Daily practice is the best way to improve children's Mental Maths skills - that's why we've written this fantastic Daily Practice workbook for the Year 6 Summer Term! Packed with colourful characters and engaging activities, there's a page of Mental Maths practice for every school day of the term. It's all matched to the National Curriculum and perfect for use in class or at home! For each day, there's a short explanation of what to do, followed by a selection of Mental Maths questions. New topics are introduced gradually, then revisited throughout the book - the questions increase in difficulty through each week, and also through the term. Score boxes at the end of each page make it easy to track children's progress and there are answers to every question at the back. For complete coverage of Year 6, check out our books for the Autumn (9781789087734) and Spring (9781789087765) terms too!

* Conceptual understanding is a major aim of mathematics education identified in the mathematics curriculum of many countries * Bridges the gap in the literature between the training and the applications of concept mapping * Utilizes a new technique derived from social network analysis to analyze concept maps

Giving students opportunities to read like mathematicians as they explore content has the potential to move their thinking and understandings in monumental ways. Each chapter presented in this volume provides readers with approaches and activities for pairing a young adult novel with specific mathematics concepts. Chapters include several instructional activities for before, during, and after reading as well as extension activities that move beyond the text as students continue to develop mathematical literacy.

This book reports on an innovative study into the first five years of mathematics teaching: FIRSTMATH. For the first time, the study has developed a viable methodology to analyze the knowledge, skills, and dispositions of beginning mathematics teachers as well as instruments to explore the contexts where they work. The book provides a step by step account of this exploratory (proof-of-concept) research study, using a comparative and international approach, and introduces readers to the challenges entailed. The FIRSTMATH study promises the development of methods and strategies to make it possible for teacher educators and future teachers to examine (and improve on) their own practices in an important STEM area.

Level: EYFS Subject: Maths Introduce young learners to numbers with this fun and engaging activity book. Lots of practice opportunities to help children learn the numbers 0-20. Wipe-clean pages and pen so that children can try the activities again and again. Colourful, motivating activities to help boost confidence.

This book offers an up-to-date overview of the research on philosophy of mathematics education, one of the most important and relevant areas of theory. The contributions analyse, question, challenge, and critique the claims of mathematics education practice, policy, theory and research, offering ways forward for new and better solutions. The book poses basic questions, including: What are our aims of teaching and learning mathematics? What is mathematics anyway? How is mathematics related to society in the 21st century? How do students learn mathematics? What have we learnt about mathematics teaching? Applied philosophy can help to answer these and other fundamental questions, and only through an in-depth analysis can the practice of the teaching and learning of mathematics be improved. The book addresses important themes, such as critical mathematics education, the traditional role of mathematics in schools during the current unprecedented political, social, and environmental crises, and the way in which the teaching and learning of mathematics can better serve social justice and make the world a better place for the future.

Each test should take about 15 minutes, however it is more important that a child completes the test accurately and does not rush their answers. Children will speed up naturally with practice. These tests extend children's learning beyond their expected age-related National Curriculum standard. The testbook provides practice for SATs, GL Assessment and CEM 11+ exams, CATs, the Northern Ireland Transfer Test, Common Entrance and scholarship examinations for independent schools, and all other styles of mathematical test. The testbooks are designed to be used in conjunction with the KS2 Maths workbooks as an additional learning tool. After completion, the maths testpack should be used for final exam preparation. Answers, Progress Charts and a Certificate of Achievement are included at the end of the book. All our materials have been rigorously classroom tested. The methodologies have been successfully used in AE Tuition classes for over 20 years.

