Course Materials
Course Materials
There is no textbook for this course. All course content will be covered via lectures and homework.
- Sorting graph for $S_4$ using all transpositions as generating set with interval between identity and $(1,2,\ldots,n)$ highlighted. Figure borrowed from page 62 of Eulerian Numbers by T. Kyle Petersen.
- Matsumoto Graph for longest element in $S_4$
- Matsumoto Graph for longest element in $S_5$
- Final Exam. This exam is due by noon on Friday, May 6.
Miscellaneous Materials
- Setting the Stage (PDF)
- Living Proof
- The Secret to Raising Smart Kids | Carol Dweck (article on Scientific American)
- 7 Things Growth Mindset is Not (article on Turn Around for Children)
- Videos on Growth Mindset and Productive Failure
- Grit: the power of passion and perseverance | Angela Lee Duckworth (6:12 min)
- How to Become a Better Learner | Learner Lab (13:30 min)
- Learning Like a Jungle Tiger | Trevor Ragan (5:23 min, similar to previous video)
- Productive Failure/Struggle Skateboard Video 1 (1:25min)
- Productive Failure/Struggle Skateboard Video 2 (0:40 min)
- Productive Failure/Struggle BMX Video (1:39 min)
- Michael Jordan Failure Commercial (0:32 min)
- Mindsets: Fixed Versus Growth (2:19 min)
- Growth Mindset Animation (3:50 min)
- KhanAcademy interview with Carol Dweck about growth mindset (3:06 min)
- Make Mistakes | Michael Starbird (2:11 min)
- Ira Glass on the Creative Process (1:54 min)
- Productive Failure | Manu Kapur | TEDxLugano (17:28 min)
- The State of Being Stuck | Ben Orlin (blog post on Math with Bad Drawings)
- The Chinese Farmer | Alan Watts (2:26 min)
- Do Schools Kill Creativity? | Ken Robinson (19:22 min)
- The Learner Lab Podcast
- Do Hard Things | The Learner Lab (2:41 min)
- The Subtle Art of the Mathematical Conjecture (article on Quanta Magazine)
- Lessons from My Math Degree That Have Nothing to Do with Math (6 min read on Medium)
- Is Mathematics Invented or Discovered? | Roger Penrose (4:14 min)
- What is Mathematics? The Most Misunderstood Subject (short article by Dr. Robert H. Lewis, Professor of Mathematics, Fordham University)