Monday and Wednesday 5:30 p.m. to 6:45 p.m.
Boyd Hall 305
Instructor: Dr. Anthony J. Giovannitti
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
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.
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 week’s notice given before a test.
Project The student will find Number Theory topics that are listed in the Georgia QCC’s 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:
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.
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