We have created an “Intellectual Need-Provoking Task” corresponding to each topic in first-semester calculus.
These tasks are meant for students to work on prior to and/or after watching the corresponding instructional videos.
Each task is set up in a way so that the corresponding mathematical concept is required for solving or understanding the task. In this way, the tasks are designed to help students understand why the mathematical concept is important or useful.
For each task, there is a corresponding video of two students attempting to solve the problem; these videos are designed to highlight the various ways of thinking students might employ while working on the task, as well as to demonstrate the various ways students might struggle with the task.