Engage students in mathematics using growth mindset techniques The most challenging parts of teaching mathematics are engaging students and helping them understand the connections between mathematics concepts. In this volume, you'll find a collection of low-floor, high-ceiling tasks that will help you do just that, by looking at the big ideas in second grade through visualization, play, and investigation. During their work with tens of thousands of teachers, authors Jo Boaler, Jen Munson, and Cathy Williams heard the same message that they want to incorporate more brain science into their math instruction, but they need guidance in the techniques that work best to get across the concepts they needed to teach. So, the authors designed Mindset Mathematics around the principle of active student inquiry, with tasks that reflect the latest brain science on learning. Open, creative, and visual math tasks have been shown to support student learning, and more importantly change their relationship with mathematics and start believing in their own potential. The tasks in Mindset Mathematics reflect the lessons from brain science that: There is no such thing as a math person and anyone can learn mathematics to high levels. Mistakes, struggle, and challenge are opportunities for brain growth. Speed is unimportant, and even counterproductive, in mathematics. Mathematics is a visual and beautiful subject, and our brains want to think visually about mathematics. With engaging questions, open-ended tasks, and four-color visuals that will help kids get excited about mathematics, Mindset Mathematics is organized around nine big ideas which emphasize the connections within the Common Core State Standards (CCSS) and can be used with any current curriculum.

Same But Different Math is a powerful routine to help students improve their mathematical reasoning, clarify concepts and make critical connections between ideas. Popular math consultant Sue Looney takes you step by step through implementation so you can easily add this routine into your toolbox. She establishes the rationale for the routine and then walks you through specific examples of when to use it, how to use it and how to make specific connections for learners. Throughout the book, you'll find examples of lessons with images from a range of grade levels and mathematical content to show you the routine in action. There are also exercises for you to complete while reading to help you apply what you've learned, as well as a handy planning section with a template and resource links. In addition, there are Appendices featuring additional examples, which you can download from our website www.routledge.com/9781032126555 for classroom use. With the helpful features in this book, you'll come away confidently able to implement this routine, bringing all your students to deeper levels of understanding in math.

This bundle includes Liljedahl's bestselling anchor book Building Thinking Classrooms in Mathematics, Grades K-12 and his new supplement title Modifying Your Thinking Classroom for Different Settings. Much of what happens in math classrooms today is guided by institutional norms laid down at the inception of an industrial-age model of public education. These norms have enabled a culture of teaching and learning that is often devoid of student thinking. Building Thinking Classrooms presents the results of over 15 years of research into which teaching practices are effective for getting students to think and which ones do not. This book takes you through a step-by-step approach that you can use to transform your classroom from a space where students mimic to a space where students think. But how do these practices work in a classroom with social distancing or in settings that are not always face-to-face? The follow-up supplement, Modifying Your Thinking Classroom for Different Settings, will answer those questions, and more. It walks teachers through how to adapt the 14 practices for 12 distinct settings, some of which came about as a result of the COVID-19 pandemic.

This book highlights innovative approaches to preparing secondary mathematics teachers. Based on empirical findings gathered in several countries on five continents, it provides a wealth of best practices for preparing secondary mathematics teachers, and discusses issues related to their professional and personal growth, such as identity, content knowledge, and pedagogical content knowledge which also includes knowledge of integrating technology into teaching and learning mathematics. Divided into four parts, the book focuses on field experiences, technologies, tools and resources, teacher knowledge, and teacher professional identities. Some of the main threads running through the book are: the importance of university and school partners working together to ensure preservice secondary mathematics teacher' success in developing pedagogical strategies that lead toward students' mathematical engagement and achievement; the critical need for preservice secondary mathematics teachers to develop strong content knowledge and pedagogical content knowledge; and the importance of providing opportunities, during pre-service education, for developing prospective teachers professional identities.

-Offers an innovative introduction to the psychology of mathematics and the nature of mathematical thinking and learning, using an approach that empowers students by fostering their own construction of mathematical structures. - In clear, engaging writing, award-winning mathematician and educator Norton Anderson explores the psychological basis for mathematics at every level, relevant for pre-service and in-service secondary and elementary math teachers, math teacher educators, and anyone interested in the nature of mathematics. -Reflections and exercises are included in each chapter, as well as footnotes for those interested in building off their understanding with related research.

