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.

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.

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.

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

This is Book Three in CGP's range of three 10-Minute Tests books - it covers the most challenging material from KS3 Maths. Inside, you'll find over 30 bite-sized tests, each packed with questions on a mixture of topics. Complete answers and mark schemes are included at the back, so it's easy to find out how well students are progressing. For practice on the more straightforward parts of KS3 Maths, Book One (9781782944751) and Book Two (9781782944812) are also available.

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.

This CGP Workout Book is packed with enjoyable practice exercises for Year 5 KS2 Maths (ages 9-10). Presented in a fun and friendly style, it's a great way to help make sure children have really got to grips with all the important topics. Answers are included in a removable section at the back of the book, so it's simple to find out how well they're progressing.

Note that the Floris Books editions of Jamie York's books have been completely revised for UK and European notation, language and metric systems. They are also suitable for use in South Africa, Australia and New Zealand. Experienced maths teacher and consultant Jamie York believes that a love of learning comes through the teacher, so his books are committed to supporting teachers in developing their classroom skills and to fostering a love of maths in their students. Unlike conventional maths textbooks, his books are not full of fancy graphics and contrived ways to make maths fun. Rather, they: -- focus on the essentials, so teachers aren't overwhelmed by endless lists of required material -- are genuinely interesting and challenging, sparking students' enthusiasm for learning maths -- are developmentally appropriate to the age of the child, thereby encouraging inner mathemetical awareness and thinking -- favour depth over superficiality, to avoid teaching blind procedures to solve meaningless problems This teachers' resource book for Classes 1 to 5 provides a direct and logical approach to teaching 6 to 11-year-olds maths. Each class level and topic provides numerous tried and tested examples and explanations. The book includes: Class 1: Roman numerals, quality of numbers, counting, number dictations, developing a sense of number, beginning calculations and more. Class 2: estimating, place value, addition and subtraction facts, times/division tables, four arithmetic processes, time orientation, wonder of numbers and more. Class 3: numbers up to 1000, arithmetic facts, vertical addition, subtraction, multiplication and division, working horizontally, measurement and more. Class 4: greatest common factors, least common multiples, challenging multiplication facts, two- and three-digit multipliers, measurement, fractions and more. Class 5: arithmetic with fractions, decimal fractions, measurement, geometry, wonder of numbers, review and consolidation of Classes 1-4 and more.

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.

This book offers fresh insight and understanding of the many ways in which children, youth and adults may find their paths to mathematics. The chapters of the volume offer and analyse promising new ways into mathematics. The focus is on spaces and modalities of learning, dialogue and inquiry, embodiment and aesthetic experience, information and communication technology and on the use of mathematics in public communication. The chapters present new mathematical activities and conceptions enriching the repertoire of mathematics education practices. Critical commentaries discuss the innovative potential of the new approaches to the teaching and learning of mathematics. As a consequence, the commentaries point to requirements and open issues in the field of research in mathematics education.The volume is remarkably international. Teachers and researchers from 14 countries authored 21 chapters and 7 commentaries. The reader is invited to reflect on the particular effect of presenting avenues to mathematics contrived in diverse national settings in which the praxis of mathematics education might look different compared to what happens in the reader's place. The book starts a series of sourcebooks edited by CIEAEM, the Commission Internationale pour l'Etude et l'Amelioration de l'Enseignement des Mathematiques / International Commission for the Study and Improvement of Mathematics Education.

This title has been endorsed by Cambridge Assessment International Education. Master the essential mathematical skills that underpin the new Cambridge Primary Mathematics curriculum framework (0096), with specifically sign-posted tasks and activities rooted in the mastery approach. - Get learners thinking mathematically with engaging activities designed to focus on key skills and principles. - Embed knowledge across all areas of learning, enabling learners to make connections between different areas of mathematics. - Develop vocabulary with probing questions designed to encourage learners to use accurate language to describe how they solve particular problems.

Key Maths is a series of graded activity books that reinforce children's mastery of important skills and concepts as required by the Primary National Strategy for maths at Key Stage 1. Areas covered include algebra, measures, money, fractions and data handling. Key Maths Book 1 is suitable for children making the transition from the Early Years Foundation Stage to Key Stage 1 and includes: numbers to 10, simple addition, comparative size (thicker/thinner and longer/shorter), comparative measures (heavier/lighter), o'clock times, 2-D shapes and repeating patterns.

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.

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.

This book brings together international research on school teachers', and university lecturers' uses of digital technology to enhance teaching and learning in mathematics. It includes contributions that address theoretical, methodological, and practical challenges for the field with the research lens trained on the perspectives of teachers and teaching. As countries around the world move to integrate digital technologies in classrooms, this book collates research perspectives and experiences that offer valuable insights, in particular concerning the trajectories of development of teachers' digital skills, knowledge and classroom practices.

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."

Why do some students achieve more than others? Do we have to wait until pupils are ready? Can children discover math for themselves? Does language interfere with the learning of math? This classic text, written from the viewpoint of the math teacher, provides answers to these and many more questions. Each chapter explores a particular issue that illustrates the interaction between theory and practice. New chapters have been included on cognition, pattern, and ICT.

Scottish Heinemann Maths is written specifically for Scotland to help implement the recommendations from Improving Mathematics Education 5-14. It provides: an increased pace of progression; end of level assessment; oral and mental calculation; integral homework; and support for planning.

The only textbook that completely covers the OxfordAQA International GCSE Mathematics Core Level specification (9260), for first teaching in September 2016. Written by experienced authors, the clear, international approach ensures strong mathematical understanding and provides exam-focused practice to build assessment confidence. This textbook helps students to develop the key mathematical, reasoning and problem solving skills needed for the Oxford AQA International GCSE Mathematics Core Level exam, with extensive opportunities for practice and model answers. The online textbook can be accessed on a wide range of devices and the licence is valid until 31st December 2026, for use by one student or teacher. Your first login will be sent to you in the mail on a printed access card.

This all-in-one Study & Question book is a brilliant way for Year Two pupils (ages 6-7) to get to grips with Key Stage One Maths. For every topic, there's a page of clear, colourful notes that summarises all the important skills. This is followed by a page of practice questions to test children on what they've just learned. The book also contains two objective tests - one to assess children's skills at the start of Year Two, and one to measure their progress at the end of the year. All the answers are included in a cut-out-and-keep section in the middle of the book, and there's an explanation of all the key maths terms at the back.