Bello, I. and J. R. Britton, Topics in Contemporary Mathematics, 7th Edition.
New York, NY: Houghton Mifflin Company, 2001.
This course covers the theory of problem solving as it applies to different areas in mathematics, such as: sets, numerations systems,number theory, counting techniques, probability, statistics, network theory, and algebra. In addition, each week, interactive activities using the Internet will be explored to understand how the Internet can be incorporated within the mathematics classroom. The prerequisites for this course are MAEN 500 and 501 or a knowledge of algebra.
Problem Solving Theory
Sets and Venn Diagrams
Numerations Systems
Number Theory
Counting Principles. Permutations, and Combinations
Probability: Conditional Probability, Independent Events, and Mathematical Expectation
Statistics, Measures of Central Tendency and Dispersion and Statistical Graphs
Problem Solving in Geometry, Network and Graph Theory
Problem Solving in Algebra with Functions and Graphs
1. to understand the theoretical framework of mathematical problem solving
2. to develop a repertoire of problem solving methods
3. to relate problem solving methods to the different areas of mathematics
4. to incorporate the Internet into the Mathematics curriculum
5. to be introduced to some recent developments in mathematics to be included in the K-8 curriculum
1. 12 Weekly homework assignments which include
a) knowledge of problem solving (60%)
b) application of problem solving to the classroom (12%)2. Problem Solving Project to explore any mathematical topic (15%) (see possible projects)
3. Final Exam (13%)
The last possible date to withdraw from this course without penalty is: March 4, 2002.
