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Sources of Self-efficacy Beliefs of Students in a Technology-intensive Asynchronous College Algebra Course. Charles B. Hodges Pamela F. Murphy Virginia Polytechnic Institute & State University. Study Purpose.
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Sources of Self-efficacy Beliefs of Students in a Technology-intensive Asynchronous College Algebra Course Charles B. Hodges Pamela F. Murphy Virginia Polytechnic Institute & State University
Study Purpose • To explore the influence of the four traditionally hypothesized sources of self-efficacy on learners’ self-efficacy beliefs regarding learning mathematics in an asynchronous environment.
Research Context • Virginia Tech Math Emporium • Math 1015: College Algebra and Trigonometry • Course offered in an emporium format
The emporium format • All course materials delivered online • Quizzing and Testing online • Weekly deadlines • Just-in-time help available many hours each week in computer lab
Background • Self-efficacy • Self-efficacy refers to beliefs in one’s capabilities to organize and execute the courses of action required to produce given attainments (Bandura, 1977) • Developing Self-efficacy beliefs • Mastery experiences • Vicarious experiences • Social persuasion • Affective/physiological
Current Study • Purpose was to investigate the relative strength of the four traditionally proposed sources of self-efficacy beliefs of students enrolled in Math 1015 • Data collected January 2008 • 99 students (43 male, 56 female) , iPod lottery offered as enticement • Online questionnaires • Regression analysis
Instruments • Demographics questionnaire • SELMA • Sources of Mathematics Self-Efficacy (SMSE) scale • (Lent, Lopez, & Bieschke, 1991) • 4 subscales for 4 traditional sources of self-efficacy
Participants • 99 students (43 male, 56 female) • Most of the participants had never taken an online math course (n=57) • Most of them (n=77) were taking this course for the first time
Regression SMSE subscales predicting SELMA r2=.289
Multicollinearity • "There is no consensus about the meaning of this term" (Pedhazur & Schmelkin, 1991, p. 448) • In general, it refers to a situation in which independent variables in a regression analysis are highly correlated with each other. • Problems multicollinearity may cause: • Unstable regression coefficients • Uninterpretable results • Difficulty identifying each variable's unique contribution to the variance
Multicollinearity Correlations between predictor variables * Denotes p < .01
Multicollinearity • Allison (1999, pp. 141-142) suggests that tolerances close to .40 and below should be flagged as possible indicators of multicollinearity.
Dealing with Multicollinearity • Drop predictor variables • Conceptually, that is not the intent of this study • Use a different statistical technique
Ridge Regression • Ridge regression is a technique suggested for dealing with multicollinearity (Joe & Mendoza, 1989; Kidwell & Brown, 1982; Thomas, Hughes, & Zumbo, 1998). • “Basically, ridge regression tries to stabilize the parameter estimates by trading off unbiasedness in estimation for a reduction in the variance of the estimate” (Joe & Mendoza, 1989, pp. 218-219). • Kidwell and Brown (1982) describe ridge regression as “a modification of the OLS formula designed to minimize the variance by introducing a small amount of bias into the estimate” (p. 290).
Results • Most influential predictors: • Vicarious Experiences • Affective/Physiological • Ridge regression confirms results of initial analysis
Discussion • From the perspective of self-efficacy theory, this study provides insight into how the four traditional sources of self-efficacy may influence learners in environments like the context of this study • Results make sense, given that the emporium environment is new for most learners • Implications for practitioners and instructional designers • Address vicarious component: past student testimonials in orientation • Self-regulation: encourage learners to engage in this course at times when stress is not high
Where to from here… • More investigation is needed, especially if the problem of multicollinearity can be avoided • Design/develop effective orientation activities to address vicarious and affective/physiological components of self-efficacy