Common Misconceptions In Mathematics

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Student Misconceptions and Errors in Physics and Mathematics

Teresa Neidorf,Alka Arora,Ebru Erberber,Yemurai Tsokodayi,Thanh Mai
Student Misconceptions and Errors in Physics and Mathematics Book PDF

Author : Teresa Neidorf,Alka Arora,Ebru Erberber,Yemurai Tsokodayi,Thanh Mai
Publisher : Springer Nature
Page : 173 pages
File Size : 51,6 Mb
Release : 2019-10-30
Category : Education
ISBN : 9783030301880

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Student Misconceptions and Errors in Physics and Mathematics by Teresa Neidorf,Alka Arora,Ebru Erberber,Yemurai Tsokodayi,Thanh Mai Pdf

This open access report explores the nature and extent of students’ misconceptions and misunderstandings related to core concepts in physics and mathematics and physics across grades four, eight and 12. Twenty years of data from the IEA’s Trends in International Mathematics and Science Study (TIMSS) and TIMSS Advanced assessments are analyzed, specifically for five countries (Italy, Norway, Russian Federation, Slovenia, and the United States) who participated in all or almost all TIMSS and TIMSS Advanced assessments between 1995 and 2015. The report focuses on students’ understandings related to gravitational force in physics and linear equations in mathematics. It identifies some specific misconceptions, errors, and misunderstandings demonstrated by the TIMSS Advanced grade 12 students for these core concepts, and shows how these can be traced back to poor foundational development of these concepts in earlier grades. Patterns in misconceptions and misunderstandings are reported by grade, country, and gender. In addition, specific misconceptions and misunderstandings are tracked over time, using trend items administered in multiple assessment cycles. The study and associated methodology may enable education systems to help identify specific needs in the curriculum, improve inform instruction across grades and also raise possibilities for future TIMSS assessment design and reporting that may provide more diagnostic outcomes.

Common Misconceptions in Mathematics

Bobby Ojose
Common Misconceptions in Mathematics Book PDF

Author : Bobby Ojose
Publisher : University Press of America
Page : 151 pages
File Size : 44,5 Mb
Release : 2015-05-01
Category : Mathematics
ISBN : 9780761858867

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Common Misconceptions in Mathematics by Bobby Ojose Pdf

This book should be a handy tool for teachers of mathematics as they develop plans to confront the problem of misconceptions, which are common with students that often have their own notion of certain mathematical concepts, right or not. The onus is on the teacher to detect those misconceptions and help students remedy them. This book is written for that purpose. Teachers could emulate the presented strategies that the book has elucidated. Teachers may also devise their own strategies based on the source of the misconception as presented in the book. The research segment of each identified misconception will be helpful if teachers want to apprise themselves with what the literature says about the concept. In general, the book is meant for teachers who want to help students engage in mathematics that emphasize conceptual understanding.

Mathematical Misconceptions

Anne D Cockburn,Graham Littler
Mathematical Misconceptions Book PDF

Author : Anne D Cockburn,Graham Littler
Publisher : SAGE
Page : 176 pages
File Size : 42,8 Mb
Release : 2008-11-19
Category : Education
ISBN : 9781446243992

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Mathematical Misconceptions by Anne D Cockburn,Graham Littler Pdf

How do children relate to numbers and mathematics? How can they be helped to understand and make sense of them? People are rarely ambivalent towards mathematics, having either a love or hate relationship with the subject, and our approach to it is influenced by a variety of factors. How we are taught mathematics as children plays a big role in our feelings towards it. Numbers play a large part in our lives, and it is therefore beneficial to inspire a positive attitude towards them at a young age. With contributors comprised of teachers, teacher educators, mathematicians and psychologists, Mathematical Misconceptions brings together information about pupils' work from four different countries, and looks at how children, from the ages of 3 - 11, think about numbers and use them. It explores the reasons for their successes, misunderstandings and misconceptions, while also broadening the reader's own mathematical knowledge. Chapters explore: - the seemingly paradoxical number zero - the concept of equality - children's perceptions and misconceptions of adding, subtracting, multiplying and dividing - the learning process - the ways in which children acquire number concepts. This unique book will transform the way in which primary school teachers think about mathematics. Fascinating reading for anyone working with children of this age, it will be of particular interest to teachers, trainee teachers and teaching assistants. It will show them how to engage children in the mysteries and delights of numbers.

