The full-colour printed Activity Book is powered by Cambridge HOTmaths, an online and interactive learning system for individual or classroom use. Purchase of this book includes one year's online access to Cambridge HOTmaths CAPS Edition as well as a downloadable Answer Key (see below under Supporting Materials) and Parent Guide. The CAPS-aligned Activity Book includes stimulating, colourful worksheets filled with targeted practice exercises to make learning Mathematics a fun activity. The Cambridge HOTmaths platform offers engaging lessons and examples, interactive walkthroughs that guide users in completing each activity, self-assessment exercises that provide instant feedback, a Mathematics dictionary, and Mathematics games.

This book is open access under a CC BY 4.0 license. The book presents the Proceedings of the 13th International Congress on Mathematical Education (ICME-13) and is based on the presentations given at the 13th International Congress on Mathematical Education (ICME-13). ICME-13 took place from 24th- 31st July 2016 at the University of Hamburg in Hamburg (Germany). The congress was hosted by the Society of Didactics of Mathematics (Gesellschaft fur Didaktik der Mathematik - GDM) and took place under the auspices of the International Commission on Mathematical Instruction (ICMI). ICME-13 brought together about 3.500 mathematics educators from 105 countries, additionally 250 teachers from German speaking countries met for specific activities. Directly before the congress activities were offered for 450 Early Career Researchers. The proceedings give a comprehensive overview on the current state-of-the-art of the discussions on mathematics education and display the breadth and deepness of current research on mathematical teaching-and-learning processes. The book introduces the major activities of ICME-13, namely articles from the four plenary lecturers and two plenary panels, articles from the five ICMI awardees, reports from six national presentations, three reports from the thematic afternoon devoted to specific features of ICME-13. Furthermore, the proceedings contain descriptions of the 54 Topic Study Groups, which formed the heart of the congress and reports from 29 Discussion Groups and 31 Workshops. The additional important activities of ICME-13, namely papers from the invited lecturers, will be presented in the second volume of the proceedings.

The full-colour printed Activity Book is powered by Cambridge HOTmaths, an online and interactive learning system for individual or classroom use. Purchase of this book includes one year's online access to Cambridge HOTmaths CAPS Edition as well as a downloadable Answer Key (see below under Supporting Materials) and Parent Guide. The CAPS-aligned Activity Book includes stimulating, colourful worksheets filled with targeted practice exercises to make learning Mathematics a fun activity. The Cambridge HOTmaths platform offers engaging lessons and examples, interactive walkthroughs that guide users in completing each activity, self-assessment exercises that provide instant feedback, a Mathematics dictionary, and Mathematics games.

This chunky CGP Textbook contains thousands of practice questions (with answers) comprehensively covering Foundation Level Grade 9-1 GCSE Maths! For each topic, there are worked examples that show students how to approach problems step-by-step, followed by a huge number of questions that build up in difficulty as they gain confidence. This book is also available as an Online Edition for PC, Mac and tablets - see 9781782944577.

Geometry: A Metric Approach with Models, imparts a real feeling for Euclidean and non-Euclidean (in particular, hyperbolic) geometry. Intended as a rigorous first course, the book introduces and develops the various axioms slowly, and then, in a departure from other texts, continually illustrates the major definitions and axioms with two or three models, enabling the reader to picture the idea more clearly. The second edition has been expanded to include a selection of expository exercises. Additionally, the authors have designed software with computational problems to accompany the text. This software may be obtained from George Parker.

This handbook connects the practice of statistics to the teaching and learning of the subject with contributions from experts in several disciplines. Chapters present current challenges and methods of statistics education in the changing world for statistics and mathematics educators. Issues addressed include current and future challenges in professional development of teachers, use of technology tools, design of learning environments and appropriate student assessments. This handbook presents challenging and inspiring international research perspectives on the history and nature, current issues, and future directions of statistics education and statistics education research.

Exam Board: Non-Specific Level: KS1 Subject: Maths First Teaching: September 2015 First Exam: Summer 2016 A workbook containing revision and practice questions to help prepare Year 2 children for the Key Stage 1, 2016 National Tests (SATs) in Mathematics.

This book builds on current and emerging research in distance learning, e-learning and blended learning. Specifically, it tests the boundaries of what is known by examining and discussing recent research and development in teaching and learning based on these modalities, with a focus on lifelong mathematics learning and teaching. The book is organized in four sections: The first section focuses on the incorporation of new technologies into mathematics classrooms through the construction or use of digital teaching and learning platforms. The second section presents a wide range of perspectives on the study and implementation of different tutoring systems and/or computer assisted math instruction. The third section presents four new innovations in mathematics learning and/or mathematics teacher education that involve the development of novel interfaces' for communicating mathematical ideas and analyzing student thinking and student work. Finally, the fourth section presents the latest work on the construction and implementation of new MOOCs and rich media platforms developed to carry out specialized mathematics teacher education.

