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:
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 real-world 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.
Armstrong Atlantic State University
Department of Mathematics
Math 2008 – Foundations of Numbers and Operations
Instructor: Mrs. Donna Bryant
Course Outline:
1. The Art of Problem Solving
1.1 Solving Problems by Inductive Reasoning
1.2 Number Patterns
1.3 Strategies for Problem Solving
2. The Basic Concepts of Set Theory
2.1 Symbols and Terminology
2.2 Venn Diagrams and Subsets
2.3 Operations with Sets
2.4 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. Numeration and Mathematical Systems
4.1 Historical Numeration Systems
4.2 Arithmetic in the Hindu-Arabic System
4.3 Conversion Between Number Bases
4.4 Clock Arithmetic and Modular Systems
4.5 Properties of Mathematical Systems
5. Number Theory
5.1 Prime and Composite Numbers
5.3 Greatest Common Factor and Least Common Multiple
6. The Real Numbers and Their Representations
6.1 Real Numbers, Order, and Absolute Value
6.2 Operations, Properties, and Applications of Real Numbers
6.3 Rational Numbers and Decimal Representation
6.4 Irrational Numbers and Decimal Representation
6.5 Applications of Decimal and Percents
9 Geometry
9.1 Points, Lines, Planes, and Angles
9.2 Curves, Polygons, and Circles
9.3 Perimeter, Area, and Circumference
9.4 The Geometry of Triangles: Congruence, Similarity, and the Pythagorean Theorem
9.5 Space Figures, Volume, and Surface Area
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
Armstrong Atlantic State University
Department of Mathematics
Math 2008 – Foundations of Numbers and Operations
Instructor: Mrs. Donna Bryant
Planned Schedule:
Aug 20 – Sep 5 / 5 / Chapter 1, 2Sep 10 / Test 1
Sep 12 – Sep 24 / 4 / Chapter 3
Chapter 3 Take Home Exam – Due Oct 1
Sep 26 – Oct 24 / 8 / Chapter 4, 5, 6
Oct 29 / Test 3
Oct 31 – Nov 19 / 6 / Chapter 9, 11
Nov 26 / Test 4
Nov 28 - Dec 5 / 3 / Chapter 12, 13
Dec 7 / Review , last day of class
Dec 12 (Wed) / 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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