ProblemBased Geometry for Secondary Teachers
In the course, geometry content is explored through a problembased and technologyenhanced approach connecting secondary mathematics curricula with undergraduate mathematics and pedagogical content. 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 email. No voicemail please.
 Work hard from the beginning as there are no extra credit activities.
Materials
Symbols
and notation
Euclid's Elements in Java (By D. Joyce)
Euclidean Constructions applets
Euclid's Elements in Java (By D. Joyce)
Euclidean Constructions applets

Triangles:
 HW: Heights on Geoboard paper
 Properties of centers
 Triangle constructions
 making sense of visual proofs
 manipulatives
 manipulatives in GGB
 Paper Folding Proof (YouTube)
 Theorem generalization 1
 Theorem generalization 2 and 3
Pythagorean Theorem:

Quadrilaterals:
 Quadrilaterals  Applet
 Quadrilaterals

Minimal Definitions
 Properties of Quads
 Chart
 Guide
Html Chart
CCSS
Areas on the Geoboard
Measurement GeoGebra Book

Polygons
 Transformations Geogebra Book
 Composition of 3 reflections
Exterior angle sum  Applet
Exterior and interor angle sum  HW
Transformations
Areas on the Geoboard
Measurement GeoGebra Book