This volume provides new insights on creativity while focusing on innovative methodological approaches in research and practice of integrating technological tools and environments in mathematics teaching and learning. This work is being built on the discussions at the mini-symposium on Creativity and Technology at the International Conference on Mathematical Creativity and Giftedness (ICMCG) in Denver, USA (2014), and other contributions to the topic. The book emphasizes a diversity of views, a variety of contexts, angles and cultures of thought, as well as mathematical and educational practices. The authors of each chapter explore the potential of technology to foster creative and divergent mathematical thinking, problem solving and problem posing, creative use of dynamic, multimodal and interactive software by teachers and learners, as well as other digital media and tools while widening and enriching transdisciplinary and interdisciplinary connections in mathematics classroom. Along with ground-breaking innovative approaches, the book aims to provide researchers and practitioners with new paths for diversification of opportunities for all students to become more creative and innovative mathematics learners. A framework for dynamic learning conditions of leveraging mathematical creativity with technology is an outcome of the book as well.

Spesifiek geskryf om aan al die vereistes van die nasionale Kurrikulum- en Assessering beleidsverklaring (KABV) te voldoen. Sleutelterme word in rooi gedruk as dit vir die eerste keer verskyn. ’n Lys van hierdie terme word ook in rooi aan die begin van elke eenheid of hoofstuk gelys. Nuwe woorde is in blou en word in die kantlyn verduidelik. Aktiwiteite help leerders om te verstaan wat hulle geleer het. 'n Opsomming aan die einde van elke onderwerp help leerders studeer. Die Formele Assesserings taak (FAT) blokkie bevat take wat leerders voorberei vir die wat in die klas voltooi moet word. Vrae aan die einde van elke onderwerp help leerders met hersiening. ‘n Voorbeeld van ‘n eksamenvraestel aan die einde van die boek sal leerders ook help oefen en leer oor alles wat hulle nodig het om te weet.

Spesifiek geskryf om aan al die vereistes van die nasionale Kurrikulum- en Assessering beleidsverklaring (KABV) te voldoen. Sleutelterme word in rooi gedruk as dit vir die eerste keer verskyn. ’n Lys van hierdie terme word ook in rooi aan die begin van elke eenheid of hoofstuk gelys. Nuwe woorde is in blou en word in die kantlyn verduidelik. Aktiwiteite help leerders om te verstaan wat hulle geleer het. 'n Opsomming aan die einde van elke onderwerp help leerders studeer. Die Formele Assesserings taak (FAT) blokkie bevat take wat leerders voorberei vir die wat in die klas voltooi moet word. Vrae aan die einde van elke onderwerp help leerders met hersiening. ‘n Voorbeeld van ‘n eksamenvraestel aan die einde van die boek sal leerders ook help oefen en leer oor alles wat hulle nodig het om te weet.

If you were a fraction, you be part of a whole. You could be part of a pizza or part of pie. You could be part of an apple or part of a pear. What else could you be if you were a fraction?

Combining research-based theory with fresh, practical guidance for the classroom, The Essential Guide to Secondary Mathematics is a stimulating new resource for all student and practising teachers looking for new ideas and inspiration. With an emphasis on exciting your mathematical and pedagogical passions, it focuses on the dynamics of the classroom and the process of designing and using rich mathematical tasks. Written by a highly experienced mathematics teacher who understands the realities of the secondary classroom, this book combines insights from the latest research into mathematical learning with useful strategies and ideas for engaging teaching. The text is punctuated by frequent tasks, some mathematical and others more reflective, which are designed to encourage independent thinking. Key topics covered include: Preparing yourself: thinking about mathematics and pedagogy, taking care of your health and dealing with stress Different styles of learning and teaching mathematics Ideas for lessons: what does it take to turn an idea into a lesson? Tasks, timings and resources Equality and dealing positively with difference Mathematical starters, fillers and finishers: achieving variety The mathematical classroom community: seating layouts, displays and practical considerations Assessment: effective strategies for responding to learners' mathematics and writing reports. The Essential Guide to Secondary Mathematics will be a valuable resource both for beginning teachers interested in developing their understanding, and for experienced teachers looking to re-evaluate their practice. Aiming to develop all aspects of your mathematics teaching, this book will help you to devise, adapt and implement ideas for successful and enjoyable teaching and learning.

