ERIC Number: ED070295
Record Type: Non-Journal
Publication Date: 1972-Oct-6
Reference Count: N/A
Variability in the Proof Behavior of College Students in a CAI Course in Logic as a Function of Problem Characteristics. Psychology and Education Series.
Kane, Michael Timothy
An investigation of student proof behavior in a complex computer-assisted instruction (CAI) setting is presented. Using 125 logic derivation problems, the responses of 23 students, enrolled in the Stanford Logic-Instructional System, were evaluated to determine the amount of variation occurring in the structure of their proofs. By assigning the student proofs to equivalence classes the investigation indicated that there was relatively little variability in the earliest problems and considerable variability in the latter. Regression analysis revealed that the structural complexity of the problems were a good predictor of the amount of variation in the proofs. In general, the author concluded, the most significant kinds of variability depend on the number and type of rules that are available when the proof is done. The attempt to identify patterns of proof behavior that characterized groups of students failed due to the non-heterogeneity of the logic problems. (MC)
Publication Type: N/A
Education Level: N/A
Sponsor: National Science Foundation, Washington, DC.
Authoring Institution: Stanford Univ., CA. Inst. for Mathematical Studies in Social Science.