Visible Maths

Author: Peter Mattock
Publisher: Crown House Publishing Ltd
ISBN: 1785834088
Category : Education
Languages : en
Pages : 417

Book Description
Peter Mattock's Visible Maths: Using representations and structure to enhance mathematics teaching in schools supports teachers in their use of concrete and pictorial representations to illustrate key mathematical ideas and operations. Viewing the maths lesson as an opportunity for pupils to develop a deep understanding of mathematical concepts and relationships, rather than simply to follow fixed processes that lead to 'the answer', is increasingly recognised as the pinnacle of best practice in maths education. In this book, Peter Mattock builds on this approach and explores in colourful detail a variety of visual tools and techniques that can be used in the classroom to deepen pupils' understanding of mathematical operations. Covering vectors, number lines, algebra tiles, ordered-pair graphs and many other representations, Visible Maths equips teachers with the confidence and practical know-how to take their pupils' learning to the next level. The book looks at the strengths, and flaws, of each representation so that both primary and secondary school teachers of maths can make informed judgements about which representations will benefit their pupils. The exploration begins at the very basics of number and operation, and extends all the way through to how the representations apply to algebraic expressions and manipulations. As well as sharing his expert knowledge on the subject, Peter draws on relevant research and his own experience of using the representations in order to support teachers in understanding how these representations can be implemented effectively. Visible Maths also includes a glossary covering the key mathematical terms, as well as a chapter dedicated to answering some of the questions that may arise from the reading of the book. Furthermore, the accompanying diagrams and models are displayed in full colour to illustrate the conceptual takeaways and teaching techniques discussed. Suitable for teachers of maths in primary and secondary school settings.

Visible Learning for Mathematics, Grades K-12

Author: John Hattie
Publisher: Corwin Press
ISBN: 1506362958
Category : Education
Languages : en
Pages : 209

Book Description
Selected as the Michigan Council of Teachers of Mathematics winter book club book! Rich tasks, collaborative work, number talks, problem-based learning, direct instruction...with so many possible approaches, how do we know which ones work the best? In Visible Learning for Mathematics, six acclaimed educators assert it’s not about which one—it’s about when—and show you how to design high-impact instruction so all students demonstrate more than a year’s worth of mathematics learning for a year spent in school. That’s a high bar, but with the amazing K-12 framework here, you choose the right approach at the right time, depending upon where learners are within three phases of learning: surface, deep, and transfer. This results in "visible" learning because the effect is tangible. The framework is forged out of current research in mathematics combined with John Hattie’s synthesis of more than 15 years of education research involving 300 million students. Chapter by chapter, and equipped with video clips, planning tools, rubrics, and templates, you get the inside track on which instructional strategies to use at each phase of the learning cycle: Surface learning phase: When—through carefully constructed experiences—students explore new concepts and make connections to procedural skills and vocabulary that give shape to developing conceptual understandings. Deep learning phase: When—through the solving of rich high-cognitive tasks and rigorous discussion—students make connections among conceptual ideas, form mathematical generalizations, and apply and practice procedural skills with fluency. Transfer phase: When students can independently think through more complex mathematics, and can plan, investigate, and elaborate as they apply what they know to new mathematical situations. To equip students for higher-level mathematics learning, we have to be clear about where students are, where they need to go, and what it looks like when they get there. Visible Learning for Math brings about powerful, precision teaching for K-12 through intentionally designed guided, collaborative, and independent learning.

All About Maths

Author: Johnny Ball
Publisher: Dorling Kindersley Ltd
ISBN: 024151021X
Category : Juvenile Nonfiction
Languages : en
Pages : 91

Book Description
Join popular television presenter Johnny Ball as he explores the history of maths and measuring and shows why it is still a magical way to find out how everything works today. All about Maths helps make maths magically simple, from pi, the amazing number that unlocks the secret of circles and spheres, to perfect proportions - did you know Leonardo da Vinci figured out that a person's ear is one-third the length of their face? Along the way, you'll meet some of the most brilliant mathematical thinkers from history who have used numbers to make sense of the world. Discover how Pythagorus came upon his famous theorem, and how Galileo the Great became the father of clocks. The fun design presents weird and wonderful facts that most maths books leave out, such as the origin of the number "googol" and what Mickey Mouse has in common with a computer mouse. With puzzles to solve, conundrums to crack, and incredible tricks to show friends, Johnny Ball will show you just how magical the world of maths can be.

