Development of Mathematics Self-Efficacy in Two Upper Elementary Contexts
Author(s):
Ellen Usher (presenting / submitting) Gwenaelle Joet (presenting) Pascal Bressoux
Conference:
ECER 2011
Format:
Paper

Session Information

24 SES 12, Algebra in the Mathematics Classroom

Paper Session

Time:
2011-09-16
08:30-10:00
Room:
JK 28/130,G, 37
Chair:

Contribution

In the educational sphere, self-efficacy refers to the beliefs students hold in their capabilities to accomplish tasks required for learning.  Students with high self-efficacy persevere longer, search for deeper meaning across learning tasks, report lower anxiety, and achieve higher at school (Bandura, 1997; Multon, Brown, & Lent, 1991; Pajares & Schunk, 2005).  Students’ self-efficacy has been shown to predict achievement outcomes in diverse academic areas such as mathematics, science, and writing (Pajares, 1996; Pajares & Urdan, 2006).

According to Bandura’s (1986) social cognitive theory, individuals develop their self-efficacy by attending to four sources of capability-related information. The most powerful of these sources is hypothesized to be mastery experiences, or individuals’ interpretations of their past performances. Vicarious experiences, which involve observing the successes and failures of social models, also inform self-efficacy. The third source of self-efficacy comes from the social persuasions people receive from others through evaluative feedback. Finally, physiological and affective states, including stress, fatigue, anxiety, and mood, can also influence perceptions of capability. Individuals rely on information from these four sources in various degree according to numerous contextual factors.

Researchers who have investigated the sources of students’ academic self-efficacy beliefs have tended to focus on secondary and post-secondary students. Results generally indicate that mastery experience is the strongest predictor of students’ self-efficacy (Usher & Pajares, 2008). Few researchers have investigated the manner in which children rely on the four sources of efficacy information during the development of their educational self-view. Still fewer have investigated the sources of self-efficacy in European contexts, where teaching practices vary among regions and differ sometimes markedly from U.S. and other national contexts. Children may develop their academic efficacy beliefs in ways that reveal cultural emphases on one or more of the sources described above (Bandura, 1997). Gender may also play a role in how students attend to efficacy-relevant information, but those who have included elementary-aged students in studies of the sources have not examined gender differences (i.e., Pajares et al., 2007), which may be especially pronounced in mathematics (Duru-Bellat, 1995).

The purpose of the present study is to examine how elementary school students (Grades 4 and 5) in France and in the U.S. develop and modify their efficacy beliefs in mathematics across a school year. We selected mathematics because it is a critical academic domain in which high expectations are placed on students in both national contexts. Variations in pedagogical practices in these cultural contexts could account for differences in self-efficacy (Pajares, 2007). The primary research questions guiding the study are: (a) What is the nature of change in students’ mathematics self-efficacy and its sources across the academic year in both contexts? (b) What is the independent contribution of each of the four sources to the prediction of mathematics self-efficacy? How does this contribution compare nationally?  (c) What, if any, gender differences are present among the variables investigated in the two contexts?

Method

Participants in the study included 395 students in a suburban area of France (CM1, or Grade 4; 19 schools) and 171 students (Grades 4 and 5; 2 schools) from an east-central suburban area in the U.S. Students in both contexts completed a Likert-type survey of their mathematics attitudes at three time points throughout the academic year. Items were read aloud by the researchers. Questionnaires included demographic information and a variety of self-report measures. Mathematics Skills Self-Efficacy was assessed using items drawn from the relevant curriculum in each national context to assess students’ confidence in their capabilities for working with specific mathematics concepts (e.g, computation, algebra, geometry). The four sources of self-efficacy were assessed using a subset of items from two scales (Lent et al., 1991; Usher & Pajares, 2009) that were adapted for use in the study. We used a team approach to back-translate and translate each item, a process that permitted us to conduct multiple checks on functional and cultural validity. Item wording was also altered to be suitable for younger participants. This scale included 24 items for the French students and 31 items for the U.S. students. Only items with similar wording will be used for cross-national analyses.

Expected Outcomes

Bandura (1997) contended that "cultural values and practices affect how efficacy beliefs are developed" (p. 32). We anticipate several possible findings to emerge from this study. We will shed light on how younger students interpret and weigh information from the four hypothesized sources of self-efficacy in mathematics. Using a repeated-measures, longitudinal analyses will permit us to examine how these sources and self-efficacy change over time. Third, linear regression models will indicate whether students place particular weight on one or more of the sources as they form their self-efficacy. Perhaps most important, our study will reveal whether the pathways to confidence in mathematics take different patterns for students in the U.S. and France and for boys versus girls in these contexts. We will of course also search for a contextualized explanation for why teaching practices in and interventions targeted for these two contexts may need to emphasize different components to properly build and support students’ confidence and competence.

References

Bandura, A. (1986). Social foundations of thought and action: A social cognitive theory. Englewood Cliffs, NJ: Prentice-Hall. Bandura, A. (1997). Self-efficacy: The exercise of control. New York: Freeman. Duru-Bellat, M. (1995). Filles et garçons à l’école, approches sociologiques et psycho-sociales. 2ème partie : La construction scolaire des différences entre les sexes. [Girls and boys at school, sociological and psychosocial approaches, 2nd ed: The school-based construction of sex differences.] Revue Française de Pédagogie, 110, 75-109. Multon, K. D., Brown, S. D., & Lent, R. W. (1991). Relation of self-efficacy beliefs to academic outcomes: A meta-analytic investigation. Journal of Counseling Psychology, 38, 30-38. Pajares, F. (1996). Self-efficacy-beliefs in academic settings. Review of Educational Research, 66, 543-578. Pajares, F. (2007). Culturalizing educational psychology. In F. Salili & R. Hoosain (Eds.), Culture, motivation, and learning (pp. 19-42). Charlotte, NC: Information Age. Pajares, F., Johnson, M. J., & Usher, E. L. (2007). Sources of writing self-efficacy beliefs of elementary, middle, and high school students. Research in the Teaching of English, 42, 104-120. Pajares, F., & Schunk, D. H. (2005). Self-efficacy and self-concept beliefs: Jointly contributing to the quality of human life. In H. Marsh, R. Craven, & D. McInerney (Eds.), International advances in self research (Vol. 2, pp. 95-121). Greenwich, CT: Information Age Publishing. Pajares, F., & Urdan, T. (Eds.). (2006). Adolescence and education, Vol. 5: Self-efficacy beliefs of adolescents. Greenwich, CT: Information Age Publishing. Usher, E. L., & Pajares, F. (2008). Sources of self-efficacy in school: Critical review of the literature and future directions. Review of Educational Research, 78, 751-796. Usher, E. L., & Pajares, F. (2009). Sources of self-efficacy in mathematics: A validation study. Contemporary Educational Psychology, 34, 89-101.

Author Information

Ellen Usher (presenting / submitting)
University of Kentucky
Educational, School, and Counseling Psychology
Lexington
Gwenaelle Joet (presenting)
LSE, université pierre mendès france
Educational sciences
Grenoble
Université Pierre-Mendès-France, France

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