The Sourcebook for Teaching Science, Grades 6-12

Norman Herr
The Sourcebook for Teaching Science Grades 6 12 Book PDF

Author : Norman Herr
Publisher : John Wiley & Sons
Page : 614 pages
File Size : 54,6 Mb
Release : 2008-08-11
Category : Education
ISBN : 9780787972981

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The Sourcebook for Teaching Science, Grades 6-12 by Norman Herr Pdf

The Sourcebook for Teaching Science is a unique, comprehensive resource designed to give middle and high school science teachers a wealth of information that will enhance any science curriculum. Filled with innovative tools, dynamic activities, and practical lesson plans that are grounded in theory, research, and national standards, the book offers both new and experienced science teachers powerful strategies and original ideas that will enhance the teaching of physics, chemistry, biology, and the earth and space sciences.

Math Misconceptions

Honi Joyce Bamberger,Christine Oberdorf,Karren Schultz-Ferrell
Math Misconceptions Book PDF

Author : Honi Joyce Bamberger,Christine Oberdorf,Karren Schultz-Ferrell
Publisher : Heinemann Educational Books
Page : 186 pages
File Size : 49,5 Mb
Release : 2010-01-01
Category : Education
ISBN : 0325026130

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Math Misconceptions by Honi Joyce Bamberger,Christine Oberdorf,Karren Schultz-Ferrell Pdf

Children enter school filled with all kinds of ideas about numbers, shapes, measuring tools, time, and money--ideas formed from the expressions they hear ... the things they see on television ... the computer screen ... in children's books ... all around them. It's no wonder some children develop very interesting and perhaps incorrect ideas about mathematical concepts. "How can we connect the informal knowledge that students bring to our classrooms with the mathematics program adopted by our school system? Just as important, how do we ensure that the mathematics we are introducing and reinforcing is accurate and will not need to be re-taught in later years?" Math Misconceptions answers these questions by: identifying the most common errors relative to the five NCTM content strands (number and operations, algebra, geometry, measurement, and data analysis and probability); investigating the source of these misunderstandings; proposing ways to avoid as well as "undo" misconceptions. Using classroom vignettes that highlight common misconceptions in each content area, followed by applicable research about the root causes of the confusion, the authors offer numerous instructional ideas and interventions designed to prevent or correct the misconception. --Publisher's description.

Children's Errors in Mathematics

Alice Hansen,Doreen Drews,John Dudgeon,Fiona Lawton,Liz Surtees
Children s Errors in Mathematics Book PDF

Author : Alice Hansen,Doreen Drews,John Dudgeon,Fiona Lawton,Liz Surtees
Publisher : Learning Matters
Page : 321 pages
File Size : 48,8 Mb
Release : 2014-06-23
Category : Education
ISBN : 9781473905535

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Children's Errors in Mathematics by Alice Hansen,Doreen Drews,John Dudgeon,Fiona Lawton,Liz Surtees Pdf

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 Errors in Mathematics

Alice Hansen,Doreen Drews,John Dudgeon,Fiona Lawton,Liz Surtees
Children s Errors in Mathematics Book PDF

Author : Alice Hansen,Doreen Drews,John Dudgeon,Fiona Lawton,Liz Surtees
Publisher : Learning Matters
Page : 345 pages
File Size : 53,6 Mb
Release : 2017-07-29
Category : Education
ISBN : 9781526422804

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Children′s Errors in Mathematics by Alice Hansen,Doreen Drews,John Dudgeon,Fiona Lawton,Liz Surtees Pdf

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. This fourth edition explores how a Growth Mindset approach works alongside an awareness of children′s errors and how mistakes themselves are powerful learning tools. This edition includes 50 new identifiable misconceptions children have of mathematics. The text also considers the role of the teacher in understanding and addressing children’s common mathematical misconceptions. Key features: Linked to the new National Curriculum and covers every objective Provides an essential tool for planning primary mathematics lessons Explores how common misconceptions can be anticipated and addressed

