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 8 contains practice questions, with room for working, on all the topics a student needs to cover in Steiner-Waldorf Class 8 (age 14-15). The book includes number bases, Pythagorean theorem, mensuration, percents and growth, and proportions and dimensional analysis. Note that this workbook is also available in a pack of ten with a teacher's answer booklet.

Students learning math are expected to do more than just solve problems; they must also be able to demonstrate their thinking and share their ideas, both orally and in writing. As many classroom teachers have discovered, these can be challenging tasks for students. The good news is, mathematical communication can be taught and mastered. In Teaching Students to Communicate Mathematically, Laney Sammons provides practical assistance for K-8 classroom teachers. Drawing on her vast knowledge and experience as a classroom teacher, she covers the basics of effective mathematical communication and offers specific strategies for teaching students how to speak and write about math. Sammons also presents useful suggestions for helping students incorporate correct vocabulary and appropriate representations when presenting their mathematical ideas. This must-have resource will help you help your students improve their understanding of and their skill and confidence in mathematical communication.

The series Mental Maths develops children's ability to understand number problems and to use their knowledge to resolve these problems confidently and logically. Mental Maths Book 2 covers: counting and ordering numbers to 100, patterns and sequences, counting money and calculating change, 2-D and 3-D shapes, tens and units; addition/subtraction of 2-digit numbers, time problems, estimating and measuring and multiples of 2/5/10.

The Knowledge Quiz series is a deviously simple and effective way for students to revise for GCSE subjects. Put together by teaching experts, these easy-to-use books feature tear-out quizzes to help students memorise the large body of knowledge that form the basis of success in exams.Rather than just flicking through revision cards expecting things to stick in your memory, self-quizzing allows students to complete multiple copies of the same quiz and kept doing them until you get them right every time. This edition will help students to effectively drill the essential facts necessary for success in the GCSE Foundation Maths exam.

The 2015 TIMSS Grade 9 study was administered in August 2015 by a team of researchers at the Human Sciences Research Council (HSRC) in collaboration with the Department of Basic Education (DBE) and the International Association for the Evaluation of Educational Achievement (IEA). This was the fifth time that South Africa has participated in TIMSS since 1995. In addition to the learner assessment data, the study also collected contextual information from learners, teachers and school principals, making it possible to explore the factors that are related to Grade 9 mathematics and science achievement. This report was written to provide some perspective about how the results of international assessments can be used to provide meaningful national insights. Sections of the report bring together the main findings based on descriptive, inferential and psychometric analysis of the data. The report concludes with recommendations of how the results relate to policy and practice for improving educational quality.

The 2015 TIMSS Grade 5 study was administered for the first time in South Africa in August 2015. The study was led by a team of researchers at the Human Sciences Research Council (HSRC) in collaboration with the Department of Basic Education (DBE) and the International Association for the Evaluation of Educational Achievement (IEA). Providing the first, nationally representative, internationally comparative compendium of data on Grade 5 learners in South Africa, the report is a new indicator of the health of our educational system. The analyses describe in detail the current picture of achievement for learners in the country, highlighting key individual, family, school and provincial differences. The results also include key developments concerning preschool attendance, early learning environments, as well as the importance of educational expectations and academic beliefs, and the damaging effects of bullying. The findings highlight the importance of early achievement and the need to understand the multiple layers of influence on educational pathways, with the conclusions and recommendations highlighting an unequal, yet treatable system. The Grade 5 study sits alongside the Grade 9 study which has been carried out in South Africa since 1995, recently completing its fifth round.

This CGP Workbook (including answers) is packed with practice questions for Key Stage Three Maths. It's ideal for students working at a foundation level, with a huge range of skill-building questions for every topic and answers at the back. A matching KS3 Maths Study Guide is also available - see 9781841460406.

Mental Arithmetic provides rich and varied practice to develop pupils' essential maths skills and prepare them for all aspects of the Key Stage 2 national tests. It may also be used as preparation for the 11+, and with older students for consolidation and recovery.Tailored to meet the requirements of the National Curriculum for primary mathematics, each book contains 36 one-page tests designed to build confidence and fluency and keep skills sharp. Each test is presented in a unique three-part format comprising: questions where use of language is kept to a minimum; questions using number vocabulary; questions focusing on one- and two-step word problems.Structured according to ability rather than age, the series allows children to work at their own pace, building confidence and fluency. Two Entry Tests are available in the Mental Arithmetic Teacher's Guide and on the Schofield & Sims website, enabling teachers, parents and tutors to select the appropriate book for each child. All the books can be used flexibly for individual, paired, group or whole-class maths practice, as well as for homework and one-to-one intervention.The Mental Arithmetic Introductory Book acts as a bridge from Key Stage 1, covering all four number operations, as well as sequences and simple money problems. Three Achievement Charts are also provided to monitor progress as pupils work through the book, while additional Just Facts questions provide further practice of key maths facts. A separate accompanying answer book, Mental Arithmetic Introductory Book Answers contains correct answers to all the questions, making marking quick and easy.

