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, well-defined, or meaningless • Recognize examples and non-examples 2. Utilize representations and connections • Identify situations that can be modeled using mathematics
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college level mathematics, high school mathematics, specific mathematics topics