College Geometry
In the course, geometry content is explored through a problem-based and technology-enhanced approach. Mathematical ideas are learned only through active involvement; lecturing is therefore reduced to a minimum and teaching methodology rests on small group activities, presentations and whole class discussions.
Note and Remember Please:
- Notify me of your absences ahead by e-mail. No voicemail please.
- Work hard from the beginning as there are no extra credit activities.
Materials
Symbols
and notation
Axiomatic Systems
Ants and paths axioms
Finite Geometries
Three-point geometry axioms
Four-line geometry axioms
Euclidean Geometry - Axioms
Euclidean GeometryAxiomatic Systems
Ants and paths axioms
Finite Geometries
Three-point geometry axioms
Four-line geometry axioms
Euclidean Geometry - Axioms
Euclid's Elements in Java (By D. Joyce)
Euclidean Constructions applets (MTH 362)
Triangle Congruence
Triangle congruence Geogebra book
Interactive ASA and SSS proofs
Triangle congruence activity
Exercises (critique)
Pythagorean Theorem
Various proofs in Geogebra
Euclid's Proof
Triangle Centers and SImiarity
Orthocenters and Feuerbach Circle activity
Triangle similarity applets
Side-Splitter Corollary (HW)
Circles
G-Set explorations
G-Set construction
Five Circle Theorems
Circles GGB Book
Non Euclidean Geometries
Poincare DIsk
Circle Limit (Escher)
Tessellations (Escher)
Plane vs. Hyperbolic Tessellation