Main Concepts


Mathematical Proofs

Countable and Uncountable sets

Congruence of Integers


5-10 minutes each

Summary of Activity

The first group of screencasts covers chapter 2 from “Book of Proof”. It’s the chapter on Logic.

The second group introduces a few other sections in further chapters, namely: Congruence of Integers, Cardinality of countable and uncountable sets, Combining proofs techniques  (see The City (Unit) for more information).

Notes and Insights

In order to vary the way I teach, I use direct instruction in chapter 1 and then the flipped classroom in chapter 2. In the third unit of the semester, students are mostly studying independently, with even more variety in how they discover, study and practice the content (see The City (Unit) for more information).