This book, the outcome of a conference organised in 2012 in Paris as a homage to Michele Artigue, is based on the main component of this event. However, it offers more than a mere reflection of the conference in itself, as various well-known researchers from the field have been invited to summarize the main topics where the importance of Artigue's contribution is unquestionable. Her multiple interest areas, as a researcher involved in a wider community, give to this volume its unique flavour of diversity. Michele Artigue (ICMI 2013 Felix Klein Award, CIAEM 2015 Luis Santalo Award) is without doubt one of the most influential researchers nowadays in the field of didactics of mathematics. This influence rests both on the quality of her research and on her constant contribution, since the early 1970s, to the development of the teaching and learning of mathematics. Observing her exemplary professional history, one can witness the emergence, the development, and the main issues of didactics of mathematics as a specific research field.

A Volume in The Montana Mathematics Enthusiast: Monograph Series in Mathematics EducationSeries Editor Bharath Sriraman, The University of MontanaInterdisciplinarity is increasingly viewed as a necessary ingredient in the training of future oriented 21st century disciplinesthat rely on both analytic and synthetic abilities across disciplines. Nearly every curricular document or vision statement ofschools and universities include a call for promoting creativity in students. Yet the construct of creativity and giftednessacross disciplines remains elusive in the sense that the prototypical examples of such work come from eminent scientists, artists and mathematicians, and little if any work has been conducted with non-eminent individuals. This monograph is anattempt to fill this gap by putting forth the view that interdisciplinarity and creativity are related constructs, and that thecultivation of domain general creativity is possible. Mathematics has historically been anchored to numerous disciplineslike theology, natural philosophy, culture and art, allowing for a flexibility of thought that is difficult to cultivate in otherdisciplines. In this monograph, the numerous chapters from Australia, U.S.A., Canada, Cyprus, Denmark and Japanprovide a compelling illustration of the intricate connection of mathematics with literature, paradoxes, history, technologyand modeling, thus serving as a conduit for interdisciplinarity, creativity and learning to occur.

Unlock the mysteries of maths and discover the wonder of numbers. Readers will discover incredible information, such as why zero is so useful; what a googol really is; why music, maths and space are connected; why bees prefer hexagons; how to tell the time on other planets; and much much more. From marvellous measurements and startling shapes, to terrific theories and numbers in nature - maths has never been as amazing as this!

Structured around Bishop's six fundamental mathematical activities, this book brings together examples of mathematics education from a range of countries to help readers broaden their view on maths and its interrelationship to other aspects of life. Considering different educational traditions and diverse contexts, and illustrating theory through the use of real-life vignettes throughout, this book encourages readers to review, reflect on, and critique their own practice when conducting activities on explaining, counting, measuring, locating, designing, and playing. Aimed at early childhood educators and practitioners looking to improve the mathematics learning experience for all their students, this practical and accessible guide provides the knowledge and tools to help every child.

Die Slimkoppe-werkboeke vir graad 4 tot 6 dek die hele kurrikulum vir Afrikaans, Engels en Wiskunde. Elke boek is propvol kleurryke aktiwiteite wat kinders speel-speel hul taal-en wiskundevaardighede help oefen. Beskikbaar in Afrikaans en Engels.

Schofield & Sims Get Set Early Years is a comprehensive and engaging early years scheme that aims to bridge the gap between play and formal learning, helping all children to become school-ready by the end of Reception. Comprising twelve activity books and three accompanying teacher's guides, Get Set Early Years covers all the Early Learning Goals (ELGs) for Literacy, Mathematics and Understanding the world. Carefully designed to appeal to young children, each activity book page contains two stimulating activities for children to complete, such as matching, complete the picture, connect the dots, mazes, picture sequencing, colour by sound and odd one out. Additional features include a `Teaching Tip', `Notes for parents and carers' and `Key Vocabulary' and `Extension activity' sections to reinforce classroom learning. Get Set: Space and Measure introduces children to the many ways in which things can be measured. This book explores concepts such as big and small, over and under, near and far, long and short, light and heavy, and full and empty. A separate accompanying teacher's guide, Get Set Maths Teacher's Guide (ISBN 9780721714356), contains detailed teacher's notes, links to show corresponding pages in the activity book, and supporting photocopiable resources. A selection of free downloads, including a `Handwriting chart' and a `Learning diary', is also available from the Schofield & Sims website.

This open access book is based on selected presentations from Topic Study Group 21: Mathematical Applications and Modelling in the Teaching and Learning of Mathematics at the 13th International Congress on Mathematical Education (ICME 13), held in Hamburg, Germany on July 24-31, 2016. It contributes to the theory, research and teaching practice concerning this key topic by taking into account the importance of relations between mathematics and the real world. Further, the book addresses the "balancing act" between developing students' modelling skills on the one hand, and using modelling to help them learn mathematics on the other, which arises from the integration of modelling into classrooms. The contributions, prepared by authors from 9 countries, reflect the spectrum of international debates on the topic, and the examples presented span schooling from years 1 to 12, teacher education, and teaching modelling at the tertiary level. In addition the book highlights professional learning and development for in-service teachers, particularly in systems where the introduction of modelling into curricula means reassessing how mathematics is taught. Given its scope, the book will appeal to researchers and teacher educators in mathematics education, as well as pre-service teachers and school and university educators

In this engaging text, Michael Weiss offers an advanced view of the secondary mathematics curriculum through the prism of theory, analysis, and history, aiming to take an intellectually and mathematically mature perspective on the content normally taught in high school mathematics courses. Rather than a secondary mathematics textbook, Weiss presents here a textbook about the secondary mathematics curriculum, written for mathematics educators and mathematicians and presenting a long-overdue modern-day integration of the disparate topics and methods of secondary mathematics into a coherent mathematical theory. Areas covered include: Polynomials and polynomial functions; Geometry, graphs, and symmetry; Abstract algebra, linear algebra, and solving equations; Exponential and logarithmic functions; Complex numbers; The historical development of the secondary mathematics curriculum. Written using precise definitions and proofs throughout on a foundation of advanced content knowledge, Weiss offers a compelling and timely investigation into the secondary mathematics curriculum, relevant for preservice secondary teachers as well as graduate students and scholars in both mathematics and mathematics education.