Leading Maths

Author: Peter Mattock
Publisher: Crown House Publishing Ltd
ISBN: 1785837001
Category : Education
Languages : en
Pages : 212

Book Description
Leading maths at any school is a unique challenge and comes with pressures not experienced in many other subject areas. The relatively abstract nature of the subject content, combined with the contrasting societal and parental attitudes to mathematics, can complicate communication and stifle progress. Most pupils and parents will recognise the importance of maths but many feel it's perfectly acceptable to be "no good" at it. Leading maths in schools is about managing these contradictions and getting the very best out of every teacher and pupil. Offering a fresh perspective and practical strategies for maths teachers and leaders at any level, Leading Mathsexplores how to make the most of a maths leadership role and manage the daily pressures and demands that come with it. Backed up by specific examples from fifteen years of experience leading maths, Peter Mattock goes on to examine the more long-term, strategic view of maths leadership, including how leaders can work with their teams to develop high quality mathematics teaching and learning for all pupils. The book covers day-to-day issues that arise when leading maths, in particular results and accountability, as well as difficult situations more generally. It offers useful takeaways at the end of each chapter, with a summary of key points and advice from the chapter. Leading Maths explores how to manage an inspection, developing improvement plans and the appraisal process, before touching on taking maths leadership beyond one specific school and into system leadership. In addition to Peter's insight, Leading Maths also contains contributions from other experienced maths practitioners, including Becky Lawrence, Jemma Sherwood, Rhiannon Rainbow and Dave Tushingham. Becky examines some of the specific approaches to leading primary maths, whilst Jemma does the same from her perspective as a maths lead across a large multi-academy trust. Rhiannon and Dave then go on to discuss how to manage significant change from their experience of adapting curriculum and CPD during the COVID pandemic - including the beginnings of their (now famous) book club. An essential guide for current, new, or aspiring maths leaders.

Best Maths Book Ever

Author: Dorling Kindersley Publishing Staff
Publisher:
ISBN: 9780241202395
Category :
Languages : en
Pages : 18

Book Description
Roll, spin, pop lift and learn with the best maths book ever Roll the dice, spin the wheel, pop, lift, pull and learn with this fun-filled, cool maths games book that covers the essential maths concepts needed in the first few years of school, from finding fractions to basic geometry. The amazing interactive paper engineering in The Best Maths Book Ever will capture and hold your child's attention, making practising maths and play one and the same. Kids will learn key maths concepts while having a blast. Everybody wins with The Best Maths Book Ever.

Teaching Mathematics in the Visible Learning Classroom, Grades 3-5

Author: John Almarode
Publisher: Corwin Press
ISBN: 1544333250
Category : Education
Languages : en
Pages : 281

Book Description
How do you generate that lightbulb “aha” moment of understanding for your students? This book helps to answer that question by showing Visible Learning strategies in action in high-impact mathematics classrooms. Walk in the shoes of teachers as they engage in the countless micro-decisions required to balance strategies, tasks, and assessments, demonstrating that it’s not only what works, but when. A decision-making matrix and grade-leveled examples help you leverage the most effective teaching practices at the most effective time to meet the surface, deep, and transfer learning needs of every student.

Teaching Mathematics in the Visible Learning Classroom, Grades 6-8

Author: John Almarode
Publisher: Corwin Press
ISBN: 154433317X
Category : Education
Languages : en
Pages : 154

