A Generalized Area Formula

A Generalized Area Formula

Presents a method that connects the area formulas for triangles, rectangles, parallelograms, and trapezoids by focusing on the relationships between the bases and heights of each figure. Transformations allow figures to be reconceptualized to establish a general concept of area that can be applied t...

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Bibliographische Detailangaben
Veröffentlicht in:The Mathematics teacher 1992-12, Vol.85 (9), p.752-754
Hauptverfasser: Usnick, Virginia E., Lamphere, Patricia M., Bright, George W.
Format: Artikel
Sprache:eng
Schlagworte:
Area
Circles
College mathematics
Concept Formation
Generalization
Geometric Concepts
Geometric Constructions
Mathematical constructivism
Mathematical Formulas
Mathematics
Mathematics Education
Mathematics Instruction
Mathematics teachers
Parallelograms
Quadrilaterals
Rectangles
Secondary Education
Teachers
Teaching Methods
Transformations (Mathematics)
Triangles (Geometry)
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Beschreibung
Zusammenfassung:Presents a method that connects the area formulas for triangles, rectangles, parallelograms, and trapezoids by focusing on the relationships between the bases and heights of each figure. Transformations allow figures to be reconceptualized to establish a general concept of area that can be applied to other figures. (MDH)
ISSN:0025-5769
2330-0582
DOI:10.5951/MT.85.9.0752