The Classification of Quadrilaterals: A Study in Definition (Hc) (Research in Mathematics Education) - Hardcover

Buch 2 von 13: Research in Mathematics Education

Usiskin, Zalman

 
9781593116958: The Classification of Quadrilaterals: A Study in Definition (Hc) (Research in Mathematics Education)
Hardcover
ISBN 10: 1593116950 ISBN 13: 9781593116958
Verlag: Information Age Publishing, 2007

Inhaltsangabe

A volume in Research in Mathematics EducationSeries Editor Barbara J. Dougherty, University of MississippiThis monograph reports on an analysis of a small part of the mathematics curriculum, the definitions given toquadrilaterals. This kind of research, which we call micro-curricular analysis, is often undertaken by thosewho 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 "isoscelestrapezoid," the formal definitions of the trigonometric functions and absolute value, and implicit definitions ofthe arithmetic operations addition, subtraction, multiplication, and division.Yet many teachers and students do not realize there is a choice of definitions for mathematical terms. Andeven 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 therole 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 somedisagreement in the definitions and, consequently, in the ways in which quadrilaterals are classified and relate to each other. The issues underlyingthese differences have engaged students, teachers, mathematics educators, and mathematicians. There have been several articles and a number ofessays on the definitions and classification of quadrilaterals. But primarily we chose this specific area of definition in mathematics because itdemonstrates how broad mathematical issues revolving around definitions become reflected in curricular materials. While we were undertaking thisresearch, 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.

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Reseña del editor

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.

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Verlag
Information Age Publishing
Erscheinungsdatum
2007
Sprache
Englisch
ISBN 10 
1593116950
ISBN 13 
9781593116958
Einband
Tapa dura
Anzahl der Seiten
124
Herausgeber
Usiskin Zalman
Kontakt zum Hersteller
Nicht verfügbar
Verantwortliche Person
Nicht verfügbar

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