbook contains thousands of practice questions (with answers) comprehensively covering Foundation Level Grade 9-1 GCSE 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 9781782944577.

This book offers an up-to-date overview of the research on philosophy of mathematics education, one of the most important and relevant areas of theory. The contributions analyse, question, challenge, and critique the claims of mathematics education practice, policy, theory and research, offering ways forward for new and better solutions. The book poses basic questions, including: What are our aims of teaching and learning mathematics? What is mathematics anyway? How is mathematics related to society in the 21st century? How do students learn mathematics? What have we learnt about mathematics teaching? Applied philosophy can help to answer these and other fundamental questions, and only through an in-depth analysis can the practice of the teaching and learning of mathematics be improved. The book addresses important themes, such as critical mathematics education, the traditional role of mathematics in schools during the current unprecedented political, social, and environmental crises, and the way in which the teaching and learning of mathematics can better serve social justice and make the world a better place for the future.

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.

Each test should take about 15 minutes, however it is more important that a child completes the test accurately and does not rush their answers. Children will speed up naturally with practice. These tests extend children's learning beyond their expected age-related National Curriculum standard. The testbook provides practice 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. The testbooks are designed to be used in conjunction with the KS2 Maths workbooks as an additional learning tool. After completion, the maths testpack should be used for final exam preparation. Answers, Progress Charts and a Certificate of Achievement are included at the end of the book. All our materials have been rigorously classroom tested. The methodologies have been successfully used in AE Tuition classes for over 20 years.

* Five fun stories to support teachers to introduce early mathematical concepts that children often struggle with. * Stories accompanied by step by step teacher resource guide * Suitable for Key Stage 1 * Each story will present a different aspect of the Key Stage 1 maths curriculum

For many years, increasing stress has been placed on the importance of giving the under-sevens a good start in mathematics. Originally published in 1991, Mathematics for Young Children shows how children as young as four and five and of all abilities can be encouraged to carry out their own mathematical explorations whilst covering the content of a prescribed curriculum. A substantial part of the book is taken up with actual case-studies of children working with Marion Bird in a reception classroom, fully illustrated with examples of the children's work. These case-studies are then analysed to show how a prescribed syllabus can be effectively covered through an investigational approach: a point which is of paramount importance to teachers concerned with the introduction of the National Curriculum. The role of the teacher, too, is examined carefully in order to identify those parts of a teacher's repertoire which seems to be particularly fruitful in encouraging young children's active mathematical thinking. Throughout, readers are encouraged to apply and amend ideas to suit their own particular circumstances.

Giving students opportunities to read like mathematicians as they explore content has the potential to move their thinking and understandings in monumental ways. Each chapter presented in this volume provides readers with approaches and activities for pairing a young adult novel with specific mathematics concepts. Chapters include several instructional activities for before, during, and after reading as well as extension activities that move beyond the text as students continue to develop mathematical literacy.

Learning + fun = TeeJay Maths! The No.1 choice for Scottish parents and teachers for over 25 years - Help your child to develop essential numeracy and mathematical skills throughout Primary 1 - Watch your child's confidence grow as they practise and improve their maths skills - Check understanding using 'I can do this' pages at the end of each topic 6 clear and colourful write-in workbooks - Easy for you to use - Fun for your child to fill in! Topics covered: - Counting 0 to 5 - Counting 0 to 10 - Ordering Numbers 0 to 10 - Adding 0 to 5 - Adding 0 to 10 - Subtraction 0 to 10

This book highlights innovative approaches to preparing secondary mathematics teachers. Based on empirical findings gathered in several countries on five continents, it provides a wealth of best practices for preparing secondary mathematics teachers, and discusses issues related to their professional and personal growth, such as identity, content knowledge, and pedagogical content knowledge which also includes knowledge of integrating technology into teaching and learning mathematics. Divided into four parts, the book focuses on field experiences, technologies, tools and resources, teacher knowledge, and teacher professional identities. Some of the main threads running through the book are: the importance of university and school partners working together to ensure preservice secondary mathematics teacher' success in developing pedagogical strategies that lead toward students' mathematical engagement and achievement; the critical need for preservice secondary mathematics teachers to develop strong content knowledge and pedagogical content knowledge; and the importance of providing opportunities, during pre-service education, for developing prospective teachers professional identities.

With a huge range of Maths practice for ages 7 to 8, plus fully explained answers to every question, this book is ideal for building up the skills children need for the 11+ and other selective entrance exams. The first section of the book focuses on one topic at a time to help children gain understanding and confidence. This is followed by six Assessment Tests to improve their speed and accuracy across a wide range of questions. And if they get stuck or go wrong, the detailed pull-out answers make it easy to understand the reasoning behind the questions. Multiple-choice answer sheets for the Assessment Tests are available to download from the CGP website. This book is ideal for the 11+ tests set by GL Assessment and other test providers, and provides excellent practice for the Kent Test. A separate edition for the CEM tests is also available. Great news - 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!

STEM Teaching: An Interdisciplinary Approach breaks from the more historical idea of making knowledge within disciplines and seeks to engage the reader in a growing conversation that is gaining momentum and is focused on an 'interdisciplinarity of STEM education', which seeks to embrace and/or present emerging perspectives on the standards. Importantly, the conversation on STEM education and interdisciplinary approaches to teacher preparation may draw into specific relief the respective professional and/or disciplinary standards for each of the four STEM disciplines as each relates to fostering an interdisciplinary approach. The importance and relevance of this interdisciplinary perspective to teacher preparation lies in the realization that STEM literacy moves into everyday lives and thinking, and not just in STEM related disciplines. This means that faculty in teacher preparation need to extend the range of STEM literacy in pedagogical strategies so that STEM teaching is enriched with multimodal literacies into teaching and learning, which in turn makes STEM knowledge more relevant and engaging for its manifest connections to solving the problems that challenge society.