Improve mathematical skills and understanding with the only resource written specifically for the Caribbean region and published in association with City & Guilds. This resource is ideal for students, trainees and adults who desire to improve their mathematical skills whether in preparation for further education or for employment opportunities. - Thoroughly and systematically explore topics across each level with clear explanations, worked examples, tasks and test your knowledge multiple choice activities. - Focus your learning on the key concepts and strategies with learner tips and helpful reminders throughout. - Provides comprehensive coverage of all three certification levels, with content written by experienced examiners. - Get exam ready with clear objectives which indicate the skills to be developed and the area of the examination targeted. - Gain understanding of complex mathematical concepts with everyday transactional uses of mathematics.

A Volume in The Montana Mathematics Enthusiast: Monograph Series in Mathematics EducationSeries Editor Bharath Sriraman, The University of MontanaThe word "critical" in the title of this collection has three meanings, all of which are relevant. One meaning, as applied toa situation or problem, is "at a point of crisis." A second meaning is "expressing adverse or disapproving comments orjudgments." A third is related to the verb "to critique," meaning "to analyze the merits and faults of." The authorscontributing to this book pose challenging questions, from multiple perspectives, about the roles of mathematics insociety and the implications for education. Traditional reasons for teaching mathematics include: preparing a newgeneration of mathematics researchers and a cadre of technically competent users of mathematics; training students tothink logically; and because mathematics is as much part of cultural heritage as literature or music. These reasons remainvalid, though open to critique, but a deeper analysis is required that recognizes the roles of mathematics in framing manyaspects of contemporary society, that will connect mathematics education to the lived experiences of students, theircommunities, and society in general, and that acknowledges the global ethical responsibilities of mathematicians andmathematics educators.The book is organized in four sections (1) Mathematics education: For what and why?(2) Globalization and cultural diversity, (3) Mathematics, education, and society and (4) Social justice in, and through, mathematics educationThe chapters address fundamental issues such as the relevance of school mathematics in people's lives; creating a sense of agency for the field of mathematics education, and redefining the relationship between mathematics as discipline, mathematics as school subject and mathematics as part of people's lives.

This book examines new trends and developments in research related to the mathematical education of pre-service elementary teachers, and explores the implications of these research advances for theory and practice in teacher education. The book is organized around the following four overarching themes: pre-service teachers' mathematics content and mathematics-specific pedagogical preparation; professional growth through activities and assessment tools used in mathematics teacher preparation programs; pre-service mathematics teachers' knowledge and beliefs; and perspectives on noticing in the preparation of elementary mathematics teachers. Including contributions from researchers working in 11 different countries, the book offers a forum for discussing and debating the state of the art regarding the mathematical preparation of pre-service elementary teachers. By presenting and discussing the findings of research conducted in different countries, the book offers also opportunities to readers to learn about varying teacher education practices around the world, such as: innovative practices in advancing or assessing teachers' knowledge and beliefs, similarities and differences in the formal mathematics education of teachers, types of and routes in teacher education, and factors that can influence similarities or differences.

Packed with realistic exam-style questions for every topic, this newly updated Exam Practice Workbook is perfectly matched to the Higher Level GCSE Maths courses. 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 GCSE Maths also includes a matching Revision Guide (9781782943860) and Workbook (9781782943884).

This book is full of targeted practice to help children aged 8-9 build up their Maths skills for the 11+ (and other selective entrance exams). It's a superb way to give them a head-start in preparing for the test. The first section of the book helps children gain understanding and confidence by focusing on one topic at a time. 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 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!

NHM Year 1 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.

In the four decades since Imre Lakatos declared mathematics a "quasi-empirical science," increasing attention has been paid to the process of proof and argumentation in the field -- a development paralleled by the rise of computer technology and the mounting interest in the logical underpinnings of mathematics. Explanantion and Proof in Mathematics assembles perspectives from mathematics education and from the philosophy and history of mathematics to strengthen mutual awareness and share recent findings and advances in their interrelated fields. With examples ranging from the geometrists of the 17th century and ancient Chinese algorithms to cognitive psychology and current educational practice, contributors explore the role of refutation in generating proofs, the varied links between experiment and deduction, the use of diagrammatic thinking in addition to pure logic, and the uses of proof in mathematics education (including a critique of "authoritative" versus "authoritarian" teaching styles).