-Offers a theory of secondary mathematics teacher learning in schools to achieve ambitious and equitable mathematics in their classroom, drawing on sociocultural learning theory. -Explores teacher learning as well as the role of context in teacher learning, using closely-documented case studies from across the US. -Offers researchers and scholars new theoretical and methodological tools for the elusive phenomenon of teacher learning, and instructional leaders and coaches practical examples of how teachers shift their thinking and practice.

-Offers a theory of secondary mathematics teacher learning in schools to achieve ambitious and equitable mathematics in their classroom, drawing on sociocultural learning theory. -Explores teacher learning as well as the role of context in teacher learning, using closely-documented case studies from across the US. -Offers researchers and scholars new theoretical and methodological tools for the elusive phenomenon of teacher learning, and instructional leaders and coaches practical examples of how teachers shift their thinking and practice.

STEM Teaching: An Interdisciplinary Approach breaks from the more historical idea of making knowledge within disciplines and seeks to engage the reader in a growing conversation that is gaining momentum and is focused on an 'interdisciplinarity of STEM education', which seeks to embrace and/or present emerging perspectives on the standards. Importantly, the conversation on STEM education and interdisciplinary approaches to teacher preparation may draw into specific relief the respective professional and/or disciplinary standards for each of the four STEM disciplines as each relates to fostering an interdisciplinary approach. The importance and relevance of this interdisciplinary perspective to teacher preparation lies in the realization that STEM literacy moves into everyday lives and thinking, and not just in STEM related disciplines. This means that faculty in teacher preparation need to extend the range of STEM literacy in pedagogical strategies so that STEM teaching is enriched with multimodal literacies into teaching and learning, which in turn makes STEM knowledge more relevant and engaging for its manifest connections to solving the problems that challenge society.

One of the greatest barriers to completing a graduate thesis or a doctoral dissertation is statistics. Oftentimes, the journey through graduate school is gratifying when the content courses in the chosen field of study are undertaken. Conversely, the statistics courses are met with trepidation. Many graduate students feel lost when it comes to dealing with data. Simplifying Statistics for Grad Students:Making the Use of Data Simple and User-Friendly is intended to help graduate students move through the barriers that seem formidable but are not. While this book is not a statistics text and does not purport to be such, it introduces graduate students to basic statistical concepts in an easy-to-comprehend manner. It is also a handbook that they can refer back to time and time again. Expertise with data is expected of graduate students. Simplifying Statistics for Grad Students is an antidote for the research and statistics blues.

This is a 3 in 1 publication that explores the deeper levels of the vital components of the CAPS curriculum. Learners tackling this in-depth study guide will be rewarded as, step by step, they get on top of previous uncertainties and pave their way to success. It contains: Comprehensive Notes and Worked Examples per topic, Exercises that are graded to promote logic and develop techniques in each topic and Detailed Solutions for all exercises, plus a fully explained comprehensive exam (paper 1 and paper 2) for thorough consolidation and final exam preparation. This hands-on study guide revises essential concepts from previous grades and develops the learner’s understanding by means of step-by-step notes and worked examples to introduce new work. The summaries and handy hints consolidate the material and help learners to grown in confidence and expertise. This book is guaranteed to develop a solid grounding for every learner preparing for and intending to excel in their Grade 11 and 12 Maths examinations, a sure way to open doors for their future!

