Mathematical Understanding 5 11

Author: Anne D Cockburn
Publisher: SAGE
ISBN: 1848605285
Size: 45.42 MB
Format: PDF, ePub
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Sam - a young and enthusiastic trainee teacher - asked the class, 'What is the difference between 7 and 6?'. Jo's hand shot up and he immediately responded, 'Well seven is all straight lines and sixes are all curly.' How can you help children to make progress in mathematical understanding? Children's mathematical misconceptions very often arise as a result of poor communication. This practical and innovative book presents a range of creative strategies to help teachers communicate effectively in the mathematics classroom, offering some new ways of presenting the fundamental concepts and principles of mathematics, and clearly demonstrating that the most effective form of communication is not always verbal. Each chapter focuses on a theme or concept central to the numeracy strategy, such as subtraction, shape and space, constructing and connecting 2D and 3D shapes, data-logging and graph interpretation, and mathematical reasoning. Each chapter supports teachers' subject knowledge as well as suggesting a range of communication strategies (e.g. speaking, listening, drawing, role play, and visual methods such as posters and ICT work) to help teachers and children to share and build on their understanding. All of the activities have been tried and tested in classrooms across Europe. Written by a team of highly experienced teachers, the book will be valuable reading for pre- and in-service teachers, teacher educators and anyone who has an interest in extending the ways children actively engage with mathematics. Teachers with EAL pupils in their class may find it of particular value in communicating mathematical concepts to those who find English difficult. The book is accompanied by a DVD which includes video clips of children at work in mathematics classrooms, software used in the project, copies of material from the book and additional activities.

The Really Useful Maths Book

Author: Tony Brown
Publisher: Routledge
ISBN: 131791354X
Size: 62.27 MB
Format: PDF, ePub, Docs
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The Really Useful Maths Book is for all those who want children to enjoy the challenge of learning mathematics. With suggestions about the best ways to use resources and equipment to support learning, it describes in detail how to make learning the easy option for children.An easy-to-follow, comprehensive guide packed with ideas and activities, it is the perfect tool to help teachers who wish to develop their teaching strategies. The second edition has been fully updated in light of the latest research, as well as in response to the new mathematics curriculum. It includes many more practical activities for each mathematical topic and explores exciting new areas. Key topics covered include: Numbers and the number system Operations and calculations Shape and space Measures, statistics and data handling Cross-curricular approaches Resources and planning for teaching and learning Contexts for making sense of mathematics Bridges, strategies and personal qualities Dialogue and interactive teaching International perspectives on teaching and learning Psychology and neuroscience to maximize learning. The Really Useful Maths Book makes mathematics meaningful, challenging and interesting. It will be invaluable to practicing primary teachers, subject specialists, maths co-ordinators, student teachers, mentors, tutors, home educators and others interested in mathematics education programmes. Tony Brown was formerly the Director of ESCalate, the UK Centre for Education in HE at the Graduate School of Education, University of Bristol, UK. Henry Liebling formerly led Primary Mathematics Education at University College Plymouth, Marjon, UK.

Teaching Mathematics Creatively

Author: Linda Pound
Publisher: Routledge
ISBN: 1317511271
Size: 28.16 MB
Format: PDF, ePub
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This new and updated edition of Teaching Mathematics Creatively offers a range of strategies to enable trainee and practising teachers to take an innovative, playful and creative approach to maths teaching. It promotes creativity as a key element of practice and offers ideas to involve your students and develop knowledge, understanding and enjoyment. Exploring fresh approaches, this text explains the role of play in bringing mathematics alive for children and teachers alike. It identifies the power of story-telling in supporting mathematical thinking, examines cross-curricular teaching, and allows you to plan for teaching creatively. Imaginative ideas, underpinned by the latest research and theory, include: Learning maths outdoors - make more noise, make more mess or work on a larger scale Everyday maths - making sense of the numbers, patterns, shapes and measures children see around them Music and maths – the role of rhythm in learning, and music and pattern in maths Giant maths - how much food do you include on a giant shopping list? Stimulating and accessible, with contemporary and cutting-edge practice at the forefront, Teaching Mathematics Creatively includes a wealth of innovative ideas to enthuse teachers and enrich maths teaching. This book is an essential purchase for any professional who wishes to embed creative approaches to teaching in their classroom.

