Inductive and Deductive Processes in Geometry
June 11-15, 2007

Colorado State University

Center for Learning and Teaching in the West

 

Instructors

Dr. Paul Kennedy

Janet Oien

Shelly Ray Parsons

Dora Gonzales

Laurie Hillman

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 (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