Author Archives: Michael

About Michael

Willful Luddite.

Interesting Article

I think this article will be of interest (if anyone is still looking at this site):   http://www.npr.org/blogs/health/2011/08/29/139973743/think-youre-an-auditory-or-visual-learner-scientists-say-its-unlikely

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An article I stumbled on this morning.

http://opinionator.blogs.nytimes.com/2011/04/21/teaching-math-advanced-discussion/ It might be a result of the goals of the college, and how we reinforce and choose certain qualities in our faculty, but I know that all of my colleagues and I feel the same way as Dr. Mighton. … Continue reading

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And I thought the last article was depressing…

http://www.truthdig.com/report/item/why_the_united_states_is_destroying_her_education_system_20110410/

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Journal Entry for 4/5/2011

A student’s modeling of a business problem: a case representaticve of students’ struggle to see meaning in mathematics Teaching Mathematics and Its Applications Volume 25 Issue 3 Abstract This article analyzes the modeling approach used by one student in a … Continue reading

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Depressingly pertinent article

A Perfect Storm in Undergraduate Education, Part 2

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Journal Entry for 4/5/2011

Traditional instruction of differential equations and conceptual learning Discrete Mathematics and its applications Teaching Mathematics and Its Applications Volume 29 Issue 2 Abstract Procedural and conceptual learning are two types of learning, related to two types of knowledge, which are … Continue reading

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Aims and Outcomes for “A Gentle Introduction to Topology”

A course I would like to teach would be a gentle introduction to topology, in which I could help enterprising students bridge the gap between calculus and higher mathematics. The course would introduce concepts in the foundations of mathematics and … Continue reading

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Journal Entry for 3/29/2011

A note on arc length Discrete Mathematics and its applications Teaching Mathematics and Its Applications Volume 28 Issue 3 Abstract We consider how the arc length integral of the graph of a function in the plane is connected with the … Continue reading

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Peer Evaluation

I sat in on a class taught by a colleague of mine at Northern Virginia Community College for my teaching observation. The class was Differential Equations taught by Joe Agnich. Joe and I have discussed teaching philosophies, syllabi, etc. in … Continue reading

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Journal Entry for 3/22/2011

A short and elementary proof of the infinitude of primes Discrete Mathematics and its applications Teaching Mathematics and Its Applications Volume 27 Issue 4 This article briefly discusses Euclid’s proof of the infinitude of primes (a proof by contradiction that … Continue reading

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