Murderous Maths: All Shapes and Sizes is full of facts, tricks and tips to help children discover why shapes are super and measurements are magic! Updated for the relaunch of the primary national curriculum in autumn 2014, children can learn all about tricky triangles, vicious circles, spangled angles and much more with simple explanations and hilarious characters to guide them through. Illustrated by Philip Reeve and presented in a bold, funky and accessible way so children can find out why maths is marvellous, a new generation of Kjartan Poskitt fans will be able to discover the world of Murderous Maths. Get ready to be amazed!

Matched to the demands of the National Curriculum and the new arithmetic tests at Key Stages 1 and 2, the Let's Do Arithmetic workbooks have been carefully devised to match the appropriate age and stage of your child. Each book contains 40 tests, which become progressively more challenging throughout to ensure progress can be made. With a recording chart for checking progress and full answers to aid your assessment, this book is the perfect way to test understanding of basic arithmetic concepts and prepare for the timed National Tests that your child will be encountering in school.

What makes the Mathematics Today course unique? Scaffolded revision tests at the end of each topic, allow for learners' to test their understanding of the topic; topic opener pages show key concepts and skills to be covered in the topic as per CAPS sufficient examples for learners to practice on; full colour book enhances visual understanding; definitions of all new mathematics terms are provided in keyword boxes; worked examples before each exercise, show learners how to go about answering exercises; the "How does this work?" feature explains difficult examples in greater detail. Trust Today to be up-to-date and fresh for the classroom: Opportunities for revision, exam practice and assessment throughout; develops language skills alongside subject knowledge; all content is fully CAPS-compliant. Your easy-to-use complete classroom solution! Today, for successful teaching tomorrow.

Ages: 7-11 Level: KS2 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.

Exam Board: SQA Level: Higher Subject: Maths First Teaching: 2018, First Exam: 2019 The Higher Maths Student Book helps teachers and students map their route through the CfE programme, providing comprehensive and authoritative guidance for the course. Full coverage of the new Higher course specifications with list of learning intentions Attractive layout with clear text features Key questions highlight crucial concepts and techniques that need to be grasped by students in order to progress to the next learning intention What the examiner/assessor is looking for to help teachers & students feel secure End of unit material - unit assessment, exam-style questions with worked answers and examiners commentary, self-assessment Student Books give a practical, supportive approach to help deliver the new curriculum and offer a blend of sound teaching and learning with assessment guidance.

Because fluency practice is not a worksheet. Fluency in mathematics is more than adeptly using basic facts or implementing algorithms. Real fluency involves reasoning and creativity, and it varies by the situation at hand. Figuring Out Fluency in Mathematics Teaching and Learning offers educators the inspiration to develop a deeper understanding of procedural fluency, along with a plethora of pragmatic tools for shifting classrooms toward a fluency approach. In a friendly and accessible style, this hands-on guide empowers educators to support students in acquiring the repertoire of reasoning strategies necessary to becoming versatile and nimble mathematical thinkers. It includes: "Seven Significant Strategies" to teach to students as they work toward procedural fluency. Activities, fluency routines, and games that encourage learning the efficiency, flexibility, and accuracy essential to real fluency. Reflection questions, connections to mathematical standards, and techniques for assessing all components of fluency. Suggestions for engaging families in understanding and supporting fluency. Fluency is more than a toolbox of strategies to choose from; it's also a matter of equity and access for all learners. Give your students the knowledge and power to become confident mathematical thinkers.

For years, the teaching and learning of fractions has been associated with rote memorization. But this mechanical approach to instruction-which strips students of an ability to reason or make sense of math-has resulted in a failure of understanding. Author Monica Neagoy, drawing on decades of research studies, evidence from teacher practice, and 25 years of experience working around the world with teachers, students, and parents, addresses seven big ideas in the teaching and learning of fractions in grades 2-6. Each idea is supported by a vignette from a real classroom, common misconceptions, a thorough unpacking of productive mathematical thinking, and several multistep and thought-provoking problems for teachers to explore. She offers three fundamental reasons why it's imperative for us to take a closer look at how we teach fractions: Fractions play a key role in students' feelings about mathematics. Fractions are fundamental to school math and daily life. Fractions are foundational to success in algebra. While a solid grounding in algebra is necessary for a STEM career, the worthy goal of "algebra for all" will not be possible until "fractions for all" is a reality. Unpacking Fractions provides teachers with concrete strategies for achieving that reality-in short, helping all students gain the knowledge they need to feel at ease with fractions.

