Provide careful and structured practice in maths mastery for children at home or school, covering all concepts that would be covered in class. -Embed and consolidate conceptual understanding. -Dig deeper into mathematical concepts through intelligent practice. -Provide structure and clarity with a write in, levelled book.

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.

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.

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.

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.

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.

Arithmetic Ninja for Ages 9-10 is the essential photocopiable maths resource for every Year 5 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.

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.

Learn all about fractions with Mo the Monster and his friends in these fun first maths books for children aged 5 and up. Mo and his mum are going shopping today! Mo is very distracted by all the lovely things to buy (especially the cake), but manages to learn about sets, halves, thirds and quarters, and how fractions work, during his day out. But when he's busy eating pizza with Slippery Sid, his mum disappears. Help! How can you find her Mo? If a monster can understand maths, anyone can! Join Mo the Monster as he discovers the basic principles of maths, from what a fraction is, to what 3D shapes are to how to multiply BIG numbers. Along the way, Mo is kept focused (monsters are notoriously easily distracted) with the help of simple, clearly presented information, plenty of questions to answer and lots of maths puzzles and activities. The funny, colourful illustrations offer lots of scope for humour and interest to keep children engaged while they learn. Aimed at readers aged 5+. Titles in the series: Addition & Subtraction/Geometry/Division/Fractions/Measuring/Multiplication Contents: One half Find half of a set Mixed numbers One quarter Quarter turns Halves and quarters Thirds Fractions that make wholes Greater than or less than Fractions of small numbers Equivalence Tenths Twelfths Glossary Answers

This superb in-depth Student Book is ideal for Year 7 Maths students and perfect for independent study! It's packed with detailed, accessible notes, backed up with fully worked examples. Each section starts with a prior knowledge check and is rounded off with a review exercise - just the thing for recapping all of the content students have learnt. Plenty of practice questions, including challenge questions, are included throughout, complete with worked solutions. We've even included learning objectives for each topic, a glossary and a topic map to show which topics appear in each KS3 book. 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. Looking for more unbeatable Year 7 Maths practice? Check out our Year 7 Targeted Workbook (9781789083163) and Year 7 Weekly Workouts (9781789085747).

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?