Mathematical Misconceptions
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Mathematical Misconceptions
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Author : Anne D Cockburn
language : en
Publisher: SAGE
Release Date : 2008-11-19
Mathematical Misconceptions written by Anne D Cockburn and has been published by SAGE this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-11-19 with Education categories.
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.
Common Misconceptions In Mathematics
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Author : Bobby Ojose
language : en
Publisher: University Press of America
Release Date : 2015-05-01
Common Misconceptions In Mathematics written by Bobby Ojose and has been published by University Press of America this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-05-01 with Mathematics categories.
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.
Children S Errors In Mathematics
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Author : Doreen Drews
language : en
Publisher: SAGE
Release Date : 2005-07-07
Children S Errors In Mathematics written by Doreen Drews and has been published by SAGE this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-07-07 with Education categories.
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 Mathematics 4 15 Learning From Errors And Misconceptions
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Author : Ryan, Julie
language : en
Publisher: McGraw-Hill Education (UK)
Release Date : 2007-04-01
Children S Mathematics 4 15 Learning From Errors And Misconceptions written by Ryan, Julie and has been published by McGraw-Hill Education (UK) this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-04-01 with Education categories.
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.
Student Misconceptions And Errors In Physics And Mathematics
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Author : Teresa Neidorf
language : en
Publisher: Springer Nature
Release Date : 2019-10-30
Student Misconceptions And Errors In Physics And Mathematics written by Teresa Neidorf and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-10-30 with Education categories.
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
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Author : Alice Hansen
language : en
Publisher: Learning Matters
Release Date : 2014-06-23
Children S Errors In Mathematics written by Alice Hansen and has been published by Learning Matters this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-06-23 with Education categories.
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.
Math Misconceptions
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Author : Honi Joyce Bamberger
language : en
Publisher: Heinemann Educational Books
Release Date : 2010-01-01
Math Misconceptions written by Honi Joyce Bamberger and has been published by Heinemann Educational Books this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-01-01 with Education categories.
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.
Errors And Misconceptions In Maths At Key Stage 2
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Author : Mike Spooner
language : en
Publisher: Routledge
Release Date : 2012-07-26
Errors And Misconceptions In Maths At Key Stage 2 written by Mike Spooner and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-07-26 with Education categories.
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.
Activities To Undo Math Misconceptions
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Author : Honi Joyce Bamberger
language : en
Publisher: Heinemann Educational Books
Release Date : 2010
Activities To Undo Math Misconceptions written by Honi Joyce Bamberger and has been published by Heinemann Educational Books this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with Education categories.
A companion resource to Math Misconceptions, Activities to Undo Math Misconceptions provide explicit instructional ideas and engaging activities that can be implemented in any classroom. Aligned with the NCTM Standards, this practical guide includes classroom vignettes and problem-based situations that provide additional insight into the misconception or error pattern that is being described. Relevant research is offered as well as a range of time-saving instructional suggestions. Activities to Undo Math Misconceptions, Grades 3-5: address the most common errors found in each of the five NCTM content strands: number and operations, algebra, geometry, measurement, and data analysis and probability offer numerous instructional ideas ("What to Do") for correcting common errors and preventing misconceptions from taking root include black line masters for more than 30 activities and games that can be immediately incorporated into your classroom instruction help guide your formative assessment with suggested "Look Fors" as students work through the activities. An accompanying CD contains editable versions of the blackline masters (in both English and Spanish), allowing you to customize the activities for your particular classroom.
Student Misconceptions And Errors In Physics And Mathematics
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Author : Teresa Neidorf
language : en
Publisher:
Release Date : 2020
Student Misconceptions And Errors In Physics And Mathematics written by Teresa Neidorf and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020 with Assessment categories.
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.