Heinemann Active Maths' bright and lively Pupil Books have been designed to further consolidate children's learning through independent practice. They are closely linked to the Teacher Activity Cards and each Heinemann Active Maths outcome. Each Pupil Book contains: 'I can...' statements to encourage self-assessment. 'Rocket' questions to extend and challenge children's learning. Teacher Activity Card references so you know which card the Pupil Book pages link to. * This component forms part of the Second Level Beyond Number Starter Pack, but can be purchased individually.

This fascinating title reviews the teaching and learning of school geometry from the perspective of both the new teacher and the more experienced teacher. It is designed to extend and deepen subject knowledge and to offer practical advice and ideas for the classroom in the context of current practice and research. Particular emphasis is given to the following elements:
- Understanding the key ideas of the geometry curriculum
- learning geometry effectively: lessons from research and current practice
- misconceptions and errors
- the role of technology in learning geometry.

A volume in Research in Mathematics Education Series Editor Barbara J. Dougherty, University of Mississippi This volume contains the proceedings of the First International Curriculum Conference sponsored by the Center for the Study of Mathematics Curriculum (CSMC). The CSMC is one of the National Science Foundation Centers for Learning and Teaching (Award No. ESI-0333879). The countries-China, Japan, Korea, and Singapore (in alphabetical order, which also happens to be the order of their populations)-have each been in the news because of their performance on international tests and/or their economic performance and potential. They also have centralized education ministries that create a single mathematics curriculum framework followed in the entire country.

This volume documents a range of qualitative research approaches emerged within mathematics education over the last three decades, whilst at the same time revealing their underlying methodologies. Continuing the discussion as begun in the two 2003 ZDM issues dedicated to qualitative empirical methods, this book presents a state of the art overview on qualitative research in mathematics education and beyond. The unique two-part structure of the chapters allows the reader to use the book as an actual guide for the selection of an appropriate methodology, on a basis of both theoretical depth and practical implications. The methods and examples illustrate how different methodologies come to life when applied to a specific question in a specific context. Many of the methodologies described are also applicable outside mathematics education, but the examples provided are chosen so as to situate the approach in a mathematical context.

The only official Minecraft maths book for children aged 6-7! Children embark on a Minecraft adventure in each maths topic, using their maths skills and knowledge to complete the tasks and earn rewards. This is a write-in maths practice workbook which uses the Minecraft game as a mechanism for practising the key maths skills covered in Year 2. Accomplish maths activities to help Minecraft characters on their missions Explore different biomes in each topic Earn emeralds as you work through the book, and choose how you spend them Go hardcore with challenging questions

This book brings together various studies that assume phenomenology to analyze how mathematics education is affected by the experience of being in the cyberspace. The authors of the chapters included in this contributed volume work with the theoretical framework developed by authors such as Edmund Husserl, Martin Heidegger and Maurice Merleau-Ponty to investigate how mathematics is produced and comprehended in a new way of being in the world, with digital technologies. The aim of this book is not to explain the tools used and how one works with them in the cyberspace, aiming at better teaching and learning mathematics. Its purpose is to present philosophical investigations that contribute to the understanding of the complexity of the world in which we are being researchers and mathematics teachers. By doing so, Constitution and Production of Mathematics in the Cyberspace - A Phenomenological Approach will help researchers and mathematics teachers understand their role in a world in which the experience of teaching and learning mathematics is being radically changed by new technologies and new ways of being in this world.

Die rol van 'n onderwyser is fundamenteel tot die verwerwing van die nodige wiskundige vaardighede en kennis wat deel uitmaak van die kind se vroee en verdere ontwikkeling. Vanaf die jaar voor toetrede tot formele skoolopleiding (Graad R) tot die einde van die Grondslagfase (Graad 3), dra onderwysers by tot die belangrikste leersiklus en le hulle leerders se grondslag vir die res van hul skoolloopbaan. Wiskunde-onderrig in die Grondslagfase bied kritieke insig tot die basiese beginsels wat internasionaal sowel as nasionaal toegepas word, met 'n indiepte-bespreking van die onderliggende konsepte en teoriee aangaande wiskunde-onderrig aan jong leerders. Die konsepte afrikanisering van die kurrikulum en etnowiskunde word ook bespreek. Die temas wat in die boek aangespreek word, is gebaseer op die KABV-dokumente wat deur die Departement van Basiese Onderwys in 2012 uitgereik is en omsluit die fisiese, sosiale en konseptuele kennis wat leerders moet verwerf en op voortbou om sodoende hul wiskundige vaardighede vir die toekoms te ontwikkel. Wiskunde-onderrig in die Grondslagfase is 'n onontbeerlike handleiding vir beginneronderwysers en studente vir die inrig van hul klaskamers, die beplanning van lesse vir die suksesvolle verkryging van wiskunde kennis en vaardighede, asook om wiskunde met selfvertroue te onderrig. Hierdie boek sal ook aan ouers toon wat van hulle kinders in die wiskunde klas verwag word.