How can early years practitioners help young children to become not only numerate but aspiring mathematicians who love numbers, shapes and mathematical comparisons? The introduction of the Foundation Stage has led to practitioners seeking ways to teach maths which are more in line with the creative and playful ways young children learn other subjects. Linda Pound draws on current thinking about children's mathematical development to show how you can encourage and enhance the numeracy skills of any child in the early years by linking maths to every-day life situations and making it a playful and enjoyable cross-curricular activity.This highly practical and engaging text includes chapters on: why maths is often seen as 'hard' and what practitioners can do to help young children be more successful; exploring shapes, space, measures and patterns; how to make maths more fun and playful, using games, humour, stories and rhymes; using music and dance to enhance mathematical understanding; encouraging children to see the connection between maths and everyday experiences through, for example sorting, matching and guessing; and, creating an environment for mathematical development, indoors and out. Concluding with a chapter on how practitioners and parents can become more confident in their use of maths, this user-friendly text, packed full of ideas, is essential reading for practitioners in any early years setting. Students on Early Education courses will also find much here to inspire them.

Kies slim vir ? skitterende toekoms! Slimkoppe-oefentoetse berei kinders voor op toetsskryf in die klas en help om hul uitslae te verbeter. Die boek bevat: Vier Wiskunde- en vier Afrikaanse toetse, plus al die antwoorde; Riglyne om vordering te assesseer en probleemareas te identifiseer; en Notas en wenke wat die leerproses ondersteun.

This amazing Functional Skills book for City & Guilds has everything students need to prepare for the Level 1 Maths test! It covers every topic and all the calculator and non-calculator skills needed for the latest L1 Functional Skills specifications. Everything's explained in CGP's easy-to-understand style, with examples and notes galore. Every topic is followed by a page of practice questions, so students can learn then test themselves as they go. We've also included exam-style practice papers with full answers so you'll know what to expect on the big day. Nice!

Trust TeeJay's proven approach, which successfully develops mathematical skills and adds fun to learning. This book provides hundreds of practice questions, with progression and consolidation - the core TeeJay philosophy - underpinning every exercise and chapter. - Use Book 3A followed by Book 3B to cover the entire Third Level curriculum - A Revision Chapter at the end of the book consolidates learning across the A and B books - Every chapter ends with 'The 3Rs' exercise so that pupils can Revisit, Review and Revise that topic - Extension work provides extra stretch for high-attaining pupils - Answers for all questions are in the back of the book; answers for 'The 3Rs' are available on the TeeJay Maths website

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.

This write-in Workbook is for Year 8 Foundation tier students. It supports Student Book 2A in the Discovering Mathematics series, with exercises split into the corresponding chapter sections. The series is adapted from the leading Singapore course to fully match the English Key Stage 3 National Curriculum. The Discovering Mathematics workbooks follow authentic mastery principles. Exercises incorporate 'intelligent practice', with careful variation of numbers to reinforce and deepen learning. Questions are differentiated into two levels: Level 1 for basic fluency practice and Level 2 for greater challenge, with additional integrated questions testing the student's ability to apply their learning. Problem-solving questions are identified throughout, and questions related to science and finance are clearly flagged to encourage students' connections of mathematical ideas across other subjects. The series also encourages use of ICT and research, with exploration exercises helping students to internalise concepts. This Workbook is designed to enable students to track their progress through a self-assessment checklist at the front. Short answers on the free accompanying website allow students to quickly identify and correct misconceptions. Fully-worked solutions containing GCSE grades are available to teachers on the accompanying Kerboodle digital resource to facilitate support with detailed workings.

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.

"...interesting and engaging...helps to diagnose areas of weakness and to fill those gaps" Sarah Clayton, primary teacher Boost the confidence of your children before SATs with this Maths Booster Workbook. With a mix of targeted practice and support, you can be sure that when it comes to the National tests you'll be ready for the real thing. This essential workbook includes: Skills checks and 'Top tips' provide the information you need to succeed 100s of practice questions covering key maths skills Progress chart to identify gaps in knowledge and then fill them! NB This product includes references to the related Year 6 Tests Book (ISBN 9781407183633).

Teaching mathematics is one of the most difficult and important jobs that anyone can do. Mathematics is a critical part of education and an essential building block for problem solving skills that are needed in the real world. However, many students struggle to learn and understand mathematical concepts and educators need to do everything possible to help our students learn. This book focuses on four areas necessary to be an impactful teacher of mathematics: Planning, Pedagogy, Assessment, and Relationships. For each of the ideas presented in the book, a brief introduction will be shared and then two different perspectives will be detailed with examples. The first is Not like This which is often the traditional way of teaching mathematics or the less effective approach. The second perspective is Teach Like This which is my recommended approach based upon research and my own experience as a teacher, math coordinator, and graduate instructor of math education.