MATH 7200 Foundations of Geometry I
J. Wilson, Instructor, Fall 2008
COURSE SYLLABUS
Course: MATH 7200 Foundations of Geometry I
Instructor: James W. Wilson
110F Aderhold Hall
542-4552
Office hours: I maintain an open door policy for office
hours. I come to the office early each morning and if I am not
tied up in a meeting or talking to another student I am available
to you.
Course Description (From UGa Bulletin):
Advanced Elementary Geometry for prospective teachers of secondary school mathematics: Axiom systems and models; the parallel postulate; neutral, Euclidean, and non-Euclidean geometries.
Prerequisites for MATH 7200: MATH 3000 (Linear Algebra) and MATH 7200 (Intro to Higher Mathematics).
If you do not have these prerequisites, please talk with me. Since differential and inferential calculus are prerequisites for MATH 3000, it is assumed that MATH 7200 students will have calculus background.
A class Listserv has been created for this class. The parameters are set so that only members of the class (and the instructor and the TA) can receive or send to the listserv. To send a message to the whole class, click
Libeskind, Shlomo (2008). Euclidean and Transformational Geometry: A Deductive Inquiry. Sudbury, MA: Jones and Bartlett Publishers.
Time: Wednesday, 4:40 - 7:40
Place: Rm 111/113 Aderhold Hall. Geometer's Sketchpad will be used extensively
Course outline
The Course outline will be built around Problem Solving and Exploration with geometry topics and will follow the development of Lebeskind with the following topics
Basic Notions
Congruence, Constructions and the Parallel Postulate
Circles
Area and the Pythagorean Theorem
Similarity
Isometries and Size Transformations
Composition of Transformations
Other topics
The following software will be used:
1. Geometer's Sketchpad 4.062. Graphing Calculator 3.5
3. Excel
4. Microsoft Word
5. Firefox 2.x
6. Web construction and web editing tools if needed.
7. FTP tools if needed
Projects/Course Requirements.
Develop and carry out one major project. This must be carefully planned and approved by the instructor.
Objectives
To become familiar with and operational on MacIntosh computer
systems.
To use application software to solve mathematics problems.
To use application software to create mathematics demonstrations.
To use application software to construct new ideas of mathematics
for yourself.
To engage in mathematical investigations using software applications.
To engage in some independent investigations of mathematics topics
from the secondary school curriculum or appropriate for that
level.
To communicate mathematics ideas that arise from mathematics
applications on the MacIntosh.
To communicate mathematics ideas via the MacIntosh applications.
To use general tools such as word processing, paint programs,
spread sheets on the MacIntosh to facilitate mathematics investigations
and communication about mathematics investigations.
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