Addressing Misconceptions in Geometry Through Written Error Analyses PDF Download
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Author: Kimberle Ann Kembitzky
Publisher:
ISBN:
Category :
Languages : en
Pages : 307
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Book Description
The results of this study were that students who accurately analyzed their own misconceptions through writing were significantly less likely to repeat them. The factor that most strongly influenced the level of accuracy at which a student was able to analyze a misconception was prior and present mathematical achievement. However, mathematics achievement level alone did not ensure that the misconception was corrected. Spatial ability level alone did not influence the accuracy at which the error was analyzed. However, the higher the spatial ability level the less likely the misconception would be repeated. Other findings indicate that the use of the ERNIe process on a regular basis was more effective than using it on unit tests or randomly on quizzes throughout the year. Participants indicated that using ERNIeS (1) improved their comprehension of the concept; (2) enhanced their metacognitive abilities concerning their errors; (3) were complementary to different learning styles; (4) prevented the repetition of the misconception; and (5) were an excellent study tool.
Author: Kimberle Ann Kembitzky
Publisher:
ISBN:
Category :
Languages : en
Pages : 307
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Book Description
The results of this study were that students who accurately analyzed their own misconceptions through writing were significantly less likely to repeat them. The factor that most strongly influenced the level of accuracy at which a student was able to analyze a misconception was prior and present mathematical achievement. However, mathematics achievement level alone did not ensure that the misconception was corrected. Spatial ability level alone did not influence the accuracy at which the error was analyzed. However, the higher the spatial ability level the less likely the misconception would be repeated. Other findings indicate that the use of the ERNIe process on a regular basis was more effective than using it on unit tests or randomly on quizzes throughout the year. Participants indicated that using ERNIeS (1) improved their comprehension of the concept; (2) enhanced their metacognitive abilities concerning their errors; (3) were complementary to different learning styles; (4) prevented the repetition of the misconception; and (5) were an excellent study tool.
Author: C. Mammana
Publisher: Springer Science & Business Media
ISBN: 9401152268
Category : Education
Languages : en
Pages : 353
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Book Description
In recent years geometry seems to have lost large parts of its former central position in mathematics teaching in most countries. However, new trends have begun to counteract this tendency. There is an increasing awareness that geometry plays a key role in mathematics and learning mathematics. Although geometry has been eclipsed in the mathematics curriculum, research in geometry has blossomed as new ideas have arisen from inside mathematics and other disciplines, including computer science. Due to reassessment of the role of geometry, mathematics educators and mathematicians face new challenges. In the present ICMI study, the whole spectrum of teaching and learning of geometry is analysed. Experts from all over the world took part in this study, which was conducted on the basis of recent international research, case studies, and reports on actual school practice. This book will be of particular interest to mathematics educators and mathematicians who are involved in the teaching of geometry at all educational levels, as well as to researchers in mathematics education.
Author: Liping Ma
Publisher: Routledge
ISBN: 1135149496
Category : Education
Languages : en
Pages : 290
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Book Description
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.
Author: Teresa Neidorf
Publisher: Springer Nature
ISBN: 3030301885
Category : Education
Languages : en
Pages : 173
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Book Description
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.
Author: Susan Perry Gurganus
Publisher: Taylor & Francis
ISBN: 1317409337
Category : Education
Languages : en
Pages : 449
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Book Description
Math Instruction for Students with Learning Problems, Second Edition provides a research-based approach to mathematics instruction designed to build confidence and competence in pre- and in-service PreK–12 teachers. This core textbook addresses teacher and student attitudes toward mathematics, as well as language issues, specific mathematics disabilities, prior experiences, and cognitive and metacognitive factors. The material is rich with opportunities for class activities and field extensions, and the second edition has been fully updated to reference both NCTM and CCSSM standards throughout the text and includes an entirely new chapter on measurement and data analysis.
Author: Susan Perry Gurganus
Publisher: Routledge
ISBN: 1000476022
Category : Education
Languages : en
Pages : 497
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Book Description
This richly updated third edition of Math Instruction for Students with Learning Difficulties presents a research-based approach to mathematics instruction designed to build confidence and competence in preservice and inservice PreK- 12 teachers. Referencing benchmarks of both the National Council of Teachers of Mathematics and Common Core State Standards for Mathematics, this essential text addresses teacher and student attitudes towards mathematics as well as language issues, specific mathematics disabilities, prior experiences, and cognitive and metacognitive factors. Chapters on assessment and instruction precede strands that focus on critical concepts. Replete with suggestions for class activities and field extensions, the new edition features current research across topics and an innovative thread throughout chapters and strands: multi-tiered systems of support as they apply to mathematics instruction.
Author: Meir Ben-Hur
Publisher: ASCD
ISBN: 141660359X
Category : Education
Languages : en
Pages : 162
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Book Description
Presents an instructional approach that helps students in every grade level understand math concepts so they can apply them on assessments, across the curriculum, and outside of school. Provides teaching practices and lesson ideas that give students a stronger foundation for reasoning and problem solving.
Author: Eric de Corte
Publisher: CRC Press
ISBN: 9789026516283
Category : Education
Languages : en
Pages : 232
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Book Description
Word problems have been a staple of mathematics instruction for centuries, yet the rationale for their use has remained largely unexamined. A range of findings have shown how students consistently answer them in ways that fail to take account of the reality of the situations described. This monograph reports on studies carried out to investigate this "suspension of sense-making" in answering word problems. In Part One, a wide range of examples documenting the strength of the phenomenon is reviewed. Initial surprise at the findings was replaced by a conviction that the explanation lies in the culture of the mathematics classroom, specifically the rules implicitly governing the nature and interpretation of the word problem genre. This theoretical shift is reflected in Part Two. A detailed analysis of the way in which word problems are currently taught in typical mathematical classrooms is followed by reviews of design experiments illustrating how, by immersing students in a fundamentally changed learning environment, they can acquire what the authors consider to be more appropriate conceptions about, and strategies for doing, word problems. Part Three turns to a wider discussion of theoretical issues, a further analysis of the features of the educational system considered responsible for outcomes detrimental to many students' understanding and conception of mathematics, and suggestions for rethinking the role of word problems within the curriculum.
Author: Robert B. Ashlock
Publisher: Prentice Hall
ISBN:
Category : Education
Languages : en
Pages : 330
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Book Description
This book is the only one of its kind that instructs teachers to identify typical error patterns, to receive feedback on their diagnosis, and to gain insight regarding why a child may have adopted an incorrect procedure. Revised to link content to the new NCTM Standards, this new edition emphasizes the meaning of operations and using the appropriate method of computation. As in previous editions, it retains its focus on placing paper-and pencil instructional activities within the context of problem solving. Chapter topics cover diagnosing misconceptions and error patterns in computation, providing needed instruction in computation, and helping students who have learned error patterns. For mathematics teachers of special education classes or at the middle school level.
Author:
Publisher:
ISBN:
Category : Education
Languages : en
Pages : 380
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Book Description