The book is made up of 21 chapters from 25 presentations at the 23rd MAVI conference in Essen, which featured Alan Schoenfeld as keynote speaker. Of major interest to MAVI participants is the relationship between teachers' professed beliefs and classroom practice. The first section is dedicated to classroom practices and beliefs regarding those practices, taking a look at prospective or practicing teachers' views of different practices such as decision-making, the roles of explanations, problem-solving, patterning, and the use of play. The focus of the second section in this book deals with teacher change, which is notoriously difficult, even when the teachers themselves are interested in changing their practice. The third section of this book centers on the undercurrents of teaching and learning mathematics, what rises in various situations, causing tensions and inconsistencies. The last section of this book takes a look at emerging themes in affect-related research. In this section, papers discuss attitudes towards assessment.

Practitioner and teacher confidence in their own mathematical understanding is often low - the book helps the reader to recognise the mathematics taking place in children's play. Provides guidance on building on children's existing knowledge to introduce new concepts and address misconceptions linking mathematical development to other key aspects of early years pedagogy Explores the meaning of Mastery in depth and shows clearly what this looks like in children's play and continuous provision It is a practice based book - includes full colour photographs, case studies, links to practice and reflective questions It includes examples from the TFMM exemplification which show how to build on and extend children's mathematical development and learning - giving ideas for the adults role, the enabling environment and home learning

The book is a collection of problems in school mathematics specifically written for the teachers. It is an attempt to enrich prospective and current teachers with the deep knowledge of school mathematics and to develop their reasoning and proving skills. Also, it is supposed to help them to anticipate and analyze their students' errors and use them as teachable moments. The book is intended to be used in mathematics education courses (or professional development) for pre-service or in-service secondary school teachers. It can be used in graduate and undergraduate courses, in accordance with the orientations of different teacher preparation programs. Additionally, it can be used for the independent studies. One can also imagine situations in which teachers might use certain problems from this problem book directly in working with students, but this would constitute a supplementary use of the book.

Increase students' skills, confidence and chance of success in their National 5 Maths exam, with full course coverage delivered through the trusted TeeJay approach. This book provides hundreds of practice questions, with progression and consolidation - the core TeeJay philosophy - underpinning every exercise and chapter. - Use Book 4+, followed by Book N5, to cover the entire National 5 course - This book can be used alone as a freestanding N5 course in S5 or S6 for students that have covered the Fourth Level content - Chapter Zero revises all of the Fourth Level strands from Book 4+ - Every chapter ends with 'Remember Remember' exercises for revision and assessment - Every third chapter ends with 'Practice Makes Perfect' exercises that consolidate learning across those 3 chapters, plus cumulative exercises based on all chapters up to that point - Plenty of non-calculator exercises are included to enhance numeracy skills - Contains 2 Specimen Exam Papers - Answers for all questions are in the back of the book; answers for the 'Practice Makes Perfect' home exercises and Specimen Exam Papers are available on the TeeJay Maths website

This Complete Revision & Practice book is a superb all-in-one guide to 11+ Maths (for GL & other test providers)! There are crystal-clear study notes and step-by-step examples for each question type - plus a huge helping of questions to help pupils practise what they've learned for each topic. We've also included mixed-topic tests and two super-realistic Maths practice papers, so pupils will know just what to expect on the big day. There's no better way to prepare! What's more, we've thrown in a free Online Edition that lets you read the entire book on a PC, Mac or tablet - you'll have access via 'My Online Products' on the CGP website from the moment you place your order. When the book arrives, just use the unique code printed inside the cover to gain full access.

Underpinned by the most effective teaching practices, and created by a team of mastery experts led by Series Editor Tony Staneff, Power Maths is designed to make the whole-class mastery teaching approach work for you, your children and your school. The Power Maths Teacher Guides provide expert support for your day-to-day teaching, and offer opportunities for reflection and continual professional development. Provides guidance on using the Textbooks and Practice Books, explaining how they support a mastery approach. Support with key strategies such as modelling a growth mindset, assessing mastery, speedy same-day intervention, C-P-A approaches and using key mathematical structures and representations. Focused unit-level support for each mathematical concept within the Power Maths progression, including important structures and representations, key language, common misconceptions and intervention strategies. Specific advice and commentary for each pupil book page - including insight into why tasks and exercises have been selected, and how to strengthen and deepen learning. Templates for teacher reflection, lesson study, and tracking pupil progress.

