An ITS dealing with students' algebraic solutions to Physics problems needs to map the student variables and equations onto the physical properties and constraints involved in a known correct solution. Only then can it determine the correctness and relevance of the student's answer. In earlier papers we described methods of determining the dimensions (the physical units) of student variables. This paper describes the second phase of this mapping, determining which specific physical quantity each variable refers to, and which part of the set of constraints imposed by physics principles each student equation incorporates. We show that knowledge of the dimensions of the variables can be used to greatly reduce the number of possible mappings.
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