This CGP Study Guide explains everything students need to know for Key Stage Three Maths. It's ideal for students working at a foundation 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. For extra practice, a matching KS3 Maths Workbook is also available (9781841460482).

A concise yet comprehensive guide for new teachers, concerning the development of mathematics teaching in secondary schools, and the controversies which surround it. After a brief summary of the historical context, a series of short articles provide a range of perspectives on various issues of current debate, which may help new teachers in the development of their own teaching styles. Topics include the impact of computers and calculators on maths teaching; different arguments for the use of published schemes and of more investigational approaches to the curriculum; and the way in which social and cultural factors can affect the teaching of certain mathematical topics. The final section discusses how teachers might wish to continue their professional development through action research in their own classrooms.

Uncover the unnamed heroes who contributed to some of our world’s most important science.

Explore the hidden heroes that created the miraculous things we find all around us in this science book for children aged 7-9.

Do you ever find yourself feeling curious about who created the science behind some of our most impressive structures? Or wonder who it was that invented the equipment you find in your classroom? Well, wonder no more. This groundbreaking book covers all the lost contributors to the world’s most important scientific discoveries.

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If our goal is to broaden and deepen students' awareness and understanding of mathematics, we advance the idea that engaging students with what we metaphorically call the personality of math. That is, we think that students who engage with the math's (1) human champions, (2) with its history and philosophy, and (3) with the nature of its problems and inferential challenges, are more likely to have a positive attitude toward math that will encourage greater learning.

More than 300 pages of engaging math questions and lessons for fans of Minecraft! This kid-friendly workbook features well-loved video game characters and concepts to reinforce the development of first through fourth grade math skills laid out in the national Common Core State Standards. Colorfully illustrated puzzles and high-interest, engaging practice problems and activities are perfect for fans of Minecraft and gaming. The curriculum-based content covered here includes lessons in: Adding, subtracting, multiplication, and division practice pages with colorful art Word problems that bring math and Minecrafting to life Math Facts pages for timed or untimed practice Code-breaking fun Place value, base 10, regrouping, skip counting, grouping, and more fundamental math skills! Skip to the pages that suit your child's needs and learning style or start at the beginning and advance page by page--it's up to you! As the workbook progresses, the problems become more challenging so that learners of all levels can enjoy an exciting, skill-building math adventure. The Mammoth Book of Math Activities for Minecrafters is as fun as it is educational. It's just what your little learner needs to get ahead academically!

With small steps and our carefully crafted questions, every pupil will achieve greater progress. Designed to be used flexibly, this second edition textbook has been updated to include more Mastery-style questions and whole-class activities. Whether you follow a full Mastery scheme, choose to use Mastery aspects or you're just looking for quality resources, our three textbooks support the way you want to teach. Each book gradually builds on prior knowledge, developing pupils' confidence, fluency, reasoning and problem-solving skills. * Secure understanding with differentiated questions and worked examples that build on prior knowledge, following the 'do it, secure it, deepen it' Mastery structure, building on prior knowledge from Book 1 * Target key skills using the fluency, reasoning and problem-solving markers in the margin * Build confidence with starter activities and warm-up questions to introduce each concept * Develop reasoning skills using non-examples, where pupils identify mistakes in sample answers * Track progress through review questions, building key skills and knowledge * Benefit from the expertise of UK Mastery trained subject specialists with over 30 years of teaching experience * Cover the full UK National Curriculum and all four strands - number, algebra, geometry and measures, statistics and probability - within our three restructured textbooks for Key Stage 3 Our flexible, Mastery-led approach Our flexible approach allows you to teach maths your way. You can choose to focus on building understanding using the graduated questions or take a Mastery approach to exposition using manipulatives and 'concrete, pictorial, abstract' in the optional class activities. Answers will be provided online.

