Syllabus
for Math 305, Principles of Geometry,
Fall 2004

Instructor:
Dr. Elizabeth Arnold

e-mail: arnoldea@math.jmu.edu

Phone: 568-6532

URL: www.math.jmu.edu/~arnoldea

Office: Burruss 116

Office Hours: M, W 3:30-4:30pm and by appointment

COURSE DESCRIPTION: This course will cover additional topics in Geometry that middle school teachers can use in their own classrooms and that will enhance their understanding and appreciation for geometry. It is understood that the students have had topics in basic Euclidean geometry in the pre-requisite courses, Math 107, 108 and 207. Topics will include basic measurement, compass and straightedge constructions, tessellations, symmetries, finite geometry, non-euclidean geometry, and other topics. A major component of this class will be group explorations and projects. Each Wednesday, you will break into groups of 4-5 students and work on projects that will allow you to discover geometric properties and results, rather than learning them from lecture, or text or memorization. Mondays will be a traditional lecture, followed by a quiz on this information before the group projects on Wednesday.

TEXT: Symmetry, Shape, and Space by Kinsey and Moore.

ATTENDANCE: Attendance is mandatory.

GRADING: The grading breakdown is as follows:

GROUP WORK: Group work, also called cooperative learning, is an important and effective learning strategy. You are encouraged to work together in class and out of class. {\em However}, when turning in projects or homework, you must write up the work yourself. If you turn in work that is not your own, you must have the author's name on it as well. Not crediting the work correctly is a violation of the honor code.

MAKE-UP POLICY: In general, make ups for quizzes

will not be given. If possible, students should inform the instructor before an exam is missed. A make up exam will only be given for approved excuses. If you cannot notify the instructor before the exam period, you must contact the instructor within 48 hours, or you forfeit your right to a make-up.

HONOR CODE: Copying work done by others, either in-class or out of class, is an act of scholastic dishonesty and will be prosecuted to the full extent allowed by University policy. Giving assistance to others on quizzes or exams is also an act of scholastic dishonesty.

e-mail: arnoldea@math.jmu.edu

Phone: 568-6532

URL: www.math.jmu.edu/~arnoldea

Office: Burruss 116

Office Hours: M, W 3:30-4:30pm and by appointment

COURSE DESCRIPTION: This course will cover additional topics in Geometry that middle school teachers can use in their own classrooms and that will enhance their understanding and appreciation for geometry. It is understood that the students have had topics in basic Euclidean geometry in the pre-requisite courses, Math 107, 108 and 207. Topics will include basic measurement, compass and straightedge constructions, tessellations, symmetries, finite geometry, non-euclidean geometry, and other topics. A major component of this class will be group explorations and projects. Each Wednesday, you will break into groups of 4-5 students and work on projects that will allow you to discover geometric properties and results, rather than learning them from lecture, or text or memorization. Mondays will be a traditional lecture, followed by a quiz on this information before the group projects on Wednesday.

TEXT: Symmetry, Shape, and Space by Kinsey and Moore.

ATTENDANCE: Attendance is mandatory.

GRADING: The grading breakdown is as follows:

- Projects and Homework - 25%
- Quizzes - 25%
- Midterm Exam - 25%
- Final Exam - 25%

GROUP WORK: Group work, also called cooperative learning, is an important and effective learning strategy. You are encouraged to work together in class and out of class. {\em However}, when turning in projects or homework, you must write up the work yourself. If you turn in work that is not your own, you must have the author's name on it as well. Not crediting the work correctly is a violation of the honor code.

MAKE-UP POLICY: In general, make ups for quizzes

will not be given. If possible, students should inform the instructor before an exam is missed. A make up exam will only be given for approved excuses. If you cannot notify the instructor before the exam period, you must contact the instructor within 48 hours, or you forfeit your right to a make-up.

HONOR CODE: Copying work done by others, either in-class or out of class, is an act of scholastic dishonesty and will be prosecuted to the full extent allowed by University policy. Giving assistance to others on quizzes or exams is also an act of scholastic dishonesty.

305 Fall 2004 tentative outline

Week 1 August 23:
1.1 Measurement

Homework: 1.1 #6, 7, 8, 9, 10, 14

Project: 1.1 #1-4, 11,12, 13, 15, 16, Prove Pythagorean Theorem

Project: 1.1 #1-4, 11,12, 13, 15, 16, Prove Pythagorean Theorem

Week 2 August 30: 1.2
Polygons

Homework: Worksheets

Project: Similar triangles and Inaccessible distances

Project: Similar triangles and Inaccessible distances

Week 3 September 6: 3.1
Ruler and Compass Constructions

Homework: Worksheets

Project:

Project:

Week 4 September
13: 3.2 Pentagons and the Golden Ratio

Homework:

Project:

Project:

Week 5 September
20: 4.1 Regular and Semi-Regular Tessellations

Homework:

Project:

Project:

Week 6 September
27: 4.2, 4.3 Irregular Tessellations

Homework:

Project:

Project:

Week 7 October 4:
Introduction to Symmetry and Exam review

Wednesday October 6: MID-TERM EXAM Chapters 1,3,4.

No homework or project this week.

No homework or project this week.

Week 8 October 11: Ch.
5 Symmetry

Homework:

Project: Kaleidescopes

Project: Kaleidescopes

Week 9 October 18:
Finite Geometry: Hamming Codes

Homework:

Project:

Project:

Week 10 October 25: 7.1, 7.2,
7.3 Polyhedra

Homework:

Project: Platonic Solids - ``Polydrons"

Project: Platonic Solids - ``Polydrons"

Week 11 November 1: Ch. 9
Spirals and Fibbonacci Numbers

Homework:

Project:

Project:

Week 12 November 8: Ch. 10
Perspective and Optical Illusions

Homework:

Project:

Project:

Week 13 November 15: Ch. 11
Non-Euclidean Geometry

Homework:

Project:

Project:

Week 14 November 15: Ch. 11
More Non-Euclidean Geometry

Nov. 24: Thanksgiving Break, No project

Week 15 Nov. 29: Open

Homework:

Project:

Project:

Monday, December 6, 1:30-3:30pm, FINAL
EXAM