A sampling of the coverage:

• The conjoint origins of proof and theoretical physics in ancient Greece.
• Proof as bearers of mathematical knowledge.
• Bridging knowing and proving in mathematical reasoning.
• The role of mathematics in long-term cognitive development of reasoning.
• Proof as experiment in the work of Wittgenstein.
• Relationships between mathematical proof, problem-solving, and explanation.

Explanation and Proof in Mathematics is certain to attract a wide range of readers, including mathematicians, mathematics education professionals, researchers, students, and philosophers and historians of mathematics.

The Busy Ant Maths Pupil Book 6B contains three levels of differentiated challenge built-in to each lesson as well as extra consolidation and extension activities to ensure rapid progression for every child. "The Busy Ant Maths Pupil Book 6B contains three levels of differentiated challenge built-in to each lesson as well as extra consolidation and extension activities to ensure rapid progression for every child. Used in conjunction with the Teacher's Guide, Progress Guide and Homework Guide, this book is the best way to ensure that pupils achieve all the learning objectives of the new Primary Maths National Curriculum."

No Nonsense Number Facts provides a coherent programme for supporting fluency in number facts. It focuses on using understanding of mathematical relationships and making connections between what is known and unknown, putting reasoning at the heart of teaching for fluency. This is in line with the aims of both the National Curriculum and Teaching for Mastery. * The elements of the National Curriculum that focus on number facts are grouped around key understandings in each year, so that the content follows a clear progression. * Teaching activities are designed to run for 15-30 minutes. * Resources for use in the activities are provided. * Lesson organisation is clear but flexible, so it can be adapted to the needs of your pupils. * The included USB stick contains editable files of all overviews, lessons plans and resources, as well as video guidance from the authors.

Mathematics and Science education have both grown in fertile directions in different geographic regions. Yet, the mainstream discourse in international handbooks does not lend voice to developments in cognition, curriculum, teacher development, assessment, policy and implementation of mathematics and science in many countries. Paradoxically, in spite of advances in information technology and the "flat earth" syndrome, old distinctions and biases between different groups of researcher's persist. In addition limited accessibility to conferences and journals also contribute to this problem. The International Sourcebooks in Mathematics and Science Education focus on under-represented regions of the world and provides a platform for researchers to showcase their research and development in areas within mathematics and science education. The First Sourcebook on Asian Research in Mathematics Education: China, Korea, Singapore, Japan, Malaysia and India provides the first synthesized treatment of mathematics education that has both developed and is now prominently emerging in the Asian and South Asian world. The book is organized in sections coordinated by leaders in mathematics education in these countries and editorial teams for each country affiliated with them. Thepurpose of unique sourcebook is to both consolidate and survey the established body of research in these countries with findings that have influenced ongoing research agendas and informed practices in Europe, North America (and other countries) in addition to serving as a platform to showcase existing research that has shaped teacher education, curricula and policy in these Asian countries. The book will serve as a standard reference for mathematics education researchers, policy makers, practitioners andstudents both in and outside Asia, and complement the Nordic and NCTM perspectives.

Rhetorical Ways of Thinking focuses on how the co-construction of learning models the interpretation of a mathematical situation. It is a comprehensive examination of the role of sociocultural-historical theory developed by Vygotsky. This book puts forward the supposition that the major assumptions of sociocultural-historic theory are essential to understanding the theory's application to mathematical pedagogy, which explores issues relevant to learning and teaching mathematics-in-context, thus providing a valuable practical tool for general mathematics education research. The most important goal, then, is to exemplify the merging of the theory with practice and the subsequent applications to mathematics teaching and learning. This monograph contains five chapters, including a primer to Vygotsky's sociocultural historic theory, three comprehensive empirical studies examining: prospective teachers' perception of mathematics teaching and learning and the practice of scaffolded instruction to assist practicing teachers in developing their understanding of pedagogical content knowledge. Finally, the book concludes with a contextualization of the theory, linking it to best practices in the classroom.

