Verification of Algebra Step Problems: A Chronometric Study of Human Problem Solving. Technical Report No. 253. Psychology and Education Series.

This paper reports an experiment designed to test theoretical relations among fast problem solving, more complex and slower problem solving, and research concerning fundamental memory processes. Using a cathode ray tube, subjects were presented with propositions of the form "Y is in list X" which they memorized. In later testing they were asked to decide whether simple and compound statements involving the memorized facts were true or false. Solution times for the test problems were measured. Contrary to hypothesis it was found that the compound problems of the form "Y is in list X and Z is in list X" were solved as rapidly as simple statements. A modeling technique is suggested and rationalized. Suggestions for further research are offered. (SD)