"I genuinely believe I have never taught mathematics better, and my students have never learned more. I just wish I had known all of this twelve years ago."Craig Barton is one of the UK's most respected teachers of mathematics. In his remarkable new book, he explains how he has delved into the world of academic research and emerged with a range of simple, practical, effective strategies that anyone can employ to save time and energy and have a positive impact on the long-term learning and enjoyment of students. Craig presents the findings of over 100 books and research articles from the fields of Cognitive Science, Memory, Psychology and Behavioural Economics, together with the conversations he has had with world renowned educational experts on his Mr Barton Maths Podcast, and subsequent experiments with my students and colleagues.

This book addresses how forward-thinking local communities are integrating pre-college STEM education, STEM pedagogy, industry clusters, college programs, and local, state and national policies to improve educational experiences, drive local development, gain competitive advantage for the communities, and lead students to rewarding careers. This book consists of three sections: foundational principles, city/regional case studies from across the globe, and state and national context. The authors explore the hypothesis that when pre-college STEM education is integrated with city and regional development, regions can drive a virtuous cycle of education, economic development, and quality of life. Why should pre-college STEM education be included in regional technology policy? When local leaders talk about regional policy, they usually talk about how government, universities and industry should work together. This relationship is important, but what about the hundreds of millions of pre-college students, taught by tens of millions of teachers, supported by hundreds of thousands of volunteers, who deliver STEM education around the world? Leaders in the communities featured in STEM in the Technopolis have recognized the need to prepare students at an early age, and the power of real-world connections in the process. The authors advocate for this approach to be expanded. They describe how STEM pedagogy, priority industry clusters, cross-sector collaboration, and the local incarnations of global development challenges can be made to work together for the good of all citizens in local communities. This book will be of interest to government policymakers, school administrators, industry executives, and non-profit executives. The book will be useful as a reference to teachers, professors, industry professional volunteers, non-profit staff, and program leaders who are developing, running, or teaching in STEM programs or working to improve quality of life in their communities.

KS3 Maths Progression Workbooks offer extra practice of key content, along with progression checkers at the end of each Unit and plenty of dynamic student support. * Hundreds of extra practice questions at different levels of difficulty: Mastery, Strengthen and Extend * Guided questions with partially worked solutions, hints and QR codes linking to worked example videos give students crucial support * Progression checkers at the end of each Unit encourage students to take ownership of their learning, and allows them to track their progress as they work through the book. 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.

Mastering Primary Design and Technology introduces the primary design and technology curriculum and helps trainees and teachers learn how to plan and teach inspiring lessons that make design and technology learning irresistible. Topics covered include: * Current developments in design and technology * Design and technology as an irresistible activity * Design and technology as a practical activity * Skills to develop in design and technology * Promoting curiosity * Assessing children in design and technology * Practical issues This guide includes examples of children's work, case studies, readings to reflect upon and reflective questions that all help to exemplify what is considered to be best and most innovative practice. The book draws on the experience of a leading professional in primary design and technology, Gill Hope, to provide the essential guide to teaching design and technology for all trainee and qualified primary teachers.

Note that the Floris Books editions of Jamie York's books have been completely revised for UK and European notation, language and metric systems. They are also suitable for use in South Africa, Australia and New Zealand. Experienced maths teacher and consultant Jamie York believes that a love of learning comes through the teacher, so his books are committed to supporting teachers in developing their classroom skills and to fostering a love of maths in their students. Unlike conventional maths textbooks, his books are not full of fancy graphics and contrived ways to make maths fun. Rather, they: -- focus on the essentials, so teachers aren't overwhelmed by endless lists of required materials -- are genuinely interesting and challenging, sparking students' enthusiasm for learning maths -- are developmentally appropriate to the age of the child, thereby encouraging inner mathemetical awareness and thinking -- favour depth over superficiality, to avoid teaching blind procedures to solve meaningless problems. This student's workbook for Class 8 contains practice questions, with room for working, on all the topics a student needs to cover in Steiner-Waldorf Class 8 (age 14-15). The book includes number bases, Pythagorean theorem, mensuration, percents and growth, and proportions and dimensional analysis. Note that this workbook is also available in a pack of ten with a teacher's answer booklet.

This book focuses on how to improve the teaching and learning of primary level mathematics education within resource-constrained contexts. It builds on two large numeracy projects within South Africa which speak to broader, global concerns and highlight how research and development not only enables one to meet ethical imperatives but also explore how further interventions can be developed. Teacher and research communities must work together to create mutually beneficial relationships and establish a cohesive understanding of the requirements of primary mathematics education.

