I use this in my high school classes Algebra classes, I might have used it one time once in a summer math 121 course.
(1)I first everyone get out two pieces of paper. I want everyone to make up two binomials and multiply them. I do reguire them to make sure that the binomial terms do not have a common factor. I also tell them to not use any numbers larger than 10.
(2)Then I want them to double check their answer and write it on the other sheet of paper and number it as problem #1.
(3)Then I have them repeat the process at least one more time.
(4) Then they are to give the piece of paper with the problems to another class member and they try to factor the problems.
I have modified this sometimes to make a game out of it where you earn points if you stump someone, you earn points for factoring the problem.
Sometimes I make the competition in teams and some times it is all individual and students can earn a few bonus points on that paticular assignment.
Marcus, you should try this in your college class since you haven't. You can then check to see if students do better on the factoring exam and compare results to past classes. This will help you complete the full cycle. Making games out of math problems is a great technique to help students get motivated. Thanks for sharing this.
I agree with Becky. Definitely do this with your college students and compare those results.
I third that notion!