Outline
The Beauty of Geometry
Short overview of some geometric visualization ideas in the teaching of Mathematics.
Table of Contents
(Educational) time we live in
Quest for understanding
Elementary Geometry
- Four dancing points
- Angle concept
- Lines and Angles
- Triangle
- Circle area
- Triangle on the Top of a Square
- Line Through Centroid
- Intersection of Two Squares
- Geometric Series Formula Geometrically
- Midpoints of a Quadrilateral
- Regular Octagon
- Geometric transformations
- Fixed point theorem
- Ratio of triangles areas
- Find an area
- Find an area 2
- Fagnano problem
- Nine point circle 1
- Nine point circle 2
- Logarithmic spiral
- Central and Inscribed Angle
- Cyclic Quadrilateral
The Beauty of Conics
- The Beauty of Conics
- Parabola Geometrically
- Parabola Geometrically vs. Analytically
- Gardener Definition and Reflection on Ellipse
- 'Whispering galleries'
- Parabola, Ellipse, Hyperbola Analogy
- Folding Ellipse
- Folding Parabola
- Another view on Ellipse and Hyperbola
- Dandelin
- Parabola's section
- Archimedes proofs - the oldest Calculus
Saper Vedere - Saper Raccontare
- Visualization and smart simplicity
- Visualization and smart simplicity - Radian
- Visualization and smart simplicity - Sinus
- Visualization and smart simplicity - Absolute value
- Visualization of abstract mathematical concepts: Derivative1
- Visualization of abstract mathematical concepts: Visualizing Linear ...
- Visualization of abstract mathematical concepts: Visualizing the unvisible
- Geometric paradox
- Visualizations or illusions?
STEM