Reasoning

Reasoning (RSNG) was a CAA course focused on multiple math subjects from game theory to geometry as it delves into critical thinking and problem solving. This course was offered at Bethlehem, Bristol, Chestertown, Frederick and Santa Cruz.

Course Description

From the CTY Course Catalog (1999):

The ability to convince others of the correctness of an equation, the validity of an experiment, or the persuasiveness of an argument in a legal brief all rely on the tools of reasoning and logic. This course introduces students to the building blocks of serious inquiry—mathematical reasoning, symbolic logic, and formal proof.

Students begin by considering what can be proven and how to prove it, and then learn about deductive reasoning, which uses logic to draw conclusions from basic premises. Students extend their knowledge by considering examples from a wide range of related fields, including game theory, geometry, and the sciences. As they explore the tools of reasoning, students learn how to organize their knowledge and present solutions to problems in a simple, coherent, and logical manner. They learn to analyze the structure of proofs, manipulate variables, and solve problems directly, indirectly, and by induction. By the end of the course, students strengthen critical thinking and problem solving skills, develop a clear understanding of formal proofs, and hone their abilities to construct and defend logical arguments.