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.

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.

This work is a complete, comprehensive and progressive teaching and learning programme. It is for children sitting 11+, SATs, common entrance and scholarship examinations. Arranged in a topic by topic format, it adopts a more traditional approach. A unique code is used covering Information, Technique and Exercises. Clear methodologies, with examples, are given for each technique. Plenty of practice exercises are also included. All books are rigorously classroom tested. Methodologies have been used in AE Tuition classes for over 20 years. There is over 85 per cent success rate in 11+ and selection tests. These books are designed to be used in sequence from Workbook 1 onwards and are frequently revised and updated. Answers, Progress Charts and a Certificate of Achievement are included at the end of every book.

This work is a complete, comprehensive and progressive teaching and learning programme. It is for children sitting 11+, SATs, common entrance and scholarship examinations. Arranged in a topic by topic format, it adopts a more traditional approach. A unique code is used covering Information, Technique and Exercises. Clear methodologies, with examples, are given for each technique. Plenty of practice exercises are also included. All books are rigorously classroom tested. Methodologies have been used in AE Tuition classes for over 20 years. There is over 85 per cent success rate in 11+ and selection tests. These books are designed to be used in sequence from Workbook 1 onwards and are frequently revised and updated. Answers, Progress Charts and a Certificate of Achievement are included at the end of every book.

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.

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!

Become a super spy, crack codes and train your brain! By using maths and logic to solve and navigate the codes, kids will build great skills to help them with problem solving and reasoning. Developed by Dr Gareth Moore, an expert in the field, this book will have your kids cracking codes in no time! Reveal secret messages with codes used by real-life spies Use maths to crack into mysterious safes Become a master tech-decoder using logic, and more Discover cryptic co-ordinates to hunt down hidden treasure ...and much more! Including amazing alphabet and number codes, grids, and picture puzzles. Don't worry, if kids get stuck, there are tips and subtle clues to help improve code-breaking skills. With full-colour graphics and illustrations throughout, this book is as eye-catching as it is entertaining.

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.

KS3 Maths Progression Workbooks offer extra practice of key content, along with progression checkers at the end of each Unit and plenty of dynamic student support. * Hundreds of extra practice questions at different levels of difficulty: Mastery, Strengthen and Extend * Guided questions with partially worked solutions, hints and QR codes linking to worked example videos give students crucial support * Progression checkers at the end of each Unit encourage students to take ownership of their learning, and allows them to track their progress as they work through the book. 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.

Teacher education seeks to transform prospective and/or practicing teachers from neophyte possibly uncritical perspectives on teaching and learning to more knowledgeable, adaptable, analytic, insightful, observant, resourceful, reflective and confident professionals ready to address whatever challenges teaching secondary mathematics presents.

This transformation occurs optimally through constructive engagement in tasks that foster knowledge for teaching secondary mathematics. Ideally such tasks provide a bridge between theory and practice, and challenge, surprise, disturb, confront, extend, or provoke examination of alternatives, drawn from the context of teaching. We define tasks as the problems or activities that, having been developed, evaluated and refined over time, are posed to teacher education participants. Such participants are expected to engage in these tasks collaboratively, energetically, and intellectually with an open mind and an orientation to future practice. The tasks might be similar to those used by classroom teachers (e.g., the analysis of a graphing problem) or idiosyncratic to teacher education (e.g., critique of videotaped practice).

This edited volume includes chapters based around unifying themes of tasks used in secondary mathematics teacher education. These themes reflect goals for mathematics teacher education, and are closely related to various aspects of knowledge required for teaching secondary mathematics. They are not based on the conventional content topics of teacher education (e.g., decimals, grouping practices), but on broad goals such as adaptability, identifying similarities, productive disposition, overcoming barriers, micro simulations, choosing tools, and study of practice. This approach is innovative and appeals both to prominent authors and to our target audiences.

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).

The home of trusted English dictionaries and thesauruses for school use. Level: KS2 Subject: Maths This colourfully illustrated maths dictionary for children offers amazing support for the primary maths curriculum. Simple definitions of key maths terms are linked to full times table charts, weight measurements, and geometry. All of the maths concepts are clearly laid out and illustrated, making this primary maths dictionary a fun and easy way for pupils to learn maths, at Key Stage 2 and beyond! Contains full coverage of the new curriculum maths terminology Gives concise explanations of the key maths terms that pupils need Makes clear links to show how maths is used in real-life contexts Incorporates fun illustrations and colourful diagrams to help with understanding Uses alphabetical presentation for easy access Includes lots of supplements such as times tables, weight measurements and geometry

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.

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.

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.

Please note this title is suitable for any student studying: Exam Board: AQA Level: GCSE Subject: Mathematics First teaching: September 2015 First exams: June 2017 AQA GCSE Maths, Higher Student Book has been approved by AQA and specially written by a team of maths experts for the Higher tier of AQA's 2015 GCSE specification. Designed to fully support the new style of assessment, the book adopts a clear style to focus on delivering exam success via the careful development of fluency and problem solving practice. Powered by MyMaths the book links directly to the ever popular web site offering students a further source of appropriate support.

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.

The Heinemann Mathematics scheme has been developed by the authors of the primary course SPMG, with the aim of building on established strengths to provide a structured development of children's mathematical knowledge and skills within the revised curricula.

This Book Thinks You're a Maths Genius explores seven key areas of maths: geometry, space and volume, statistics, numbers and number patterns, codes and ciphers and the concept of infinity. Each spread centres on an open-ended question that introduces a key mathematical concept and suggests activities that engage the child in a fun and entertaining way. Activities include predicting the trajectory of a Malteser; building loo roll skyscrapers; mind-reading magic tricks; devising your own spy code; and working out the physical correlations between your dad and Usain Bolt. The end of the book includes a section of paper-based crafts including the kit to make a cardboard football and a data log for family quirks.