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Precourse tests of computational skills in algebra and trigonometry and of formal operational reasoning have been correlated with performance in the algebra-based introductory physics course for 80 students. The correlation coefficient for mathematics and physics was 0.345 (p<0.001) and for formal operational reasoning and physics was 0.435 (p<0.001). However, a multiple regression analysis of the combined effect of mathematics and formal operational reasoning on the total physics grade yielded a multiple R of 0.518, R2=0.268. This study found that the combination of precourse measures of mathematics computational skills and abstract reasoning explained over 25% of the variance in the final physics grade distribution.
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HUDSON et al. (1982) studied this question.
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