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 |
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Problem solving |
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Reasoning and proof | Randomly uses different numbers with different operations without providing a reason why. |
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Communication | No explanation beyond answer | Writes for minimal communication to arrive at a solution and communicate it. |
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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 |
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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 |
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Accurately uses mathematical concepts and procedures |
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Dr. Robert Sweetland's Notes ©