Exam Board: WJEC Level: GCSE Subject: Mathematics First Teaching: September 2015 First Exam: June 2017 Maximise your students' grade potential with a step-by-step approach that builds confidence through topic summaries, worked examples and exam-style questions; developed specifically for the new Mathematics specifications, with leading Assessment Consultant Keith Pledger. - Identify areas of improvement to focus on through diagnostic tests for each topic. - Develop exam skills and techniques with skills-focused exam-style questions and exam advice on common pitfalls. - Build understanding and confidence with clear explanations of each topic covering all the key information needed to succeed. - Consolidate revision with 'two weeks to go' summaries for each topic.

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.

Daily Math Practice is divided into 36 weekly sections. The five items practiced each day, Monday through Thursday, include two computation problems, two items that practice a variety of math skills, and one word problem. Friday lessons contain a single problem that is more extensive and may require multiple steps and problems that emphasize reasoning and communication in mathematics.

This fourth edition of the bestselling Mathematics in Early Years Education provides an accessible introduction to the teaching of mathematics in the early years. Covering all areas of mathematics - number and counting, calculation, pattern, shape, measures and data handling - it provides a wide range of practical activities and guidance on how to support young children's mathematical development. There is also guidance on managing the transition to KS1 and a strong emphasis throughout on creating home links and working in partnership with parents. This new edition has been fully updated to incorporate the latest research and thinking in this area and includes: why mathematics is important as a way of making sense of the world how attitudes to mathematics can influence teaching and learning how children learn mathematics and what they are capable of learning how technology can support maths teaching maths phobia and the impact society has on maths teaching material on sorting, matching and handling data the importance of educating about finance in today's world ideas for observation and questioning to assess children's understanding examples of planned activities suggestions for language development assessment criteria. This textbook is ideal for those training to be teachers through an undergraduate or PGCE route, those training for Early Years Professional Status and those studying early childhood on foundation or honours degrees, as well as parents looking to explore how their young children learn mathematics. This will be an essential text for any early years practitioner looking to make mathematics interesting, exciting and engaging in their classroom.

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

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!

-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 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.

Packed to the rafters with helpful practice questions for Key Stage Two Maths, this CGP classic is fully up-to-date for the latest curriculum! It contains a huge range of questions for all the essential KS2 Maths topics - with hints and tips for the trickiest parts. We've also thrown in complete answers for easy marking. Matching study notes are available in our KS2 Maths Study Book (9781847621849).

The Cambridge Lower Secondary Complete Mathematics 7 Student Book ensures students fully cover and excel in the curriculum, as well as embedding the learning they need to progress smoothly towards IGCSE (R) Mathematics. This resource provides a rigorous approach for teaching and studying Cambridge Lower Secondary Maths to ensure students learn everything that is required at that level. However, stretching materials and exercises also prepare students for a smooth transition to IGCSE Mathematics by supporting the development of required skills. It is written by the expert author of our previous, best-selling edition and maintains the strengths of the original book, but with updates and improvements to better meet students' and teachers' needs. The Student Book is supported by a Homework Book that provides opportunities for independent practice inside and outside the classroom, and a Teacher Handbook, which offers full teaching support.

This book covers the elementary school mathematics curriculum common in most parts of the world. Its aim is to serve educators (teachers and parents) as a guide for teaching mathematics at elementary school level. The book focuses both on content knowledge and on pedagogical content knowledge. It bridges the gap between fundamental mathematical principles and good teaching practices. It also offers the reader a glimpse on how mathematicians perceive elementary mathematics and presents ideas for specific mathematical activities.The author is also a co-founder of Matific, an adaptive game-based teaching and learning tool for primary school mathematics. Independent studies have shown Matific to improve test scores, reduce maths anxiety, and increase motivation. Matific is available in 26 languages and aligned to mathematics curricula in 46 countries. Awards include Best Mathematics Instructional Solution, Best Game-Based Curriculum Solution and Best Educational App. For a trial, visit https://www.matific.com.

remove remove This book was developed with the caring and concerned adult in mind and is a one-stop for anyone who would like to help a child develop problem solving thinking. They will become adept at the use of problem solving strategies over the course of their development from birth. For each age range, this book provides developmental information, relevant mathematical concepts, sample problems with multiple solutions, and finally activities to engage with as a family in order to develop mathematical thinking and problem solving skill.

Highly motivating differentiated Student Books develop confidence, fluency and problem-solving, supporting progression: *Full ability range: Pi (Tier 1), Theta (Tier 2) and Delta (Tier 3)* Unit structure based on mastery lessons, formative test, consolidation and extension lessons and a summative unit test* Reflection (metacognition) is explicitly encouraged to build perseverance and confidence* STEM and Finance lessons highlight these important links to using maths in real life* Reasoning and Problem-solving are nurtured in preparation for progressing to GCSE. If you're an institution you can get the answers for this book as a free download. If you are a parent or tutor please contact customer services at [email protected] who will send you the download directly.

