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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...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Otros Autores: | , , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Charlotte, NC :
Information Age Pub.,
©2008.
|
| Colección: | Research in mathematics education series.
|
| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Definitions in mathematics
- An introductory example-isosceles triangles
- Hierarchies, hierarchical chains, and partitions
- Quadrilaterals
- Quadrilaterals and quadrangles
- Quadrilaterals as polygons
- Types of quadrilaterals
- Quadrilaterals in Euclid
- Parallelograms
- Showing that definitions are equivalent
- The hierarchy underneath parallelograms
- Trapezoids
- Choosing between exclusive and inclusive definitions
- Trapezoids on the coordinate plane
- Rectangles
- Analysis of defining conditions for rectangles
- Why are so many different defining conditions in use?
- possible influence of non-Euclidean geometries
- Isosceles Trapezoids
- Symmetry as a defining condition
- Should rectangles be isosceles trapezoids?
- Kites
- Equivalent defining conditions for kites
- Isosceles triangles as degenerate kites
- Rhombuses (Rhombi)
- Squares
- Defining quadrilaterals using only the hierarchy
- Cyclic quadrilaterals
- Properties of quadrilaterals exhibited in hierarchies
- Types of quadrilaterals as intersections of other types
- Hierarchical properties of angles
- Hierarchical properties of sides
- Hierarchical properties of diagonals
- Hierarchical properties of symmetry
- Hierarchical positions on the coordinate plane.