The series Mental Maths develops children's ability to understand number problems and to use their knowledge to resolve these problems confidently and logically. Mental Maths Book 2 covers: counting and ordering numbers to 100, patterns and sequences, counting money and calculating change, 2-D and 3-D shapes, tens and units; addition/subtraction of 2-digit numbers, time problems, estimating and measuring and multiples of 2/5/10.

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.

Build key fluency, reasoning and problem-solving skills with extra practice. This book is packed with questions that take small steps to enable sustained progress and is perfect for intervention. - Develop knowledge and understanding with practice questions that get progressively more difficult following a Mastery approach to learning - Support pupils with helpful reminders and explanations alongside hints for trickier questions - Help to engage pupils with questions that relate maths to outside of the classroom and plenty of colourful images - Enable home learning with answers available online

This Textbook contains hundreds of practice questions for Key Stage Three Maths (ages 11-14) - it's Book 3 in a range of three books that cover the entire KS3 Maths curriculum. Book 3 covers the most challenging KS3 material plus some extension topics that go beyond KS3, making it ideal for students who are confident in their Maths skills. Along with the questions, there are thought-provoking investigation tasks for each topic, and there's a glossary at the back that explains all the crucial maths terminology. Answers to every question are printed in a separate book (see 9781782941637). If you'd prefer to use this Textbook on a PC, Mac or tablet, digital Online Editions are also available, either with answers included (9781782941699) or without answers (9781782941668).

This all-in-one Study & Question book is a brilliant way for Year One pupils (ages 5-6) 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 One, 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.

The Edexcel Entry Level Certificate in Mathematics provides awards at levels 1, 2 and 3 of the National Curriculum and prepares students for entry to GCSE and VNVQ/VGCE and NVQ courses. The Certificate can be taken as a pre-GCSE course to introduce students to maths examinations and to give them the confidence to progress to GCSE. It is also ideal for further education students who require a basic understanding of maths as part of their study programme.

Answers are printed in a separate book (9781841464848) - or you can buy a version including answers all in one workbook (9781841460383). This CGP Workbook is packed with practice questions for Key Stage Three Maths. It's ideal for students working at a higher level, with a huge range of skill-building questions for every topic.

This is Book Two in CGP's range of three 10-Minute Tests books - it covers all the medium-difficulty 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 simpler KS3 Maths Practice, Book One (9781782944751) is also available. For more of a challenge, try Book Three (9781782944744).

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 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.

We live in an increasingly technological and information-rich world. Education is focusing more on enquiry and skills-based approaches. Students, even at the early levels of schooling, are expected to develop a range of skills, including problem solving skills. Creative thinking, using information appropriately and problem solving are important for students in the school curriculum and in daily life. This book will help students learn how to apply mathematical skills in different contexts and explain how they got to their solutions. This book is easy for parents and teachers to use, and teaches multiple strategies for solving problems, using challenging but supportive contexts. The approach is underpinned by the Five E's approach to learning. The course will help student to: * Engage with problems meaningfully * Explore different options for approaching and solving problems * Explain their thought processes * Elaborate on their working and processes and see connections between different areas of mathematics * Evaluate what worked and what didn't, learning from mistakes as well as successes

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.

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."

Exam board: SQA Level: Higher Subject: Mathematics First teaching: September 2018 First exam: Summer 2019 Practice makes permanent. Feel confident and prepared for the SQA Higher Maths exam with this two-in-one book, containing practice questions for every topic, plus two full practice papers - all written by an experienced examiner. - Choose which topics you want to revise: A simple grid enables you to pick particular areas of the course that you want to answer questions on, with solutions provided at the back of the book - Remember more in your exam: Repeated and extended practice of calculator and non-calculator questions will improve your algebraic, trigonometric, geometric, calculus and reasoning skills - Familiarise yourself with the exam papers: Both practice papers mirror the language and layout of the real SQA papers; complete them in timed, exam-style conditions to increase your confidence before the exams - Find out how to achieve a better grade: Answers to the practice papers have commentaries for each question, with tips on writing successful answers and avoiding common mistakes Fully up to date with SQA's requirements The questions, mark schemes and guidance in this practice book match the requirements of the revised SQA Higher Maths specification for examination from 2019 onwards.

Die Nuwe alles-in-een reeks kan nou spog met 'n nuwe lees- en klankprogram vir Gr 1 tot 3 om gedeelde, begeleide en selfstandige lees in die klaskamer te bevorder. Dit is ontwikkel volgens doe beginsels en doelwitte van die Kurrikulum- en assesseringsbeleidsverklaring. Die leerfokus van hierdie boek is om fonemiese bewustheid te bevorder. Leerders moet daarvan bewus wees dat spraak uit 'n reeks klanke bestaan, hulle moet individuele klanke herken, asook die manier waarop klanke woorde en woorde sinne vorm.

The Numeracy Kit Teacher's Guide is an updated, OBE version of The Little Library Reading Kit. The Reading Kit, which is well known and much loved by teachers, has been successfully used in schools for the last 10 years. The Guide contains 60 readers (five copies of 12 story books), plus a big book of each story for class reading, 12 colourful posters and this new Teacher's Guide which provides helpful ideas for teaching each story. It keeps eight of the best stories from the Reading Kit and introduces four new ones - all of them trialled in classrooms around the country. The Guide is a wonderful resource for Foundation Phase teachers. This brand-new Teacher's Guide has the following features: preparation and teaching ideas for each story Learning Outcomes and cross-curricular links activity pages that you can photocopy a translation of each story in all the official languages"

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.

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.

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.

Can be used as a learning tool in conjunction with our other maths materials. This is useful preparatory material for children who will eventually be sitting for the 11+ grammar school or independent school exams. Provides practice for GL Assessment, CEM and all other styles of mathematical tests. During an intense learning phase children also improve their maths skills through a testing process, provided that the main emphasis is focused on acquiring techniques from our workbooks.The tests are not exclusively book specific but they are progressive and emphasise the elements of the workbooks in order.

Hierdie 3 in 1 studiegids is met uiterste noukeurigheid ontwikkel vir die groot aantal leerders wat vir hierdie gewilde vak inskryf. 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. Dit bied bondige, toeganklike notas, duidelik uitgewerkte voorbeelde en vaslegging van konsepte deur gegradeerde oefeninge en toetse. Hierdie boek word ten sterkste aanbeveel en waarborg sukses, maak voorsiening vir ‘n wye verskeidenheid leerders deur die kurrikuluminhoud op ‘n interessante en genotvolle manier aan te bied. Hierdie boek is al wat jy nodig het om vir die eindeksamen in Wiskundige Geletterdheid voor te berei.