Educational: Mathematics and numeracy

Book SynopsisLet's face it, teaching secondary math can be hard. So much about how we teach math today may look and feel different from how we learned it. Teaching math in a student-centered way changes the role of the teacher from one who traditionally delivers knowledge to one who fosters thinking. Most importantly, we must ensure our practice gives each and every student the opportunity to learn, grow, and achieve at high levels, while providing opportunities to develop their agency and authority in the classroom which results in a positive math identity. Whether you are a brand new teacher or a veteran, if you find teaching math to be quite the challenge, this is the guide you want by your side. Designed for just-in-time learning and support, this practical resource gives you brief, actionable answers to your most pressing questions about teaching secondary math. Written by four experienced math educators representing diverse experiences, these authors offer the practical advice they wish they received years ago, from lessons they've learned over decades of practice, research, coaching, and through collaborating with teams, teachers and colleaguesespecially new teachersevery day. Questions and answers are organized into five areas of effort that will help you most thrive in your secondary math classroom: How do I build a positive math community? How do I structure, organize, and manage my math class? How do I engage my students in math? How do I help my students talk about math? How do I know what my students know and move them forward? Woven throughout, you'll find helpful sidebar notes on fostering identity and agency; access and equity; teaching in different settings; and invaluable resources for deeper learning. The final questionWhere do I go from here? offers guidance for growing your practice over time. Strive to become the best math educator you can be; your students are counting on it! What will be your first step on the journey?Trade ReviewThe most effective secondary mathematics teachers are likely to have a ragged, well-loved copy of Answers to Your Biggest Questions About Teaching Secondary Math on their desks. This book synthesizes decades of research that supports strong student learning outcomes and distills it into practical, easy-to-implement recommendations for teachers. New and experienced teachers alike will find new and important ideas that can be used immediately to strengthen their practice and increase engagement with their mathematics learners. -- Michael D. Steele * Zionsville, IN *Whether you are an aspiring, beginning, or experienced teacher of mathematics, the authors have put together an indispensable book that will become your most dog-eared professional resource. Combining findings from the literature with their extensive experience as teachers, the authors answer some of the most frequently asked questions in five critical domains of effective mathematics teaching. This is the resource I wish I had when I was teaching! -- Matt Larson * Lincoln, NE *This book answers key questions essential to setting up a classroom environment where students thrive using practical examples, tips, suggestions, and addressing frequently asked questions. This is a great handbook for any new teacher trying to figure it all out. -- Chonda Long * Springfield, VA *Answers to Your Biggest Questions About Teaching Secondary Math provides an excellent resource for new math teachers and veteran teachers alike. The advice is practical and written such that strategies for increasing access and equity in mathematics can be implemented at any time of the year. The book centers students as doers of mathematics and gives the reader easy-to-read advice for how to promote a discourse-centered classroom where every student can be successful in mathematics. -- Emma Vierheller * Perrysburg, OH *The authors of Answers to Your Biggest Questions About Teaching Secondary Math are to be commended for writing this important book. How I wish I would have had such a resource when I began my career as a high school mathematics teacher. This book covers the why and the how of creating equitable mathematics classrooms from the very beginning. I also appreciate the strong focus on agency and identity. This book is a must-have for new secondary mathematics teachers. Experienced teachers will also find a wealth of resources for improving mathematics instruction. -- Kyndall Brown * Los Angeles, CA *I highly recommend Answers to Your Biggest Questions About Teaching Secondary Math for current teachers, preservice teachers, instructional leaders and administrators as a guide to embodying foundational truths about mathematics, including that every student is capable of developing deep mathematical understanding and contributing to the knowledge of the classroom community. Readers will be drawn to the insightful tips, concrete content examples, and helpful tables, which illuminate strategies and beliefs to thrive. Add this book to your shelf today! -- Sarah Bush * Winter Park, FL *Answers to Your Biggest Questions About Teaching Secondary Math is a must for every teacher of mathematics! This is a resource filled with practical guidance, accessible resources, and opportunities to reflect on your teaching journey. Whether you are just starting your journey or far into that journey, keep this book with you throughout and enjoy the journey! -- Trena L. Wilkerson * Waco, TX *Answers to Your Biggest Questions About Teaching Secondary Math is a fabulous tour de force of the big ideas in teaching mathematics that will enable preservice and in-service teachers to optimize their teaching practices and to maximize the opportunity to learn for all students. It is the most practical condensation of recommendations for the teaching of mathematics to date. -- J. Michael Shaughnessy * Portland, OR *Answers to Your Biggest Questions About Teaching Secondary Math is an invaluable distillation of the most current, research-based best practices with practical strategies for implementing them. Written by classroom teachers, for classroom teachers, this book belongs on the shelf of every secondary math teacher. -- Jason Slowbe * Temecula, CA *Answers to Your Biggest Questions About Teaching Secondary Math is a musthave for every new and early career teacher and a great resource for those who are experienced. The wealth of knowledge and strategies shared here make this an invaluable resource and will positively impact student learning. I wish I had this when I started teaching middle school 25+ years ago! -- Kevin Dykema * Mattawan, MI *This book is incredibly helpful to understand key ideas and practices for new international teachers. The book gives a very efficient and easy-to understand overview of critical questions a teacher can have while teaching high school mathematics. As a mathematics educator, I would definitely recommend this book to my senior mathematics teachers, reading and reflecting on the questions in the book will support their readiness and transition into being a teacher. -- Zuhal Yilmaz * Riverside, CA *Answers to Your Biggest Questions About Teaching Secondary Math employs a strengths-based approach to promote high-quality secondary mathematics teaching. The authors draw from a wealth of experiences to offer practitioners activities and resources to engage students in the mathematics teaching and learning dynamic. This book is an invaluable resource for advancing accessible approaches to bolster student agency in mathematics classrooms. -- Christopher C. Jett * Carrollton, GA *Answers to Your Biggest Questions About Teaching Secondary Math provides guidance to middle and high school teachers who are trying to change the nature of the way math is taught and learned in their classrooms. From how to build a classroom community to how to assess and advance student learning, the five key questions focus on essential elements required to create an environment in which each and every student can flourish. The practical advice provided reflects the cumulative experience and wisdom of the author team and is sure to resonate with teachers. -- Margaret (Peg) S. Smith * Pittsburg, PA *Teaching is complex! This book helps break that complexity into manageable approaches. As someone who has been leading professional development for over 20 years, this book helped me consider new and important ways to think about common questions and dilemmas teachers encounter every day. If your focus is on developing a more equitable classroom then this book is for you! -- Jen Mossgrove * Moorestown, NJ *This book does an excellent job formalizing a comprehensive approach to creating an environment in the mathematics classrooms that promotes equity, access, and a voice to all learners. I highly recommend this book to all mathematics teachers— beginning and experienced—and teacher educators, as it provides a blueprint for effective mathematics instruction. -- Nadia Monrose Mills * St. Thomas, VI *