With small steps and our carefully crafted questions, every pupil will achieve greater progress. Designed to be used flexibly, this second edition textbook has been updated to include more Mastery-style questions and whole-class activities. Whether you follow a full Mastery scheme, choose to use Mastery aspects or you're just looking for quality resources, our three textbooks support the way you want to teach. Each book gradually builds on prior knowledge, developing pupils' confidence, fluency, reasoning and problem-solving skills. * Secure understanding with differentiated questions and worked examples that build on prior knowledge, following the 'do it, secure it, deepen it' Mastery structure * Recap skills and topics from Key Stage 2, ensuring a smooth transition to Key Stage 3 * Target key skills using the fluency, reasoning and problem-solving markers in the margin * Build confidence with starter activities and warm-up questions to introduce each concept * Develop reasoning skills using non-examples, where pupils identify mistakes in sample answers * Track progress through review questions, building key skills and knowledge * Benefit from the expertise of UK Mastery trained subject specialists with over 30 years of teaching experience * Cover the full UK National Curriculum and all four strands - number, algebra, geometry and measures, statistics and probability - within our three restructured textbooks for Key Stage 3 Our flexible, Mastery-led approach Our flexible approach allows you to teach maths your way. You can choose to focus on building understanding using the graduated questions or take a Mastery approach to exposition using manipulatives and 'concrete, pictorial, abstract' in the optional class activities. Answers will be provided online.

A volume in Research in Mathematics Education Series Editor Barbara J. Dougherty, University of Mississippi The purpose of this book is to document the work of the Show-Me Project (1997-2007) and to highlight lessons learned about curriculum implementation. Although the Show-Me Project was charged with promoting the dissemination and implementation of four distinct comprehensive curriculum programs (Connected Mathematics, Mathematics in Context, MathScape, and MathThematics), most of the lessons learned from this work are not curriculum specific. Rather, they cut across the four programs and share commonalities with standards-based curriculum reform at any level. We believe that documenting these lessons learned will be one of the legacies of the Show-Me Project We anticipate that the comprehensive nature of this work will attract readers from multiple audiences that include state and district mathematics supervisors, middle grades mathematics teachers and administrators involved in curriculum reform, as well as mathematics teacher educators. Those about to embark on the review of curriculum materials will appreciate reading about the processes employed by other districts. Readers with interests in a particular curriculum program will be able to trace the curriculum-specific chapters to gain insights into how the design of the curricula relate to professional development, adoption and implementation issues, and teachers' personal experience using the curriculum materials. Individuals who provide professional development at the middle grades level will find chapters that they can use for both general and focused discussions. Teachers at all stages of implementation will recognize their own experiences in reading and reflecting on the stories of teacher change. Mathematics educators will find ideas on how these curricula can be used in the preparation of preservice middle grades teachers.

*THIS BOOK IS AVAILABLE AS OPEN ACCESS BOOK ON SPRINGERLINK* This book examines multiple facets of language diversity and mathematics education. It features renowned authors from around the world and explores the learning and teaching of mathematics in contexts that include multilingual classrooms, indigenous education, teacher education, blind and deaf learners, new media and tertiary education. Each chapter draws on research from two or more countries to illustrate important research findings, theoretical developments and practical strategies. This open access book examines multiple facets of language diversity

This title forms part of the Little Library programme, which consists of a Literacy Kit, Numeracy Kit and Life Skills Kit. These were developed to respond to a need for high-quality, indigenous books for the younger members of our communities, and have been successfully used in schools for the last ten years. This title is found in the updated, OBE version of the Little Library Maths Kit, now called the Little Library Numeracy Kit. The Numeracy Kit keeps seven of the best stories, and introduces five new ones - all of them trialled in classrooms around the country. In Keep the change, Ryan has a lucky day when a one hundred rand note falls into his hands. This sets off a chain of events where his friends and family buy gifts for themselves and also for their loved ones. Mathematical themes include money, totals, buying and working out change.

The book focuses on the latest developments of the Anthropological Theory of the Didactic (ATD) and its links with other approaches in mathematics education. Leading researchers in the ATD and especially its creator, Yves Chevallard, present recent research results, theoretical advances and new methodologies in this approach, concerning critical educational problems at all levels. The book is addressed to researchers in mathematics education and all related fields, to teacher educators and teachers in primary, secondary and tertiary education interested in curriculum issues and research in didactics. The book includes four sections that correspond to four axes of current research in the framework of the ATD. The first one studies the relations between the ATD and other research frameworks. The second section focuses on the crucial role of didactics in teacher education, and the experiences carried out at different instructional levels. The third section addresses the curriculum problem in the historical transition from the classical paradigm of visiting works to the emerging didactic paradigm of questioning the world. The last section is about research in didactics at the university level, with investigations about the analysis of didactic transposition processes and the design and implementation of various instructional formats.

