Mathematics Task-Specific Self-Efficacy and Actual Performance among Secondary School Students: Examining the Relationship between Confidence and Accuracy
1 Department of Science Education, Ahmadu Bello University, Zaria
2 Demonstration Secondary School, Ahmadu Bello University, Zaria, Kaduna State, Nigeria
3 Institute of Education, Ahmadu Bello University, Zaria, Kaduna State, Nigeria
* Corresponding author: yfzakariya@abu.edu.ng
2 Demonstration Secondary School, Ahmadu Bello University, Zaria, Kaduna State, Nigeria
3 Institute of Education, Ahmadu Bello University, Zaria, Kaduna State, Nigeria
* Corresponding author: yfzakariya@abu.edu.ng
Abstract
This study examined the relationship between task-specific mathematics self-efficacy and actual performance among 248 senior secondary school students (111 males, 125 females, 12 missing gender data) in Kaduna state. Unlike studies correlating a global self-efficacy score with a separately administered achievement test, this design elicited students' confidence immediately before each of fifteen multiple-choice mathematics items, using validated self-efficacy (α = .848) and performance (Guttman split-half = .715) instruments, analysed with descriptive and inferential statistics. At the student level, mean confidence correlated weakly with percentage correct (Pearson r = .12, 95% CI [-.01, .25], p = .059; Spearman ρ = .18, p = .007, n = 237). A crossed-random-effects mixed logistic regression linking item-level confidence to correctness showed that higher confidence significantly predicted greater odds of a correct response (OR = 1.06, 95% CI [1.03, 1.09], p < .001), confirmed by a cluster-robust GEE model (OR = 1.06, p = .002). Calibration analysis, however, revealed pronounced positive bias: mean confidence exceeded mean accuracy by .34 (t(236) = 21.46, p < .001), with 93.7% of students overconfident and 62.9% of high-confidence responses (≥7) incorrect. Findings indicate that confidence weakly but reliably discriminates correct from incorrect responses, yet students are substantially overconfident relative to actual performance. Implications for instruction, formative assessment, and self-monitoring are discussed.
Keywords
mathematics self-efficacy
task-specific confidence
actual performance
calibration
overconfidence
mixed-effects logistic regression
secondary school mathematics
References
- Alfaraj, R., Ozdemir, B., Aljuffali, L., Alsabhan, J. F., et al. (2026). Metacognitive awareness and confidence as predictors of academic performance in pharmacy students: Insights from grade predictions and structural equation modelling. Frontiers in Psychology. https://doi.org/10.3389/fpsyg.2026.1720303
- Bandura, A. (1997). Self-efficacy: The exercise of control. W. H. Freeman.
- Bol, L., & Hacker, D. J. (2026). Understanding and improving calibration accuracy in K-12 classrooms. Theory Into Practice, 1–14. https://doi.org/10.1080/00405841.2026.2714715
- Bozkuş, K., & Öztürk, H. K. (2026). Mathematics self-efficacy and performance: A mediation analysis of PISA 2022 Turkey data. European Journal of Education. https://doi.org/10.1111/ejed.70635
- Cai, J., Liu, Q., Xu, B., & Hwang, S. (2026). Posing problems confidently: Task-specific self-efficacy and self-evaluation in mathematical problem posing. Educational Studies in Mathematics. https://doi.org/10.1007/s10649-026-10484-7
- Fischhoff, B., Slovic, P., & Lichtenstein, S. (1977). Knowing with certainty: The appropriateness of extreme confidence. Journal of Experimental Psychology: Human Perception and Performance, 3(4), 552–564. https://doi.org/10.1037/0096-1523.3.4.552
- Foster, C., & Renie, P. (2024). Changes in students' confidence calibration across a sequence of low-stakes confidence assessments. Asian Journal for Mathematics Education. https://doi.org/10.1177/27527263241298968
- Kruger, J., & Dunning, D. (1999). Unskilled and unaware of it: How difficulties in recognizing one's own incompetence lead to inflated self-assessments. Journal of Personality and Social Psychology, 77(6), 1121–1134. https://doi.org/10.1037/0022-3514.77.6.1121
- Pajares, F. (1996). Self-efficacy beliefs in academic settings. Review of Educational Research, 66(4), 543–578. https://doi.org/10.2307/1170653
- Pajares, F., & Miller, M. D. (1994). Role of self-efficacy and self-concept beliefs in mathematical problem solving: A path analysis. Journal of Educational Psychology, 86(2), 193–203. https://doi.org/10.1037/0022-0663.86.2.193
- Razeghpour, F., & Rolka, K. (2026). Effects of guiding feedback on students' performance, calibration, and self-efficacy: Insights from a field study with engineering students. LUMAT: International Journal on Math, Science and Technology Education. https://journals.helsinki.fi/lumat/article/view/2692
- Russell, B. E., & Phelps-Gregory, C. M. (2026). Examining task-specific incongruous mathematics self-efficacy in university intermediate algebra students. International Journal of Research in Undergraduate Mathematics Education. https://doi.org/10.1007/s40753-024-00261-3
- Rutkowski, D., Rutkowski, L., & Hastedt, D. (2026). Student achievement and self-confidence in mathematics and science: Evidence from TIMSS 2023. Large-scale Assessments in Education. https://doi.org/10.1186/s40536-026-00304-y
- Stankov, L., Morony, S., & Lee, Y. P. (2014). Confidence: the best non-cognitive predictor of academic achievement? Educational Psychology, 34(1), 9–28. https://doi.org/10.1080/01443410.2013.814194.
- Yang, Y., Maeda, Y., & Gentry, M. (2024). The relationship between mathematics self-efficacy and mathematics achievement: multilevel analysis with NAEP 2019. Large-scale Assessments in Education, 12(1). https://doi.org/10.1186/s40536-024-00204-z
- Zakariya, Y. F. (2022). Cronbach's alpha in mathematics education research: Its appropriateness, overuse, and alternatives in estimating scale reliability. Frontiers in Psychology, 13, 1074430. https://doi.org/10.3389/fpsyg.2022.1074430
- Zakariya, Y. F., Goodchild, S., Bjørkestøl, K., & Nilsen, H. K. (2019). Calculus self-efficacy inventory: Its development and relationship with approaches to learning. Education Sciences, 9(3), 170. https://doi.org/10.3390/educsci9030170
How to Cite
Zakariya, Y. F., Maina, E. V., Umahaba, R. E., GUYAH, P., & Muhammed, S. S. (2026). Mathematics Task-Specific Self-Efficacy and Actual Performance among Secondary School Students: Examining the Relationship between Confidence and Accuracy. Journal of Studies in Science and Mathematics Education, 6(2), 136 –147.
Y. F. Zakariya, E. V. Maina, R. E. Umahaba, P. GUYAH, and S. S. Muhammed, "Mathematics Task-Specific Self-Efficacy and Actual Performance among Secondary School Students: Examining the Relationship between Confidence and Accuracy," Journal of Studies in Science and Mathematics Education, vol. 6, no. 2, pp. 136 –147, October 2026.