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The classification of quadrilaterals : a study of definition /

"This monograph reports on an analysis of a small part of the mathematics curriculum, the definitions given to quadrilaterals. This kind of research, which the authors call micro-curricular analysis, is often undertaken by those who create curriculum, but it is not usually done systematically a...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Usiskin, Zalman
Otros Autores: Griffin, Jennifer, Witonsky, David, Willmore, Edwin
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Charlotte, NC : Information Age Pub., ©2008.
Colección:Research in mathematics education series.
Temas:
Acceso en línea:Texto completo
Descripción
Sumario:"This monograph reports on an analysis of a small part of the mathematics curriculum, the definitions given to quadrilaterals. This kind of research, which the authors 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." "The authors have chosen in this monograph to examine a bit of mathematics for its definitions: the quadrilaterals. They 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 the authors chose this specific area of definition in mathematics because it demonstrates how broad mathematical issues revolving around definitions become reflected in curricular materials. While the authors were undertaking this research, they found that the area of quadrilaterals supplied grist for broader and richer discussions than was first anticipated." "The intended audience includes curriculum developers, researchers, teachers, teacher trainers, and anyone interested in language and its use."--Jacket
Descripción Física:1 online resource (xvi, 104 pages) : illustrations
Bibliografía:Includes bibliographical references (pages 83-84).
ISBN:9781607526001
160752600X
9781617352683
1617352683