This book adopts an interdisciplinary approach to investigate the development of mathematical reasoning in both children and adults and to show how understanding the learner's cognitive processes can help teachers develop better strategies to teach mathematics. This contributed volume departs from the interdisciplinary field of psychology of mathematics education and brings together contributions by researchers from different fields and disciplines, such as cognitive psychology, neuroscience and mathematics education. The chapters are presented in the light of the three instances that permeate the entire book: the learner, the teacher, and the teaching and learning process. Some of the chapters analyse the didactic challenges that teachers face in the classroom, such as how to interpret students' reasoning, the use of digital technologies, and their knowledge about mathematics. Other chapters examine students' opinions about mathematics, and others analyse the ways in which students solve situations that involve basic and complex mathematical concepts. The approaches adopted in the description and interpretation of the data obtained in the studies documented in this book point out the limits, the development, and the possibilities of students' thinking, and present didactic and cognitive perspectives to the learning scenarios in different school settings. Mathematical Reasoning of Children and Adults: Teaching and Learning from an Interdisciplinary Perspective will be a valuable resource for both mathematics teachers and researchers studying the development of mathematical reasoning in different fields, such as mathematics education, educational psychology, cognitive psychology, and developmental psychology.

Deck Ahoy! contains over 100 activities and games to teach primary maths skills with a deck of cards. Topics covered are not only the main operations - addition, subtraction, multiplication and division - but also fractions, statistics, time, ratios, squares and cubes and graphs. The ideas are great for homework as there are no worksheets needed (or marking to do!) and the whole family can get involved, any where any time.

The need to improve the mathematical proficiency of elementary teachers is well recognized, and it has long been of interest to educators and researchers in the U.S. and many other countries. But the specific proficiencies that elementary teachers need and the process of developing and improving them remain only partially conceptualized and not well validated empirically. To improve this situation, national workshops were organized at Texas A&M University to generate focused discussions about this important topic, with participation of mathematicians, mathematics educators and teachers. Developing Mathematical Proficiency for Elementary Instruction is a collection of articles that grew out of those exciting cross-disciplinary exchanges. Developing Mathematical Proficiency for Elementary Instruction is organized to probe the specifics of mathematical proficiency that are important to elementary teachers during two separate but inter-connected professional stages: as pre-service teachers in a preparation program, and as in-service teachers teaching mathematics in elementary classrooms. From this rich and inspiring collection, readers may better understand, and possibly rethink, their own practices and research in empowering elementary teachers mathematically and pedagogically, as educators or researchers.

This fantastic Functional Skills book has everything students need to prepare for the Level 2 Maths test! It covers every exam board and every topic, including all the calculator and non-calculator skills needed for the latest L2 Functional Skills specifications. Everything's explained in CGP's easy-to-understand style, with examples and notes galore. Each 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!

Ages: 5-7 Level: KS1 Subject: Maths Power Maths is a leading primary maths mastery scheme, developed in partnership with White Rose Maths. This edition is fully aligned with the new White Rose Maths schemes of learning (version 3.0) and has been updated in response to current mastery best practice and feedback from teachers. For children who are following either the Power Maths or White Rose Maths scheme, the Textbooks provide the key learning for each lesson throughout the curriculum. About: Each mathematical idea is introduced using an engaging real-life context. Clear and consistent mathematical representations help children make connections and build their understanding. Lovable characters model how to develop a growth mindset. This book can be used with the corresponding Practice Book and Teacher Guide.

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 materials -- 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 student's workbook for Class 7 contains practice questions, with room for working, on all the topics a student needs to cover in Steiner-Waldorf Class 7 (age 13-14). The book includes: Arithmetic review topics from previous years. New topics for Class 7: measurement, percents, ratios, rates, geometry, algebra, the square root algorithm. Mental maths: it is as important as ever for children to develop the ability to do calculations in their head. Each worksheet therefore begins with a secion on mental maths, focusing on one of our areas described in the Teacher's Source Book (available separately). Note that this workbook is also available in a pack of ten with a teacher's answer booklet.

The interaction of the history of mathematics and mathematics education has long been construed as an esoteric area of inquiry. Much of the research done in this realm has been under the auspices of the history and pedagogy of mathematics group. However there is little systematization or consolidation of the existing literature aimed at undergraduate mathematics education, particularly in the teaching and learning of the history of mathematics and other undergraduate topics. In this monograph, the chapters cover topics such as the development of Calculus through the actuarial sciences and map making, logarithms, the people and practices behind real world mathematics, and fruitful ways in which the history of mathematics informs mathematics education. The book is meant to serve as a source of enrichment for undergraduate mathematics majors and for mathematics education courses aimed at teachers.

