#87 overall
Introduction to Mathematical Thinking
Coursera
5 recommenders · 6 threads · recommended in 5 years, 2013–2021 · score 5.2
A Coursera course by Keith Devlin (Stanford) introducing mathematical language and reasoning, covering the habits of mathematical thought as a foundation for later math study. Commenters describe it as challenging but manageable.
Commenters call it a fantastic introduction to mathematical thinking and a good starter for real analysis, with one calling it one of their favorite MOOCs.
Recommendations by year
20062026
I know he mentions people doing their own googling, but I'd like to recommend this coursera course: https://www.coursera.org/course/maththink
It's one of my favorite MOOCs of all time, a fantastic intro to mathematical thinking.
Introduction to Mathematical Thinking (https://www.coursera.org/learn/mathematical-thinking/home/we...). A foundational course on mathematical language and thinking, a great refresher course, at least for me after leaving school a long time ago
To piggy back on this, Devlin has an excellent free course on Coursera roughly following the textbook.
Coursera's 'Introduction to Mathematical Thinking' is a great starter course for real Analysis https://www.coursera.org/learn/mathematical-thinking
A couple of years ago I did the Introduction to Mathematical Thinking course on Coursera [1]. Even though I found it hard, I enjoyed it and learned a lot, and I feel I got some insight into mathematical though processes. Recommended.
[1] https://www.coursera.org/learn/mathematical-thinking
Earlier this year I did the Stanford Introduction to Mathematical Thinking course on Coursera [1]. I found it fairly challenging but managed to finish with a distinction. The instructor was particularly good.
I'm now working through UCSD Interaction Design specialisation [2], which is a series of courses followed by a project. So far its been very good, although the short course format (3-4 weeks) means that there isn't time for much of a community to form among the participants. I've learned a lot though.
I'd recommend both courses.
[1] https://www.coursera.org/course/maththink
[2] https://www.coursera.org/specializations/interaction-design
I did #27 "Introduction to Mathematical Thinking" during Feb-April this year. I enjoyed it a lot and found it challenging without being impossible to complete. Finished with a distinction and a feeling of great satisfaction.
I'm now doing Coursera's Interaction Design specialisation [1], which is proving to be very informative and a lot of fun.
If you're considering doing a MOOC then I'd definitely recommend it. Choose a free, short-ish course to start with, make the commitment, and dive in.
[1] https://www.coursera.org/specializations/interaction-design
In addition to all the wonderful resources already suggested above, you should check out the MOOCs on Mathematical Thinking (https://class.coursera.org/maththink-2012-001/class/index) and Algorithms (https://class.coursera.org/algs4partI-2012-001/class/index) on Coursera.