The issue of mathematics teaching and its impact on learners' attainments in this subject has continuously been on the public agenda. The anthology of chapters in this book consists of varied up-to-date studies of some of the best mathematics education researchers and mathematics teaching experts, exploring the varied aspects of this essential. The book depicts the elementary school mathematics teachers' world while relating to three aspects which comprise the professional environment of mathematics teachers: Teachers' education and teachers' knowledge, Teaching and Teachers' personality. The chapters are written on a level which addresses and might interest a wide readership: researchers, in-service teachers, pre-service teachers, parents and learners.

This CGP Study Guide explains everything students need to know for Key Stage Three Maths. It's ideal for students working at a higher level. Every topic is explained with clear, friendly notes and worked examples, and there's a range of practice questions to test the crucial skills.

Learn how to help K-8 students who struggle in math. Now in its second edition, this book provides a variety of clear, practical strategies that can be implemented right away to boost student achievement. Discover how to design lessons that work with struggling learners, implement math intervention recommendations from the Institute of Education Sciences Practice Guides, the National Center on Intensive Intervention, and CEC, use praise and self-motivation more effectively, develop number sense and computational fluency, teach whole numbers and fractions, increase students' problem-solving abilities, and more! This edition features an all-new overview of effective instructional practices to support academic engagement and success, ideas for intensifying instruction within tiered interventions, and a detailed set of recommendations aligned to both CCSSM and CEC/CEEDAR's High-Leverage Practices to help support students struggling to meet grade-level expectations. Extensive, current examples are provided for each strategy, as well as lesson plans, games, and resources.

In Democracy and Mathematics Education, Kurt Stemhagen and Catherine Henney develop a way of thinking about the nature and purposes of math that is inclusive, participatory, and thoroughly human. They use these ideas to create a school mathematics experience that can enhance students' math abilities and democratic potential. They locate mathematics' origins in human activity and highlight the rich but often overlooked links between mathematical activity and democratic, social practices. Democratic mathematics education foregrounds student inquiry and brings to light the moral dimensions of a discipline that has both remarkable utility and inevitable limitations. For math educators, the book's humanities approach helps to see the subject anew. For philosophers, it provides an important real world context for wrestling with perennial and timely questions, engaging democratic and evolutionary theory to transform school math. This alternative approach to mathematics and mathematics education provides a guide for how to use math to make democracy a larger part of school and wider social life. 2021 Winner of the AESA Critics' Choice Book Award.

In Democracy and Mathematics Education, Kurt Stemhagen and Catherine Henney develop a way of thinking about the nature and purposes of math that is inclusive, participatory, and thoroughly human. They use these ideas to create a school mathematics experience that can enhance students' math abilities and democratic potential. They locate mathematics' origins in human activity and highlight the rich but often overlooked links between mathematical activity and democratic, social practices. Democratic mathematics education foregrounds student inquiry and brings to light the moral dimensions of a discipline that has both remarkable utility and inevitable limitations. For math educators, the book's humanities approach helps to see the subject anew. For philosophers, it provides an important real world context for wrestling with perennial and timely questions, engaging democratic and evolutionary theory to transform school math. This alternative approach to mathematics and mathematics education provides a guide for how to use math to make democracy a larger part of school and wider social life. 2021 Winner of the AESA Critics' Choice Book Award.

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.

A fun, colourful Activity Book packed with charming characters and engaging activities. It's ideal for introducing your child to telling the time, and learning about the days, weeks and months of the year! We've explained everything in easy-to-understand language with loads of colourful diagrams - your child will be time-wiz before you know it! Each topic is covered by a range of activities - all designed to help that time-telling knowledge really stick. We've also thrown in a selection of exciting puzzles so your child can apply their Maths skills in a different context. Answers can be found at the back of the book.