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Book SynopsisA new series of bespoke, full-coverage resources developed for the 2015 GCSE Mathematics qualifications. Endorsed for the OCR J560 GCSE Mathematics Higher tier specification for first teaching from 2015, this Problem-solving Book contains a variety of questions for students to develop their problem-solving and reasoning skills within the context of the new GCSE curriculum. Suitable for all Higher tier students, this resource will stretch the more able and provide support to those who need it. Questions with worked solutions will help students develop the reasoning, interpreting, estimating and communication skills required to help them effectively solve problems. Encouraging progression by promoting higher-level thinking, our Problem-solving Books will help prepare students for further study.Table of ContentsIntroduction; Problem-solving strategies: 1. Draw a diagram; 2. I can't do that, but I can do this; 3. Adding lines; 4. Solve a simpler problem; 5. Make changes to the problem; 6. Do you recognise the problem?; 7. What is a sensible answer?; 8. It depends how you look at it; 9. Work systematically; 10. If you don't know what to do, do something; Worked solutions: 1. Draw a diagram; 2. I can't do that, but I can do this; 3. Adding lines; 4. Solve a simpler problem; 5. Make changes to the problem; 6. Do you recognise the problem?; 7. What is a sensible answer?; 8. It depends how you look at it; 9. Work systematically; 10. If you don't know what to do, do something.

