About 15 years ago, I heard a math education professor give a talk about how computer algebra systems would change the kinds of questions teachers would ask high school and first year college students. Exercises in factoring and polynomial long division would become de-emphasized just as those asking students to extract square roots by hand to the third decimal place were deemphasized after calculators became widespread. New types of questions exploring patterns would be possible.
The need for remote teaching and assessment rising this past year has renewed my interest in this topic. Many instructors have had to make all their assessments open-book, open-internet.
So my question has two parts. One is about a curriculum, particularly at the precalculus level: Is there a curriculum that emphasizes topics and skills that CAS would not render "irrelevant" (for lack of a better term) and that utilizes CAS to enrich understanding? The other part is about assessments/problem sets: is a there a body of wolfram alpha-proof questions out there for assessing students?
Edit: I regret implying that factoring will be irrelevant with CAS. In that particular case, I am looking for questions that would build or assess this skill even if the student answering the questions has access to CAS -perhaps something like this Open Middle problem.
