Number Theory for In-Service Teachers

Mat 7533-01


Fall 2002


Monday and Wednesday 5:30 p.m. to 6:45 p.m.

Boyd Hall 305


Instructor: Dr. Anthony J. Giovannitti

Office: BH 325

Office number: 770-838-2579




Office Hours: Monday-Thursday 10 a.m. to 11a.m.,

Monday, Wednesday, and Thursday 1 p.m. to 2 p.m., Monday and Wednesday 4 p.m. to 5:30 p.m., or

by appointment.


Credit Hours: 3


Prerequisites: MATH 2703


Course Description: (Non-credit for mathematics major or minor) Elementary number theory with emphasis on relevance to teaching at the P-8 level.


Text: A Friendly Introduction to Number Theory, 2nd edition

Author: Joseph H. Silverman


Topics (include, but not limited to): Natural Numbers, Well Ordering Principle and Mathematical Induction, Pythagorean Triples, Divisibility, Greatest Common Factor and Least Common Multiple, Primes, The Fundamental Theorem of Arithmetic, The Chinese Remainder Theorem, Congruence.

(Selected as time permits): Square and Triangular Numbers, Binomial Coefficients, Gaussian Numbers, Irrational and Transcendental Numbers.


Learning Objectives:


1.     The student will demonstrate a more precise and correct use of mathematical symbols and grammar.

2.     The student will demonstrate a more precise and correct use of English grammar.

3.     The student will state precisely important definitions and theorems of Number Theory and will reword the technical jargon to the level of students in P-8.

4.     The student will show an understanding of the basic facts and tools of Number Theory and will use this understanding to solve related problems.

5.     The student will demonstrate where the topics covered in this course occur in the Quality Core Curriculum (QCC) of Georgia.





Homework. 2-5 problems will be assigned per chapter and one shall be chosen by the instructor to be graded for 0-2 points. The student will chose a problem not assigned to be graded for 0-2 points for correctness and an extra 0-2 points for difficulty. The homework is due on the following class period unless otherwise instructed.


3 Tests 75 minute tests given during class period. Approximate dates are listed below. There will be a weeks notice given before a test.


Project The student will find Number Theory topics that are listed in the Georgia QCCs for P-8 (or high school if the student teaches at the high school level) and discuss how they where covered in the class.


Presentation The presentation will involve an example of using topics from this course in your class at your school. This should be of 10-15 minute duration. Emphasis should be placed on how you as a teacher can incorporate a topic into a lesson in a mathematics class that you teach or will teach. 0-10 points will be given for the presentation. Points awarded on clarity of presentation, effective use of technology and/or manipulatives, and appropriateness to the grade level. 0-5 points will be given for the write-up of the presentation. References are required. Hand written write-ups are not acceptable. A hard copy or an e-copy using MS-Word or a mutually acceptable word-processing file is expected. Points will be awarded for clarity and correctness of both English and Mathematical grammar. The max score for the write-up will be reduced by one point per class period (up to 5 points) if handed in late.


Final The final shall be comprehensive.



Your course grade is based on 7 parts as follows:


Homework 50 points

Test 1 100 points

Test 2 100 points

Test 3 100 points

Project 25 points

Presentations 25 points

Final* 100 points


* The points on the final may be used to replace lowest points scored on a test if less than the final.


The points for the letter grade is:


A > 450 > B > 400 > C > 350 > D > 300 > F.




August 19 First day of class

September 18 Test 1 and topics for presentation due

October 10 Last day to withdraw with a W

October 21- Presentations (write-ups due two class periods

December 4 after presentations.)

October 23 Test 2

November 25 Test 3

December 4 Project due (Last Class)

December 9 Final Exam 5:30 p.m. to 7:30 p.m. in Boyd 305





Academic dishonesty is NOT tolerated. It will result in failure on assignment(s) as well as possible disciplinary sanction(s) as stipulated by university rules. State University of West Georgia Student Conduct Code defines academic dishonesty as cheating, fabrication, plagiarism, and facilitating or allowing academic dishonesty in any academic exercise.


Cheating: using or attempting to use unauthorized materials, information or study aids


Fabrication: falsification or unauthorized invention of any information or citation


Plagiarism: representing the words or ideas of another as one's own. Direct quotations must be indicated and ideas of another must be appropriately acknowledged.


Academic dishonesty in any form compromises your grade and lowers the quality of your diploma. A fellow student who cheats may actually lower your grade, sometimes causing unfair and inflated grading scales. I hope each of you values your college education enough to protect yourself from dishonest classmates. If you are aware of cheating taking place, please contact Dr. Giovannitti and proper action will be taken.