This twenty-third ICMI Study addresses for the first time mathematics teaching and learning in the primary school (and pre-school) setting, while also taking international perspectives, socio-cultural diversity and institutional constraints into account. One of the main challenges of designing the first ICMI primary school study of this kind is the complex nature of mathematics at the early level. Accordingly, a focus area that is central to the discussion was chosen, together with a number of related questions. The broad area of Whole Number Arithmetic (WNA), including operations and relations and arithmetic word problems, forms the core content of all primary mathematics curricula. The study of this core content area is often regarded as foundational for later mathematics learning. However, the principles and main goals of instruction on the foundational concepts and skills in WNA are far from universally agreed upon, and practice varies substantially from country to country. As such, this study presents a meta-level analysis and synthesis of what is currently known about WNA, providing a useful base from which to gauge gaps and shortcomings, as well as an opportunity to learn from the practices of different countries and contexts.

From the creators of the bestselling Brain Games for Clever Kids, this book contains mental maths conundrums to solve.

Clever Kids can test their mental maths by working out simple fractions, times tables, telling the time and much more. All the answers can be found at the back of the book.

From best-selling puzzle book author Gareth Moore, creator of the chart-topping success Brain Games for Clever Kids that has sold over 70,000 copies in the UK.

A volume in the International Sourcebooks in Mathematics and Science Education Series Editor: Bharath Sriraman, The University of Montana 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. The purpose 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 and students both in and outside Asia, and complement the Nordic and NCTM perspectives.

This book presents the breadth and diversity of empirical and practical work done on statistics education around the world. A wide range of methods are used to respond to the research questions that form it's base. Case studies of single students or teachers aimed at understanding reasoning processes, large-scale experimental studies attempting to generalize trends in the teaching and learning of statistics are both employed. Various epistemological stances are described and utilized. The teaching and learning of statistics is presented in multiple contexts in the book. These include designed settings for young children, students in formal schooling, tertiary level students, vocational schools, and teacher professional development. A diversity is evident also in the choices of what to teach (curriculum), when to teach (learning trajectory), how to teach (pedagogy), how to demonstrate evidence of learning (assessment) and what challenges teachers and students face when they solve statistical problems (reasoning and thinking).

This book provides a common language for and makes connections between transfer research in mathematics education and transfer research in related fields. It generates renewed excitement for and increased visibility of transfer research, by showcasing and aggregating leading-edge research from the transfer research community. This book also helps to establish transfer as a sub-field of research within mathematics education and extends and refines alternate perspectives on the transfer of learning. The book provides an overview of current knowledge in the field as well as informs future transfer research.

Taking a community of practice perspective that highlights the learner as part of a community, rather than a lone individual responsible for her/his learning, this ethnographically-influenced study investigates how Latina/o English Language Learners (ELLs) in middle school mathematics classes negotiated their learning of mathematics and mathematical discourse. The classes in which the Latina/o students were enrolled used a reform-oriented approach to math learning; the math in these classes was - to varying degrees - taught using a hands-on, discovery approach to learning where group learning was valued, and discussions in and about math were critical. This book presents the stories of how six immigrant and American-born ELLs worked with their three teachers of varied ethnicity, education, experience with second language learners, and training in reform-oriented mathematics curricula to gain a degree of competence in the mathematical discourse they used in class. Identity, participation, situated learning, discourse use by learners of English as a Second Language (ESL), framing in language, and student success in mathematics are all critical notions that are highlighted within this school-based research.

This volume represents a detailed analysis of the grade placement of mathematics learning goals across all state-level curriculum standards published as of May 2005. The volume documents the varied grade-level mathematics curriculum expectations in the U.S. and highlights a general lack of consensus across states. As states continue to work to improve learning opportunities for all students this report can serve as a useful summary to inform future curriculum decisions. The report is also intended to stimulate discussion at the national level regarding roles and responsibilities of national agencies and professional organizations with regard to curriculum leadership. Serious and collaborative work that results from such discussions can contribute to a more coherent, focused mathematics curriculum for US students

Language can be simultaneously both a support and a hindrance to students' learning of mathematics. When students have sufficient fluency in the mathematics register so that they can discuss their ideas, they become chiefs who are able to think mathematically. However, learning the mathematics register of an Indigenous language is not a simple exercise and involves many challenges not only for students, but also for their teachers and the wider community. Collaborating to Meet Language Challenges in Indigenous Mathematics Classrooms identifies some of the challenges-political, mathematical, community based, and pedagogical- to the mathematics register, faced by an Indigenous school, in this case a Maori immersion school. It also details the solutions created by the collaboration of teachers, researchers and community members.

Success Ahead is an exciting new series of Study Guides designed to help you excel in your Grade 12 exams! The series is aligned to the Grade 12 syllabus and helps you to practise and develop core skills. It also helps you to revise and prepare thoroughly for your exams. The Success Ahead Study Guides are user-friendly and can be used in the classroom or for independent practice at home. They can also be used as a quick reference for challenging content. Practise Revise Pass Excel Succeed!