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Book SynopsisA new series of bespoke, full-coverage resources developed for the 2015 GCSE Mathematics qualifications. Endorsed for the OCR J560 GCSE Mathematics Foundation tier specification for first teaching from 2015, this Problem-solving Book contains a variety of questions for students to develop their problem-solving and reasoning skills within the context of the new GCSE curriculum. Suitable for all Foundation tier students, this resource will stretch the more able and provide support to those who need it. Questions with worked solutions will help students develop the reasoning, interpreting, estimating and communication skills required to help them effectively solve problems. Encouraging progression by promoting higher-level thinking, our Problem-solving Books will help prepare students for further study.Table of ContentsIntroduction; Problem-solving strategies: 1. Draw a diagram; 2. I can't do that, but I can do this; 3. Adding lines; 4. Solve a simpler problem; 5. Make changes to the problem; 6. Do you recognise the problem?; 7. What is a sensible answer?; 8. It depends how you look at it; 9. Work systematically; 10. If you don't know what to do, do something; Worked solutions: 1. Draw a diagram; 2. I can't do that, but I can do this; 3. Adding lines; 4. Solve a simpler problem; 5. Make changes to the problem; 6. Do you recognise the problem?; 7. What is a sensible answer?; 8. It depends how you look at it; 9. Work systematically; 10. If you don't know what to do, do something.

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Book SynopsisThis title forms part of the completely new Mathematics for the IB Diploma series. This highly illustrated book covers topic 10 of the IB Diploma Higher Level Mathematics syllabus, the optional topic Discrete Mathematics. It is also for use with the further mathematics course. Based on the new group 5 aims, the progressive approach encourages cumulative learning. Features include: a dedicated chapter exclusively for mixed examination practice; plenty of worked examples; questions colour-coded according to grade; exam-style questions; feature boxes throughout of exam hints and tips.Table of ContentsFor students studying either the mathematics higher level course or further mathematics, this book covers all the material in the Discrete Mathematics option (option number 10) in print. This highly illustrated book is based on the new group 5 aims forms part of the completely new Mathematics for the IB Diploma series, Cambridge's comprehensive coverage of IB diploma mathematics for then 2012 SL and HL courses. Features include: a sections of mixed examination questions; plenty of worked examples; questions colour-coded according to grade; exam-style questions; feature boxes of hints and tips. Written to specifically cover the new IB Higher Level option in Discrete Mathematics, it is a fantastic guide to the material in this option, no matter which book is being used to cover the core material.

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Book SynopsisA subject-specific guide for teachers to supplement professional development and provide resources for lesson planning. Approaches to learning and teaching Mathematics is the result of close collaboration between Cambridge University Press and Cambridge International Examinations. Considering the local and global contexts when planning and teaching an international syllabus, the title presents ideas for Mathematics with practical examples that help put theory into context. Teachers can download online tools for lesson planning from our website. This book is ideal support for those studying professional development qualifications or international PGCEs.Table of Contents1. Introduction; 2. Purpose and context of the book; 3. The nature of Mathematics; 4. Key considerations; 5. Interpreting a syllabus; 6. Active learning; 7. Assessment to Learning; 8. Metacognition; 9. Language awareness; 10. Inclusive Education; 11. Teaching with digital technologies; 12. Global thinking; 13. Reflective practice and pathways; 14. Measuring Student Impact; 15. Recommended Reading; 16. Index.

