Course Materials
Below you will find notes and handouts that we have used in class, as well as some other useful stuff. We will add to the problem collection as the semester progresses.
- Setting the Stage (PDF)
- Elements of Style for Proofs (PDF)
- Videos on Growth Mindset and Productive Failure
- Productive Failure/Struggle Skateboard Video (1:46 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)
- Grit: the power of passion and perseverance | Angela Lee Duckworth (6:12 min)
- KhanAcademy interview with Carol Dweck about growth mindset (3:06 min)
- Make Mistakes | Michael Starbird (2:11 min)
- Learning Like a Jungle Tiger | Trevor Ragan (5:23 min)
- Ira Glass on the Creative Process (1:54 min)
- Problem Collection for Mathematical Reasoning (PDF)
- Quiz 1 (PDF)
- Quiz 2 (PDF)
- Quiz 3 (PDF)
- Quiz 4 (PDF)
- Quiz 5 (PDF)
- Quiz 6 (PDF)
- Quiz 7 (PDF)
Don’t just read it; fight it! Ask your own question, look for your own examples, discover your own proofs. Is the hypothesis necessary? Is the converse true? What happens in the classical special case? What about the degenerate cases? Where does the proof use the hypothesis?