The transition from school mathematics to university mathematics is seldom straightforward. Students are faced with a disconnect between the algorithmic and informal attitude to mathematics at school, versus a new emphasis on proof, based on logic, and a more abstract development of general concepts, based on set theory. The authors have many years' experience of the potential difficulties involved, through teaching first-year undergraduates and researching the ways in which students and mathematicians think. The book explains the motivation behind abstract foundational material based on students' experiences of school mathematics, and explicitly suggests ways students can make sense of formal ideas. This second edition takes a significant step forward by not only making the transition from intuitive to formal methods, but also by reversing the process- using structure theorems to prove that formal systems have visual and symbolic interpretations that enhance mathematical thinking. This is exemplified by a new chapter on the theory of groups. While the first edition extended counting to infinite cardinal numbers, the second also extends the real numbers rigorously to larger ordered fields. This links intuitive ideas in calculus to the formal epsilon-delta methods of analysis. The approach here is not the conventional one of 'nonstandard analysis', but a simpler, graphically based treatment which makes the notion of an infinitesimal natural and straightforward. This allows a further vision of the wider world of mathematical thinking in which formal definitions and proof lead to amazing new ways of defining, proving, visualising and symbolising mathematics beyond previous expectations.

Tried and tested over many years throughout South Africa, Oxford successful English is a content-rich First Additional Language programme that makes provision for learners of mixed ability. Teaching all the skills required of learners in the foundation phase, including phonics and spelling, the course ensures accurate and comprehensive National CAPS coverage and adequately prepares learners for the Annual National Assessment in Grade 3. Features: in Grade 2 the reading books contain simplified versions of the texts from the big books, ideal for supporting group guided reading as well as paired and independent reading; the rich texts in the reading books develop and extend reading and listening skills.

Exam Board: Edexcel Level: GCSE Subject: Maths First teaching: September 2015 First exams: June 2017 New Revise Edexcel GCSE (9-1) Mathematics Foundation 'Bootcamp' empowers you to help plan your revision more effectively for exam success. Ideal for the run-up to their GCSEs, 'Bootcamp' breaks down subject content into 30 key areas which can each be covered in 20 minutes, helping you effectively review the whole subject in just 10 hours. Designed for classroom and independent study, 'Bootcamp' complements other Revise Pearson Edexcel GCSE (9-1) Mathematics titles, providing: Memorable chunks of short revision points to help you consolidate Maths concepts. Exam-style practice questions with hints and tips. Write-on format: everything in one place. Trackers on every page to help you mark their revision progress.

Packed with realistic exam-style questions for every topic, this newly updated Exam Practice Workbook is perfectly matched to the Higher Level Edexcel GCSE Maths course. Handy grade stamps indicate the difficulty level of each question, and problem-solving stamps highlight those that require a bit of extra thought. There are also plenty of helpful exam tips throughout the book. Plus, it comes with complete step-by-step solutions (with a full mark scheme) at the back of the book, so it's simple for students to check and correct their work - and there are even QR codes to access brilliant new worked video solutions! And finally, the book is rounded off with a full set of mock exam papers - the answers to these are available to download from the CGP website. CGP's range for Higher Level Edexcel GCSE Maths also includes a matching Revision Guide (9781782944041), Workbook (9781782944072) and Grade 8-9 Targeted Exam Practice Workbook (9781782944157).

The innovative volume seeks to broaden the scope of research on mathematical problem solving in different educational environments. It brings together contributions not only from leading researchers, but also highlights collaborations with younger researchers to broadly explore mathematical problem-solving across many fields: mathematics education, psychology of education, technology education, mathematics popularization, and more. The volume's three major themes-technology, creativity, and affect-represent key issues that are crucially embedded in the activity of problem solving in mathematics teaching and learning, both within the school setting and beyond the school. Through the book's new pedagogical perspectives on these themes, it advances the field of research towards a more comprehensive approach on mathematical problem solving. Broadening the Scope of Research on Mathematical Problem Solving will prove to be a valuable resource for researchers and teachers interested in mathematical problem solving, as well as researchers and teachers interested in technology, creativity, and affect.

