Armstrong Atlantic State University
Department of Mathematics
Math 2008 – Foundations of Numbers and Operations
Time: MW 4:30 – 5:45 p.m. UH 123
Fall 2007
Instructor: Mrs. Donna Bryant
Email: Donna.Bryant@armstrong.edu
Office: UH288 Phone 927-5290
Home Phone 598-0205
Required textbook: Mathematical Ideas by Miller, Heeren, Hornsby, 11th Edition.
Calculator:
Basic Arithmetic (Scientific preferred – can do xy). Graphing NOT necessary.
Course Description: This course is an introductory mathematics course for early childhood education majors. The
course will emphasize the understanding and use of the major concepts of numbers and operations. As a general
theme, strategies of problem solving will be used and discussed in the context of various topics.
Course Objectives:
 Become familiar with inductive reasoning, pattern recognition, and problem-solving techniques.
 Use the notations and operations of set theory.
 Apply arithmetic, geometric, higher-order thinking, and statistical methods to modeling and solving realworld situations.
Prerequisite: MATH 1001 or MATH 1101 or MATH 1111 or MATH 1113.
Attendance: Statistical studies have shown there is a large positive correlation between coming to class and high
grades. Be here! Read first, listen to lecture, participate in any in-class activities, try the homework and check your
work during the in-class problem sessions. Note that early non-attendance jeopardizes the receipt of financial aid.
Do not miss an exam except due to uncontrollable circumstances and alert me to this immediately and prior to exam
time.
Exams and Grading: There will be 4 regular exams and a final exam. Each will be worth 20% of your grade. The
final exam will be cumulative. Exams will mimic the assigned homework problems. 90%+ is an A; 80% to < 90% a
B; 70% to <80% a C; 60% to <70% a D; and below 60% an F.
Makeup Work: In the event of an absence from a test day, proper documentation of your excuse must be produced.
Makeups are likely to be harder since you have had more time to study.
ADA: Every attempt will be made to assist students with physical or learning impairments that have been
documented with a letter from AASU’s Director of Disabilities Services.
Getting Help: There is a mathematics tutorial lab available to you in Solms Hall 206. Please visit it (most mornings,
some evenings--even Sundays, usually).
Cheating: Do your own work on the in-class tests. Violators are brought to AASU’s Honors Court. An ‘F’ will be
assigned as your course grade.
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Armstrong Atlantic State University
Department of Mathematics
Math 2008 – Foundations of Numbers and Operations
Instructor: Mrs. Donna Bryant
Course Outline:
1.
1.1
1.2
1.3
The Art of Problem Solving
Solving Problems by Inductive Reasoning
Number Patterns
Strategies for Problem Solving
2.
2.1
2.2
2.3
2.4
The Basic Concepts of Set Theory
Symbols and Terminology
Venn Diagrams and Subsets
Operations with Sets
Surveys and Cardinal Numbers
3. Introduction to Logic
3.1 Statements and Quantifiers
3.2 Truth Tables
3.3 The Conditional
3.5 Using Euler Diagrams to Analyze Arguments
4.
4.1
4.2
4.3
4.4
4.5
Numeration and Mathematical Systems
Historical Numeration Systems
Arithmetic in the Hindu-Arabic System
Conversion Between Number Bases
Clock Arithmetic and Modular Systems
Properties of Mathematical Systems
5. Number Theory
5.1 Prime and Composite Numbers
5.3 Greatest Common Factor and Least Common Multiple
6.
6.1
6.2
6.3
6.4
6.5
The Real Numbers and Their Representations
Real Numbers, Order, and Absolute Value
Operations, Properties, and Applications of Real Numbers
Rational Numbers and Decimal Representation
Irrational Numbers and Decimal Representation
Applications of Decimal and Percents
9
9.1
9.2
9.3
9.4
9.5
Geometry
Points, Lines, Planes, and Angles
Curves, Polygons, and Circles
Perimeter, Area, and Circumference
The Geometry of Triangles: Congruence, Similarity, and the Pythagorean Theorem
Space Figures, Volume, and Surface Area
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11 Counting Methods
11.1 Counting by Systematic Logic
11.2 Using the Fundamental Counting Principle
11.3 Using Permutations and Combinations
11.5 Counting Problems Involving “not” and “or”
12 Probability
12.1 Basic Concepts of Probability
12.2 Events Involving “not” and “or”
13 Statistics
13.1 Visual Displays of Data
13.2 Measures of Central Tendency
13.3 Measures of Dispersion
13.4 Measure of Position
13.5 The Normal Distribution
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Armstrong Atlantic State University
Department of Mathematics
Math 2008 – Foundations of Numbers and Operations
Instructor: Mrs. Donna Bryant
Planned Schedule:
Aug 20 – Sep 5
Sep 10
Sep 12 – Sep 24
5
Sep 26 – Oct 24
Oct 29
Oct 31 – Nov 19
Nov 26
Nov 28 - Dec 5
Dec 7
8
Dec 12 (Wed)
4
6
3
Chapter 1, 2
Test 1
Chapter 3
Chapter 3 Take Home Exam – Due Oct 1
Chapter 4, 5, 6
Test 3
Chapter 9, 11
Test 4
Chapter 12, 13
Review , last day of class
Final (5 pm)
Sep 3 – Labor Day Holiday
Oct. 8 – Last day to drop with W.
Nov. 21 - 24 – Thanksgiving Holidays
Office Hours: UH288
MW 1:30 – 2:30
Tues 1:10 – 2:40
Thur 1:00 – 2:30
And by appointment
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