The Key Stage 2 Maths series covers mathematical technique for SATs, GL Assessment and CEM 11+ exams, CATs, the Northern Ireland Transfer Test, Common Entrance and scholarship examinations for independent schools, and all other styles of mathematical test. This series of books is designed to be used in sequence from Workbook 1 onwards. The workbook series is complemented by testbooks that reinforce a child's mathematical technique and knowledge, and testpacks for final exam preparation. Answers, Progress Charts and a Certificate of Achievement are included at the end of every book. All our materials have been rigorously classroom tested. The methodologies have been successfully used in AE Tuition classes for over 20 years.

Each test should take about 15 minutes, however it is more important that a child completes the test accurately and does not rush their answers. Children will speed up naturally with practice. These tests extend children's learning beyond their expected age-related National Curriculum standard. The testbook provides practice for SATs, GL Assessment and CEM 11+ exams, CATs, the Northern Ireland Transfer Test, Common Entrance and scholarship examinations for independent schools, and all other styles of mathematical test. The testbooks are designed to be used in conjunction with the KS2 Maths workbooks as an additional learning tool. After completion, the maths testpack should be used for final exam preparation. Answers, Progress Charts and a Certificate of Achievement are included at the end of the book. All our materials have been rigorously classroom tested. The methodologies have been successfully used in AE Tuition classes for over 20 years.

This text provides thorough coverage of algebra and number, carefully graded exercises to give pupils all the practice they need, and clear explanations of mathematical ideas to help understand them.

In this volume, the authors address the development of students' algebraic thinking in the elementary and middle school grades from curricular, cognitive, and instructional perspectives. The volume is also international in nature, thus promoting a global dialogue on the topic of early Algebraization.

Inquiry is becoming more and more an area of interest for educators. This book attempts to explain why math inquiry makes sense, what pieces are required to do math inquiry effectively (the knowledge, skills and dispositions), and then provides a series of day-by-day lesson plans.

This book is about the role and potential of using digital technology in designing teaching and learning tasks in the mathematics classroom. Digital technology has opened up different new educational spaces for the mathematics classroom in the past few decades and, as technology is constantly evolving, novel ideas and approaches are brewing to enrich these spaces with diverse didactical flavors. A key issue is always how technology can, or cannot, play epistemic and pedagogic roles in the mathematics classroom. The main purpose of this book is to explore mathematics task design when digital technology is part of the teaching and learning environment. What features of the technology used can be capitalized upon to design tasks that transform learners' experiential knowledge, gained from using the technology, into conceptual mathematical knowledge? When do digital environments actually bring an essential (educationally, speaking) new dimension to classroom activities? What are some pragmatic and semiotic values of the technology used? These are some of the concerns addressed in the book by expert scholars in this area of research in mathematics education. This volume is the first devoted entirely to issues on designing mathematical tasks in digital teaching and learning environments, outlining different current research scenarios.

This volume contains the proceedings of the International Workshop on Operator Theory and Applications held at the University of Algarve in Faro, Portugal, September 12-15, in the year 2000. The main topics of the conference were !> Factorization Theory; !> Factorization and Integrable Systems; !> Operator Theoretical Methods in Diffraction Theory; !> Algebraic Techniques in Operator Theory; !> Applications to Mathematical Physics and Related Topics. A total of 94 colleagues from 21 countries participated in the conference. The major part of participants came from Portugal (32), Germany (17), Israel (6), Mexico (6), the Netherlands (5), USA (4) and Austria (4). The others were from Ukraine, Venezuela (3 each), Spain, Sweden (2 each), Algeria, Australia, Belorussia, France, Georgia, Italy, Japan, Kuwait, Russia and Turkey (one of each country). It was the 12th meeting in the framework of the IWOTA conferences which started in 1981 on an initiative of Professors 1. Gohberg (Tel Aviv) and J. W. Helton (San Diego). Up to now, it was the largest conference in the field of Operator Theory in Portugal.

This engaging book offers an in-depth introduction to teaching mathematics through problem-solving, providing lessons and techniques that can be used in classrooms for both primary and lower secondary grades. Based on the innovative and successful Japanese approaches of Teaching Through Problem-solving (TTP) and Collaborative Lesson Research (CLR), renowned mathematics education scholar Akihiko Takahashi demonstrates how these teaching methods can be successfully adapted in schools outside of Japan. TTP encourages students to try and solve a problem independently, rather than relying on the format of lectures and walkthroughs provided in classrooms across the world. Teaching Mathematics Through Problem-Solving gives educators the tools to restructure their lesson and curriculum design to make creative and adaptive problem-solving the main way students learn new procedures. Takahashi showcases TTP lessons for elementary and secondary classrooms, showing how teachers can create their own TTP lessons and units using techniques adapted from Japanese educators through CLR. Examples are discussed in relation to the Common Core State Standards, though the methods and lessons offered can be used in any country. Teaching Mathematics Through Problem-Solving offers an innovative new approach to teaching mathematics written by a leading expert in Japanese mathematics education, suitable for pre-service and in-service primary and secondary math educators.