Our collected work contains mathematics education research papers. Comparative studies of school textbooks cover content selection, compilation style, representation method, design of examples and exercises, mathematics investigation, the use of information technology, and composite difficulty level, to name a few. Other papers included are about representation of basic mathematical thought in school textbooks, a study on the compilation features of elementary school textbooks, and a survey of the effect of using new elementary school textbooks.

Mental Arithmetic provides rich and varied practice to develop pupils' essential maths skills and prepare them for all aspects of the Key Stage 2 national tests. It may also be used as preparation for the 11+, and with older students for consolidation and recovery. Tailored to meet the requirements of the National Curriculum for primary mathematics, each book contains 36 one-page tests. Each test is presented in a unique three-part format comprising: questions where use of language is kept to a minimum; questions using number vocabulary; questions focusing on one- and two-step word problems. Structured according to ability rather than age, the series allows children to work at their own pace, building confidence and fluency. Two Entry Tests are available in the Mental Arithmetic Teacher's Guide and on the Schofield & Sims website, enabling teachers, parents and tutors to select the appropriate book for each child. All the books can be used flexibly for individual, paired, group or whole-class maths practice, as well as for homework and one-to-one intervention.Mental Arithmetic 5 is aimed at pupils in upper Key Stage 2 and covers the key subject areas of number, measurement, geometry, statistics, ratio and proportion, and algebra. Topics include negative numbers, composite numbers, BODMAS, simple formulae, converting units of measurement, finding unknown angles, unequal sharing and solving problems using line graphs. Three Progress Charts, together with four topic-based Check-up Tests, are provided to monitor learning and identify any gaps in understanding. A separate accompanying answer book, Mental Arithmetic 5 Answers (ISBN 9780721708096), contains correct answers to all the questions, making marking quick and easy.

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 First Level Beyond Number Starter Pack, but can be purchased individually.

This engaging book offers an in-depth introduction to teaching mathematics through problem-solving, providing lessons and techniques that can be used in classrooms for both primary and lower secondary grades. Based on the innovative and successful Japanese approaches of Teaching Through Problem-solving (TTP) and Collaborative Lesson Research (CLR), renowned mathematics education scholar Akihiko Takahashi demonstrates how these teaching methods can be successfully adapted in schools outside of Japan. TTP encourages students to try and solve a problem independently, rather than relying on the format of lectures and walkthroughs provided in classrooms across the world. Teaching Mathematics Through Problem-Solving gives educators the tools to restructure their lesson and curriculum design to make creative and adaptive problem-solving the main way students learn new procedures. Takahashi showcases TTP lessons for elementary and secondary classrooms, showing how teachers can create their own TTP lessons and units using techniques adapted from Japanese educators through CLR. Examples are discussed in relation to the Common Core State Standards, though the methods and lessons offered can be used in any country. Teaching Mathematics Through Problem-Solving offers an innovative new approach to teaching mathematics written by a leading expert in Japanese mathematics education, suitable for pre-service and in-service primary and secondary math educators.

This brilliant book of 10-Minute Tests is perfect for helping pupils prepare for the tricky word-based Maths problems in the CEM 11+ test! It contains over 30 quick tests, each focused on written questions - pupils will need to read the text carefully, then extract the relevant mathematical information to solve the problem. To break up the all the serious 11+ preparation, we've also included fun puzzle pages throughout the book. What's more, complete step-by-step answers to every question are included in a pull-out section, so you'll never be left in the dark about how to solve a problem. This book also comes with a free Online Edition - just use the unique access code printed inside the cover to access it on a PC, Mac or tablet!