This book focuses on issues related to mathematics teaching and learning resources, including mathematics textbooks, teacher guides, student learning and assessment materials, and online resources. The book highlights various theoretical and methodological approaches used to study teaching and learning resources, and addresses the areas of resources, teachers, and students at an international level. As for the resources, the book examines the role textbooks and other curricular or learning resources play in mathematics teaching, learning, and assessment. It asks questions such as: Could we consider different types of textbooks and roles they play in teaching and learning? How does the digitalization of information and communication affect these roles? What are defining features of e-textbooks, and how could we characterize the differences between the traditional textbooks and e-textbooks? As for the teachers, the book discusses the relationships between teachers' individual and collective resources, and the way in which we could model such relationships. Specific questions addressed are: What is the role of teachers in developing textbooks and other teaching and learning materials? What are the relationships between resource designers and users? What are the consequences of these changing roles and relationships for the teaching of mathematics, and for teacher knowledge and professional development? As for the students, the book explores how students, as well as their teachers, interact through resources. It raises and addresses questions such as: What are the effects of modern ICT (particularly internet) on students' use and the design of resources? How do changing patterns of use and design affect student behaviour, learning, and relationships to the subject of mathematics?

Created specifically for the demands of the one year course, this book will help you by focusing on successful exam techniques and exam practice with exam-style questions in every chapter. Uses senior examiner feedback to help you tackle problematic topics and questions with confidence, avoiding common pitfalls and misconceptions in your exams.

Children love learning with Smart-kids. Bright illustrations, stickers, creative activities and fun-loving characters bring the South African Maths curriculum to life. This Smart-kids workbook is specially written for Grade R learners by experienced South African teachers and contains valuable notes, tips and answers for parents.

This Tutor Delivery Pack for GCSE (9-1) Edexcel Mathematics Foundation is curriculum matched and contains everything needed for a whole academic year of private tutoring: 38 complete lessons, complete with plans, activities and homework Detailed explanation on the use of the pack Information for parents Specification guidance Needs analysis for the parents and the students Mapping guide to the Revise GCSE Series Progress and End-of-Lesson Report templates Differentiation and extension ideas Customisable certificates in the digital version of the pack

This edited book promotes thinking, dialogue, research and theorisation on multiple ways of making connections in mathematics teaching and learning in early childhood education. The book addresses some key challenges in research, policy and practice in early childhood mathematics education. It examines diverse ways for learning experiences to connect young children to mathematics, and the importance of forging connections between mathematics and young children's lives as key elements in their engagement with mathematics. Each chapter provides research or theoretical provocations and pedagogical implications for connecting children's lived experiences and ways of learning in mathematics teaching. The chapters are drawn from a range of international authors who raise important ideas within the overall context of current research and consider the theoretical and practical implications of their research. As such, the book advances current thinking on mathematics teaching and learning for children in the early years from birth to eight years with an emphasis on children aged birth to 5 years. It considers the purpose and value in connecting mathematics teaching and learning to children's lives, and provides provocations for both educators and researchers on the many under-researched and under-represented aspects of early years mathematics teaching and learning.

This new edition of the Bond 11+ Non-verbal Reasoning Assessment Papers for 8-9 years now includes full explanations in the pull-out answer section in the centre of the book. Used with the Non-verbal Reasoning 11+ Handbook and other supporting Bond titles, the Assessment Papers offer everything your child needs to prepare and practise for the 11+ at home. The papers cover all the core 11+ question types that your child will experience in their actual exam. Working through this book helps to target the areas children need more support with and builds their skills and confidence. There are also practical tips and planning for next steps to improve exam skills. Providing thorough and continuous practice of key Non-verbal Reasoning skills, these age-ranged, essential study guides really help children succeed. Bond is the number 1 provider of 11+ practice, helping millions of children pass selective entrance exams.

With small steps and our carefully crafted questions, every pupil will achieve greater progress. Designed to be used flexibly, this second edition textbook has been updated to include more Mastery-style questions and whole-class activities. Whether you follow a full Mastery scheme, choose to use Mastery aspects or you're just looking for quality resources, our three textbooks support the way you want to teach. Each book gradually builds on prior knowledge, developing pupils' confidence, fluency, reasoning and problem-solving skills. * Secure understanding with differentiated questions and worked examples that follow the 'do it, secure it, deepen it' Mastery structure, building on prior knowledge from Book 2 * Target key skills using the fluency, reasoning and problem-solving markers in the margin * Build confidence with starter activities and warm-up questions to introduce each concept * Develop reasoning skills using non-examples, where pupils identify mistakes in sample answers * Track progress through review questions, building key skills and knowledge so students will be prepared for the next step up to GCSE * Benefit from the expertise of UK Mastery trained subject specialists with over 30 years of teaching experience * Cover the full UK National Curriculum and all four strands - number, algebra, geometry and measures, statistics and probability - within our three restructured textbooks for Key Stage 3 Our flexible, Mastery-led approach Our flexible approach allows you to teach maths your way. You can choose to focus on building understanding using the graduated questions or take a Mastery approach to exposition using manipulatives and 'concrete, pictorial, abstract' in the optional class activities. Answers will be provided online.