Reinforce grade-level, standards-based math skills with this collection of 100 eye-catching, reproducible practice pages. The pages can be used any time students need to work independently and are formatted to boost motivation and fun. The perfect way to support students who need extra practice with numbers and counting, place value, addition, subtraction, time, measurement, shapes, graphs, and more!

Who doesn't love a mystery? Students will have a blast reading the adventures of kid detectives Zara and Mendel and their dog, Digit, and helping them solve intriguing math puzzlers along the way. In this collection of comical mysteries, students meld reading strategies, such as text marking, with essential math skills to tackle real-world problems. A delightful way to practice whole-number computation, fractions, measurement, geometry, algebraic reasoning, and so much more!

This book offers an introduction to descriptive and inferential statistics tailored to the teaching and research needs of K-8 educators. Using statistics to tell a story, veteran teacher educator Robert Rosenfeld pushes readers away from simply performing a calculation to truly understanding the statistical concepts themselves. In addition to helping educators develop this statistical habit of mind, Rosenfeld also focuses on developing an understanding of the statistics in published research and on interpreting school data, which can be applied in school assessment and educational research. Features of this must-read resource include: Numerous exercises and activities throughout that are related specifically to the world of educators and are designed to foster conversation and small group discussion. Connections drawn between statistics and the regular mathematics curriculum to aid teachers who do classroom-based action research. A section covering the basic concepts of standardized tests, such as summative versus formative assessment, and standards-based versus norm-referenced tests. Accessibly written and conversational in tone, Statistics for K-8 Eductors provides the technical foundation to help teachers make good sense of quantitative information connected to their classrooms and to their schools.

Most probability problems involve random variables indexed by space and/or time. These problems almost always have  a version in which space and/or time are taken to be discrete. This volume deals with areas in which the discrete version is more natural than the continuous one, perhaps even the only one than can be formulated without complicated constructions and machinery. The 5 papers of this volume discuss problems in which there has been significant progress in the last few years; they are motivated by, or have been developed in parallel with, statistical physics. They include questions about asymptotic shape for stochastic growth models and for random clusters; existence, location and properties of phase transitions; speed of convergence to equilibrium in Markov chains, and in particular for Markov chains based on models with a phase transition; cut-off phenomena for random walks. The articles can be read independently of each other. Their unifying theme is that of models built on discrete spaces or graphs. Such models are often easy to formulate. Correspondingly, the book requires comparatively little previous knowledge of the machinery of probability.

Primary Maths for Scotland Textbook 2C is the third of 3 second level textbooks. These engaging and pedagogically rigorous books are the first maths textbooks for Scotland completely aligned to the benchmarks and written specifically to support Scottish children in mastering mathematics at their own pace. Primary Maths for Scotland Textbook 2C is the third of 3 second level textbooks. The books are clear and simple with a focus on developing conceptual understanding alongside procedural fluency. They cover the entire second level mathematics Curriculum for Excellence in an easy-to-use set of textbooks which can fit in with teacher's existing planning, resources and scheme of work. - Packed with problem-solving, investigations and challenging problems - Diagnostic check lists at the start of each unit ensure that pupils possess the required pre-requisite knowledge to engage on the unit of work - Worked examples and non-examples help pupils fully understand mathematical concepts - Includes intelligent practice that reinforces pupils' procedural fluency

An activity book to learn mathematics with fun. Target audience 5/9 years. Inside: Additions, subtractions, multiplications, divisions, logic and problem solving. In addition 8 pages of stickers to complete games.This is a volume with good contents in simple but qualitative format.

The Little Library Numeracy Kit is an updated, OBE version of The Little Library Maths Kit. The Maths Kit, which is well known and much loved by teachers, has been successfully used in schools for the last 10 years. This new Numeracy Kit contains 60 readers (five copies of 12 story books), plus a big book of each story for class reading, 12 colourful posters and a new Teacher's Guide which provides helpful ideas for teaching each story. It keeps seven of the best stories from the Reading Kit and introduces five new ones - all of them trialled in classrooms around the country.

This book collects recent research on posing and solving mathematical problems. Rather than treating these two crucial aspects of school mathematics as separate areas of study, the authors approach them as a unit where both areas are measured on equal grounds in relation to each other. The contributors are from a vast variety of countries and with a wide range of experience; it includes the work from many of the leading researchers in the area and an important number of young researchers. The book is divided in three parts, one directed to new research perspectives and the other two directed to teachers and students, respectively.

This fantastic Functional Skills book for Edexcel has everything students need to prepare for the Level 2 Maths test! It covers every topic and 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. 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!

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.