The popular Oxford successful mathematical literacy series has been updated and upgraded in alignment with the new National Curriculum and Assessment Policy Statement (CAPS) requirements. The series now offers valuable additional material such as exam preparation and study skills, to help learners excel in formal assessments. The rich, relevant content fully covers the CAPS, ensuring that learners stay interested throughout the year. Features: all chapters and units are ordered and paced according to the CAPS work schedule; a career feature highlights possible future careers for learners, and provides exposure to careers, as well as the qualifications required; summaries and revision exercises in each chapter help learners prepare for formal assessments; practice exam papers are included in this book.

NHM Year 1 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, the outcome of a conference organised in 2012 in Paris as a homage to Michele Artigue, is based on the main component of this event. However, it offers more than a mere reflection of the conference in itself, as various well-known researchers from the field have been invited to summarize the main topics where the importance of Artigue's contribution is unquestionable. Her multiple interest areas, as a researcher involved in a wider community, give to this volume its unique flavour of diversity. Michele Artigue (ICMI 2013 Felix Klein Award, CIAEM 2015 Luis Santalo Award) is without doubt one of the most influential researchers nowadays in the field of didactics of mathematics. This influence rests both on the quality of her research and on her constant contribution, since the early 1970s, to the development of the teaching and learning of mathematics. Observing her exemplary professional history, one can witness the emergence, the development, and the main issues of didactics of mathematics as a specific research field.

NHM Reception Activity Books: 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.

In a changing world that demands new skills, a vital concern of public education is the gap in academic performance between low- and high-achieving students. There is no excuse for the achievement gaps that persist among poor and minority students in schools today. All students can succeed at high levels, regardless of race, ethnicity and economic background. Several countries have successfully confronted inequities in achievement, demonstrating that any school can close achievement gaps regardless of the community they serve, and that all students can achieve at high levels when they are provided with the right opportunities. This book is about understanding what factors selected countries have applied to promote progress and what factors contribute to progress in the closing of achievement gaps. It is about creating opportunities for all students.
"Closing the Achievement Gap from an International Perspective: Transforming STEM for Effective Education" is written in response to rising concern for the improvement of quality education - especially in mathematics and science - provided to all students. The contributors take a systematic view of the subject, beginning with a cross-national analysis of teacher qualifications and the achievement gap that spans 50 countries. The content of the book is organized in sections describing education around the globe: North and South America, Europe, Asia, Africa and Australia. Individual chapters offer close-up analysis of efforts to close achievement gaps in the U.S. and Canada, Mexico, England, Turkey, China, South Africa and Australia among many others.The contributors provide information on the achievement gap in mathematics and science, review current research, and present strategies for fostering improvement and raising performance with a focus on school-related variables that adversely affect educational outcomes among poor and minority students. The authors of the various chapters looked at how students' data correlated with classroom practices, teacher instruction and academic programming, as part of their efforts to measure student growth. Qualitative and quantitative data are provided to provide evidence not only of the problem, but also for the solution. The book concludes with a chapter on promoting equality and equity to shrink the achievement gap worldwide."

Chapters in this book recognize the more than forty years of sustained and distinguished lifetime achievement in mathematics education research and development of Jeremy Kilpatrick. Including contributions from a variety of skilled mathematics educators, this text honors Jeremy Kilpatrick, reflecting on his groundbreaking papers, book chapters, and books - many of which are now standard references in the literature - on mathematical problem solving, the history of mathematics education, mathematical ability and proficiency, curriculum change and its history, global perspectives on mathematics education, and mathematics assessment. Many chapters also offer substantial contributions of their own on important themes, including mathematical problem solving, mathematics curriculum, the role of theory in mathematics education, the democratization of mathematics, and international perspectives on the professional field of mathematics education.