Geometry, MAT 631, Spring 2009
Elementary geometry from an advanced standpoint.
This course is part of the
Mathematics Teacher Transformation Institute, an
NSF Math & Science Partnership program.
|Geometry, MAT631, Spring 2009
Grading Policy: 11 in class projects, no exams.
Homework: read over material for each upcoming project.
Prerequisites: participation in the
|Professor C. Sormani
Office: Gillet Hall 200B
Email: sormanic (at) member.ams.org
Classical Euclidean Geometry using postulates and axioms
will be combined with a more modern transformation perspective
in this course tailored to provide teachers with an in depth
understanding of the geometry in New York State's
new mathematics curriculum. Classic texts by mathematicians
which lead the teachers to discover the mathematics for themselves
through intense exploratory exercises. They will be supplemented
with techniques from Linear Algebra and coordinate geometry.
Texts: (to be provided by MTTI)
Other Supplies: (not provided, bring your own)
- "Geometry Revisited" by Coxeter and Greitzer MAA New Mathematical Library
"Geometric Transformations I" by Yaglom MAA New Mathematical Library
"Challenging Problems in Geometry" by Posamentier and Salkind Dover
"Geometric Inequalities" by Kazarinhoff MAA New Mathematical Library
The projects in the following syllabus may be changed or reordered
as we would like the projects to be relevant to the participants. Please
bring topics you would like to see discussed to the second class meeting.
Compasses, Straight Edges, graph paper spiral notebook (bring to classes)
The New York State Mathematics Standards (reference at home/school)
Jan 28: Initial Meeting:
Questions students have asked and how to encourage questions.
Feb 4: Incoming Assessment Questionaire
Required Liousville Exam (necessary for statistical evaluation).
HW: bring more questions and bring in your school's geometry textbooks to class on Feb 4.
Fill out questionaire about how you would respond to a variety
of student questions.
Feb 11: Project 1: Solid Geometry: Skews and Dilations
Homework: start reading Yaglom Chapter 1.
Read wikipedia printout on proofs of Pythagoras
Feb 18: No meeting (winter break)
Read wikipedia entry on Pythagoras.
Feb 25: Project 2: Proofs of Pythagoras
Homework: Finish reading Yaglom Chapter 1 (pp 1-40)
March 4: Project 3: Translations from Yaglom (Chapter 1)
Homework: Read pages 1-11 of Coxeter Greitzer
March 11: Project 4: Rotations from Yaglom (Chapter 1)