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Locus of difficulty in multistage mathematics problems
Oleh:
Sweller, John
;
Ayres, Paul
Jenis:
Article from Journal - ilmiah internasional
Dalam koleksi:
The American Journal of Psychology vol. 103 no. 2 (1990)
,
page 168.
Topik:
Mathematics
;
Multistage Mathematics Problem
;
Difficulty
Fulltext:
1423141.pdf
(2.41MB)
Isi artikel
Previous studies have suggested that the use of a means-ends problem- solving strategy imposes a heavy cognitive load which interferes with learning. In this article, we discuss some of the contributing factors. A computational model was used to suggest that cognitive load is at a maximum when subgoals are manipulated and calculated. This allowed us to predict that on two-move problems, most errors should occur during the calculation of the subgoal rather than the goal (labeled the stage effect).E xperiment 1 supported this hypothesis using two-move geometry problems. Experiment 2 found that the presentation of unfamiliar problems tended to lead to the use of a meansends strategy, and this strategy, in turn, increased the likelihood of the stage effect. Experiment 3 revealed that if the problem-solving environment was altered to reduce the likelihood of a means-ends strategy being used, error location became random. Experiment 4, using three-move problems, found that most errors were located at the subgoal immediately preceding the goal. Protocol analysis in Experiment 5 indicated that means-ends analysis also was most likely to be used at the subgoal immediatley preceding the goal. It was concluded that means-ends analysis imposes a heavy cognitive load during the calculation of subgoal stages and this may explain the detrimental effect of the strategy on learning.
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