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Book SynopsisEngage students in mathematics using growth mindset techniques The most challenging parts of teaching mathematics are engaging students and helping them understand the connections between mathematics concepts. In this volume, you'll find a collection of low floor, high ceiling tasks that will help you do just that, by looking at the big ideas at the kindergarten-grade level through visualization, play, and investigation. During their work with tens of thousands of teachers, authors Jo Boaler, Jen Munson, and Cathy Williams heard the same messagethat they want to incorporate more brain science into their math instruction, but they need guidance in the techniques that work best to get across the concepts they needed to teach. So the authors designed Mindset Mathematics around the principle of active student engagement, with tasks that reflect the latest brain science on learning. Open, creative, and visual math tasks have been shown to improve student test scores, and more importantlyTable of ContentsIntroduction 1 Low-Floor, High-Ceiling Tasks 2 Youcubed Summer Camp 3 Memorization versus Conceptual Engagement 4 Mathematical Thinking, Reasoning, and Convincing 5 Big Ideas 9 Structure of the Book 9 A Note on the Structure of Kindergarten 15 Note on Materials 17 Manipulatives and Materials Used in This Book 17 Big Idea 1: Understanding the Physical Quantity of Number 21 Count a Collection 23 How Many Do You See? 30 Making a Counting Book 40 Big Idea 2: Using Fingers as Numbers 47 Feeling Fingers 49 Show Me with Your Fingers 64 Hand Mirrors 70 Big Idea 3: Talking about and Making Shapes 77 Talking about Shapes 79 Make a Shape 93 Building Blocks 97 Big Idea 4: Seeing Numbers inside of Numbers 103 Dot Talks 105 Snap It! 118 Which is More? 123 Big Idea 5: Putting Numbers Together 135 Growing Bigger and Bigger 137 Roll the Dice 144 Foot Parade 151 Big Idea 6: Describing and Sorting Objects 159 Sorting Supplies 161 Sorting Emojis 168 Sorting Buttons 174 Big Idea 7: Seeing and Making Patterns Everywhere 181 A World of Patterns 184 DIY Patterns 195 Kinder Dance Party 200 Big Idea 8: Stretching Counting toward 100 205 Counting Larger Collections 207 Making a Collection 213 Hundred Chart Patterns 219 Appendix 231 About the Authors 235 Acknowledgments 237 Index 239

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Book SynopsisREVISE 11+ is the smart choice for 11+ Maths preparation. This Assessment Book: Provides realistic exam practice so that learners can apply their skills Promotes independence with comprehensively demonstrated answers Prepares for 11+ exams by offering the volume of practice that tutors and teachers recommend. Preparation is more than this Assessment Book! The REVISE 11+ series supports learners at every step of the journey. All titles in the series are fully integrated and work together to provide the best support for the 11+. Introduce key skills with the REVISE 11+ Maths Practice Book 1. Take the next step with REVISE 11+ Maths Practice Book 2. Consolidate learning with the REVISE 11+ Maths Ten-Minute Tests.

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Book SynopsisWritten by well-respected authors, the Cambridge Checkpoint Mathematics suite provides a comprehensive structured resource which covers the full Cambridge Secondary 1 Mathematics framework in three stages. This Checkpoint Mathematics Challenge Workbook 7 provides further materials for students to develop deeper knowledge of mathematics. Designed to be used upon completion of the corresponding Cambridge Checkpoint Mathematics Coursebook 7 section, students can use this workbook to attempt interesting and challenging problems using their understanding of the concepts learnt.Table of Contents1. Integers; 2. Sequences, expressions and formulae; 3. Place value, ordering and rounding; 4. Length, mass and capacity; 5. Angles; 6. Planning and calculating data; 7. Fractions; 8. Symmetry; 9. Expressions and equations; 10. Averages; 11. Percentages; 12. Constructions; 13. Graphs; 14. Ratio and proportion; 15. Time; 16. Probability; 17. Position and movement; 18. Area, perimeter and volume; 19. Interpreting and discussing results

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Book SynopsisThis comprehensive, nine-year course (for ages 4 to 14) follows a spiral approach where students build confidence in working with data year-on-year. Through real-world contexts and examples, students are equipped with the skills they need to solve problems and make reliable, data-informed decisions.