Engage students with examiner Sue Pemberton's unique, active learning approach. This new edition is fully aligned with the Extended part of the latest IGCSE syllabus, for examination from 2020, and contains a comprehensive mapping grid so you can be sure of complete support. Help students truly master every topic. and achieve their full exam potential with worked examples, step-by-step explanations and plenty of practice. The clear language and progression of content develops EAL students' subject and language knowledge. Take learning further with extra revision material and worked examples on the accompanying support site. This Student Book is also supported by a comprehensive Teacher Guide. This online Student Book will be available on Oxford Education Bookshelf until 2028. Access is facilitated via a unique code, which is sent in the mail. The code must be linked to an email address, creating a user account. Access may be transferred once to a new user, once the initial user no longer requires access. You will need to contact your local Educational Consultant to arrange this.

Arithmetic Ninja for Ages 8-9 is the essential photocopiable maths resource for every Year 4 classroom from Andrew Jennings, the creator of Vocabulary Ninja, Comprehension Ninja and Write Like a Ninja. Split into 38 weeks, this book features over 680 question cards and is fully aligned to the Key Stage 2 National Curriculum for mathematics. With activities for each day of the week plus a bonus challenge, this book is the perfect resource for daily maths practice and quick lesson starters. The exercises in this book get progressively harder each week, and are divided into three Ninja levels to ensure differentiation. There are answers at the back to help with marking and cutting lines on each page so the activities can easily be cut out and stuck in exercise books. Perfect for SATs preparation, the multiplication tables check and mental maths practice, this book is ideal for busy primary teachers who only want to visit the photocopier once a week. The resources are flexible and high-quality, and will ensure all pupils are maths Ninjas by the end of the year. For more must-have Ninja books by Andrew Jennings (@VocabularyNinja), check out Vocabulary Ninja, Comprehension Ninja, Write Like a Ninja and Times Tables Ninja.

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.

Hierdie 3 in 1 studiegids bied, vir leerders en onderwysers, ’n omvattende en innoverende benadering tot Wiskundige Geletterdheid. Dit bevat: Omvattende Notas en Uitgewerkte Voorbeelde in al 7 onderwerpe, Oefeninge en ‘Toets jou Begrippe’ vir elke onderwerp en Gedetailleerde Antwoorde met Verduidelikings & nuttige wenke. Hierdie boek bied ’n konkrete oplossing vir leerders wat hierdie vak neem. Dit ontwikkel hul vaardighede en selfvertroue in die oplos van enige soort wiskundige probleem wat spesifiek op die kurrikulum van toepassing is. Die stimulerende maklik-om-te-volg teks, duidelike diagramme en illustrasies motiveer leerders om redelik moeiteloos deur elke onderwerp te vorder. Nuwe konsepte en tegnieke word dwarsdeur die boek sistematies vasgele en geassesseer. ’n Noodsaaklike studiegids vir sukses in Wiskundige Geletterdheid.

This comprehensive compendium of questions and answers, compiled by an expert team of maths educators, is designed for exam revision. The purpose, however, has been to extend mathematical thinking and expertise beyond the norm. It contains: 10 Paper 1 Exam Papers with Memos and 10 Paper 2 Exam Papers with Memos. It features practice exams and answers and allows students to practice under timed exam conditions as well as highlight which areas of the syllabus require more attention. The handy tips and detailed memos help to develop a learner’s confidence in mastering all the concepts that form part of the CAPS/IEB curriculum. The wide range of questions will extend the learner and accelerate progress towards excellence in this challenging, rewarding subject.

