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The Classification of Quadrilaterals : A Study in Definition (PB). Usiskin<|
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Item specifics
- Condition
- PublishedOn
- 2007-12-04
- Title
- The Classification of Quadrilaterals: A Study in Definition (PB)
- ISBN
- 9781593116941
- Series
- Research in Mathematics Education
- Publication Year
- 2007
- Type
- Textbook
- Format
- Paperback
- Subject Area
- Educational Technology
- Language
- English
- Publication Name
- The Classification of Quadrilaterals: a Study in Definition
- Publisher
- IAP
- Subject
- Mathematics, Teaching
- Number of Pages
- 124 Pages
About this product
Product Information
A volume in Research in Mathematics Education Series Editor Barbara J. Dougherty, University of Mississippi 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.
Product Identifiers
Publisher
IAP
ISBN-13
9781593116941
eBay Product ID (ePID)
86741437
Product Key Features
Subject Area
Educational Technology
Series
Research in Mathematics Education
Publication Name
The Classification of Quadrilaterals: a Study in Definition
Format
Paperback
Language
English
Subject
Mathematics, Teaching
Publication Year
2007
Type
Textbook
Number of Pages
124 Pages
Additional Product Features
Country/Region of Manufacture
United States
Editor
Barbara J. Dougherty, Zalman Usiskin
Item description from the seller
Business seller information
Value Added Tax number:
- GB 724498118
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