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Book SynopsisFrom trusted publishers White Rose Maths and Oxford University Press this pack of homework books covers all your maths homework for Year 5. Each homework activity is matched to the teaching and learning taking place in White Rose Maths lessons each week. Homework tasts take 20-30 minutes to complete. The homework books use the same layouts, colours and language used in the White Rose Maths Workbooks - making them familiar and easy to access at home. You''ll also find lots of great vocabulary tasks to support children''s language in the maths classroom and beyond. As well as real world maths activities using items from around the home.This pack contains 30 copies of the Year 5 Practice Journal.

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Book SynopsisCreate confident and capable mathematicians with accessible explanations and engaging activities.This book gradually builds on prior knowledge to deepen understanding through clear explanations, worked examples and hundreds of differentiated questions, as well as a range of activities that you can choose from to build your lessons and teaching plans. Designed to be used flexibly, this scheme covers the four ''what matters'' statements and follows the five principles of progression from the Curriculum for Wales.- Develop pupils'' conceptual understanding and communication with symbols throughout using plenty of worked examples and banded questions that get progressively more difficult- Target fluency, logical reasoning and strategic competence by using the markers included in each exercise question- Improve outcomes by selecting from banded questions most suited to enable progression- Ease the transition between progression steps with skill-

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Book SynopsisYoung readers can discover the wonders of science and mathematics with this inspirational and accessible hardback guide, beautifully illustrated in full-color by award-winning illustrator Alex Foster. From ecology to number theory, kids will find a new way of looking at the world and the laws of science and mathematics that govern it. This title is packed with clear, colourful, and engaging explanations on a range of subjects, including: • Elements • The human body and its organs • Matter and motion • Geometry • Atoms and molecules • Animals, plants, and other living things • Biodiversity Big new concepts pop off the page, thanks to useful diagrams, vibrant illustrations and an engaging, energetic prose style. Supporting STEM learning, this book is perfect for readers aged 8-12. ABOUT THE SERIES: The Curious Kids series draws together a collection of meticulously r

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Book SynopsisUse this essential new title from the SATs Made Simple series tomaster early algebra and succeed in the KS2 SATs. This workbook willhelp children aged 10-11 achieve mastery of early algebra, througha mix of problems, practice activities and SATs-style tests.

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Book SynopsisPrepare for the CEM 11+ tests with targeted practice and opportunitiesfor children to test their understanding and develop theirnon-verbal reasoning skills for the CEM 11+ Test. Packed with opportunitiesfor children to master different question types, includingcubes, rotation, hidden shapes sequences, grids and more.

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Book SynopsisAbacus is a unique maths toolkit for inspiring a love of maths and ensuring progression for every child. Written by an expert author team, it has been carefully crafted on a robust approach to creating inspired and confident young mathematicians.

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Book SynopsisHelp your child be the top of the class with the best-selling home-study series from Carol Vorderman.Carol Vorderman can help your child succeed in maths with this homeschool learning resource for 3-5 year olds. Maths Made Easy is one of Carol Vorderman''s series of DK workbooks packed with notes and tips to make home learning about maths easy and fun! Follow the exercises and activities with your child at home to strengthen their learning in school. Each title contains a progress chart so your child can keep track of all the exercises they have completed and colour in the topic stars as they go. Helpful parents'' notes explain what children need to know at each stage and what''s being covered in the curriculum so you can support and homeschool your child with confidence.This book will teach your child how to identify differences between objects and numbers, and practise recognizing similarities. Developed in consultation with leading educational expertTable of Contents 1: Not the same 2: Different 3: Different numbers 4: The same 5: Sorting sets 6: Adding to sets 7: Sorting the toys 8: Sorting the trees 9: Sorting the animals 10: Sorting the fish 11: Finishing the patterns 12: In the right order 13: The missing number 14: The missing numbers 15: Mary sorted her snails 16: Mary grew some flowers 17: The maze 18: Dot-to-dot 19: Teddies

