Problem Solving Scoring Guide with categories for reasoning and proof, communication, representation, attitude or habits of mind, and mathematical understanding
Descriptor  OK, good try, unclear  Pretty good, gets the job done  Exceptional, awesome, goes beyond 


Problem solving 




Reasoning and proof  Randomly uses different numbers with different operations without providing a reason why. 



Communication  No explanation beyond answer  Writes for minimal communication to arrive at a solution and communicate it. 


Representation  Attempts to represent, solve, and explain the problem by comparing it to similar problems conceptually or procedurally, but the solution isn't accurate and the explanation isn't appropriate.  Attempts to represent, solve, and explain the problem by comparing it to similar problems conceptually or procedurally, but can't explain why either way seems to work.  Can represent, solve, and explain the problem conceptually, but not procedurally  Can represent, solve, and explain the problem conceptually and procedurally 
Attitude or Habits of mind 

Listens to challenging problems and will persist in watching others as they attempt to solve the problem offering minimal suggestions.  Is fascinated and challenged by problems and engages in openminded attempts and persists until a solution and proof is presented that seems reasonable.  Is fascinated and challenged by problems and engages in openminded attempts and persists until a solution and proof is adequate enough to overcome his or her skepticism and gain his or her confidence. 
Mathematical understanding 


Accurately uses mathematical concepts and procedures 

Dr. Robert Sweetland's Notes ©