Strategic Support of Algebraic Expression Writing

The examination of user data as a basis for developing production models of user behavior has been a major focus in the PAT Algebra I Tutor's development. In recent work, we have investigated relationships between related tasks and the solution strategies displayed by students. To solve a PAT Algebra I problem, students must complete several related arithmetic and algebraic tasks. The sequences in which these tasks are completed suggest problem-solving strategies of students. We have observed a characteristic pattern of students' success rates on related tasks. We have also observed that students' success on specific skills (e.g. constructing a symbolic representation) may differ depending on whether students previously carried out related tasks in the same problem (e.g. solving an analogous arithmetic question). This information has important implications for our user model and our modeling approach.