a useful abstraction! interesting special cases, See Ahmed's email: A great piece about SCG Hi Karl, I wrote this great piece about SCG. You might want to forward to Mitch. Examples to illustrate this framework might also help. I suggest that we stay away from the word "rubric". A rubric is essentially a description of what a teacher does. SCG is beyond that. The instructor defines a problem solving domain by giving a notation for expressing instances, classes of instances, and solutions. Since not every solution expressible in the solutions notation can be a valid solution for any given instances, the instructor provides a predicate that decides whether a solution is a valid solution for a given problem. Since an instance can have more than one solution, the instructor also provides a function that associates a quality for each solution. Since the notation for expressing classes of instances can be intensional, the instructor also provides a predicate that decides whether an instance belongs to a particular class of instances. The students start with a limited knowledge about their ability to find good solutions for a given instance or class of instances. Namely, the quality of the best solution they can find for a particular instance or class of instances. In an SCG game, they are encouraged to put out objectively refutable claims about their ability to solve a certain instance or class of instances. Other game participants are also encouraged to examine claims put out by others and either agree, strengthen, or refute them. As the game proceeds, students get targeted feedback, from other students, about: 1. misconceptions they have about their ability to solve problems. 2. their relative ability to solve problems. Instructors can intervene to strengthen claims that are not at the optimal level or to refute incorrect claims. Where is the side-choosing game? claims about instance or class of instances. ForAll instance in Instances Exists solution in Solutions solution is legal for instance AND effort to find solution is small AND solution has good quality