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Book SynopsisThis book starts with simple arithmetic inequalities and builds to sophisticated inequality results such as the Cauchy-Schwarz and Chebyshev inequalities. Nothing beyond high school algebra is required of the student. The exposition is lean. Most of the learning occurs as the student engages in the problems posed in each chapter. And the learning is not “linear”.Trade ReviewThis slim book moves economically, effectively, and elegantly from basic arithmetic to sophisticated inequality topics...Part of what makes the presentation effective, despite requiring no more than high school algebra, are the detailed solutions for the problem sets...This compact and concentrated work will be a useful service to students and teachers in fundamental mathematics." — Tom Schulte, MAA ReviewsTable of Contents Some introductory problems Squares are never negative The arithmetic-geometric mean inequality, part I The arithmetic-geometric mean inequality, part II The harmonic mean Symmetry in algebra, part I Symmetry in algebra, part II Symmetry in algebra, part III The rearrangement inequality The Cauchy-Schwarz inequality.

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Book SynopsisExam Board: WJECLevel: GCSESubject: MathematicsFirst Teaching: September 2015First Exam: June 2017Maximise your students'' grade potential with a step-by-step approach that builds confidence through topic summaries, worked examples and exam style questions.- Identify areas of improvement to focus on through diagnostic tests for each topic.- Develop exam skills and techniques with skills-focused exam-style questions and exam advice on common pitfalls.- Build understanding and confidence with clear explanations of each topic covering all the key information needed to succeed.- Consolidate revision with ''two weeks to go'' summaries for each topic.Trade ReviewWe purchased lots of the 'WJEC Mathematics - My revision notes.' to give to our pupils. The books have been a real success, with many of the pupils wanting one. The book is well written with clear examples that the pupils can follow. It is also very comprehensive and it is nice to have one book that covers maths and maths-numeracy. There are lots of practice questions for the pupils which has encouraged independence and boosted the pupils revision at home. Thank you very much! -- Miss Kirsty Speight * Miss Kirsty Speight *

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Book SynopsisAchieve. Fun and focused SATs revision.Achieve the Expected Standard in mathematics, with the only fully updated revision series. Written in the style of the most recent Year 6 National Tests, this essential book is packed with full length tests papers, providing realistic practice to develop and perfect exam technique for the 2019 SATs and covers everything that could be tested while ensuring children have some fun while they learn.Our unique approach has been helping children and schools perform above national average for over 15 years. This full colour write-in book:- Builds children's ability to concentrate in a test situation - Familiarises children with the style and format of the SATs with exposure to all the question types that could be set- Identifies strengths and weaknesses to help guide revision and improve results- Saves teacher and parent preparation time with ready-made practice papers- Draws on expert analysis to ensure our content is just right For best results use alongside Achieve Mathematics SATs Revision The Expected Standard Year 6 and Achieve Mathematics SATs Question Workbook The Expected Standard Year 6

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Book SynopsisThese four practice exam papers test pupils ahead of the CEM maths 11+ test, including the bespoke tests created by CEM for individual schools.The papers are designed to:- Develop and perfect examination technique for CEM 11+ maths tests- Give practice in answering questions in both multiple choice and standard formats- Encourage pupils to improve their speed when taking timed papers- Identify weaker areas and improve results by studying the answers, which contain references to Galore Park's revision materials for guidance and useful tips- The resource also contains links to downloadable answer sheets so that the tests can be re-sat.These practice papers are part of Galore Park's 11+ revision series, which provides a three-step learning journey that teaches children the skills needed to pass rigorous school entrance exams.

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Book SynopsisThese three practice exam papers test pupils ahead of the CEM 11+ Non-Verbal Reasoning test, including those taking bespoke tests created by CEM for individual schools. Three levelled papers test pupils' skills in non-verbal and spatial reasoning.The papers are designed to:- Develop and perfect exam technique for all CEM 11+ Non-Verbal Reasoning tests- Teach pupils to improve their response rates with timed papers- Identify weaker areas and improve results by studying the answers, which contain references to Galore Park's revision materials for guidance and useful tips- The resource also contains links to downloadable answer sheets so that the tests can be re-sat.These practice papers are part of Galore Park's 11+ revision series, which provides a three-step learning journey that teaches children the skills needed to pass rigorous school entrance exams.

