Geometry
Topics that Engage Students
Friday, August 6, 2010,
1:00 PM  4:55 PM
and Saturday, August 7, 2010,
1:00 PM  4:15 PM
Sarah
Mabrouk, Framingham State University, Organizer 
There are a variety of geometry
courses: some take an intuitive, coordinate, vector, and/or synthetic approach;
others focus on Euclidean geometry and include metric and synthetic approaches
as axiomatic systems; and still others include topics in Euclidean and
nonEuclidean geometries and provide opportunities for comparisons and
contrasts between the two.
What approaches are effective?
What are
successful topics with which to begin geometry courses?
What are some
enjoyable proofs to share with students?
What are effective ways in which to explore polyhedra,
tessellations, symmetry groups and coordinate geometry?
How can we help students develop visualization skills for two and
three dimensions as well as help them develop the mathematical reasoning skills
important for studying/exploring/applying geometry at any level?
What are effectual ways in which to compare and contrast Euclidean
and nonEuclidean geometry?
How can we
convey the beauty of geometry to students?
This session invites presentations
addressing these questions as well as those involving geometric topics from
other courses including those for preservice teachers. Presenters are
encouraged to share interesting applications, favorite proofs, activities,
demonstrations, projects, and ways in which to guide students to explore and to
learn geometry. Presentations providing resources/suggestions for those
teaching geometry courses for the first time or for those wishing to
improve/redesign their geometry courses are encouraged.
1:00  1:15 PM 
Activities to Enliven a Course on Euclidean and
nonEuclidean Geometries
Sarah J Greenwald, Appalachian State University
We will discuss the student reaction to the course before
and after the implementation of these projects and classroom activities, and
the benefits and challenges of including them in the course.

1:20  1:35 PM 
Finite Geometries and Games
Kay Ellen Smith, Saint Olaf College

1:40  1:55 PM 
Excursions on the Sphere
Kristen Schemmerhorn, Dominican University

2:00  2:15 PM 
Engaging Students in Learning about Scaling Davida Fischman, CSU San Bernardino

2:20  2:35 PM 
Geometric Art and Algebraic Surfaces
Ivona Grzegorczyk, California State University Channel Islands

2:40  2:55 PM 
Projective Geometry Visualizing proofs and
interpretations in Euclidean Space
Xiaoxue Hattie Li, Emory & Henry College

3:00  3:15 PM 
Noneuclidean geometry across the '7 grade /
major' spectrum
Jack Mealy, Austin College

3:20  3:35 PM 
A Feuerbach Refresher
Len Smiley, University of Alaska Anchorage

3:40  3:55 PM 
An InquiryBased Approach To MiddleLevel
Geometry For Preservice Secondary Teachers
Diana White, University of Colorado Denver

4:00  4:15 PM 
Developing Visualization Skills through an
Exploration of Platonic Solids Using Technology and Traditional Methods
Cheryll Elizabeth Crowe, Eastern Kentucky University

4:20  4:35 PM 
Informal Geometry for Aspiring TV/Film Directors
and K8 Educators Lucy Dechene, Fitchburg State University

4:40  4:55 PM 
Reuse, Recycle, ReCeva
Martha Waggoner, Simpson College

1:00  1:15 PM 
Centers of Triangles (for GSP 5 and Geogebra)
Jane Cushman, Buffalo State College
Centers of Triangles Centers of Triangles  GeoGeBra

1:20  1:35 PM 
GeoGebra and the FermatTorricelli Point
Marc Renault, Shippensburg University

1:40  1:55 PM 
Minkowski Geometry And Special Relativity
Theodore Theodosopoulos, Saint Ann's School

2:00  2:15 PM 
Baserunner's Optimal Path
Frank Morgan, Williams College

2:20  2:35 PM 
A Modern Geometry Class Works Overtime Premalatha Junius, MansfieldUniversity

2:40  2:55 PM 
On Drawing Stuff Mark Schwartz, Ohio Wesleyan
University
* A ruler isn't allowed but it would be permissible to use
a linkage. What's a linkage? That's part of the talk.

3:00  3:15 PM 
A Golden Graph Sam Northshield, SUNY
Plattsburgh

3:20  3:35 PM 
Origami and Symmetric Colorings of the Platonic
Solids Lisa Mantini,
Oklahoma State
University

3:40  3:55 PM 
Using Biology to Teach Geometry: Protein
Structure Tessellations in Matlab
Majid Masso, George Mason University

4:00  4:15 PM 
Nearest Neighbors: Mathematics and Geography
Leon Hannah Tabak, Cornell College

This
page was created and is maintained by
S.
L. Mabrouk,
Framingham State University.
This
page was last modified on Tuesday, July 27, 2010.