Tuesday, July 20, 2010

My Review of "Mathematics, Philosophy and the Real World" from The Teaching Company

Great Teacher and Great Message!

Review Date: July 20, 2010
Course rating: 4 stars (out of 5)

"This is a good course from TTC. Here are my positives and one area for the course to improve on:

Positives:
+ Prof Judith Grabiner is very clear and passionate - on par with other top professors from TTC. She can make tough topics v easy to understand - mark of a great teacher!
+ She gave good real-life examples for her arguments/ideas (e.g., Ford Pinto case (in lecture 3) and correlation examples (lecture 4))
+ I love her summaries at the end of some lectures (she provided key questions/checklists as well as summary bullet points)
+ I love it when answers to some numerical / technical questions are provided at the end of some lectures (other TTC courses should aim to do this as well)
+ I love it how she explained key mathematics from first principles (e.g., permutation and combination) - i.e., providing the WHY rather than just giving the HOW (or giving the formulae)
+ Good use of diagrams, slides and examples
+ I particularly love her simple and clear description of non-Euclidian geometry (including Einstein's application of it in General Theory of Relativity) and its impact on philosophy, culture and art
+ I also particularly liked her message that the application of mathematics should be balanced between certainty/precision and probabilistic/statistical(individual-by-individual) thinking. Particularly, I like her message that, at the end of the day, humans are "humans" (i.e., need to consider the moral, emotional and ethical implications of life and mathematics - can't be completely rational)

Area to improve on:
- I feel that some of the lectures are too slow / too easy. I recommend packing more insights per lecture (e.g., some of the Euclidian lectures could perhaps be combined into one or two lectures; Plato's Republic and Meno messages that are relevant to the course could have been combined into one or two lectures, etc.)

Overall, it's a good course presented by a great teacher."

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