Math Misconceptions

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Mathematical Misconceptions

Anne D Cockburn,Graham Littler
Mathematical Misconceptions Book PDF

Author : Anne D Cockburn,Graham Littler
Publisher : SAGE
Page : 178 pages
File Size : 54,9 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.

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 : 51,6 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.

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 : 42,7 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.

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 : 40,9 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

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 : 48,7 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.

Interventions in Mathematics

Tierney Kennedy
Interventions in Mathematics Book PDF

Author : Tierney Kennedy
Publisher : Unknown
Page : 88 pages
File Size : 46,7 Mb
Release : 2014-06-15
Category : Electronic
ISBN : 098705998X

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Interventions in Mathematics by Tierney Kennedy Pdf

Fractions is one concept that consistently proves difficult for students to understand. This intervention program has been designed as a targeted approach to catch kids up on multiple years of fraction concepts that ideally should have been developed in primary school, but which I have found are often missing for students in secondary school. Inside you will find diagnostic tasks to uncover misconceptions that are holding kids back from understanding fractions as well as lessons with unique confrontational questions to fix misconceptions for good. These lessons will show you how to lead kids to abandon their wrong ideas and figure out how fractions work for themselves so that they really understand them and don't forget what we are teaching.

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 : 54,8 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 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 : 42,5 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.

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 : 41,5 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.

How to Make Sure Your Child Gets an A+ in Math

Shu Chen Hou
How to Make Sure Your Child Gets an A in Math Book PDF

Author : Shu Chen Hou
Publisher : Kokoshungsan Ltd
Page : 142 pages
File Size : 44,6 Mb
Release : 2023-11-07
Category : Education
ISBN : 8210379456XXX

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How to Make Sure Your Child Gets an A+ in Math by Shu Chen Hou Pdf

Unlock Your Child's Full Math Potential and Secure Their Academic Success! Are you concerned about your child's math performance? Do you want to see them not just pass but excel in this critical subject? "How to Make Sure Your Child Gets an A+ in Math" is your ultimate guide to transforming your child into a math champion! This groundbreaking book takes you on a journey through the world of math education, offering invaluable insights, proven strategies, and expert advice to ensure your child's success. From building a strong math foundation to mastering effective study techniques, this book covers it all. Discover how to: Instill a growth mindset to boost confidence and motivation. Navigate the intricacies of the math curriculum at every grade level. Support your child's learning journey with effective communication and collaboration with teachers. Equip them with winning exam strategies to outperform their peers. With real-life case studies and success stories, you'll witness firsthand the transformation that can happen when you apply these techniques. Plus, you'll find essential resources for additional help, math competitions, and long-term career planning in mathematics. Don't let your child struggle with math when they can shine! Invest in their academic future today with "How to Make Sure Your Child Gets an A+ in Math." Give your child the confidence, knowledge, and skills to conquer the world of math and secure a bright future. Order now and watch them rise to the top of the class!

Issues in Mathematics Teaching

Peter Gates
Issues in Mathematics Teaching Book PDF

Author : Peter Gates
Publisher : Psychology Press
Page : 344 pages
File Size : 45,5 Mb
Release : 2001
Category : Education
ISBN : 0415238641

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Issues in Mathematics Teaching by Peter Gates Pdf

Containing a range of issues relating to the teaching of mathematics, this text builds on knowledge already gained on ITT and PGCE courses and encourages teachers to consider and reflect on the issues that affect their teaching skills.

Dispelling Misconceptions About English Language Learners

Barbara Gottschalk
Dispelling Misconceptions About English Language Learners Book PDF

Author : Barbara Gottschalk
Publisher : ASCD
Page : 186 pages
File Size : 55,5 Mb
Release : 2019-10-23
Category : Education
ISBN : 9781416628309

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Dispelling Misconceptions About English Language Learners by Barbara Gottschalk Pdf

In Dispelling Misconceptions About English Language Learners, Barbara Gottschalk dispels 10 common misconceptions about ELLs and gives teachers the information they need to help their ELLs succeed in the classroom. From her perspective as a teacher of English as a second language, Gottschalk answers several key questions: * Just who is an English language learner? * Why is it important to support home language maintenance and promote family engagement? * What are the foundational principles for instruction that help educators teach ELLs across the content areas? * How can teachers recognize and incorporate the background knowledge and experiences ELLs bring to class? * Why is it important to maintain high standards and expectations for all students, including ELLs? * How can a teacher tell when an ELL needs special education versus special teaching? By answering these questions, and more, Gottschalk gives teachers a crystal-clear understanding of how to reach ELLs at each stage of English language acquisition. Her expert guidance reinforces for teachers what they are already doing right and helps them understand what they might need to be doing differently.

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 : 40,7 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.

Mine the Gap for Mathematical Understanding, Grades 6-8

John SanGiovanni,Jennifer Rose Novak
Mine the Gap for Mathematical Understanding Grades 6 8 Book PDF

Author : John SanGiovanni,Jennifer Rose Novak
Publisher : Corwin Press
Page : 408 pages
File Size : 50,6 Mb
Release : 2017-09-12
Category : Education
ISBN : 9781506379838

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Mine the Gap for Mathematical Understanding, Grades 6-8 by John SanGiovanni,Jennifer Rose Novak Pdf

See a gap in understanding? Mine it to move your students forward. How good are you at exploiting students’ mathematical mistakes? In this remarkable book, the authors remind us that student mistakes are not random, and when we take the time to “mine the gap,” we can dispel misunderstandings before they take root. Included are 180 downloadable high-quality tasks, aligned to the standards and big ideas of grades 6–8 mathematics. Each task includes sample student work, commentary on strengths and gaps, and next instructional steps. Whether you use this bank of tasks for instruction or assessment, you will love how it helps you easily identify students’ thinking and then follow up with instruction that brings clear, complete understanding.

Fun and Fundamental Math for Young Children

Marian Small
Fun and Fundamental Math for Young Children Book PDF

Author : Marian Small
Publisher : Teachers College Press
Page : 128 pages
File Size : 46,6 Mb
Release : 2018
Category : Education
ISBN : 9780807776964

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Fun and Fundamental Math for Young Children by Marian Small Pdf

Educators of young children who don’t yet know the work of Marian Small are in for a gift—a treasure trove to enhance their teaching and thinking about math. This book focuses on the most important concepts and skills needed to provide early learners (preK–2) with a strong foundation in mathematics, in ways that are fun for both children and educators! For each mathematical concept, professional developer Marian Small provides sample activities and lessons, as well as guidance for using children’s books, games, manipulatives, and electronic devices. This resource also demonstrates how to differentiate instruction using tasks and questions designed to include all students. Like other Marian Small bestsellers, the text features her special brand of lucid explanation of difficult concepts, fresh and engaging teaching examples, troubleshooting tips, and formative assessments. Fun and Fundamental Math for Young Children is separated into special grade level sections for pre-K, kindergarten, first grade, and second grade. It can be used with any early childhood curriculum or as a stand-alone program in preschools. Marian Small is available for in-person and online professional development. “Within the first few pages it quickly became apparent that, whether you are a new or veteran teacher, your knowledge and appreciation of and for primary mathematics will grow page by page.” —From the Foreword by Graham Fletcher, math specialist, Atlanta, Georgia “Marian Small describes the development of major aspects of children’s mathematical thinking and connects them to many interesting and useful classroom activities.” —Herbert Ginsburg, professor emeritus, Teachers College, Columbia University “I love this book! The ideas are invaluable and the attention to detail is amazing.” —Nicki Newton, math consultant