Designed to cover the Pure Maths (Matrices and Calculus) elements of the current CCEA GCSE Further Mathematics specification, this is one of a set of four revision booklets. * Valuable revision questions with answers. * The questions are arranged into five distinct 'tests'. * NOT from past papers; commissioned specifically for this booklet. * Similar in style to our existing M1 to M8 revision booklets for GCSE Mathematics. * This Pure Maths 1 booklet together with Pure Maths 2 address the content of Pure Mathematics. There are separate booklets for Mechanics and Statistics.

Heinemann Active Maths' bright and lively Pupil Books have been designed to further consolidate children's learning through independent practice. They are closely linked to the Teacher Activity Cards and each Heinemann Active Maths outcome. Each Pupil Book contains: 'I can...' statements to encourage self-assessment. 'Rocket' questions to extend and challenge children's learning. Teacher Activity Card references so you know which card the Pupil Book pages link to.

Teaching Mathematics in the Primary School sets out the nature of the subject, how it is catered for in the early years and primary curricula and offers guidance and suggestions on good practice using a series of generic categories such a planning, classroom organisation, teaching and learning strategies, Special Educational Needs and equal opportunities. Whether you are beginning a teacher-training course or embarking on a career in teaching, this introductory textbook provides comprehensive information on how to meet the standards for effective teaching in early years and primary settings. Teaching Mathematics in the Primary School provides the reader with an understanding of how mathematics works as a subject and why it is included in the National Curriculum. It shows how a comprehensive range of strategies can be employed to teach mathematics and how to plan and resource high-quality teaching and learning. The chapters cover key issues such as: how to monitor, assess and report on children's learning; how to provide equal opportunities; how to meet special educational needs; how to co-ordinate the subject; and, above all, how to teach mathematics effectively. well as checklists and helpful advice. There are also suggestions for further reading to assist trainee and newly qualified teachers in meeting the Standards for Initial Teacher Training and Induction.

This book addresses the point of intersection between cognition, metacognition, and culture in learning and teaching Science, Technology, Engineering, and Mathematics (STEM). We explore theoretical background and cutting-edge research about how various forms of cognitive and metacognitive instruction may enhance learning and thinking in STEM classrooms from K-12 to university and in different cultures and countries. Over the past several years, STEM education research has witnessed rapid growth, attracting considerable interest among scholars and educators. The book provides an updated collection of studies about cognition, metacognition and culture in the four STEM domains. The field of research, cognition and metacognition in STEM education still suffers from ambiguity in meanings of key concepts that various researchers use. This book is organized according to a unique manner: Each chapter features one of the four STEM domains and one of the three themes-cognition, metacognition, and culture-and defines key concepts. This matrix-type organization opens a new path to knowledge in STEM education and facilitates its understanding. The discussion at the end of the book integrates these definitions for analyzing and mapping the STEM education research. Chapter 4 is available open access under a Creative Commons Attribution 4.0 International License via link.springer.com

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.

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 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.

One of five textbooks for use in school and at home. Each left-hand page shows methods with worked examples. The corresponding right-hand page gives questions for the student to try. Topics covered include: algebra addition, subtraction, multiplication and division; brackets and factorization; fractions involving letters; perimeter, area and volume using letters; substitution; simple equations and inequalities; and formulae.

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).

The only official Minecraft maths book for children aged 5-6! Children embark on a Minecraft adventure in each maths topic, using their maths skills and knowledge to complete the tasks and earn rewards. This is a write-in maths practice workbook which uses the Minecraft game as a mechanism for practising the key maths skills covered in Year 1. Accomplish maths activities to help Minecraft characters on their missions Explore different biomes in each topic Earn emeralds as you work through the book, and choose how you spend them Go hardcore with challenging questions

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