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Book SynopsisSyllabus: CfE (Curriculum for Excellence, from Education Scotland) and SQALevel: BGE S1-S3: Third LevelSubject: Mathematics and NumeracyBoost attainment, engagement and confidence with this progressive approach to Third Level Maths. Pupils are guided through mathematical concepts with worked examples, plenty of practice and opportunities to check that skills are secure before moving on.Covering all CfE Third Level Benchmarks for Numeracy and Mathematics, this ready-made and fully differentiated BGE S1-S3 course puts progression for every pupil at the heart of your curriculum.- Make new learning manageable: Each concept is introduced through step-by-step explanations and rigorously worked examples, set within real life contexts that are relevant to pupils- Apply knowledge and practise skills: Pupils are encouraged to test and explore their understanding of new concepts by completing exercises that gradually build in difficulty - with answers provided at the back of the book- Meet the needs of each pupil in your class: The explanations and activities are designed to ensure accessibility for those with low prior attainment, while coverage of higher order thinking skills will challenge and extend more able pupils- Effectively check and assess progress: 'Check-up' exercises at the end of each chapter consolidate learning and support formative assessment, helping you monitor progression against the Experiences & Outcomes and Benchmarks (with additional assessments and worksheets in the separate Planning & Assessment Pack)- Lay firm foundations for National qualifications: The skills, knowledge and understanding established through the course will set pupils up for success at National 4, National 5 and beyond- Deliver the 'responsibility for all' Es and Os: Plenty of activities that address literacy and health and wellbeing skills are threaded through the bookTrade ReviewThis book covers all of the BGE Benchmarks for Mathematics and Numeracy at Third Level. It is colourful and inviting, striking a good balance between text and diagrams. Each chapter includes a short introduction, a selection of worked examples and plenty of questions and fun activities to be tackled by the learner. A check-up exercise concludes the chapter and answers are available at the back of the book.One of the key strengths of this book is the way in which methods and worked examples are communicated. A great deal of thought has clearly gone into choosing appropriate examples and clear, concise explanations. It is obvious that the authors are familiar with the needs of pupils in the BGE phase. Consequently, this book would be equally suited for use both in a classroom environment and, possibly more important now than ever, as a tool for home learning.Each exercise strikes a careful balance between an appropriate amount of core practice and more challenging questions to extend the more able student. For instance, the section on 'evaluating expressions' builds up learners' skills in the basics of substitution before challenging them with a selection of code breaking activities, matching equivalent expressions and even a substitution crossword.Also available to purchase for a one-off fee of £85 plus VAT is the downloadable Planning and Assessment Pack, containing teaching notes, homework exercises and assessments for each chapter as well as block tests and a whole course assessment.This book is an outstanding resource for all pupils studying Third Level Mathematics and I would not hesitate to recommend it to pupil, parent or teacher. I am eagerly anticipating the opportunity to utilise this resource with my own classes. -- Scottish Mathematical Council Journal, Issue 50

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Book SynopsisLearn all about adding and subtracting with Mo the Monster and his friends in these fun first maths books for children aged 5+Mo is going to Monster School today! He's going to learn all about adding and subtracting numbers through sticking beads, counting cupcakes, learning magic card tricks and cracking a maths code to find some buried treasure. But can Mo stay out of trouble while he's having so much fun? Don't count on it!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 ContentsCount all Count on Take-away Count on and back Difference Whole/part diagrams Addition and subtraction with ten Addition and subtraction facts Greater than and less than Add more than two numbers Add teen numbers Add larger numbers Subtract larger numbers Glossary AnswersTable of Contents 1: Count all 2: Count on 3: Take-away 4: Count on and back 5: Difference 6: Whole/part diagrams 7: Addition and subtraction with ten 8: Addition and subtraction facts 9: Greater than and less than 10: Add more than two numbers 11: Add teen numbers 12: Add larger numbers 13: Subtract larger numbers 14: Glossary 15: Answers

