Computer Classification of Triangles and Quadrilaterals PDF Download

Author: J. Richard Dennis
Publisher:
ISBN:
Category : Computer-assisted instruction
Languages : en
Pages : 13

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Author:
Publisher:
ISBN:
Category : Education
Languages : en
Pages : 348

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Author: Zalman Usiskin
Publisher: IAP
ISBN: 160752600X
Category : Education
Languages : en
Pages : 120

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Book Description
This monograph reports on an analysis of a small part of the mathematics curriculum, the definitions given to quadrilaterals. This kind of research, which we call micro-curricular analysis, is often undertaken by those who create curriculum, but it is not usually done systematically and it is rarely published. Many terms in mathematics education can be found to have different definitions in mathematics books. Among these are “natural number,” “parallel lines” and “congruent triangles,” “trapezoid” and “isosceles trapezoid,” the formal definitions of the trigonometric functions and absolute value, and implicit definitions of the arithmetic operations addition, subtraction, multiplication, and division. Yet many teachers and students do not realize there is a choice of definitions for mathematical terms. And even those who realize there is a choice may not know who decides which definition of any mathematical term is better, and under what criteria. Finally, rarely are the mathematical implications of various choices discussed. As a result, many students misuse and otherwise do not understand the role of definition in mathematics. We have chosen in this monograph to examine a bit of mathematics for its definitions: the quadrilaterals. We do so because there is some disagreement in the definitions and, consequently, in the ways in which quadrilaterals are classified and relate to each other. The issues underlying these differences have engaged students, teachers, mathematics educators, and mathematicians. There have been several articles and a number of essays on the definitions and classification of quadrilaterals. But primarily we chose this specific area of definition in mathematics because it demonstrates how broad mathematical issues revolving around definitions become reflected in curricular materials. While we were undertaking this research, we found that the area of quadrilaterals supplied grist for broader and richer discussions than we had first anticipated. The intended audience includes curriculum developers, researchers, teachers, teacher trainers, and anyone interested in language and its use.

Author: LuAnn S. Crosby
Publisher:
ISBN:
Category : Quadrilaterals
Languages : en
Pages : 8

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Author: Jonas Gomes
Publisher: CRC Press
ISBN: 1568815808
Category : Computers
Languages : en
Pages : 562

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Book Description
Computer Graphics: Theory and Practice provides a complete and integrated introduction to this area. The book only requires basic knowledge of calculus and linear algebra, making it an accessible introductory text for students. It focuses on conceptual aspects of computer graphics, covering fundamental mathematical theories and models and the inherent problems in implementing them. In so doing, the book introduces readers to the core challenges of the field and provides suggestions for further reading and studying on various topics. For each conceptual problem described, solution strategies are compared and presented in algorithmic form. This book, along with its companion Design and Implementation of 3D Graphics Systems, gives readers a full understanding of the principles and practices of implementing 3D graphics systems.

Author: Ziming Li
Publisher: World Scientific
ISBN: 9789812704436
Category : Computers
Languages : en
Pages : 314

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Book Description
This volume covers some of the most recent and significant advances in computer mathematics. Researchers, engineers, academics and graduate students interested in doing mathematics using computers will find it good reading as well as a valuable reference.

Author: W Michael Reed
Publisher: CRC Press
ISBN: 1000716066
Category : Business & Economics
Languages : en
Pages : 228

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First published in 1988. Professionals who are on the cutting edge of educational computing discuss, in this provocative new book, one of the most exciting prospects of the field--harnessing the power of the computer to enhance the development of problem-solving abilities. Here is everything that educators will need to know to use computers to improve higher level skills such as problem solving and critical thinking. Current aspects of problem-solving theory, a philosophical case for including programming languages in the curriculum, state-of-the-art research on computers and problem solving, and a look at problem-solving software are included in this comprehensive volume. The research and its application to instruction are grounded in problem-solving theory--making this book a unique and critical addition to the existing literature.

Author: Michael de Villiers
Publisher: Dynamic Mathematics Learning
ISBN: 0557102952
Category : Euclid's Elements
Languages : en
Pages : 221

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Book Description
This book seeks to actively involve the reader in the heuristic processes of conjecturing, discovering, formulating, classifying, defining, refuting, proving, etc. within the context of Euclidean geometry. The book deals with many interesting and beautiful geometric results, which have only been discovered during the past 300 years such as the Euler line, the theorems of Ceva, Napoleon, Morley, Miquel, Varignon, etc. Extensive attention is also given to the classification of the quadrilaterals from the symmetry of a side-angle duality. Many examples lend themselves excellently for exploration on computer with dynamic geometry programs such as Sketchpad. The book is addressed primarily to university or college lecturers involved in the under-graduate or in-service training of high school mathematics teachers, but may also interest teachers who are looking for enrichment material, and gifted high school mathematics pupils.

Author: Ziming Li
Publisher: World Scientific
ISBN: 9814487090
Category : Mathematics
Languages : en
Pages : 310

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Book Description
This volume covers some of the most recent and significant advances in computer mathematics. Researchers, engineers, academics and graduate students interested in doing mathematics using computers will find it good reading as well as a valuable reference.

Author: Sung Je Cho
Publisher: Springer
ISBN: 3319171879
Category : Education
Languages : en
Pages : 917

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Book Description
This book comprises the full selected Regular Lectures from the Proceedings of the 12th International Congress on Mathematical Education (ICME-12), which was held at COEX in Seoul, Korea, from July 8th to 15th, 2012. ICME-12 brought together 4700 experts from 100 countries, working to understand all of the intellectual and attitudinal challenges in the subject of mathematics education as a multidisciplinary research and practice. These selected Regular Lectures present the work of fifty-one prominent mathematics educators from all over the globe. The Lectures cover a wide spectrum of topics, themes and issues and aim to give direction to future research towards educational improvement in the teaching and learning of mathematics education. This book is of particular interest to researchers, teachers and curriculum developers in mathematics education.