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.
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.
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.
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.
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.
Children S Errors In Mathematics
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Author : Alice Hansen
language : en
Publisher: Learning Matters
Release Date : 2017-07-29
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 2017-07-29 with Education categories.
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
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.
Tips For The Mathematics Teacher
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Author : Alfred S. Posamentier
language : en
Publisher: Corwin Press
Release Date : 1998-06-23
Tips For The Mathematics Teacher written by Alfred S. Posamentier and has been published by Corwin Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-06-23 with Business & Economics categories.
Here is an organized, easy-to-use reference that provides the latest research results and practical tips for K-12 math teachers. Each of the chapters presents a collection of tips on different aspects of mathematics teaching in a user-friendly manner. For each tip, the authors give you: * The teaching tip * A discussion of the research project that led to the tip * Practical applications for using the tip * Ways to avoid common difficulties associated with each tip * Resources for details on process and findings Foster questioning and independent thinking - challenge students with stimulating problems. Get higher levels of achievement. You′ll find ideas for improving students′ poor mathematics self-concepts, and for building students′ confidence in their skills and abilities.
Mine The Gap For Mathematical Understanding Grades 6 8
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Author : John SanGiovanni
language : en
Publisher: Corwin Press
Release Date : 2017-09-12
Mine The Gap For Mathematical Understanding Grades 6 8 written by John SanGiovanni and has been published by Corwin Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-09-12 with Education categories.
Being an effective math educator is one part based on the quality of the tasks we give, one part how we diagnose what we see, and one part what we do with what we find. Yet with so many students and big concepts to cover, it can be hard to slow down enough to look for those moments when students’ responses tell us what we need to know about next best steps. In this remarkable book, John SanGiovanni and Jennifer Rose Novak help us value our students’ misconceptions and incomplete understandings as much as their correct ones—because it’s the gap in their understanding today that holds the secrets to planning tomorrow’s best teaching. The authors lay out 180 high-quality tasks aligned to the standards and big ideas of Grades 6–8 mathematics, including number systems, integers, ratio and proportion, equations and expressions, geometry, and statistics and probability. The tasks are all downloadable so you can use or modify them for instruction and assessment. Each big idea offers a starting task followed by: what makes it a high-quality task what you might anticipate before students work with the task four student examples of the completed task showcasing a distinct "gap" commentary on what precisely counts for mathematical understanding and the next instructional steps commentary on the misconception or incomplete understanding so you learn why the student veered off course three additional tasks aligned to the mathematics topic and ideas about what students might do with these additional tasks It’s time to break our habit of rushing into re-teaching for correctness and instead get curious about the space between right and wrong answers. Mine the Gap for Mathematical Understanding is a book you will return to again and again to get better at selecting tasks that will uncover students’ reasoning, better at discerning the quality and clarity of students’ understanding, and better at planning teaching based on the gaps you see.
The Creative Enterprise Of Mathematics Teaching Research
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Author : Bronislaw Czarnocha
language : en
Publisher: Springer
Release Date : 2016-07-28
The Creative Enterprise Of Mathematics Teaching Research written by Bronislaw Czarnocha and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-07-28 with Education categories.
The Creative Enterprise of Mathematics Teaching Research presents the results and methodology of work of the teaching-research community of practice of the Bronx (TR Team of the Bronx). It has a twofold aim of impacting both teachers of Mathematics and researchers in Mathematics Education. This volume can be used by teachers of mathematics who want to use research to reflect upon and to improve their teaching craft, as well as by researchers who are interested in uncovering riches of classroom learning/teaching for research investigations. This book represents the results of a collaboration of instructors discussing their own instruction research, analyzed through a conceptual framework obtained via the synthesis of creativity research and educational learning theories, based upon the work of Piaget and Vygotsky. The editors see an urgent need for creative synthesis of research and teaching, an example of which is presented in the book. Two central themes of the book are the methodology of TR/NYCity model and creativity, more precisely, creativity of the Aha moment formulated by Arthur Koestler (1964) in a very profound but little known theory of bisociation exposed in his work “The Act of Creation”. Incorporation of the theory of bisociation into classroom teaching of mathematics provides the key to enable students who may struggle with mathematics to engage their own creativity, become involved in their learning process and thus reach their full potential of excellence. Creativity in teaching remedial mathematics is teaching gifted students how to access their own giftedness.