L. Bao & E. F. Redish, contributed paper, GIREP Conference: Physics Teacher Education beyond 2000, Barcelona, Spain (2000).
Abstract: The information that a teacher typically extracts from a multiple-choice exam is limited. Basically, one learns: How many students in my class can answer each question correctly? Careful studies of student thinking [1] demonstrate that student responses may reflect strongly held naïve conceptions and that students may function as if they think about a particular topic using contradictory models (typically their naïve model and the scientific one taught in class). We have developed tools for extracting information about the state of knowledge of a class from multiple-choice exams that goes beyond how many students answered each question correctly. First, a mathematical function, the concentration factor, allows one to determine whether a particular question triggers students’ naïve models. Second, by treating the students as if they can exist in “mixed states” of knowledge, we create methods of extracting measures of the state of confusion of the class. By this we mean how likely the students are to used mixed models. Our method assists in the construction of multiple-choice tests that respond to what is known about the difficulties students bring into classes and we provide ways of extracting more detail about what students have learned than traditional analysis tools.
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