Comprehensive coverage of the specification with a real focus on both process skills and practice. Suitable for use at either Key Stage 3 or 4, so teachers can teach the way they want to. Maths topic-based chapters build confidence with Functional questions and link to the GCSE. Packed with sources and graphics to bring maths into the real world.

This book is about how teachers can use classroom mathematics tasks to support student learning, and presents data on the ways in which teachers used those tasks in a particular research project. It is the product of research findings focusing on teacher practice, teacher learning and knowledge, and student learning. It demonstrates how teachers can use mathematics tasks to promote effective student learning.

Teaching and learning mathematics is a political act in which children, teachers, parents, and policy makers are made visible as subjects. As they learn about mathematics, children are also learning about themselves - who they are, who they might become. We can choose to listen or not to what children have to say about learning mathematics. Such choices constitute us in relations of power. Mathematical know-how is widely regarded as essential not only to the life chances of individuals, but also to the health of communities and the economic well-being of nations. With the globalisation of education in an increasingly market-oriented world, mathematics has received intensified attention in the first decade of the twenty-first century with a shifting emphasis on utilitarian aspects of mathematics. This is reflected in the reconceptualisation of mathematical competence as mathematical literacy, loosely conceived as those ways of thinking, reasoning and working "mathematically" that allow us to engage effectively in everyday situations, in many occupations, and the cut and thrust of world economies as active, empowered and participatory citizens. It is no surprise then that mathematics has become one of the most politically charged subjects in primary school curricula worldwide. We are experiencing an unprecedented proliferation of regional and national strategies to establish benchmarks, raise standards, enhance achievement, close gaps, and leave no child behind in mathematics education. Industries have sprung up around the design, administration and monitoring of standardised assessment to measure and compare children's mathematical achievement against identified benchmarks and each other.

This book highlights new developments in the teaching and learning of algebraic thinking with 5- to 12-year-olds. Based on empirical findings gathered in several countries on five continents, it provides a wealth of best practices for teaching early algebra. Building on the work of the ICME-13 (International Congress on Mathematical Education) Topic Study Group 10 on Early Algebra, well-known authors such as Luis Radford, John Mason, Maria Blanton, Deborah Schifter, and Max Stephens, as well as younger scholars from Asia, Europe, South Africa, the Americas, Australia and New Zealand, present novel theoretical perspectives and their latest findings. The book is divided into three parts that focus on (i) epistemological/mathematical aspects of algebraic thinking, (ii) learning, and (iii) teaching and teacher development. Some of the main threads running through the book are the various ways in which structures can express themselves in children's developing algebraic thinking, the roles of generalization and natural language, and the emergence of symbolism. Presenting vital new data from international contexts, the book provides additional support for the position that essential ways of thinking algebraically need to be intentionally fostered in instruction from the earliest grades.

Part I: Introduction. Challenging Perspectives on Mathematics Classroom Communication: From Representations to Contexts, Interactions and Politics. Part II: Contributed Chapters. Theme I: Communication: register, representations, context(s).

The 2015 TIMSS Grade 9 study was administered in August 2015 by a team of researchers at the Human Sciences Research Council (HSRC) in collaboration with the Department of Basic Education (DBE) and the International Association for the Evaluation of Educational Achievement (IEA). This was the fifth time that South Africa has participated in TIMSS since 1995. In addition to the learner assessment data, the study also collected contextual information from learners, teachers and school principals, making it possible to explore the factors that are related to Grade 9 mathematics and science achievement. This report was written to provide some perspective about how the results of international assessments can be used to provide meaningful national insights. Sections of the report bring together the main findings based on descriptive, inferential and psychometric analysis of the data. The report concludes with recommendations of how the results relate to policy and practice for improving educational quality.

Exam Board: AQA Level: GCSE Subject: Maths First teaching: September 2015 First exams: June 2017 Revise smart and save! Designed for classroom and independent study, this Revision Guide includes a FREE online edition and complements the AQA GCSE Mathematics Student Book with a range of features: One-topic-per-page format helps you revise more quickly, without the hassle Exam-style worked examples match the new specification and demonstrate good exam technique 'Now try this' exam-style practice questions let you test your understanding of a topic Key formulae tell you exactly which formulae you need to learn for the exams Target indicator shows you exactly what level you're working at Problem solving support throughout including tricky questions on easy topics and strategies and techniques for answering harder questions Video worked solutions show you exactly how to answer tricky questions Complete coverage of the new specification including brand-new topics like functions and Venn diagrams Visual explanations of key concepts help you revise quickly and recall key skills in your exams With one-to-one page correspondence between this Guide and the companion Workbook, the hugely popular REVISE series offers the best value available for GCSE students.