Area of Knowledge: Mathematics Component

Learning Objectives

1. The student should be able to demonstrate proficiency in mathematical thinking.
   Mathematical thinking has many facets, including the construction of mathematical arguments using formal deductive reasoning, the utilization of theoretical models, and application of general mathematical principles in problem solving. The student should demonstrate the ability to:
   • invoke formal mathematical reasoning;
   • understand mathematical proofs;
   • recognize fallacies in faulty mathematical arguments.
   
   
2. The student should be able to demonstrate proficiency in the reading and writing of mathematics.
   Students should be able to:
   • utilize and interpret mathematical notation;
   • read and write mathematical arguments;
   • write sound and coherent solutions to mathematical problems.

Criteria

1. Include the development of mathematical thinking as the primary objective of the course.
   Mathematical thinking does not come easily to most. Its development demands time and effort to an extent that nonmathematical course objectives should be secondary.

2. Regularly engage the student in the process of doing mathematics.
   The broader collegiate goal of active learning presumes that one learns by doing. this is certainly true in mathematics.

3. Regularly engage the student in the process of reading and writing mathematics.