Factor structure of problem-solving efficacy among college Algebra students
DOI:
https://doi.org/10.37134/jrpptte.vol8.no2.3.2018Keywords:
factor structure, efficacy, problem-solving, college algebraAbstract
This paper discusses the development of the Problem – Solving Efficacy Scale on College Algebra. Through factor analytic research design, the scale underwent five development stages including assessment of factorability of the data, factor extraction, factor rotation and interpretation, rotation confirmation, and internal consistency analysis. In the 80 – item questionnaire administered to 80 randomly selected College Algebra students of Isabela State University, structural validity was attained with 34 scale items grouped into four components; namely, physiological/somatic responses, social persuasions, vicarious experiences, and mastery experiences. The developed instrument can explain 55.36% of the overall variance and has a high reliability coefficient ( .87), confirming that the four factors are integral to problem-solving efficacy in College Algebra. Physiological/Somatic responses and social persuasion explain greater amount of variance than mastery experience and vicarious which suggests that while teachers give importance on improving students’ mastery level and modelling them with successful others in problem-solving activities in College Algebra, they should also encourage students to like the subject and see themselves successful in it, and provide them with sincere and timely encouragements especially problem-solving is a challenging learning tasks. College Algebra teachers should then design attainable learning goals coupled with challenging teaching-learning activities and constructively aligned assessment, and de-emphasize drills, speed tests, and competitions in problem-solving lessons.
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References
Bandura, A. (1994). Self-efficacy. Encyclopedia of Human Bahavior, 4, 71 – 81.
Bandura, A. (1997). Self-efficacy: The exercise of control. New York: W.H. Freeman.
Bandura, A. (2004). Swimming against the mainstream: The early years from chilly tributary to transformative mainstream. Behavior Research and Therapy, 42, 613 – 630.
Brown, J. D. (2009b). Statistics Corner. Questions and answers about language testing statistics: Choosing the right number of components or factors in PCA and EFA. Shiken: JALT Testing & Evaluation SIG Newsletter, 13(3), 20 – 25.
Brown, L.J., Malouff, J.M., & Schutte, N.S. (2005). The effectiveness of a self-efficacy intervention for helping adolescents cope with sport-competition loss. Journal of Sport Behavior, 28 (2), 136 – 150.
Choo, G.S. (2009). Preliminary study of approaches to learning and teaching self-efficacy of student-teachers in Malaysia. Journal Pendidikan Bitara UPSI, 2 (1), 14 – 28.
Choi N. (2005). Self-efficacy and self-concept as predictors of college students’ academic performance. Psychology in the Schools, 42: 197 – 205.
Cruikshank, D. E. & Sheffield, L. J. (1992). Teaching and learning elementary and middle school mathematics. New York: Merrill, 24.
Dagdag, J. D. & Cardona, R. S. (2018). Perspectives and practices on outcomes-based assessment (OBA) among college mathematics educators in Northeastern Luzon, Philippines. Asia Pacific Journal of Multidisciplinary Research, 6(2), 18-25.
Field, A. P. (2005). Discovering statistics using SPSS (2nd ed). London: Sage.
Furinghetti, F., & Pehkonen, E. (2002). Rethinking characterizations of beliefs. In G. C. Leder, E. Pehkonen, & G. Törner (Eds.), Beliefs: A hidden variable in mathematics education (pp. 39 – 57). Dordrecht, The Netherlands: Kluwer.
Furner, J. & Berman, B. (2003). Math anxiety: Overcoming a major obstacle to the improvement of student math performance (Electronic Version). Association for Childhood Education International. Spring 2003.
Gore, P. (2006). Academic self-efficacy as a predictor of college outcomes: Two incremental validity studies. Journal of Career Assessment, 14 (1), 92 – 115.
Hannula, M. (2006). Motivation in mathematics: Goals reflected in emotions. Educational Studies in Mathematics, 63, 165 – 178.
