1982
DOI: 10.1119/1.12895
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The combined effect of mathematics skills and formal operational reasoning on student performance in the general physics course

Abstract: 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… Show more

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Cited by 23 publications
(16 citation statements)
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“…This is slightly higher than the values of 0.35-0.42 found by Hudson,7 perhaps because of our procedure for constructing the math pretest. These results show conclusively that the initial knowledge measured by the two pretests has a significant effect on course performance.…”
Section: A Prediction Of Student Performance In Physicscontrasting
confidence: 50%
“…This is slightly higher than the values of 0.35-0.42 found by Hudson,7 perhaps because of our procedure for constructing the math pretest. These results show conclusively that the initial knowledge measured by the two pretests has a significant effect on course performance.…”
Section: A Prediction Of Student Performance In Physicscontrasting
confidence: 50%
“…Buick, 2007;Hudson & Liberman, 1982;Meltzer, 2002;Redish, 2006;Tuminaro & Redish, 2007), but this body of research on mathematics in physics education does not explore which particular mathematical competencies are pertinent to performance in physics tasks and assessment items. Duit (2007) concluded his review of physics education by stating that more research is needed "To design models of students' competency structures, drawing on data from achievement tests, favorably in a longitudinal perspective" (p. 623).…”
Section: Introduction and Aimsmentioning
confidence: 99%
“…Previous research within mathematics in physics education seems to be divided along these two groups of difficulties. Studies within the first group often explore correlations between mathematical skills and success in physics achievement (e.g., Buick, 2007;Halloun & Hestenes, 1985;Hudson & Liberman, 1982;Knight, 1995;Lawrenz et al, 2009;Meltzer, 2002;Sadler & Tai, 2001). For instance, Meltzer (2002) studied the correlation between learning gains in physics and mathematical skills.…”
Section: Introduction and Aimsmentioning
confidence: 99%
“…Using the same instrument as a pretest, Hudson and Liberman [19] found R 2 ¼ 0:19 for a regression of the formal operational reasoning pretest against the final course grade. They also investigated the effect of mathematical reasoning ability using a mathematics pretest and found R 2 ¼ 0:12 in a regression against final course grade.…”
Section: Introductionmentioning
confidence: 99%
“…A regression by Hudson and Liberman [19] using both logical reasoning pretest scores and mathematical reasoning pretest scores on final course grades yielded R 2 ¼ 0:27. Wollman and Lawrenz [20] measured R 2 ¼ 0:57 using total grade point average (GPA), ACT score, and a mathematics pretest score when regressed upon the test average.…”
Section: Introductionmentioning
confidence: 99%