Book Description
Select the right task, at the right time, for the right phase of learning It could happen in the morning during homework review. Or perhaps it happens when listening to students as they struggle through a challenging problem. Or maybe even after class, when planning a lesson. At some point, the question arises: How do I influence students′ learning—what’s going to generate that light bulb "aha" moment of understanding? In this sequel to the megawatt best seller Visible Learning for Mathematics, John Almarode, Douglas Fisher, Nancy Frey, John Hattie, and Kateri Thunder help you answer that question by showing how Visible Learning strategies look in action in the mathematics classroom. Walk in the shoes of middle school teachers as they engage in the 200 micro-decisions-per-minute needed to balance the strategies, tasks, and assessments seminal to high-impact mathematics instruction. Using grade-leveled examples and a decision-making matrix, you’ll learn to Articulate clear learning intentions and success criteria at surface, deep, and transfer levels Employ evidence to guide students along the path of becoming metacognitive and self-directed mathematics achievers Use formative assessments to track what students understand, what they don’t, and why Select the right task for the conceptual, procedural, or application emphasis you want, ensuring the task is for the right phase of learning Adjust the difficulty and complexity of any task to meet the needs of all learners It’s not only what works, but when. Exemplary lessons, video clips, and online resources help you leverage the most effective teaching practices at the most effective time to meet the surface, deep, and transfer learning needs of every student.

Conceptual Maths

Author: Peter Mattock
Publisher: Crown House Publishing Ltd
ISBN: 1785836188
Category : Education
Languages : en
Pages : 780

Book Description
Written by Peter Mattock, Conceptual Maths: Teaching 'about' (rather than just 'how to do') mathematics in schoolsaims to empower teachers to support students on a comprehensive and coherent journey through school mathematics. Showcasing the best models, metaphors and representations, it provides excellent examples, explanations and exercises that can be used across the curriculum. Concepts are at the heart of the study of mathematics. They are the ideas that remain constant whenever they are encountered, but which combine and build upon each other to create the mathematical universe. It is the structure of each concept that gives rise to the procedures that are used in calculation and problem-solving - and, by learning about these structures, a learner can make sense of how different processes work and use them flexibly as need demands. In his first book,Visible Maths, Peter Mattock focused on the use of representations and manipulatives as images and tools and how this can provide a window into some of these mathematical structures. His aim in Conceptual Mathsis to go deeper, beyond the procedures, and to shed greater light on the structures of the subject's different concepts. The book explores how a variety of visual tools and techniques can be used in the classroom to deepen pupils' understanding of mathematical structures, concepts and operations, including: number; addition and subtraction; multiplication and multiples; division and factors; proportionality; functionality; measures; accuracy; probability; shape and transformation; and vectors, among many others. In so doing, Peter equips teachers with the confidence and practical know-how to help learners assimilate knowledge of mathematical concepts into their schema and take their learning to the next level. Containing numerous full-colour diagrams and models to illustrate the conceptual takeaways and teaching techniques discussed, Conceptual Mathsalso includes a glossary covering the key mathematical terms. Suitable for teachers of maths in primary, secondary and post-16 settings

Million Dollar Maths

Author: Hugh Barker
Publisher: Atlantic Books
ISBN: 1786493233
Category : Mathematics
Languages : en
Pages : 253

Book Description
Million Dollar Maths is an invaluable guide to the straightforward and outlandish mathematical strategies that can make you rich. ____________ How can you turn $1000 into $1 million? What is the best way to beat the lottery odds? When is the best time to take out a loan? How did one group of gamblers bet on hole-in-ones to win £500,000? How can maths help you set up a successful tech start-up? What about proving the Goldbach Conjecture for $1 million? Learn the techniques for growing your everyday finances, as well as the common mistakes to avoid. Discover the skills, both fair and foul, that offer an additional edge when investing and gambling. And discover why we often misunderstand probability and statistics - with troubling financial costs. From making the most of special offers to utilising the power of exponential growth in your investments; from the art of card counting, to inventing the next Google, Million Dollar Maths is the quintessential primer to the myriad ways maths and finance intersect.

Help Your Kids With Maths

Author: Carol Vorderman
Publisher: Dorling Kindersley Ltd
ISBN: 1405357282
Category : Mathematics
Languages : en
Pages : 258

Book Description
A simple, visual approach to helping your child understand maths Reduce the stress of studying maths and help your child with their homework, following this unique visual guide which will demystify the subject for everyone. Using clear, accessible pictures, diagrams and easy-to-follow step-by-steps - and covering everything from basic numeracy to more challenging subjects like statistics and algebra - you'll learn to approach even the most complex maths problems with confidence. Includes a glossary of key maths terms and symbols. The perfect guide for every frustrated parent and desperate child, who wants to understand maths and put it into practice.