Math for the Frightened

Colin Pask
Math for the Frightened Book PDF

Author : Colin Pask
Publisher : Unknown
Page : 0 pages
File Size : 48,8 Mb
Release : 2011
Category : Mathematics
ISBN : 1616144211

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Math for the Frightened by Colin Pask Pdf

Introduces the reader to the main ideas of mathematics, and painlessly demonstrates how they are expressed in symbols while helping to overcome the fear of math and begin to appreciate the science that Einstein called the poetry of logical ideas.

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

Ryan, Julie,Williams, Julian
Children S Mathematics 4 15 Learning From Errors And Misconceptions Book PDF

Author : Ryan, Julie,Williams, Julian
Publisher : McGraw-Hill Education (UK)
Page : 262 pages
File Size : 42,9 Mb
Release : 2007-04-01
Category : Education
ISBN : 9780335220427

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Children'S Mathematics 4-15: Learning From Errors And Misconceptions by Ryan, Julie,Williams, Julian Pdf

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.

Errors and Misconceptions in Maths at Key Stage 2

Mike Spooner
Errors and Misconceptions in Maths at Key Stage 2 Book PDF

Author : Mike Spooner
Publisher : Routledge
Page : 61 pages
File Size : 51,7 Mb
Release : 2012-07-26
Category : Education
ISBN : 9781136611292

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Errors and Misconceptions in Maths at Key Stage 2 by Mike Spooner Pdf

The activities in this book are designed both to help children to learn and to understand math concepts, and also to prepare them for taking SATS papers at KS2. There is plenty of research evidence to suggest that children are helped in their understanding of math problems if teachers focus on common misconceptions, and if children are given opportunities for discussion and explanation of their own understanding. Children can also feel stigmatized by being made to focus on their own errors. Mike Spooner has developed activities that present already completed work which children then assess, correct and discuss - in this way they can analyze mistakes without damage to their own self-esteem. The activities are presented in the same format as the SATS papers, to give children practice in coping with that format. The book also contains writing frames that children can use to structure their discussions of math problems.

Errors and Misconceptions in Maths at Key Stage 2

Mike Spooner
Errors and Misconceptions in Maths at Key Stage 2 Book PDF

Author : Mike Spooner
Publisher : Routledge
Page : 60 pages
File Size : 40,7 Mb
Release : 2012-07-26
Category : Education
ISBN : 9781136611308

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Errors and Misconceptions in Maths at Key Stage 2 by Mike Spooner Pdf

The activities in this book are designed both to help children to learn and to understand math concepts, and also to prepare them for taking SATS papers at KS2. There is plenty of research evidence to suggest that children are helped in their understanding of math problems if teachers focus on common misconceptions, and if children are given opportunities for discussion and explanation of their own understanding. Children can also feel stigmatized by being made to focus on their own errors. Mike Spooner has developed activities that present already completed work which children then assess, correct and discuss - in this way they can analyze mistakes without damage to their own self-esteem. The activities are presented in the same format as the SATS papers, to give children practice in coping with that format. The book also contains writing frames that children can use to structure their discussions of math problems.

Guided Math Workshop

Laney Sammons,Donna Boucher
Guided Math Workshop Book PDF

Author : Laney Sammons,Donna Boucher
Publisher : Teacher Created Materials
Page : 234 pages
File Size : 51,6 Mb
Release : 2017-03-01
Category : Education
ISBN : 9781425816544

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Guided Math Workshop by Laney Sammons,Donna Boucher Pdf

This must-have resource helps teachers successfully plan, organize, implement, and manage Guided Math Workshop. It provides practical strategies for structure and implementation to allow time for teachers to conduct small-group lessons and math conferences to target student needs. The tested resources and strategies for organization and management help to promote student independence and provide opportunities for ongoing practice of previously mastered concepts and skills. With sample workstations and mathematical tasks and problems for a variety of grade levels, this guide is sure to provide the information that teachers need to minimize preparation time and meet the needs of all students.