Hierdie 2 in 1 studiegids bied aan Graad 12-leerders ’n unieke metode om matriekwiskunde te bemeester en daarin uit te blink. Leerders word deel gemaak van ’n sorgvuldig saamgestelde vraag-en-antwoord-‘leer’ van ontwikkeling en ondersteuning.  Hierdie boek bevat ’n uiters omvattende, metodies gerangskikte samestelling van eksamenvrae en – antwoorde, geskik vir beide die NASIONALE en die IEB-wiskunde-eksamens. Die sorgvuldig opgeboude vrae dek ook beide die Graad 11- en 12-inhoud wat in die eindeksamen ingesluit word. Daar is TWEE duidelik onderskeibare afdelings in die boek: Onderwerpgerigte Vrae & Oplossings – om ’n deeglike begrip van teorie, tegnieke & konsepte in elke onderwerp te ontwikkel. 14 Eksamenvraestelle en Memo’s wat uit vorige vraestelle saamgestel is. In die eerste afdeling van die studiegids is vrae in aparte ONDERWERPE gerangskik, wat leerders in staat stel om een onderwerp op ‘n slag te bemeester. Die vrae is gegradeer en gegroepeer om leerders in begrip, selfvertroue en kundigheid te help groei. Dit dek nie net die Graad 12-inhoud nie, maar ook alle vorige (Graad 10 & 11) konsepte wat noodsaaklik is vir begrip en sukses. In die tweede afdeling is die 7 eksamenvraestelle volgens die Nasionale Eksamenriglyne saamgestel en kognitiewe vlakke en gewigstoekenning per onderwerp is in ag geneem. Vrae is met omsigtigheid uit die 7 eksamenvraestelle gekies sodat dit alle aspekte en tegnieke van alle onderwerpe volledig dek. Nuttige notas, opsommings en teksraampies met raad word regdeur die publikasie gegee. Hierdie topverkoper bied regdeur die jaar uitstekende voorbereiding vir KABV- en IEB-matrikulante en het al baie leerders gehelp om bo hul verwagtinge in hierdie belangrike vak, sukses te behaal.

Combinatorics and Reasoning: Representing, Justifying and Building Isomorphisms is based on the accomplishments of a cohort group of learners from first grade through high school and beyond, concentrating on their work on a set of combinatorics tasks. By studying these students, the editors gain insight into the foundations of proof building, the tools and environments necessary to make connections, activities to extend and generalize combinatoric learning, and even explore implications of this learning on the undergraduate level. This volume underscores the power of attending to basic ideas in building arguments; it shows the importance of providing opportunities for the co-construction of knowledge by groups of learners; and it demonstrates the value of careful construction of appropriate tasks. Moreover, it documents how reasoning that takes the form of proof evolves with young children and discusses the conditions for supporting student reasoning.

Researchers examining children's mathematics acquisition are now questioning the belief that children learn mathematics principally through formalized, in-school mathematics education. There is increasing evidence that children gain mathematical understanding through their participation in out-of-school cultural practices and that their mathematics only occasionally resembles what they learn in the classroom. Culture and Cognitive Development presents the latest research by Dr. Geoffrey Saxe on this issue. In examinations of the mathematical understandings of child candy sellers in an urban center in northeastern Brazil, Dr. Saxe finds sharp contrasts between mathematics as practiced in school and in real-world settings. In this unique research project he presents a penetrating conceptual treatment of the interplay between culture and cognitive development, filling a void in current research literature. Subjects examined include: the interplay between sociocultural and cognitive developmental processes the differences between math knowledge learned in and out of the classroom the ways math learning in the classroom is modified by children's out-of-school mathematics and, correspondingly, how practical out-of-school mathematics use is modified by formal education

Eminent scholars from around the globe gathered to discuss how educational systems would change if the prevailing principles of constructivism were applied to three major aspects of those systems -- knowledge and learning, communication, and environment. This volume provides documentation of the proceedings of this important meeting - - the Early Childhood Action Group of the Sixth International Congress on Mathematics Education.
This international assembly, representing such diverse disciplines as mathematics and math education, epistemology, philosophy, cognitive science, psycholinguistics, and science education, is the first to examine early childhood mathematics education from constructivist and international perspectives in addition to formulating recommendations for future work in the field.