
Analytical Reasoning (a minimum of three
semester hours in one course)
An effective education should further students’
ability to use analytical reasoning. This General Education requirement
recognizes two distinct, though related, types of analytical reasoning:
Abstract and Quantitative. While it is certainly desirable for students
to improve their abilities in both types of reasoning, Earlham students
must take only one course carrying a minimum of three credit hours
from a list of designated classes in either abstract reasoning or
quantitative reasoning.
Abstract Reasoning
Students may fulfill the Analytical Reasoning
requirement through study in Abstract Reasoning by completing one
course from a list of designated courses. Courses qualifying for
credit in Abstract Reasoning typically share these characteristics:
• They focus substantially on properties
of classes of abstract models and operations that apply to them.
• They provide experience in generalizing
from specific instances to appropriate classes of abstract models.
• They provide experience in solving concrete
problems by a process of abstraction and manipulation at the abstract
level. Typically this experience is provided by word problems
which require students to formalize real-world problems in abstract
terms, to solve them with techniques that apply at that abstract
level, and to convert the solutions back to concrete results.
Quantitative Reasoning
One of the key forms of knowing in our modern,
technological society comes through the use and critical evaluation
of quantitative information. The ability to interpret such information
is fundamental to effective and responsible decision-making.
Students may fulfill the Analytical Reasoning
requirement through study in Quantitative Reasoning by completing
one course from a list of designated courses.
General education courses in Quantitative Reasoning
foster students’ abilities to generate, interpret and evaluate
quantitative information. In particular, these courses help students
develop abilities in such areas as:
• Using and interpreting formulas, graphs,
tables and basic statistical ideas such as averages, variability
and probability.
• Representing mathematical ideas symbolically,
graphically, numerically and verbally.
• Using mathematical and statistical ideas
to solve problems in a variety of contexts.
• Using simple models such as linear dependence,
exponential growth or decay, or normal distribution.
• Making estimates and checking the reasonableness
of answers.
• Recognizing the limitations of mathematical
and statistical methods.
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