![]() |
[email protected] |
![]() |
3275638434 |
![]() |
![]() |
Paper Publishing WeChat |
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License
Empowering Students With Computational Estimation Skills
Yea-Ling Tsao
Full-Text PDF
XML 73 Views
DOI:10.17265/2161-623X/2025.09.001
Minnesota State University, Mankato, USA
This paper highlights the significance of teaching estimation to students and outlines effective techniques for doing so. Estimation is a crucial skill in mathematics that supports real-world applications, improves number sense, aids problem-solving efficiency, helps identify errors, and builds student confidence. Important methods include rounding, front-end estimation, clustering, using compatible numbers, and range estimation. To embed these strategies into the curriculum, educators should incorporate regular practice, real-life problem-solving, collaborative work, the use of technology tools, and continuous assessment with reflection. Teachers, as agents of change, can significantly enhance students’ mathematical abilities by emphasizing estimation, preparing them for situations requiring quick, reasonable judgments. This paper provides insights and practical guidance on integrating estimation into daily teaching, highlighting its enduring importance in education and its positive long-term impact on students’ mathematical skills.
teaching estimation, computational estimation, estimation process and strategies
Yea-Ling Tsao. (2025). Empowering Students With Computational Estimation Skills. US-China Education Review A, September 2025, Vol. 15, No. 9, 611-617.
Bahr, D., &
Monroe, E. (2024). The numerically leveled performance assessment framework (NLPAF):
A literature-based evaluation of acceptability. Investigations in Mathematics Learning, 17(2), 176-198. Retrieved
from https://www.tandfonline.com/doi/abs/
10.1080/19477503.2024.2405404
Bestgen, B., Reys, R., Rybolt, J., & Wyatt, J. (1980). Effectiveness of systematic instruction on attitudes and computational estimation skills of preservice elementary teachers. Journal for Research in Mathematics Education, 11(2), 124-136.
Desli, D., & Efstathopoulos, K. (2025). Exploring the relationship between computational estimation and problem-solving in year 2 and year 4 children. Mathematics and Science Teacher Journal, 5(1), em073. Retrieved from https://www.researchgate.net/profile/Despina-Desli/publication/388632704
Dowker, A. (1992). Computational estimation strategy of professional mathematicians. Journal for Research in Mathematics Education, 23(1), 45-55.
Hope, J. (1989). Promoting number sense in school. Arithmetic Teacher, 36(6), 12-16.
Joram, E., Gabriele, A., Bertheau, M., Gelman, R., & Subrahmanyam, K. (2005). Children’s use of the reference point strategy for measurement estimation. Journal for Research in Mathematics Education, 36(1), 4-23.
Kosova, R., Kapçiu, R., Bushi, F., & Kosova, A. M. (2024). Algorithmic thinking: Preparing students from high school to university. Retrieved from https://www.researchgate.net/publication/386048822
National Council of Teachers of Mathematics. (1989). Curriculum and evaluation standards for school mathematics. Reston: National Council of Teachers of Mathematics.
National Council of Teachers of Mathematics. (2000). Principles and standards for school mathematics. Reston: National Council of Teachers of Mathematics.
Peeters, D., Degrande, T., Ebersbach, M., Verschaffel, L., & Luwel, K. (2016). Children’s use of number line estimation strategies. European Journal of Psychology of Education, 31(2), 117-134.
Reys, R. E., Bestgen, B. J., Rybolt, J. F., & Wyatt, J. W. (1982). Processes used by good computational estimators. Journal for Research in Mathematics Education, 13(3), 183-201.
Reys, R. E., Trafton, P., Reys, B., & Zawojewski, J. (1984, April). We are developing computational estimation materials for middle grades. Presented at The meeting of the National Council of Supervisors of Mathematics, San Francisco, CA.
Rubenstein, R. N. (1985). Computational estimation and related mathematical skills. Journal for Research in Mathematics Education, 16(2), 106-119.
Schoen, H. L., Friesen, C. D., Jarrette, J. A., & Urbatsch, T. D. (1981). Instruction in estimating solutions of whole number computations. Journal for Research in Mathematics Education, 12, 165-178.
Sowder, J. T. (1984). Computational estimation procedures of school children. Journal of Educational Research, 77(6), 332-336.
Suparman, S., Juandi, D., Turmudi, T., & Martadiputra, B. A. P. (2025). Computational thinking in mathematics instruction integrated into STEAM education: A systematic review and meta-analysis. TEM Journal, 14(1), 949-963. Retrieved from https://www.researchgate.net/publication/389397555
Trafton, P. R. (1986). Teaching computational estimation: Establishing an estimation mindset. In H. L. Schoen & M. J. Zweng (Eds.), Estimation and mental computation: 1986 Yearbook (pp. 16-30). Reston, VA: National Council of Teachers of Mathematics.
Tsao, Y. L. (2009). Teaching computational estimation. In C. H. Yang (Ed.), Educational consulting book: Effective teaching methods (pp. 45-54). Taipei, Taiwan: National Taipei University of Education.
Tsao, Y. L., & Pan, T. R. (2010). The study of the computational estimation performance and computational estimation strategy. New Wave—Educational Research & Development, 13(1), 12-42.
Tsao, Y. L., & Pan, T. R. (2013). The computational estimation and instructional perspectives of elementary school teachers. Journal of Instructional Pedagogies, 11. Retrieved from http://www.aabri.com/manuscripts/121410.pdf
Wang, Y. (2024). Cognitive diagnosis for multiple-choice responses: Nonparametric classification method, Q-matrix theory, and computerized adaptive testing (Doctoral dissertation, University Digital Conservancy, 2024). Retrieved from https://search.proquest.com/openview/3a54f5b052af9822f5f1e8c0cb6b0fe5