Mathematics, Statistics, and Computer Science
college students, advanced mathematics, textbooks, reading
One of the barriers in the transition to advanced mathematics is that the proofs and ideas in even the best mathematics texts must be read more carefully than many students are accustomed to. Yet in order to learn to write proofs well, one must learn how to read proofs well. Borrowing an idea from Lewis Ludwig, I flipped my introduction to proofs (discrete structures) course in Spring 2016 with the use of reading guides. Each day, students were responsible for reading a section of the text and completing a worksheet that highlighted the main points, asked students to create their own examples of the concepts introduced, and probed the inner workings a proof or two in depth. These reading guides then formed the basis for classroom discussion.
Janssen, Mike, "Improving Proof-Writing with Reading Guides" (2016). Faculty Work: Comprehensive List. 546.