Problem-Based Geometry for Secondary Teachers
In the course, geometry content is explored through a problem-based and technology-enhanced 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 e-mail. 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
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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