Scottish Heinemann Maths reflects the content of the HMI report Improving Mathematics Education 5-14. It offers a structured development of mental calculation strategies, using clear progression and continuity of topics, and increases the pace of progression.

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

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.

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

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: decimal columns; addition, subtraction, multiplication and division of decimals, including money; vulgar fractions; addition, subtraction, multiplication and division of vulgar fractions; conversion between decimals and vulgar fractions; and percentage.

A brand-new kind of maths practice book developed with UK teachers and based on cutting-edge approaches to help students make the most of practice. Our unique Purposeful Practice Books use minimal variation to bolster students' Key Stage 3 studies in and out of the classroom. Each book encourages progression for all with over 3,750 concise and varied questions that: build in small steps to consolidate knowledge and boost confidence deepen understanding by helping students connect, reason and reflect on what they're learning focus on strengthening skills and strategies, such as problem-solving help every student put their learning into practice in different ways give students a strong preparation for progressing to GCSE study. They can be used flexibly alongside current resources: in class, for homework, or independent study. Supports the new Maths Progress (Second Edition) that builds students' confidence at KS3 and gives the best preparation for progressing to GCSE.

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.

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?

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!

A new title in the hugely successful Clever Kids series, this book is filled with sudoku puzzles to put your brain to the test. There are plenty of puzzles to test your mental-arithmetic and problem-solving skills. The book also features a simple sudoku tutorial at the start, featuring invaluable tips and tricks. Created by bestselling puzzle book author Gareth Moore, author of the chart-topping success Brain Games for Clever Kids.

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.

This book is a brilliant source of test-style practice questions for Year 5 Maths pupils - all perfectly matched to the latest curriculum! There are questions for each topic, with space on each page for pupils to write their answers and any working out, plus mark schemes so that you can keep track of their progress. There are also Warm-Up Questions to get pupils started, and Greater Depth Questions to help them really master a topic. And there's more! We've included Objectives Tests at the start and end of the book, and Progress Tests to keep track of how pupils are getting on. You'll find answers to everything at the back. We also have a matching Year 5 Maths Targeted Study Book (9781847621924) - it's packed with clear study notes and examples to explain every topic!

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.

Exam Board: OCR Level: Free Standing Mathematics Qualification Subject: Additional Mathematics First Teaching: September 2018 First Exam: Summer 2019 Enhance the skills learnt at GCSE and build the confidence to tackle higher-level Mathematics using this comprehensive textbook, tailored to the new OCR Additional Mathematics specification (2018). * Consolidate GCSE Maths skills and prepare for A-level using hundreds of questions designed to bridge the gap between Key Stages 4 and 5. * Expand on GCSE knowledge and confidently tackle new concepts with clear introductions to every topic and plenty of worked examples throughout. * Boost performance in Additional Maths and A-level Maths with expert guidance from subject specialists with extensive examining experience. * Save time planning lessons using our free schemes of work that link to the relevant Integral resources. * Approach your final assessment with confidence, by completing two full practice papers at the end of the book.

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 6 contains practice questions, with room for working, on all the topics a student needs to cover in Steiner-Waldorf Class 6 (age 12-13). The book includes: Review topics from previous years: multiplication, short and long division, fractions, decimals, measurement, unit cost, factors, and estimating. New topics for Class 6: casting out nines, exponents (powers), square roots, divisibility, formulas, the imperial and metric systems, converting decimals to fractions, and fractions to decimals, angle measure, percents, mean/median/mode, pie charts, line graphs, area and perimeter, business maths (discount, profit, etc.,), ratios, rates (speed, wages), exchange rates and complex fractions. Mental maths: it is as important as ever for children to develop the ability to do calculations in their head. Each worksheet therefore begins with a secion on mental maths, focusing on one of our areas described in the Teacher's Source Book (available separately): multiplication, with selected facts from the 13 to 18 times tables and 25 times table; powers with base 2 to 5; fraction to decimal conversions; and maths tricks. Note that this workbook is also available in a pack of ten with a teacher's answer booklet.