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 6 contains practice questions, with room for working, on all the topics a student needs to cover in Steiner-Waldorf Class 6 (age 12-13). The book includes: Review topics from previous years: multiplication, short and long division, fractions, decimals, measurement, unit cost, factors, and estimating. New topics for Class 6: casting out nines, exponents (powers), square roots, divisibility, formulas, the imperial and metric systems, converting decimals to fractions, and fractions to decimals, angle measure, percents, mean/median/mode, pie charts, line graphs, area and perimeter, business maths (discount, profit, etc.,), ratios, rates (speed, wages), exchange rates and complex fractions. 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): multiplication, with selected facts from the 13 to 18 times tables and 25 times table; powers with base 2 to 5; fraction to decimal conversions; and maths tricks. Note that this workbook is also available in a pack of ten with a teacher's answer booklet.

In this important new book for pre- and in-service teachers, early math experts Douglas Clements and Julie Sarama show how learning trajectories help teachers become more effective professionals. By opening up new windows to seeing young children and the inherent delight and curiosity behind their mathematical reasoning, learning trajectories ultimately make teaching more joyous. They help teachers understand the varying level of knowledge and thinking of their classes and the individuals within them as key in serving the needs of all children. In straightforward, no-nonsense language, this book summarizes what is known about how children learn mathematics, and how to build on what they know to realize more effective teaching practice. It will help teachers understand the learning trajectories of early mathematics and become quintessential professionals.

The series Mental Maths develops children's ability to understand number problems and to use their knowledge to resolve these problems confidently and logically. Mental Maths Book 1 covers: counting and ordering numbers to 20, repeating patterns, recognising coins to GBP1, counting money and calculating change, number pairs, addition/subtraction, 'doubling' simple fractions, clock times, ordinal numbers and counting in 10s.

Heinemann Active Maths' bright and lively Pupil Books have been designed to further consolidate children's learning through independent practice. They are closely linked to the Teacher Activity Cards and each Heinemann Active Maths outcome. Each Pupil Book contains: 'I can...' statements to encourage self-assessment 'Rocket' questions to extend and challenge children's learning Teacher Activity Card references so you know which card the Pupil Book pages link to.

The whole-class mastery approach that works for every child. 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.

Improve mathematical skills and understanding with the only resource written specifically for the Caribbean region and published in association with City & Guilds. This resource is ideal for students, trainees and adults who desire to improve their mathematical skills whether in preparation for further education or for employment opportunities. - Thoroughly and systematically explore topics across each level with clear explanations, worked examples, tasks and test your knowledge multiple choice activities. - Focus your learning on the key concepts and strategies with learner tips and helpful reminders throughout. - Provides comprehensive coverage of all three certification levels, with content written by experienced examiners. - Get exam ready with clear objectives which indicate the skills to be developed and the area of the examination targeted. - Gain understanding of complex mathematical concepts with everyday transactional uses of mathematics.

Exam Board: SQA Level: National 5 Subject: Maths First Teaching: 2017, First Exam: 2018 The National 5 Applications of Maths Student Book helps teachers and students map their route through the CfE programme, providing comprehensive and authoritative guidance for the course. Full coverage of National 5 course specifications with list of learning intentions Attractive layout with clear text features Key questions highlight crucial concepts and techniques that need to be grasped by students in order to progress to the next learning intention What the examiner/assessor is looking for to help teachers & students feel secure Exam-style questions with worked answers and examiners commentary, self-assessment Student Books give a practical, supportive approach to help deliver the new curriculum and offer a blend of sound teaching and learning with assessment guidance.

This Teacher Guide covers all of first level, and is intended to be used alongside Textbooks 1A, 1B and 1C. It supports teachers in ensuring their pupils' conceptual understanding alongside procedural fluency, mastering maths at their own pace. It is the first Teacher Guide for Scotland completely aligned to the benchmarks. Primary Maths for Scotland first Level Teacher Guide is a planning and teaching support manual for delivering the entire first level numeracy and mathematics Curriculum for Excellence which can fit in with teachers' existing planning, resources and scheme of work. * Lots of support for planning and teaching * Packed with ideas for active learning * Identifies potential misconceptions and how to address them * Helps teachers save time with resource lists and key vocabulary * Clear layout for teachers to dip in and out and quickly reference content they need * Supports teachers' own CPD, with lots of information about teaching for mastery, using the concept, pictorial, abstract approach, and ensuring conceptual understanding alongside procedural fluency