Summary of Mathematical Processes (Learning Outcome 9)
One of the ways in which college level mathematics courses differ from high school
mathematics courses is in the expectation that students will grow and develop in their
mathematical sophistication.
In particular, students will develop new ways of acquiring
and using mathematical knowledge.
These are goals that go above and beyond the
learning of specific mathematics topics and are often not explicitly stated in textbooks or
by college mathematics professors.
1. Understand understanding
•
Recognize the validity of different approaches
•
Recognize the equivalence of different answers
•
Analyze errors to identify misunderstandings
•
Analyze levels of understanding
•
Explain multiple ways of understanding the same idea
•
Recognize when language use
is ambiguous, welldefined, or meaningless
•
Recognize examples and nonexamples
2. Utilize representations and connections
•
Identify situations that can be modeled using mathematics
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 '10
 Bergthold,Trisha
 Math, Logic, college level mathematics, high school mathematics, specific mathematics topics

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