Understanding Mathematics In The Lower Primary Years

Author: Derek Haylock
Publisher: SAGE
ISBN: 9780761941040
Size: 62.84 MB
Format: PDF, Mobi
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New Edition of Best Seller! This is a fully revised and updated edition of the authors' successful and much-used book and was written for those who wish to have a clearer understanding of the mathematical ideas behind the material they use in the classroom.

Make It Simpler

Author: Carol Meyer
Publisher: Dale Seymour Publications
ISBN: 9780201200362
Size: 69.34 MB
Format: PDF, ePub
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Over fifty math problems, presented in three levels of difficulty. An innovative approach that takes less than 15 minutes a day to apply and can be used in any mathematics program.

Introduction To Mathematical Thinking

Author: Keith J. Devlin
Publisher:
ISBN: 9780615653631
Size: 16.59 MB
Format: PDF, ePub, Mobi
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In the twenty-first century, everyone can benefit from being able to think mathematically. This is not the same as "doing math." The latter usually involves the application of formulas, procedures, and symbolic manipulations; mathematical thinking is a powerful way of thinking about things in the world -- logically, analytically, quantitatively, and with precision. It is not a natural way of thinking, but it can be learned.Mathematicians, scientists, and engineers need to "do math," and it takes many years of college-level education to learn all that is required. Mathematical thinking is valuable to everyone, and can be mastered in about six weeks by anyone who has completed high school mathematics. Mathematical thinking does not have to be about mathematics at all, but parts of mathematics provide the ideal target domain to learn how to think that way, and that is the approach taken by this short but valuable book.The book is written primarily for first and second year students of science, technology, engineering, and mathematics (STEM) at colleges and universities, and for high school students intending to study a STEM subject at university. Many students encounter difficulty going from high school math to college-level mathematics. Even if they did well at math in school, most are knocked off course for a while by the shift in emphasis, from the K-12 focus on mastering procedures to the "mathematical thinking" characteristic of much university mathematics. Though the majority survive the transition, many do not. To help them make the shift, colleges and universities often have a "transition course." This book could serve as a textbook or a supplementary source for such a course.Because of the widespread applicability of mathematical thinking, however, the book has been kept short and written in an engaging style, to make it accessible to anyone who seeks to extend and improve their analytic thinking skills. Going beyond a basic grasp of analytic thinking that everyone can benefit from, the STEM student who truly masters mathematical thinking will find that college-level mathematics goes from being confusing, frustrating, and at times seemingly impossible, to making sense and being hard but doable.Dr. Keith Devlin is a professional mathematician at Stanford University and the author of 31 previous books and over 80 research papers. His books have earned him many awards, including the Pythagoras Prize, the Carl Sagan Award, and the Joint Policy Board for Mathematics Communications Award. He is known to millions of NPR listeners as "the Math Guy" on Weekend Edition with Scott Simon. He writes a popular monthly blog "Devlin's Angle" for the Mathematical Association of America, another blog under the name "profkeithdevlin", and also blogs on various topics for the Huffington Post.

