Student Misconceptions and Errors in Physics and Mathematics

Student Misconceptions and Errors in Physics and Mathematics PDF

Author: Teresa Neidorf

Publisher: Springer Nature

Published: 2019-10-30

Total Pages: 173

ISBN-13: 3030301885

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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.

Student Misconceptions and Errors in Physics and Mathematics

Student Misconceptions and Errors in Physics and Mathematics PDF

Author: Teresa Neidorf

Publisher:

Published: 2020

Total Pages: 165

ISBN-13: 9783030301897

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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.

Science Teaching Reconsidered

Science Teaching Reconsidered PDF

Author: National Research Council

Publisher: National Academies Press

Published: 1997-03-12

Total Pages: 102

ISBN-13: 0309175445

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Effective science teaching requires creativity, imagination, and innovation. In light of concerns about American science literacy, scientists and educators have struggled to teach this discipline more effectively. Science Teaching Reconsidered provides undergraduate science educators with a path to understanding students, accommodating their individual differences, and helping them grasp the methodsâ€"and the wonderâ€"of science. What impact does teaching style have? How do I plan a course curriculum? How do I make lectures, classes, and laboratories more effective? How can I tell what students are thinking? Why don't they understand? This handbook provides productive approaches to these and other questions. Written by scientists who are also educators, the handbook offers suggestions for having a greater impact in the classroom and provides resources for further research.

The Cambridge Handbook of Cognition and Education

The Cambridge Handbook of Cognition and Education PDF

Author: John Dunlosky

Publisher: Cambridge University Press

Published: 2019-02-07

Total Pages: 1130

ISBN-13: 1108245102

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This Handbook reviews a wealth of research in cognitive and educational psychology that investigates how to enhance learning and instruction to aid students struggling to learn and to advise teachers on how best to support student learning. The Handbook includes features that inform readers about how to improve instruction and student achievement based on scientific evidence across different domains, including science, mathematics, reading and writing. Each chapter supplies a description of the learning goal, a balanced presentation of the current evidence about the efficacy of various approaches to obtaining that learning goal, and a discussion of important future directions for research in this area. It is the ideal resource for researchers continuing their study of this field or for those only now beginning to explore how to improve student achievement.

Helping Children Learn Mathematics

Helping Children Learn Mathematics PDF

Author: National Research Council

Publisher: National Academies Press

Published: 2002-07-31

Total Pages: 52

ISBN-13: 0309131987

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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.

Ratio and Proportion

Ratio and Proportion PDF

Author: David Ben-Chaim

Publisher: Springer Science & Business Media

Published: 2012-07-30

Total Pages: 275

ISBN-13: 9460917844

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Ratio and Proportion—Research and Teaching in Mathematics Teachers’ Education offers its readers an intellectual adventure where they can acquire invaluable tools to turn teaching ratio and proportion to professionals and school children into an enjoyable experience. Based on in-depth research, it presents a deep, comprehensive view of the topic, focusing on both the mathematical and psychological-didactical aspects of teaching it. The unique teaching model incorporates both theoretical and practical knowledge, allowing instructors to custom-design teacher courses according to their speci?c needs. The book reports on hands-on experience in the college classes plus teachers’ experience in the actual classroom setting. An important feature is the extensive variety of interesting, meaningful authentic activities. While these activities are on a level that will engage pre- and in-service mathematics teachers in training, most can also be utilized in upper elementary and middle school classes. Accompanying the majority of these activities are detailed remarks, explanations, and solutions, along with creative ideas on how to conduct and expand the learning adventure. While primarily written for educators of mathematics teachers, this book can be an invaluable source of information for mathematics teachers of elementary and middle school classes, pre-service teachers, and mathematics education researchers.

Knowing and Teaching Elementary Mathematics

Knowing and Teaching Elementary Mathematics PDF

Author: Liping Ma

Publisher: Routledge

Published: 2010-03-26

Total Pages: 290

ISBN-13: 1135149496

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Studies of teachers in the U.S. often document insufficient subject matter knowledge in mathematics. Yet, these studies give few examples of the knowledge teachers need to support teaching, particularly the kind of teaching demanded by recent reforms in mathematics education. Knowing and Teaching Elementary Mathematics describes the nature and development of the knowledge that elementary teachers need to become accomplished mathematics teachers, and suggests why such knowledge seems more common in China than in the United States, despite the fact that Chinese teachers have less formal education than their U.S. counterparts. The anniversary edition of this bestselling volume includes the original studies that compare U.S and Chinese elementary school teachers’ mathematical understanding and offers a powerful framework for grasping the mathematical content necessary to understand and develop the thinking of school children. Highlighting notable changes in the field and the author’s work, this new edition includes an updated preface, introduction, and key journal articles that frame and contextualize this seminal work.

Helping Children Learn Mathematics

Helping Children Learn Mathematics PDF

Author: Anna Rogers

Publisher:

Published: 2021-09-10

Total Pages:

ISBN-13: 9780730391807

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Training pre-service teachers to become confident mathematics educators is a real challenge for education academics. How can we arm our teaching students with practical tools that boost confidence and make maths enjoyable? Helping Children Learn Mathematics, 4th Australian Edition provides the most comprehensive preparation for your students to teach maths confidently. It brings the classroom to life with digital resources that demonstrate real-world maths applications.This text is rich in ideas for activities, tools and lesson plans. From real-life videos of children learning maths, to demonstrations of manipulative maths tools - this is a truly practical resource. This fourth edition continues to empower our education students to navigate the Australian Curriculum and NAPLAN testing environment successfully.

How Students (mis-) Understand Science and Mathematics

How Students (mis-) Understand Science and Mathematics PDF

Author: Ruth Stavy

Publisher: Teachers College Press

Published: 2000-01-01

Total Pages: 148

ISBN-13: 9780807770412

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In this long-awaited book, Timothy J. Lensmire examines the problems and promise of progressive literacy education. He does this by developing a series of striking metaphors in which, for example, he imagines the writing workshop as a carnival or popular festival and the teacher as a novelist who writes her student-characters into more and less desirable classroom stories. Grounded in Lensmire's own and others' work in schools, Powerful Writing, Responsible Teaching makes powerful use of Bakhtin's theories of language and writing and Dewey's vision of schooling and democracy. Lensmire's book is, at once, a defense, a criticism, and a reconstruction of progressive and critical literacy approaches.

Physics Education

Physics Education PDF

Author: Hans Ernst Fischer

Publisher: Springer Nature

Published: 2022-01-12

Total Pages: 504

ISBN-13: 3030873919

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This book offers a comprehensive overview of the theoretical background and practice of physics teaching and learning and assists in the integration of highly interesting topics into physics lessons. Researchers in the field, including experienced educators, discuss basic theories, the methods and some contents of physics teaching and learning, highlighting new and traditional perspectives on physics instruction. A major aim is to explain how physics can be taught and learned effectively and in a manner enjoyable for both the teacher and the student. Close attention is paid to aspects such as teacher competences and requirements, lesson structure, and the use of experiments in physics lessons. The roles of mathematical and physical modeling, multiple representations, instructional explanations, and digital media in physics teaching are all examined. Quantitative and qualitative research on science education in schools is discussed, as quality assessment of physics instruction. The book is of great value to researchers involved in the teaching and learning of physics, to those training physics teachers, and to pre-service and practising physics teachers.