Hierdie 3 in 1 publikasie ondersoek die dieper vlakke van al die noodsaaklike komponente van die KABV-kurrikulum. Leerders wat hierdie indiepte studiegids aanpak, sal toekenning verdien soos hulle stap-vir-stap vorige onsekerhede te bowe kom en ‘n suksesvolle pad vorentoe verseker. Dit bied: Omvattende Notas en Uitgewerkte Voorbeelde per onderwerp. Oefeninge wat gegradeer is om die logika en tegnieke wat vereis word, te bevorder. Gedetailleerde Oplossings vir alle oefeninge, plus ’n omvattende eksamen (vraestel 1 & vraestel 2) met volledige verduidelikings vir deeglike vaslegging en finale eksamenvoorbereiding. Hierdie effektiewe studiegids hersien al die noodsaaklike beginsels wat in vorige grade gedek is. Die leerder se begrip word deur stap-vir-stap notas uitgebrei en uitgewerkte voorbeelde word gebruik om nuwe werk bekend te stel. Die opsommings en handige wenke dra daartoe by dat die leerders die studiemateriaal as geheel verstaan en sodoende word selfvertroue en vaardigheid by die Graad 11-leerder bevorder. Hierdie boek waarborg die ontwikkeling van ’n stewige grondslag vir elke leerder wat vir die Graad 11 en 12 Wiskunde-eksamens voorberei en wat vasbeslote is dat hulle wil uitblink, ’n besliste weg na oop deure vir hul toekoms!

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.

A fun, colourful Maths Activity Book brimming with charming characters, engaging activities and crystal-clear explanations. Perfect for learning at home or in class, it's ideal for ages 3-4 (Preschool), and covers numbers 1-10, adding, writing numbers and more. Each topic is explained in easy-to-understand language, followed by fun-packed activities and challenges designed to boost your child's confidence and make sure all that knowledge really sticks! We've also thrown in exciting puzzles so your child can apply their Maths skills in a different context. Self-assessment boxes at the end of each topic can be used to keep track of their progress.

This volume emphasizes the role of effective curriculum design, teaching materials, and pedagogy to foster algebra structure sense at different educational levels. Positing algebra structure sense as fundamental to developing students' broader mathematical maturity and advanced thinking, this text reviews conceptual, historical, cognitive, and semiotic factors, which influence the acquisition of algebra structure sense. It provides empirical evidence to demonstrate the feasibility of linking algebra structure sense to technological tools and promoting it amongst diverse learners. Didactic approaches include the use of adaptive digital environments, gamification, diagnostic and monitoring tools, as well as exercises and algebraic sequences of varied complexity. Advocating for a focus on both intuitive and formal knowledge, this volume will be of interest to students, scholars, and researchers with an interest in educational research, as well as mathematics education and numeracy.

-Makes mathematics education research on fraction concepts accessible and understandable to pre-service and in-service teachers of grades K-8, allowing teachers to understand evidence in student work and make better instructional decisions. -Uses extensive annotated samples of student work, helping teachers improve their ability to recognize and assess student errors and misconceptions, as well as their understanding, learning, and fluency of fraction concepts. -Built off the wide-scale research gathered in the Ongoing Assessment Project (OGAP), drawn from hundreds of teachers and thousands of examples of student work. -Each chapter includes student work samples and vignettes to illuminate the research, guidance on CCSSM standards, end of chapter questions, professional development activities, and instructional links that help teachers relate concepts back to their own instructional materials and programs. -This edition has been updated throughout with the latest research, CCSSM standards, additional examples and vignettes, and more.

-Makes mathematics education research on fraction concepts accessible and understandable to pre-service and in-service teachers of grades K-8, allowing teachers to understand evidence in student work and make better instructional decisions. -Uses extensive annotated samples of student work, helping teachers improve their ability to recognize and assess student errors and misconceptions, as well as their understanding, learning, and fluency of fraction concepts. -Built off the wide-scale research gathered in the Ongoing Assessment Project (OGAP), drawn from hundreds of teachers and thousands of examples of student work. -Each chapter includes student work samples and vignettes to illuminate the research, guidance on CCSSM standards, end of chapter questions, professional development activities, and instructional links that help teachers relate concepts back to their own instructional materials and programs. -This edition has been updated throughout with the latest research, CCSSM standards, additional examples and vignettes, and more.