Personal story telling is a powerful and interesting medium through which one can share experiences, insights, successes, and difficulties in meaningful contexts. Teaching in general, and mathematics teaching in particular, is much more than what meets the eye. Most people have only experienced teaching from the vantage point of a student and have impressions of teachers and teaching that are simplistic and usually totally incorrect. The lives of mathematics teachers are varied and contrary to what one might think they are. The journeys of exemplary in-service teachers are not linear; there are many bends, potholes, and detours through which they have navigated. The ""road conditions"" of teaching are fodder for the 12 untold stories collected in this volume, whose authors graduated from a special four-year undergraduate mathematics teacher preparation program, containing innovative components, many of which are revealed through the experiences described in their stories. The range of narratives vary in every possible way, from the reasons they became mathematics teachers, to the number of years teaching, to the experiences encountered while teaching, to the different roles they have assumed throughout their careers. Nevertheless, one strand permeates all of the stories: their passion for what they do and their ability to reflect on early college experiences that contribute to their performance. These inspiring narratives will shed light on the developmental processes of mathematics teachers, what it means to teach mathematics, and the components of a secondary mathematics teacher preparation program that can contribute to their expertise.

This book offers a detailed look into the how and what of mathematics instruction in Singapore. It presents multiple aspects of mathematics instruction in schools, ranging from the unique instructional core, practices that promote mastery, development of conceptual knowledge through learning experiences, nurturing of positive attitudes, self-regulation of learning and development and use of instructional materials for making connections across mathematical ideas, developing mathematical reasoning, and developing fluency in applying mathematical knowledge in problem solving.The book presents a methodology that is successful in documenting classroom instruction in a comprehensive manner. The research findings illuminate instruction methods that are culturally situated, robust and proven to impact student learning. It demonstrates how a unique data source can be analysed through multiple lenses and provides readers with a rich portrait of how the school mathematics instruction is enacted in Singapore secondary schools.

Is the most important language in the universe also capable of making us happy in simple and profound ways? Can we really weave the foundations of lifelong joy-humility, gratitude, connection, etc.-through the apparent complexity of numbers? Have we oversold the practicality of mathematics, while ignoring its larger and more human purposes-happiness? In Pi of Life: The Hidden Happiness of Mathematics, Sunil Singh takes the readers on a unique adventure, discovering that all the elements that are essential for lifelong happiness are deeply intertwined with the magic of mathematics. Blending classic wisdom with over 100 pop culture references-music, television and film-Singh whimsically switches the lens in this book from the traditional society teaching math to a new and bold math teaching society. Written with charming buoyancy and intimacy, he takes us on an emotional and surprising journey through the deepest goldmine of mathematics-our personal happiness.

This book discusses a significant area of mathematics education research in the last two decades and presents the types of semiotic theories that are employed in mathematics education. Following on the summary of significant issues presented in the Topical Survey, Semiotics in Mathematics Education, this book not only introduces readers to semiotics as the science of signs, but it also elaborates on issues that were highlighted in the Topical Survey. In addition to an introduction and a closing chapter, it presents 17 chapters based on presentations from Topic Study Group 54 at the ICME-13 (13th International Congress on Mathematical Education). The chapters are divided into four major sections, each of which has a distinct focus. After a brief introduction, each section starts with a chapter or chapters of a theoretical nature, followed by others that highlight the significance and usefulness of the relevant theory in empirical research.

Arithmetic Ninja for Ages 10-11 is the essential photocopiable maths resource for every Year 6 classroom from Andrew Jennings, the creator of Vocabulary Ninja, Comprehension Ninja and Write Like a Ninja. Split into 38 weeks, this book features over 680 question cards and is fully aligned to the Key Stage 2 National Curriculum for mathematics. With activities for each day of the week plus a bonus challenge, this book is the perfect resource for daily maths practice and quick lesson starters. The exercises in this book get progressively harder each week, and are divided into three Ninja levels to ensure differentiation. There are answers at the back to help with marking and cutting lines on each page so the activities can easily be cut out and stuck in exercise books. Perfect for SATs preparation, the multiplication tables check and mental maths practice, this book is ideal for busy primary teachers who only want to visit the photocopier once a week. The resources are flexible and high-quality, and will ensure all pupils are maths Ninjas by the end of the year. For more must-have Ninja books by Andrew Jennings (@VocabularyNinja), check out Vocabulary Ninja, Comprehension Ninja, Write Like a Ninja and Times Tables Ninja.