Geometry has never been funnier! Green, funny aliens will help children to master the knowledge of shapes, formulas and figures. A new, entertaining activity book to challenge young readers joins the worldwide successful "Mad for Math" series with a collection of fun games based on geometry - which can really be fun! Children can be challenged with games of growing complexity throughout this activity book - and all answers can be found at the end. A didactic and educational, yet entertaining book which teaches children that you can not only play with geometry...but also to have fun with it! Includes 8 pages of stickers

Collins Cambridge IGCSE (TM) Maths Student's Book - Fourth Edition provides in-depth coverage of every aspect of the revised Cambridge IGCSE and IGCSE (9-1) Mathematics syllabuses (0580/0980) for examination from 2025. The resource covers the Core and Extended syllabus. Exam Board: Cambridge Assessment International Education For examination from: 2025 Support and challenge students with both the Core and Extended syllabus content clearly labelled in one book. Cover the syllabus with confidence with clear references to what students will learn at the start of every chapter and content fully updated for the revised syllabus and assessment. Grow confidence working without a calculator with clearly labelled questions and exercises. Familiarise students with a mix of structured and unstructured questions throughout. Develop problem solving with questions that require students to apply their skills, often in real life, international contexts. Help students to prepare for examination with past paper questions. Emphasise the relevance of maths with 'Why this chapter matters' showing maths in everyday life or historical development. Consolidate understanding with tried and tested questions in extensive practice exercises and detailed worked examples. Deliver a fully international course with international examples, contexts, names, currency and locations. Assist English as Second Language learners understand complex mathematical terminology with clear key term definitions, gathered in a glossary. Encourage students to check their work with answers to all exercise questions at the back of the book. We are working with Cambridge Assessment International Education towards endorsement of this title.

Pook Press celebrates the great Golden Age of Illustration in children's literature. Many of the earliest children's books, particularly those dating back to the 1850s and before, are now extremely scarce and increasingly expensive. Pook Press are working to republish these classic works in affordable, high quality, colour editions, using the original text and artwork so these works can delight another generation of children.

NHM Year 5 Textbook: Uses language at an appropriate reading level. Places maths in a variety of contexts. Provides problem-solving activities. Reinforces and extends your pupils' fluency in number facts and mental calculation strategies.

These practice papers are designed to be completed after our 11+ Maths workbooks and short testbooks. They should be used as learning reinforcement and are essential for exam preparation. Each practice paper simulates the format and content of the 11+ exam and may be completed as a standard or multiple-choice test. Each test should take about 50 minutes, however it is more important that a child completes the test accurately and does not rush. Children will speed up naturally with practice.

Platinum Natural sciences and technology Grade 5 provides superior CAPS coverage and has been approved by the Department of Basic Education. What makes the Platinum Natural sciences and technology grade 5-6 course unique? Special skills focus pages are provided to develop a new skill or to revise a prior skill; key concepts boxes summarises the unit in just a few sentences making it easier for learners to recall what's important; the programme of assessment is built in throughout each term of the learner's book, exactly where you need them for ease of use; revision sections include summary activities, language activities and revision activities giving your learners many chances to revise content and concepts; free book of photocopiable remediation & extension worksheets.

This book surveys and examines different approaches and practices that contribute to the changes in mathematics instruction, including (1) innovative approaches that bring direct changes in classroom instructional practices, (2) curriculum reforms that introduce changes in content and requirements in classroom instruction, and (3) approaches in mathematics teacher education that aim to improve teachers expertise and practices. It also surveys relevant theory and methodology development in studying and assessing mathematics instruction.

Classroom instruction is commonly seen as one of the key factors contributing to students learning of mathematics, but much remains to be understood about teachers instructional practices that lead to the development and enactment of effective classroom instruction, and approaches and practices developed and used to transform classroom instruction in different education systems.

Transforming Mathematics Instruction is organized to help readers learn not only from reading individual chapters, but also from reading across chapters and sections to explore broader themes, including:

- Identifying what is important in mathematics for teaching and learning emphasized in different approaches;

- Exploring how students learning is considered and facilitated through different approaches and practices;

- Understanding the nature of various approaches that are valued in different systems and cultural contexts;

- Probing culturally valued approaches in identifying and evaluating effective instructional practices.

The book brings new research and insights into multiple approaches and practices for transforming mathematics instruction to the international community of mathematics education, with 25 chapters and four section prefaces contributed by 56 scholars from 10 different education systems. This rich collection is indispensable reading for mathematics educators, researchers, teacher educators, curriculum developers, and graduate students interested in learning about different instructional practices, approaches for instructional transformation, and research in different education systems.

It will help readers to reflect on approaches and practices that are useful for instructional changes in their own education systems, and also inspire them to identify and further explore new areas of research and program development in improving mathematics teaching and learning.

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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.