A Study of Errors in Geometry

A Study of Errors in Geometry PDF Author: Frank Lee Wright
Publisher:
ISBN:
Category :
Languages : en
Pages : 162

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Book Description

A Study of Errors in Geometry

A Study of Errors in Geometry PDF Author: Frank Lee Wright
Publisher:
ISBN:
Category :
Languages : en
Pages : 162

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Book Description


A Study of Errors Found on Examination Papers in Plane Geometry

A Study of Errors Found on Examination Papers in Plane Geometry PDF Author: Margaret B. Lewis
Publisher:
ISBN:
Category :
Languages : en
Pages : 184

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Book Description


Geometry Testing with Analysis of Errors

Geometry Testing with Analysis of Errors PDF Author: Ruth Onetta Lane
Publisher:
ISBN:
Category :
Languages : en
Pages : 312

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Book Description


Error Patterns in Computation

Error Patterns in Computation PDF 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.

Children's Errors in Mathematics

Children's Errors in Mathematics PDF Author: Alice Hansen
Publisher: Learning Matters
ISBN: 1473905532
Category : Education
Languages : en
Pages : 305

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Book Description
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.

Common Mistakes in Teaching Elementary Math—And How to Avoid Them

Common Mistakes in Teaching Elementary Math—And How to Avoid Them PDF Author: Fuchang Liu
Publisher: Routledge
ISBN: 1315511754
Category : Education
Languages : en
Pages : 236

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Book Description
Learn the most effective ways to teach elementary math, no matter how much experience you have with the subject. In this book, Fuchang Liu takes you through many common mistakes in math instruction and explains the misunderstandings behind them. He points out practices that should be avoided, helping you to adjust your lessons so that all students can achieve success. You’ll discover how to... - Increase your confidence with core math principles and reasoning - Set your students on the path toward eventually developing more complex math skills - Improve student achievement by approaching problems in logical yet creative ways - Overcome common challenges faced by students and teachers - Teach problem solving for different learning styles Every chapter reconsiders well-established ways of teaching all areas of elementary math, from addition and subtraction to statistics and graphs. Helpful examples and tips are scattered throughout the book, offering revisions to the way these topics are often presented in the classroom. Also included are group study ideas for principals and instructional coaches so your school or district can work on the book together. With this practical guide, you’ll be ready to help students truly develop their math understanding.

A Course in Metric Geometry

A Course in Metric Geometry PDF Author: Dmitri Burago
Publisher: American Mathematical Soc.
ISBN: 0821821296
Category : Mathematics
Languages : en
Pages : 434

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Book Description
"Metric geometry" is an approach to geometry based on the notion of length on a topological space. This approach experienced a very fast development in the last few decades and penetrated into many other mathematical disciplines, such as group theory, dynamical systems, and partial differential equations. The objective of this graduate textbook is twofold: to give a detailed exposition of basic notions and techniques used in the theory of length spaces, and, more generally, to offer an elementary introduction into a broad variety of geometrical topics related to the notion of distance, including Riemannian and Carnot-Caratheodory metrics, the hyperbolic plane, distance-volume inequalities, asymptotic geometry (large scale, coarse), Gromov hyperbolic spaces, convergence of metric spaces, and Alexandrov spaces (non-positively and non-negatively curved spaces).

Addressing Misconceptions in Geometry Through Written Error Analyses

Addressing Misconceptions in Geometry Through Written Error Analyses PDF 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.

Error Patterns in Computation

Error Patterns in Computation PDF Author: Robert B. Ashlock
Publisher: Macmillan College
ISBN:
Category : Education
Languages : en
Pages : 256

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Book Description
As your students learn about mathematical operations and methods of computation, they may adopt erroneous procedures and misconceptions, despite your best efforts. This engaging book was written to model how you, the teacher, can make thoughtful analyses of your student's work, and in doing so, discover patterns in the errors they make. The text considers reasons why students may have learned erroneous procedures and presents strategies for helping those students. You will come away from the reading with a clear vision of how you can use student error patterns to gain more specific knowledge of their strengths on which to base your future instruction. Book jacket.

Avoid Silly Mistakes in Mathematics

Avoid Silly Mistakes in Mathematics PDF Author: Rajesh Sarswat
Publisher: Independently Published
ISBN: 9781520443973
Category : Mathematics
Languages : en
Pages : 138

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Book Description
AVOID SILLY MISTAKES IN MATHEMATICS Learning math not only requires strong fundamentals but also a lot of practice, and making mistakes is part of that process. Making errors in math is a good thing, and can help the students to learn and explore math in a better way. However, repeating same mistakes again and again over an extended period will not benefit the students and will be harmful to their confidence. There are different types of silly errors that students make. Students should try to identify these mistakes with the help of techniques explained in this book and after that should make efforts to cut down and rectify these mistakes for getting good grades in schools. The Categories of silly mistakes are: 1. Careless or Casual Silly Mistakes 2. Calculation Errors 3. Conceptual Errors This book is an effort to guide students, teachers, and parents to take necessary measures to improve upon the habit of committing silly mistakes by students. The various techniques mentioned in this book if practiced or taught to students in the correct manner will help them reducing the quantum of stupid mistakes to a minimal and will further improve their confidence. The book also includes a collection of 100 most common silly mistakes committed by students in Arithmetic, Algebra, Trigonometry, Calculus and other branches of Mathematics across the globe in the age group of 10 to 18 years. After going through the book, students will also be able to learn about some of their misconceptions in Mathematics like: 1. 0 is even or odd? 2. Why 0/0 is not 1? 3. 0 is prime or composite? 4. Volume and Capacity of a container are not same, 5. Perimeter and Circumference of a 2-D figure are not same, 6. Pi is 22/7; still, it is irrational, 7. Why x to the power 0 is 1? 8. Why factorial 0 is 1? 9. What are the factors and multiples of 0? 10. All real numbers are polynomials. and much more ABOUT THE AUTHOR Rajesh Sarswat is presently working in a senior capacity in the Government of India. Despite the pressing bureaucratic compulsions he has to negotiate with on a daily basis, he pursues his keen interest in the field of Mathematics and has done a lot of research on various techniques and concepts on quick Mathematics. This book is the result of his extensive studies in this field for the last 20 years. He qualified in 13 All India Level Competitive Examinations, some of which are the toughest and the most gruesome, along with his research and writing work. His earlier book "Be a Human Calculator" became very popular among students due to the observation based calculation tricks explained in the book. The present book is his fourth book. Apart from writing on mathematical subjects, Rajesh also writes fiction and creative non-fiction. He is also having a passion for teaching mathematics and is a very popular teacher for his innovative and entertaining ways of presenting the subject. Rajesh lives in Ghaziabad, Uttar Pradesh, India with his wife and son.