Inductive and Deductive Processes in Geometry
June 11-15, 2007
Colorado State University
Center for Learning and Teaching in the West
Instructors
Monday, June 11
Morning Session Points, Lines and Planes
9:00 – 10:00 am Introductions
Folding Explorations
10:00 – 11:15 am Compass Constructions
11:00 – 11:15 am Break
11:15-12:15 Sketchpad Constructions
12:15 – 1:00 pm Lunch
Afternoon Session More with Lines and Angles
1:00 – 2:00 pm Ladders
and Saws (Angles, parallel lines, special angles, triangle sum) Relationships
Transversal Twister
2:00 – 3:30 pm Sesame Street (Classification by angles, sides and size)
Can you make it?
3:30 – 3:50 Plane 3D Model – Stage I
3:50 – 4:00 Closure
Homework: Drawing Intersections
Reading: Facilitating Effective Group Behavior pg. 7-13
Journal Entry
Tuesday, June 12
Morning Session More About Triangles
8:30 – 9:00 am Plane 3D Model – Stage II
9:00 – 10:15 am Road
Kill Café (SSS, SAS, ASA, AAS, HL) Menu
Instructions
10:15 – 10:30 am Break
10:30-12:00 pm CPCTC – Discovering Geometry
· Group Presentations
12:00 – 12:45 pm Lunch
Afternoon Session Basic Proofs
12:45 – 2:15 pm Digit Place Game
2:15 – 2:30 pm Break
2:30 – 3:15 pm Flow Charts – Discovering
Geometry
3:15 – 3:45 Build Plane 3D Model – Stage III
3:45 – 4:00 Closure
Homework: Reading: The
van Hiele Model of the Development of Geometric Thought
Journal Entry
Wednesday, June 13
Morning Session Proofs all Geometry Teachers Should Know
8:30 – 9:45 am Jigsaw Proofs ASA
Proof Matching Proof Matching
9:45 – 10:00 am Break
10:00-12:00 pm Proofs you wished you had known before Geometry
Proofs Smartboard Proofs
Original Article
12:00 – 1:00 pm Lunch
Afternoon Session Circles and Geometric Probability
1:00 – 2:00 pm Geometry in a Circle
2:00 – 2:45 pm Soccer Angles
Circles and Sketchpad
2:45 – 3:00 pm Break
3:00 – 4:00 pm Geometric Probability: approximating ¹ (multiple ways)
4:00 – 4:10 pm Closure
Homework: Reading: Sprinklers
and Amusement Parks – What do they have to do with Geometry?
Journal Entry
Thursday, June 14 – Polygons and Area
Morning Session Polygons and Area
8:30 – 9:30 am Article Discussion and Group Sharing
9:30 – 10:00 am Do you see what I see?
10:00 – 10:15 am Break
10:15 – 11:15 am Polyomino Blowups
11:15 – 12:00 pm Magic Circle
12:00 – 1:00 pm Lunch
Afternoon Session Volume and Solids
1:00 – 1:45 pm Versatiles
1:45 – 2:00 pm Break
2:00 – 2:30 pm Nets of a Cube
2:30 – 3:30 pm Block Party (Posters of 3D structures)
4:00 pm Holt Rinehart Winston Reception
Friday, June 15 – Solids and Volume
Morning Session Connecting Geometry and Algebra
8:30 – 9:00 am Walking around the Block – wrap up yesterday’s
Block Party Project
9:00 – 9:45 am Build the highest tower using marshmallow and toothpicks
9:45 – 10:00 am Break
10:00 – 11:30 am Painted Cube
11:30 – 12:30 pm Lunch
12:30 – 1:30 pm Exploring Irrationals
1:30 – 2:30 pm Extending Irrationals
2:30 – 3:00 pm Closure