The Check-up Workbook includes Check-ups for short-term KS1 assessment and Round-ups for longer-term KS1 assessment.

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

MATHEMATICAL JOURNEYS-a unique book of math ideas for teachers, homeschoolers, and anyone who wants to learn about the world of mathematics. Unlock secrets and joy behind math ideas. Discover how math concepts evolve and connect. Stimulate curiosity and the awe behind mathematics. Develop creative and inspiring ways to introduce us to mathematical ideas. Important tool enhances and enriches mathematics distance learning Are you a teacher, parent, homeschooler, or just plain curious or perplexed by mathematics, if so Mathematical Journeys will open new vistas into why math is so important and essential in our lives while expanding your knowledge of math. Pappas' new book focuses on looking at math ideas not often covered in the traditional classroom...showing us that math is more than knowing how to add, subtract or solve equations. Explore such ideas as Discovering the golds of mathematics or Delving into non-Euclidean geometries. Pappas' design and writing style makes us wanting to learn more about math.

*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

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.

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.

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.

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.

The combined impact of linguistic, cultural, educational and cognitive factors on mathematics learning is considered in this unique book. By uniting the diverse research models and perspectives of these fields, the contributors describe how language and cognitive factors can influence mathematical learning, thinking and problem solving. The authors contend that cognitive skills are heavily dependent upon linguistic skills and both are critical to the representational knowledge intimately linked to school achievement in mathematics.

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.

The people of the Navajo Nation know mathematics education for their children is essential. They were joined by mathematicians familiar with ways to deliver problems and a pedagogy that, through exploration, shows the art, joy and beauty in mathematics. This combined effort produced a series of Navajo Math Circles--interactive mathematical explorations--across the Navajo Reservation. This book contains the mathematical details of that effort. Between its covers is a thematic rainbow of problem sets that were used in Math Circle sessions on the Reservation. The problem sets are good for puzzling over and exploring the mathematical ideas within. They will help nurture curiosity and confidence in students. The problems come with suggestions for pacing, for adjusting the problems to be more or less challenging, and for different approaches to solving them. This book is a wonderful resource for any teacher wanting to enrich the mathematical lives of students and for anyone curious about mathematical thinking outside the box. In the interest of fostering a greater awareness and appreciation of mathematics and its connections to other disciplines and everyday life, MSRI and the AMS are publishing books in the Mathematical Circles Library series as a service to young people, their parents and teachers, and the mathematics profession.

This pupil-friendly CGP Question Book is packed with useful practice for 5-7 year-olds learning Maths. The questions are written to test what they know and how well they can apply their knowledge, with plenty of fun cartoons to help keep things interesting. Answers are included at the back of the book so you can easily check their work. Matching study notes and explanations are also available in CGP's KS1 Maths Study Book (9781841460802).

NHM Year 1 Activity Books: Have built-in assessment. Provide a structured development of each separate topic. Use language at an appropriate reading level. Place maths in a variety of contexts. Lead more able children through a range of problem-solving activities.

Wiskunde-angs is ’n werklikheid wat kinders – en hul ouers – se lewens versuur en uiteindelik ook beroepskeuses beperk. Onder die redes daarvoor is dat basiese syfervaardighede kleintyd nie deeglik vasgelê word nie, en dat Wiskunde só aangebied word dat kinders belangstelling verloor. Om suksesvol in Wiskunde te wees, moet ’n kind onder meer ’n parate of outomatiese kennis van getalle en die vier hoofbewerkings hê, sodat dit oombliklik, sonder om te dink, opgeroep kan word. Best Books se Pret met Wiskunde-reeks vir die Grondslagfase vergemaklik die verwerwing van dié kennis met verbeeldingryke aktiwiteite wat dit maklik én lekker maak om vaardighede stap vir stap in te oefen en heeltemal te bemeester. So word ’n stewige grondslag vir die kind se hele skoolloopbaan gelê. Die Nuwe Alles-In-Een Pret met Wiskunde-werkboeke vir Graad 1–3 volg die KABV-kurrikulum en toon aan wat deur die jaar van jong leerders verwag word. Die werkboeke bestaan uit oefenbladsye, werkvelle en ’n volkleurspeletjie per kwartaal. Oefenbladsye oefen parate vaardighede in, die werkvelle bevorder kreatiewe denke en probleemoplossing, en die speletjies help om vaardighede verder in te skerp. Al die vereiste inhoudsareas word gedek: patrone, funksies en algebra; getalle, bewerkings en verwantskappe; ruimte en vorm; datahantering; en meting. Die boeke is geskik vir gebruik in die klaskamer en tuis.

