ERIC Number: ED215885
Record Type: Non-Journal
Publication Date: 1981-Sep-1
Reference Count: N/A
Research on Process Models of Basic Arithmetic Skills, Technical Report No. 303. Psychology and Education Series - Final Report.
Suppes, Patrick; And Others
This report presents a theory of eye movement that accounts for main features of the stochastic behavior of eye-fixation durations and direction of movement of saccades in the process of solving arithmetic exercises of addition and subtraction. The best-fitting distribution of fixation durations with a relatively simple theoretical justification consists of a mixture of an exponential distribution and the convolution of two exponential distributions. The eye movements themselves were found to approximate a random walk that fit rather closely in both adult and juvenile subjects; the motion postulated by the normative algorithm ordinarily taught in schools. Certain structural features of addition and subtraction exercises, such as the number of columns, and the presence or absence of regrouping, are well known to affect their difficulty. In this study, regressions on such structural variables were found to account for only a relatively small part of the variation in eye-fixation durations. (Author/MP)
Publication Type: Reports - Research
Education Level: N/A
Sponsor: National Inst. of Education (ED), Washington, DC.; National Science Foundation, Washington, DC.
Authoring Institution: Stanford Univ., CA. Inst. for Mathematical Studies in Social Science.