Children′s Errors in Mathematics

Doreen Drews,John Dudgeon,Alice Hansen,Fiona Lawton,Liz Surtees
Children s Errors in Mathematics Book PDF

Author : Doreen Drews,John Dudgeon,Alice Hansen,Fiona Lawton,Liz Surtees
Publisher : SAGE
Page : 181 pages
File Size : 54,8 Mb
Release : 2005-07-07
Category : Education
ISBN : 9781844454303

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Children′s Errors in Mathematics by Doreen Drews,John Dudgeon,Alice Hansen,Fiona Lawton,Liz Surtees Pdf

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.

Becoming the Math Teacher You Wish You'd Had

Tracy Johnston Zager
Becoming the Math Teacher You Wish You d Had Book PDF

Author : Tracy Johnston Zager
Publisher : Taylor & Francis
Page : 393 pages
File Size : 40,7 Mb
Release : 2023-10-10
Category : Education
ISBN : 9781003839514

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Becoming the Math Teacher You Wish You'd Had by Tracy Johnston Zager Pdf

Ask mathematicians to describe mathematics and they' ll use words like playful, beautiful, and creative. Pose the same question to students and many will use words like boring, useless, and even humiliating. Becoming the Math Teacher You Wish You' d Had, author Tracy Zager helps teachers close this gap by making math class more like mathematics. Zager has spent years working with highly skilled math teachers in a diverse range of settings and grades and has compiled those' ideas from these vibrant classrooms into' this game-changing book. Inside you' ll find: ' How to Teach Student-Centered Mathematics:' Zager outlines a problem-solving approach to mathematics for elementary and middle school educators looking for new ways to inspire student learning Big Ideas, Practical Application:' This math book contains dozens of practical and accessible teaching techniques that focus on fundamental math concepts, including strategies that simulate connection of big ideas; rich tasks that encourage students to wonder, generalize, hypothesize, and persevere; and routines to teach students how to collaborate Key Topics for Elementary and Middle School Teachers:' Becoming the Math Teacher You Wish You' d Had' offers fresh perspectives on common challenges, from formative assessment to classroom management for elementary and middle school teachers No matter what level of math class you teach, Zager will coach you along chapter by chapter. All teachers can move towards increasingly authentic and delightful mathematics teaching and learning. This important book helps develop instructional techniques that will make the math classes we teach so much better than the math classes we took.

Tackling Misconceptions in Primary Mathematics

Kieran Mackle
Tackling Misconceptions in Primary Mathematics Book PDF

Author : Kieran Mackle
Publisher : Taylor & Francis
Page : 126 pages
File Size : 48,8 Mb
Release : 2016-10-04
Category : Education
ISBN : 9781317443360

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Tackling Misconceptions in Primary Mathematics by Kieran Mackle Pdf

Did you know that a circle has more than one side? Are you aware of the difference between 1:2 and 1⁄2? Could you spot when a 2D shape is actually 3D? Tackling Misconceptions in Primary Mathematics is a practical guide based on the principles that sound subject knowledge is key to fostering understanding, and addressing misconceptions is central to pupil progress. With an emphasis on preventing as well as unpicking misconceptions in the classroom, it offers trainee and practising teachers clear explanations, practical strategies, and examples of the classroom language and dialogue that will help pupils successfully navigate tricky topics. The book demonstrates the importance of preventing misconceptions through what is said, done and presented to children, giving a variety of examples of common misconceptions and exploring how they can be addressed in a classroom environment. Proper intervention at the point of misconception is regarded as a key skill for any outstanding classroom practitioner and the author stresses the value in understanding how the pupil got there and explaining that it’s okay to make mistakes. Misconceptions are only one step away from correctly formed concepts if harnessed with care and skill. This comprehensive text is designed to be read as either a short course introduction, or dipped into as a guide to assist teaching. It is essential reading for trainee primary school teachers on all routes to QTS, as well as mathematics subject leaders and practising teachers looking to inspire the next generation of confident and inquisitive mathematicians.