Learn all about adding and subtracting with Mo the Monster and his friends in these fun first maths books for children aged 5+ Mo is going to Monster School today! He's going to learn all about adding and subtracting numbers through sticking beads, counting cupcakes, learning magic card tricks and cracking a maths code to find some buried treasure. But can Mo stay out of trouble while he's having so much fun? Don't count on it! If a monster can understand maths, anyone can! Join Mo the Monster as he discovers the basic principles of maths, from what a fraction is, to what 3D shapes are to how to multiply BIG numbers. Along the way, Mo is kept focused (monsters are notoriously easily distracted) with the help of simple, clearly presented information, plenty of questions to answer and lots of maths puzzles and activities. The funny, colourful illustrations offer lots of scope for humour and interest to keep children engaged while they learn. Aimed at readers aged 5+. Titles in the series: Addition & Subtraction/Geometry/Division/Fractions/Measuring/Multiplication Contents Count all Count on Take-away Count on and back Difference Whole/part diagrams Addition and subtraction with ten Addition and subtraction facts Greater than and less than Add more than two numbers Add teen numbers Add larger numbers Subtract larger numbers Glossary Answers

Exam Board: SQA Level: Higher Subject: Applications of Maths The Higher Applications of Maths Student Book helps teachers and students map their route through the CfE programme, providing comprehensive and authoritative guidance for the course. Full coverage of the new Higher course specifications with list of learning intentions Attractive layout with clear text features Key questions highlight crucial concepts and techniques that need to be grasped by students in order to progress to the next learning intention Datasets included online Student Books give a practical, supportive approach to help deliver the new curriculum and offer a blend of sound teaching and learning with assessment guidance.

This book contributes to both mathematical problem solving and the communication of mathematics by students, and the role of personal and home technologies in learning beyond school. It does this by reporting on major results and implications of the Problem@Web project that investigated youngsters' mathematical problem solving and, in particular, their use of digital technologies in tackling, and communicating the results of their problem solving, in environments beyond school. The book has two focuses: Mathematical problem solving skills and strategies, forms of representing and expressing mathematical thinking, technological-based solutions; and students and teachers perspectives on mathematics learning, especially school compared to beyond-school mathematics.

What does it mean to have a visual representation of a mathematical object, concept, or process? What visualization strategies support growth in mathematical thinking, reasoning, generalization, and knowledge? Is mathematical seeing culture-free? How can information drawn from studies in blind subjects help us understand the significance of a multimodal approach to learning mathematics? Toward a Visually-Oriented School Mathematics Curriculum explores a unified theory of visualization in school mathematical learning via the notion of progressive modeling. Based on the author's longitudinal research investigations in elementary and middle school classrooms, the book provides a compelling empirical account of ways in which instruction can effectively orchestrate the transition from personally-constructed visuals, both externally-drawn and internally-derived, into more structured visual representations within the context of a socioculturally grounded mathematical activity. Both for teachers and researchers, a discussion of this topic is relevant in the history of the present. The ubiquity of technological tools and virtual spaces for learning and doing mathematics has aroused interest among concerned stakeholders about the role of mathematics in these contexts. The book begins with a prolegomenon on the author's reflections on past and present visual studies in mathematics education. In the remaining seven chapters, visualization is pursued in terms of its role in bringing about progressions in mathematical symbolization, abduction, pattern generalization, and diagrammatization. Toward a Visually-Oriented School Mathematics Curriculum views issues surrounding visualization through the eyes of a classroom teacher-researcher; it draws on findings within and outside of mathematics education that help practitioners and scholars gain a better understanding of what it means to pleasurably experience the symmetric visual/symbolic reversal phenomenon - that is, seeing the visual in the symbolic and the symbolic in the visual."