Comparative Effects of Three Sequences of Moves for Teaching Selected Mathematical Concepts to College Students
Thirty undergraduate students enrolled in a mathematics course for the elementary teacher were randomly assigned to three experimental groups. Each group was taught three unrelated mathematical concepts by one of three different sequences of instructional moves--a characterization-exemplification (CE) sequence, an exemplification-characterization-exemplification (ECE) sequence, or an exemplification-characterization-exemplification (interrogative) (ECEI) sequence. The purpose was to determine the effects of these three sequences on immediate acquisition and short-term retention of the concepts. Applying the analysis of variance to a randomized blocks design revealed that for certain concepts: (a) the CE sequence was more effective than either the ECE or the ECEI sequence on an immediate acquisition subtest containing low level items, (b) the ECE sequence was more effective than the CE sequence on a short-term retention test containing high level items, and (c) both the CE and the ECE were more effective on an immediate acquisition test containing high level items. No other significant differences on any of the criterion tests were found.