Mathematical Mindsets

Author: Jo Boaler
Publisher: John Wiley & Sons
ISBN: 1118418271
Size: 20.63 MB
Format: PDF, ePub, Mobi
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Banish math anxiety and give students of all ages a clear roadmap to success Mathematical Mindsets provides practical strategies and activities to help teachers and parents show all children, even those who are convinced that they are bad at math, that they can enjoy and succeed in math. Jo Boaler—Stanford researcher, professor of math education, and expert on math learning—has studied why students don't like math and often fail in math classes. She's followed thousands of students through middle and high schools to study how they learn and to find the most effective ways to unleash the math potential in all students. There is a clear gap between what research has shown to work in teaching math and what happens in schools and at home. This book bridges that gap by turning research findings into practical activities and advice. Boaler translates Carol Dweck's concept of 'mindset' into math teaching and parenting strategies, showing how students can go from self-doubt to strong self-confidence, which is so important to math learning. Boaler reveals the steps that must be taken by schools and parents to improve math education for all. Mathematical Mindsets: Explains how the brain processes mathematics learning Reveals how to turn mistakes and struggles into valuable learning experiences Provides examples of rich mathematical activities to replace rote learning Explains ways to give students a positive math mindset Gives examples of how assessment and grading policies need to change to support real understanding Scores of students hate and fear math, so they end up leaving school without an understanding of basic mathematical concepts. Their evasion and departure hinders math-related pathways and STEM career opportunities. Research has shown very clear methods to change this phenomena, but the information has been confined to research journals—until now. Mathematical Mindsets provides a proven, practical roadmap to mathematics success for any student at any age.

Making Sense Of Mathematics For Teaching High School

Author: Edward C. Nolan
Publisher: Solution Tree Press
ISBN: 1942496494
Size: 41.97 MB
Format: PDF, Docs
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Develop a deep understanding of mathematics by grasping the context and purpose behind various strategies. This user-friendly resource presents high school teachers with a logical progression of pedagogical actions, classroom norms, and collaborative teacher team efforts to increase their knowledge and improve mathematics instruction. Explore strategies and techniques to effectively learn and teach significant mathematics concepts and provide all students with the precise, accurate information they need to achieve academic success. Combine student understanding of functions and algebraic concepts so that they can better decipher the world. Benefits Dig deep into mathematical modeling and reasoning to improve as both a learner and teacher of mathematics. Explore how to develop, select, or modify mathematics tasks in order to balance cognitive demand and engage students. Discover the three important norms to uphold in all mathematics classrooms. Learn to apply the tasks, questioning, and evidence (TQE) process to ensure mathematics instruction is focused, coherent, and rigorous. Gain clarity about the most productive progression of mathematical teaching and learning for high school. Watch short videos that show what classrooms that are developing mathematical understanding should look like. Contents Introduction Equations and Functions Structure of Equations Geometry Types of Functions Function Modeling Statistics and Probability Epilogue: Next Steps Appendix: Weight Loss Study Data References Index

The Trouble With Maths

Author: Steve Chinn
Publisher: Routledge
ISBN: 1136651772
Size: 17.40 MB
Format: PDF, ePub
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Now in a second edition, the award-winning The Trouble with Maths offers important insights into the often confusing world of numeracy. By looking at learning difficulties in maths from several perspectives, including the language of mathematics, thinking styles and the demands of individual topics, this book offers a complete overview of the most common problems associated with mathematics teaching and learning. It draws on tried-and-tested methods based on research and the author’s many years of classroom experience to provide an authoritative yet highly accessible one-stop classroom resource. Combining advice, guidance and practical activities, this user-friendly guide will enable you to: develop flexible thinking skills; use alternative strategies for pupils to access basic facts; understand the implications of pre-requisite skills, such as working memory, on learning; implement effective preventative measures before disaffection sets in; recognise maths anxiety and tackle self-esteem problems; tackle the difficulties with word problems that many pupils may have; select appropriate materials to enhance understanding. With useful features such as checklists for the evaluation of books, an outline for setting up an inclusive Maths Department policy and a brand new chapter on materials, manipulatives and communication, this book will equip you with the essential skills to tackle your pupils’ maths difficulties and improve standards. This book will be useful for all teachers, classroom assistants, learning support assistants and parents who have pupils who underachieve with maths.