Children's Errors in Mathematics


Book Description

This practical guide to children’s common errors and misconceptions in mathematics is a popular planning tool for primary trainees. It supports a deeper understanding of the difficulties encountered in mathematical development. This third edition has been updated to link to the new National Curriculum. New for this edition is a chapter on addressing errors misconceptions which explores how errors can best be identified and countered. The text examines misconceptions individually and in each case provides a description of the error alongside an explanation of why the error happens. The text also considers the role of the teacher in understanding and addressing children’s common mathematical misconceptions.




Children'S Mathematics 4-15: Learning From Errors And Misconceptions


Book Description

This work uses data from the authors' own research on children's performance, errors and misconceptions across the mathematics curriculum. It develops concepts for teachers to use in organising their understanding and knowledge of children's mathematics, and concludes with theoretical accounts of learning and teaching.




Children's Errors in Mathematics


Book Description

This practical guide to children’s common errors and misconceptions in mathematics is a popular planning tool for primary trainees. It supports a deeper understanding of the difficulties encountered in mathematical development. This third edition has been updated to link to the new National Curriculum. New for this edition is a chapter on addressing errors misconceptions which explores how errors can best be identified and countered. The text examines misconceptions individually and in each case provides a description of the error alongside an explanation of why the error happens. The text also considers the role of the teacher in understanding and addressing children’s common mathematical misconceptions.




Helping Children Learn Mathematics


Book Description

Results from national and international assessments indicate that school children in the United States are not learning mathematics well enough. Many students cannot correctly apply computational algorithms to solve problems. Their understanding and use of decimals and fractions are especially weak. Indeed, helping all children succeed in mathematics is an imperative national goal. However, for our youth to succeed, we need to change how we're teaching this discipline. Helping Children Learn Mathematics provides comprehensive and reliable information that will guide efforts to improve school mathematics from pre-kindergarten through eighth grade. The authors explain the five strands of mathematical proficiency and discuss the major changes that need to be made in mathematics instruction, instructional materials, assessments, teacher education, and the broader educational system and answers some of the frequently asked questions when it comes to mathematics instruction. The book concludes by providing recommended actions for parents and caregivers, teachers, administrators, and policy makers, stressing the importance that everyone work together to ensure a mathematically literate society.




Error Patterns in Computation


Book Description

This book is the only one of its kind that instructs teachers to identify typical error patterns, to receive feedback on their diagnosis, and to gain insight regarding why a child may have adopted an incorrect procedure. Revised to link content to the new NCTM Standards, this new edition emphasizes the meaning of operations and using the appropriate method of computation. As in previous editions, it retains its focus on placing paper-and pencil instructional activities within the context of problem solving. Chapter topics cover diagnosing misconceptions and error patterns in computation, providing needed instruction in computation, and helping students who have learned error patterns. For mathematics teachers of special education classes or at the middle school level.




Children's Errors in Mathematics


Book Description

This practical guide to children's common errors and misconceptions in mathematics is ideal for primary trainees, helping them gain a deeper understanding of the difficulties encountered in mathematical development. This Second Edition has been fully revised and all links to the EYFS and the Revised Primary Framework have been updated. New research and literature are included, additional errors are considered, and using and applying mathematics is fully embedded throughout. Individual misconceptions are dealt with and in each case a description and explanation of the error is provided. The teacher's role in understanding and addressing common misconceptions is also covered.