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Book SynopsisThis practical guide for teaching numeracy to children with a developmental disability is based on core concepts from the landmark Mathematics Recovery® text Teaching Number (aka ‘the green book’) that have been adapted for children with developmental disabilities. It sets out key principles of teaching and learning underpinning an evidence-based teaching approach and provides clear guidance on how educators can plan and implement a structured teaching program so that every child can be given a positive experience in learning numeracy and achieve significant outcomes, maximizing their potential. The book is supported by a comprehensive set of online resources for use in the classroom, including 90+ lesson plans carefully tailored to provide sequenced learning experiences for children and school students who may need them most...Trade ReviewThis very useful book adapts the Maths Recovery Programme to suit the learning needs of students with a developmental disability. It provides an extensive and detailed approach to assessment, learning and teaching that embodies evidence-based best practice. -- Charlotte MadineThis much needed book is an essential read not only for educators but for educational leaders everywhere. The plea to maintain high aspirations when teaching numeracy to children with developmental disabilities resonates throughout each chapter as the authors skilfully challenge misconceptions and offer practical solutions. This book is a vital tool in maximising the numeracy potential of all children and I wish somebody had given this to me when I became a maths teacher more than 15 years ago. -- Professor Adam BoddisonTable of ContentsChapter 1: Introduction Chapter 2: Mathematics Recovery Chapter 3: Adapting Mathematics Recovery Chapter 4: Motivating students with developmental disabilities to learn Chapter 5: Discrete-trial teaching Chapter 6: Using prompts in teaching Chapter 7: Ensuring learning lasts Chapter 8: Preparing to teach

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Book SynopsisAMTE, in the Standards for Preparing Teachers of Mathematics (SPTM), puts forward a national vision of initial preparation for all Pre-K–12 teachers who teach mathematics. SPTM contains critical messages for all who teach mathematics, including elementary school teachers teaching all disciplines, middle and high school mathematics teachers who may teach mathematics exclusively, special education teachers, teachers of emergent multilingual students, and other teaching professionals and administrators who have responsibility for students’ mathematical learning. SPTM has broad implications for teacher preparation programs, in which stakeholders include faculty and administrators in both education and mathematics at the university level; teachers, principals, and district leaders in the schools with which preparation programs partner; and the communities in which preparation programs and their school partners are situated.SPTM is intended as a national guide that articulates a vision for mathematics teacher preparation and supports the continuous improvement of teacher preparation programs. Such continuous improvement includes changes to preparation program courses and structures, partnerships involving schools and universities and their leaders, the ongoing accreditation of such programs regionally and nationally, and the shaping of state and national mathematics teacher preparation policy. SPTM is also designed to inform assessment practices for mathematics teacher preparation programs, to influence policies related to preparation of teachers of mathematics, and to promote national dialogue around preparing teachers of mathematics. The vision articulated in SPTM is aspirational in that it describes a set of high expectations for developing a well-prepared beginning teacher of mathematics who can support meaningful student learning. The vision is research-based and establishes a set of goals for the continued development and refinement of a mathematics teacher preparation program and a research agenda for the study of the effects of such a program. SPTM contains detailed depictions of what a well-prepared beginning teacher knows and is able to do related to content, pedagogy, and disposition, and what a strong preparation program entails with respect to learning experiences, assessments, and partnerships. Stakeholders in mathematics teacher preparation will find messages related to their roles.Standards for Preparing Teachers of Mathematics includes standards and indicators for teacher candidates and for the design of teacher preparation programs. SPTM outlines assessment practices related to overall quality, program effectiveness, and candidate performance. SPTM describes specific focal practices by grade band and provides guidance to stakeholders regarding processes for productive change.

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