The Influence of Teacher-Student Relationships on Mathematics Problem-solving
DOI:
https://doi.org/10.12928/ijeme.v5i2.19856Keywords:
Affective skills, Colaizzi, Exploratory factor analysis, Mathematics problem-solving, Social skillsAbstract
Literatures revealed that the cognitive and affective components are the factors affecting problem solving. In this article we identified factors considered by the students in learning mathematical problem solving. Using a descriptive phenomenological research we identified the lived experiences of forty-five (45) students in solving a mathematics problem. Following the Colaizzi method for data analysis, four themes emerged: emotions and self- efficacy as affective factors, and group learning activity and teacher- student relationship as social factors. Sixty items from these four themes were further explored in using an Exploratory Factor Analysis (EFA) for a new set of 200 students. These four-factor structures of the students experiences in mathematics problem solving explained 66% of the variance in the pattern of relationships among the items. All four-factor structures had high reliabilities (all at or above Cronbachs α > .904). The study exemplified that teacher- student interaction relationship during learning activities, which is a social factor, provides the highest correlated factor that influences the mathematical performance of the students.
References
Agustyaningrum, N., Sari, R. N., Abadi, A. M., & Mahmudi, A. (2021). Dominant Factors that Cause Students Difficulties in Learning Abstract Algebra: A Case Study at a University in Indonesia. International Journal of Instruction, 14(1).
Aydogdu, M. Z., & Kesan, C. (2014). A research on geometry problem solving strategies used by elementary mathematics teacher candidates. Engineering Sciences & Technologies/Nauki Inzynierskie i Technologie, 4(1).
Azimova, M. (2020). Self-confidence in Oral Performance. Bulletin of Science and Practice, 6(4), 444-452.
Bandura, A., & Walters, R. H. (1977). Social learning theory (Vol. 1). Englewood Cliffs, NJ: Prentice-hall.
Brucal, J. W. A., Perez, J. C., Enoslay, I., & Liwanag, D. C. (2019). Answer-Giving Strategy: An Effective Way in Dealing with Mathematical Problem. International Journal of Recent Innovations in Academic Research, 3(1), 193-198.
Christensen, M., Welch, A., & Barr, J. (2017). Husserlian Descriptive Phenomenology: A review of intentionality, reduction and the natural attitude. Journal of Nursing Education and Practice, 7(8), 113-118.
Colaizzi, P. F. (1978). Psychological research as the phenomenologist views it.
Fauziah, R. (2020, October). Mathematical problem-solving ability using flipping classroom with relating, experiencing, applying, cooperating, and transferring learning strategy. In Journal of Physics: Conference Series (Vol. 1663, No. 1, p. 012055). IOP Publishing.
Hair Jr., J. F., Black, W. C., Babin, B. J., Anderson, R. E., & Tatham, R. L. (1998). Multivariate data analysis. New Jersey.
Hannula, M. S. (2015). Emotions in problem solving. In Selected regular lectures from the 12th international congress on mathematical education (pp. 269-288). Springer, Cham.
Hendricks, C. C. (2017). Improving schools through action research: A reflective practice approach. Pearson. One Lake Street, Upper Saddle River, New Jersey 07458.
Hinkin, T. R., Tracey, J. B., & Enz, C. A. (1997). Scale construction: Developing reliable and valid measurement instruments. Journal of Hospitality & Tourism Research, 21(1), 100-120.
Kaiser, H. F. (1960). The application of electronic computers to factor analysis. Educational and psychological measurement, 20(1), 141-151.
Matsunaga, M. (2010). How to Factor-Analyze Your Data Right: Do's, Don'ts, and How-To's. International journal of psychological research, 3(1), 97-110.
Osborne, J. W., Costello, A. B., & Kellow, J. T. (2014). Best practices in exploratory factor analysis (pp. 86-99). Louisville, KY: CreateSpace Independent Publishing Platform.
Bandura, A., & Walters, R. H. (1977). Social learning theory (Vol. 1). Englewood Cliffs, NJ: Prentice-hall.
Sanders, C. (2003). Application of Colaizzis method: Interpretation of an auditable decision trail by a novice researcher. Contemporary nurse, 14(3), 292-302.
Singer, F. M., Ellerton, N. F., & Cai, J. (Eds.). (2015). Mathematical problem posing: From research to effective practice. Springer.
Taylor, A. Z., & Graham, S. (2007). An examination of the relationship between achievement values and perceptions of barriers among low-SES African American and Latino students. Journal of Educational Psychology, 99(1), 52.
Wassler, P., & Kuteynikova, M. (2020). Living travel vulnerability: A phenomenological study. Tourism Management, 76, 103967.
Wurdinger, S., & Qureshi, M. (2015). Enhancing college students life skills through project based learning. Innovative Higher Education, 40(3), 279-286.
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