This KS2 Maths SATS Stretch Revision Book is targeted at pupils looking score top marks in the SATS, are working above the 'expected standard'. It contains everything they need to know for the tough Year 6 Maths SATS - crystal-clear, colourful study notes, step-by-step worked examples and stimulating practice questions to test their understanding after each section. It's all set at a higher level than our standard SATS Revision Book (9781782944195), with more complex examples and questions - perfect for learning and practising even the toughest material before the big day. Answers are included in the back of the book. For even more practice, check out our matching Maths SATS Stretch Question Book (9781782944201) and Maths SATS Stretch 10-Minute Tests (9781782946816). For less-confident pupils, try our standard Maths SATS Revision Book (9781782944188).

A NEW EDITION OF THE ORIGINAL BESTSELLER 'Well-researched and provides positive solutions' Times Educational Supplement In The Elephant in the Classroom, Jo Boaler outlines what has gone wrong in mathematics education, identifying the problems facing children in classrooms today. How can children be prepared for the mathematics they will need in the future? They need to be taught to be quantitatively literate, to think flexibly and creatively and how to problem solve. Jo Boaler offers concrete solutions for parents and teachers that will revolutionise children's experience with maths. Along with practical teaching activities, strategies and questions that can transform a child's mathematical future, she shares a range of free and accessible online resources. 'Has attracted an enthusiastic and vocal fan club among mums, dads and professionals' Daily Telegraph

This book uses meta-analysis to synthesize research on scaffolding and scaffolding-related interventions in STEM (science, technology, engineering, and mathematics) education. Specifically, the volume examines the extent to which study quality, assessment type, and scaffolding characteristics (strategy, intended outcome, fading schedule, scaffolding intervention, and paired intervention) influence cognitive student outcomes. It includes detailed descriptions of the theoretical foundations of scaffolding, scaffolding strategies that have been proposed to meet different intended learning outcomes in STEM, and associated efficacy information. Furthermore, the book describes assessment strategies and study designs which can be used to evaluate the influence of scaffolding, and suggests new fields in which scaffolding strategies that have proven efficacious may be used.

The series is edited by the head coaches of China's IMO National Team. Each volume, catering to different grades, is contributed by the senior coaches of the IMO National Team. The Chinese edition has won the award of Top 50 Most Influential Educational Brands in China.The series is created in line with the mathematics cognition and intellectual development levels of the students in the corresponding grades. All hot mathematics topics of the competition are included in the volumes and are organized into chapters where concepts and methods are gradually introduced to equip the students with necessary knowledge until they can finally reach the competition level.In each chapter, well-designed problems including those collected from real competitions are provided so that the students can apply the skills and strategies they have learned to solve these problems. Detailed solutions are provided selectively. As a feature of the series, we also include some solutions generously offered by the members of Chinese national team and national training team.

The value of patterns to the teaching and learning of mathematics is well understood, both in terms of research and application. When we involve or appeal to pattern in teaching mathematics, it is usually because we are trying to help students to extract greater meaning, or enjoyment, or both, from the experience of learning environments within which they are occupied, and perhaps also to facilitate remembering. As a general skill it is thought that the ability to discern a pattern is a precursor to the ability to generalize and abstract, a skill essential in the early years of learning and beyond. Research indicates that the larger problem in teaching mathematics does not lie primarily with students; rather it is with the teachers themselves. In order to make changes for students there first needs to be a process of change for teachers. Understanding the place of patterns in learning mathematics is a predicate to understanding how to teach mathematics and how to use pedagogical reasoning necessary in teaching mathematics. Importantly, the lack of distinction created by the pedagogical use of patterns is not immediately problematic to the student or the teacher. The deep -seated cognitive patterns that both teachers and students bring to the classroom require change. Chapter 1 opens the book with a focus on mathematics as the science of patterns and the importance of patterns in mathematical problem solving, providing the reader with an introduction. The authors of Chapter 2 revisit the work of Po lya and the development and implementation of problem solving in mathematics. In Chapter 3, the authors present an argument for core pedagogical content knowledge in mathematics teacher preparation. The authors of Chapter 4 focus on preservice teachers' patterns of conception as related to understanding number and operation. In Chapter 5 the authors examine the role of visual representation in exploring proportional reasoning, denoting the importance of helping learners make their thinking visible. The authors of Chapter 6 examine patterns and relationships, and the importance of each in assisting students' learning and development in mathematical understanding. The authors of Chapter 7 examine the use of worked examples as a scalable practice, with emphasis on the importance of worked examples in teaching fraction magnitude and computation is discussed. In Chapter 8, the authors expand on the zone of proximal development to investigate the potential of Zankov's Lesson in terms of students analyzing numerical equalities. The authors of Chapter 9 focus on high leverage mathematical practices in elementary pre-service teacher preparation, drawing into specific relief the APEX cycle to develop deep thinking. In Chapter 10, the author focuses on number talks and the engagement of students in mathematical reasoning, which provides opportunities for students to be sensemakers of mathematics. Chapter 11 presents an epilogue, focusing on the importance of recognizing the special nature of mathematics knowledge for teaching.

This chunky CGP Textbook contains thousands of practice questions (with answers) comprehensively covering Foundation Level Grade 9-1 GCSE Maths! For each topic, there are worked examples that show students how to approach problems step-by-step, followed by a huge number of questions that build up in difficulty as they gain confidence. This book is also available as an Online Edition for PC, Mac and tablets - see 9781782944577.