This book is a brilliant source of test-style practice questions for Year 6 Maths pupils - all perfectly matched to the latest curriculum! There are questions for each topic, with space on each page for pupils to write their answers and any working out, plus mark schemes so that you can keep track of their progress. There are also Warm-Up Questions to get pupils started, and Greater Depth Questions to help them really master a topic. And there's more! We've included Objectives Tests at the start and end of the book, and Progress Tests to keep track of how pupils are getting on. You'll find answers to everything at the back. We also have a matching Year 6 Maths Targeted Study Book (9781847621931) - it's packed with clear study notes and examples to explain every topic!

This series has been endorsed by Cambridge Assessment International Education. Practise and consolidate knowledge gained from the Student's Book with this write-in workbook full of corresponding learning activities. - Save time when planning with ready-made homework or extension exercises. - Reinforce student's understanding of key mathematical concepts with varied question types, knowledge quizzes and the use of ICT. - Challenge learners with extra practice activities to encourage regular self-assessment.

This book is brimming with essential practice for children aged 10-11 taking the 11+ test set by CEM . The first section is focused on specific topics to develop understanding and confidence. This is followed by Assessment Tests that help to improve speed and accuracy across a wide range of questions. Fully explained answers to every question are included in a pull-out section, so it's easy to check children's progress and correct any mistakes. What's more, a free Online Edition of the whole book is included - just use the unique access code printed inside the cover to access it on a PC, Mac or tablet!

This open access book is the first major publication on the topic of "Interdisciplinary Mathematics Education" and arose from the work of the first International Topic Study Group of the same name at the ICME-13 conference in Hamburg in 2016. It offers extensive theoretical insights, empirical research, and practitioner accounts of interdisciplinary mathematics work in STEM and beyond (e.g. in music and the arts). Scholars and practitioners from four continents contributed to this comprehensive book, and present studies on: the conceptualizations of interdisciplinarity; implementation cases at schools and tertiary institutions; teacher education; and implications for policy and practice. Each chapter, and the book itself, closes with an assessment of the most significant aspects that those involved in policy and practice, as well as future researchers, should take into account.

This series has been endorsed by Cambridge Assessment International Education. Practise and consolidate knowledge gained from the Student's Book with this write-in workbook full of corresponding learning activities. Practise and consolidate knowledge gained from the Student's Book with this write-in workbook full of corresponding learning activities. - Save time when planning with ready-made homework or extension exercises. - Reinforce student's understanding of key mathematical concepts with varied question types, knowledge quizzes and the use of ICT. - Challenge learners with extra practice activities to encourage regular self-assessment.

This book intends to provide a comprehensive introduction to the status of development of Chinese mathematics education in the 21st century. To this end, the book summarizes and presents the research and practices of Chinese mathematics education in the following aspects: (1) characteristics of Chinese school mathematics curriculum and textbooks, (2) Chinese ways and strategies of teaching mathematics and the characteristics of mathematics classroom instruction in China, (3) Chinese instructional practices in developing (both gifted and underachieving) students' mathematical capabilities, (4) how professional development of mathematics teachers is promoted in China, including mathematics teachers' pre-service and in-service education, and how Chinese mathematics teachers design and implement teaching and research activities, and (5) how mathematics education is assessed and evaluated, including how to evaluate teachers' teaching and students' achievements. Relevant research in Chinese mathematics education involving methods of surveys, interviews, text analysis, etc., are reviewed and analyzed. Results of a number of video studies of Chinese mathematics classroom teaching and learning are also integrated into this book.

Designed to help you embed a more active approach to learning and develop children's mathematical thinking skills within relevant contexts, the guides help ensure your classroom is a Curriculum for Excellence classroom by: Making it happen: Planning support and matching charts aligned to the finalized experiences and outcomes Sharing practice: CD-ROM shows video clips of good practice Developing thinking skills: New problem-solving activities. The Delivering the Curriculum for Excellence Guides are available as part of the Complete Reference Packs, or to buy separately.

This superb CGP in-depth Student Book covers everything you need to succeed in Edexcel 9-1 GCSE Maths. It's packed with detailed, accessible notes, backed up with fully worked examples. Practice questions and exam-style questions are included throughout, complete with worked solutions. Each section is rounded off with a review exercise - perfect for recapping all of the content pupils have learnt. We've even included handy references to the Edexcel specification and learning objectives so you know exactly which bits of the spec are covered by each part of the book. A free Online Edition of the whole book is also included - just use the unique code printed inside the front cover to access it on a PC, Mac or tablet!

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