Avoid Silly Mistakes in Mathematics


Book Description

AVOID SILLY MISTAKES IN MATHEMATICS Learning math not only requires strong fundamentals but also a lot of practice, and making mistakes is part of that process. Making errors in math is a good thing, and can help the students to learn and explore math in a better way. However, repeating same mistakes again and again over an extended period will not benefit the students and will be harmful to their confidence. There are different types of silly errors that students make. Students should try to identify these mistakes with the help of techniques explained in this book and after that should make efforts to cut down and rectify these mistakes for getting good grades in schools. The Categories of silly mistakes are: 1. Careless or Casual Silly Mistakes 2. Calculation Errors 3. Conceptual Errors This book is an effort to guide students, teachers, and parents to take necessary measures to improve upon the habit of committing silly mistakes by students. The various techniques mentioned in this book if practiced or taught to students in the correct manner will help them reducing the quantum of stupid mistakes to a minimal and will further improve their confidence. The book also includes a collection of 100 most common silly mistakes committed by students in Arithmetic, Algebra, Trigonometry, Calculus and other branches of Mathematics across the globe in the age group of 10 to 18 years. After going through the book, students will also be able to learn about some of their misconceptions in Mathematics like: 1. 0 is even or odd? 2. Why 0/0 is not 1? 3. 0 is prime or composite? 4. Volume and Capacity of a container are not same, 5. Perimeter and Circumference of a 2-D figure are not same, 6. Pi is 22/7; still, it is irrational, 7. Why x to the power 0 is 1? 8. Why factorial 0 is 1? 9. What are the factors and multiples of 0? 10. All real numbers are polynomials. and much more ABOUT THE AUTHOR Rajesh Sarswat is presently working in a senior capacity in the Government of India. Despite the pressing bureaucratic compulsions he has to negotiate with on a daily basis, he pursues his keen interest in the field of Mathematics and has done a lot of research on various techniques and concepts on quick Mathematics. This book is the result of his extensive studies in this field for the last 20 years. He qualified in 13 All India Level Competitive Examinations, some of which are the toughest and the most gruesome, along with his research and writing work. His earlier book "Be a Human Calculator" became very popular among students due to the observation based calculation tricks explained in the book. The present book is his fourth book. Apart from writing on mathematical subjects, Rajesh also writes fiction and creative non-fiction. He is also having a passion for teaching mathematics and is a very popular teacher for his innovative and entertaining ways of presenting the subject. Rajesh lives in Ghaziabad, Uttar Pradesh, India with his wife and son.




Children′s Errors in Mathematics


Book Description

This practical guide to children′s common errors and misconceptions in mathematics is ideal for anyone training to teach 4-11 year old children and keen to gain a deeper understanding of the difficulties children encounter during their mathematical development. The book is structured around National Curriculum Attainment Targets, and deals with individual misconceptions, in each case providing a description of the error, and an explanation of why the error happens.




Children's Errors in Mathematics


Book Description

This practical and popular guide to children's common errors and misconceptions in primary mathematics is an essential tool for teachers and trainees. It supports them in planning for and tackling potential errors and enhances their understanding of the difficulties encountered in mathematical development. Providing guidance on how to identify common misconceptions, it explores how common misconceptions can be anticipated and addressed. What's new to this edition? New introductory chapter exploring contemporary themes and approaches being used in primary classrooms and schools today, such and Singapore and Shanghai maths. More content on mastery approaches to teaching mathematics, exploring 'what is mastery'? Support around preparing children for new statutory times tables test with new content and a deeper exploration of children's errors in multiplication. More intervention strategies. New scenarios section.




Developing Primary Mathematics Teaching


Book Description

How can KS1/2 teachers improve their mathematics teaching? This book helps readers to become better, more confident teachers of mathematics by enabling them to focus critically on what they know and what they do in the classroom. Building on their close observation of primary mathematics classrooms, the authors provide those starting out in the teaching profession with a four-stage framework which acts as a tool of support for developing their teaching: - making sense of foundation knowledge - focusing on what teachers know about mathematics - transforming knowledge - representing mathematics to learners through examples, analogies, illustrations and demonstrations - connection - helping learners to make sense of mathematics through understanding how ideas and concepts are linked to each other - contingency - what to do when the unexpected happens Each chapter includes practical activities, lesson descriptions and extracts of classroom transcripts to help teachers reflect on effective practice.