Hasan, M., Hossain, T, & Islam, A. (2014). Factors affecting self-efficacy towards academic performance: A study on polytechnic students in Malaysia. Advances in Environmental Biology, 8 (9), 695 – 705.
Klassen R.M., Krawchuk, L. L., Rajani, S. (2008). Academic procrastination of undergraduates: Low selfefficacy to self-regulate predicts higher levels of procrastination. Contemporary Educational Psychology. 33, 915 – 931.
Kung, H. (2009). Perception or confidence? Self-concept, self-efficacy and achievement in mathematics: A longitudinal study. Policy Futures in Education, 7, 387 – 398.
Leder, G. C., Pehkonen, E., Törner, G., & ebrary Inc. (2002). Beliefs a hidden variable in mathematics education? Mathematics education library v 31 Retrieved April 26, 2018 from
http://www.columbia.edu/cgi-bin/cul/resolve?clio5394427
Linnenbrink, E.A., & Pintrich, P.R. (2003). The role of self-efficacy beliefs in student engagement and learning in the classroom. Reading and Writing Quarterly, 19 (2), 119 – 137.
Mclellan, E. (2005). Academic achievement: The role of praise in motivating students. Active Learning in Higher Education, 6 (3), 194 – 206.
DOI: 10.1177/1469787405057750
Nunnally, J. O. (1978). Psychometric theory. New York: McGraw-Hill.
Nunnally, J. & Bernstein, I. (1994). Psychometric theory. New York: McGraw-Hill.
Op ’t Eynde, P., De Corte, E., & Verschaffel, L. (2002). Framing students’ mathematics-related beliefs. A quest for conceptual clarity and a comprehensive categorization. In G. C. Leder, E. Pehkonen, & G. Törner (Eds.), Beliefs: A hidden variable in mathematics education? (pp. 13 – 37). Dordrecht: Kluwer Academic Publishers.
Pallant, J. (2007). A step-by-step guide to data analysis using SPSS for Windows: SPSS survival manual (3rd edn). Open University Press. McGraw Hill
Pajares, F. (2002). Self-efficacy beliefs in academic contexts: An outline. Retrieved April 26, 2018 from http://des.emory.edu/mfp/efftalk.html.
Pape, S. J., & Smith, C. (2002). Self-regulating mathematics skills. Theory into Practice, 41, 93 – 101.
Pietsch, J., Walker, R. & Chapman, E. (2003). The relationship among self-concept, self-efficacy, and performance in mathematics during secondary school. Journal of Educational Psychology, 95, 589 – 603.
Reys, R. E., Suydam, M. N., & Lindquist, M. N. (1995). Helping children learn mathematics. Boston: Allyn & Bacon.
Rowbotham M., Schmitz G.S. (2013). Development and Validation of a Student Self-efficacy Scale. J Nurs Care 2: 126.
doi:10.4172/2167- 1168.1000126
Siegle, D. (2000). What influences self-efficacy? Retrieved July 2, 2018 from
https://nrcgt.uconn.edu/underachievement_study/self-efficacy/se_section2/#
Tabachnick, B. G. & Fidell, L. S. (2007). Using multivariate statistics (5th edn). Boston: Pearl Education
Zajacova, A., Lynch, S., & Espenshade, T. (2005). Self-efficacy, stress, and academic success in college. Research in Higher Education, 46 (6), 677 – 700.
Zimmerman, B.J. (2000). Self-efficacy: An essential motivation to learn. Contemporary Educational Psychology, 25, 82 – 91.
Zimmermann, M., Bescherer, C., Spannagel, C. (2010). A questionnaire for surveying mathematics selfefficacy expectations of future teachers. Retrieved February 20, 2018 from the German Federal Ministry of Education Website:
http://www.cerme7. univ.rzeszow.pl/WG/14/CERME7-WG14-Paper--Zimmermann,-Bescherer -&-Spannagel-REVISED-Dec2010.pdf