How to be Brilliant at Numbers provides 42 photocopiable sheets of activities for use with 7-11 year olds. Full of new and different ideas, this book will provide hours of fun learning for your pupils. The activity sheets are designed for immediate use in the classroom and will support and supplement whatever core mathematics programme you use. Brilliant Publications publishes a range of books for 0-15 year olds. Details of our titles can be found on our website www.brilliantpublications.co.uk

Algebra is the language that must be mastered for any course that uses math because it is the gateway for entry into any science, technology, engineering, and mathematics (STEM) discipline. This book fosters mastery of critical math and algebraic concepts and skills essential to all of the STEM disciplines and some of the social sciences. This book is written by practitioners whose primary teaching subject is not math but who use math extensively in their courses in STEM disciplines, social science statistics, and their own research. Moreover, in the writing of this book, the authors have used the teaching principles of anchoring, overlearning, pruning the course to its essentials, and using simple and familiar language in word problems.

Since the elementary school years, the power of the play has been used in cognitive, social, motor, and affective ways to overcome students' anxiety of mathematics. This book examines the effect of play-based learning method on the achievements of 1st-grade students within the scope of 8 different math plays prepared for objectives in the primary mathematics curriculum. Supported by students' views on different math plays, including theoretical reflections on play-based learning and thoughts about methodological, empirical, and experimental approaches as well as analyses of various play studies, the research examines the role of child-centered teaching methods in primary school math curriculum from planning to play evaluation processes. Practical examples of different types of plays in teaching primary mathematics are presented to researchers and classroom teachers.

How to be Brilliant at Algebra provides 42 photocopiable sheets of activities linked to the National Curriculum. The ideas are new, different and fun. The activity sheets are designed for immediate use in the classroom and will support and supplement whatever core mathematics programme you use. Brilliant Publications publishes a range of books for 0-15 year olds. Details of our titles can be found on our website www.brilliantpublications.co.uk

How to be Brilliant at Using a Calculator provides 42 photocopiable sheets of activities for teaching calculator skills. The ideas are new, different and fun. The activity sheets are designed for immediate use in the classroom and will support and supplement whatever core mathematics programme you use. Brilliant Publications publishes a range of books for 0-15 year olds. Details of our titles can be found on our website www.brilliantpublications.co.uk

This book presents a literature review of and a state-of-the-art glimpse into current research on affect-related aspects of teaching and learning in and beyond mathematics classrooms. Then, research presented at the MAVI 25 Conference, which took place in Intra (Italy) in June 2019, is grouped in thematic strands that capture cutting-edge issues related to affective components of learning and teaching mathematics. The concluding chapter summarises the main messages and sketches future directions for research on affect in mathematics education. The book is intended for researchers in mathematics education and especially graduate students and PhD candidates who are interested in emotions, attitudes, motivations, beliefs, needs and values in mathematics education.

Our collected work contains mathematics education research papers. Comparative studies of school textbooks cover content selection, compilation style, representation method, design of examples and exercises, mathematics investigation, the use of information technology, and composite difficulty level, to name a few. Other papers included are about representation of basic mathematical thought in school textbooks, a study on the compilation features of elementary school textbooks, and a survey of the effect of using new elementary school textbooks.

Train Your Brain for Grade 6 provides extra practice to help your child understand the key Mathematics skills.

Dig into problem solving and reflect on current teaching practices with this exceptional resource. Meaningful instructional tools and methods are provided to help teachers understand each problem solving strategy and how to use it with their students. Teachers are given opportunities to practice problems themselves and reflect on how they can better integrate problem solving into their instruction. This resource supports College and Career Readiness Standards.

In the book, the relationship between affect and modeling is discussed because, as educational psychologists have suggested for decades, affect directly influences achievement. Moreover, given the importance of mathematical modeling and the applications to high level mathematics, it provides the field of mathematics psychology with insight regarding affect, in relation to mathematical modeling. By doing so it helps determine the degree to which understanding of mathematics and understanding affect in mathematical modeling episodes may have a direct effect on cognition.

Heinemann Active Maths: Engages pupils with a bank of stimulating, varied and exciting interactive and print-based activities. Follows an active approach to maths teaching and learning with an emphasis on real-life situations. Helps children develop a concrete understanding of maths concepts through investigation and discussion.