Abstract
Supplementary private tutoring (PT) is commonly implemented worldwide, particularly among countries with highly competitive school systems and high-stakes examinations. Families often consider PT to promote their children’s skills and address any gaps in children’s learning. However, PT generally requires a considerable amount of family resources, and whether PT effectively increases students’ academic achievement remains subject of debate. This study examined student-report questionnaires and school reports of mathematics achievement from approximately 1500 secondary school students in China to track retrospective longitudinal variations of PT over a year. The study involved an analysis of the differential effectiveness of regular mathematics PT participation on the mathematics achievement of students from different quantiles at four hierarchical cognitive levels. The results indicated that only the lower-quantile students benefited from PT for their lower cognitive level achievement. Further, it was observed that among the higher-quantile students there was a reduction in high cognitive level achievement. These results raise questions concerning the role and effectiveness of PT. This study provides an evidence-based assessment of the effectiveness of PT and highlights the implications for educational practice and future research.
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Notes
In the Chinese setting, the mathematics coach plays an important role in guiding teachers—who are responsible for designing the school district or city level instructional plan—to implement the national curriculum standard, observing the mathematics teachers’ classroom instruction, evaluating the mathematics teachers, and designing the final mathematics examination.
In China, all schools from the same district use the same textbook, which has been developed according to the national curriculum standard.
The total score of the test was 120, although several items (18 scores) could not be coded.
References
Bloom, B. (1994). Reflections on the development and use of the taxonomy. In L. Anderson & L. Sosniak (Eds.), Bloom’s taxonomy: A forty-year retrospective (pp. 1–8). The National Society for the Study of Education.
Bray, M. (2014). The impact of shadow education on student academic achievement: Why the research is inconclusive and what can be done about it. Asia Pacific Education Review, 15(3), 381–389. https://doi.org/10.1007/s12564-014-9326-9
Byun, S. (2014). Shadow education and academic success in Republic of Korea. In H. Park & K. Kim (Eds.), Korean education in changing economic and demographic contexts. Education in the Asia-Pacific region: Issues, concerns and prospects (Korean edn.; pp. 39–58). Springer. https://doi.org/10.1007/978-981-4451-27-7_3.
Cai, J. (2000). Mathematical thinking involved in U.S. and Chinese students’ solving of process-constrained and process-open problems. Mathematical Thinking and Learning, 2(4), 309–340. https://doi.org/10.1207/S15327833MTL0204_4.
Campbell, R. J., Kyriakides, L., Muijs, R. D. M., & Robinson, W. (2003). Differential teacher effectiveness: Towards a model for research and teacher appraisal. Oxford Review of Education, Asia-Pacific, 29(3), 347–362. https://doi.org/10.1080/03054980307440
Carroll, J. B. (1963). A model of school learning. Teachers College Record, 64(8), 1–9. https://doi.org/10.1177/016146816306400801
Chen, X., & Li, Y. (2010). Instructional coherence in Chinese mathematics classroom—A case study of lessons on fraction division. International Journal of Science and Mathematics Education, 8(4), 711–735. https://doi.org/10.1007/s10763-009-9182-y
Choi, Y., & Park, H. (2016). Shadow education and educational inequality in South Korea: Examining effect heterogeneity of shadow education on middle school seniors’ achievement test scores. Research in Social Stratification and Mobility, 44, 22–32. https://doi.org/10.1016/j.rssm.2016.01.002
Clarke, D., Larke, D. J., Keitel, C., & Shimizu, Y. (2006), Mathematics classrooms in twelve countries: The insider’s perspective. Sense.
Cole, R. (2017). Estimating the impact of private tutoring on academic performance: Primary students in Sri Lanka. Education Economics, 25(2), 142–157. https://doi.org/10.1080/09645292.2016.1196163
Coleman, J. S. (1968). Equality of educational opportunity. Equity and Excellence in Education, 6(5), 19–28. https://doi.org/10.1080/0020486680060504
Davies, S. (2004). School choice by default? Understanding the demand for private tutoring in Canada. American Journal of Education, 110(3), 233–255. https://doi.org/10.1086/383073
Dreyfus, T., & Eisenberg, T. (1996). On different facets of mathematical thinking. In R. Sternberg & T. Ben-Zeev (Eds.), The nature of mathematical thinking (pp. 253–284). Erlbaum.
Dunkin, M.J., & Biddle, B.J. (1974). The study of teaching. Holt, Rhinehart & Winstonhttps://doi.org/10.4324/9780203148211.ch20
Firpo, S., Fortin, N. M., & Lemieux, T. (2009). Unconditional quantile regressions. Econometrica, 77(3), 953–973. https://doi.org/10.3982/ECTA6822
Fuchs, L. S., Powell, S. R., Fall, A. M., Roberts, G., Cirino, P., Fuchs, D., & Gilbert, J. K. (2020). Do the processes engaged during mathematical word-problem solving differ along the distribution of word-problem competence? Contemporary Educational Psychology, 60, 101811. https://doi.org/10.1016/j.cedpsych.2019.101811
Guill, K., Lüdtke, O., & Köller, O. (2020). Assessing the instructional quality of private tutoring and its effects on student outcomes: Analyses from the German National Educational Panel Study. British Journal of Educational Psychology, 90(2), 282–300. https://doi.org/10.1111/bjep.12281
Guill, K., Ömeroğulları, M., & Köller, O. (2022). Intensity and content of private tutoring lessons during German secondary schooling: Effects on students’ grades and test achievement. European Journal of Psychology of Education, 37(4), 1093–1114. https://doi.org/10.1007/s10212-021-00581-x
Han, S., & Suh, H. (2020). The effects of shadow education on high school students’ creative thinking and academic achievement in mathematics: The case of the Republic of Korea. Educational Studies, 49(2), 314–333. https://doi.org/10.1080/03055698.2020.1850427
Hashim, S., Masek, A., Mahthir, B. N. S.M., Rashid, A. H. A., & Nincarean, D. (2021). Association of interest, attitude and learning habit in mathematics learning towards enhancing students’ achievement. Indonesian Journal of Science and Technology, 6(1), 113–122. https://doi.org/10.17509/ijost.v6i1.31526.
He, Y., Zhang, Y., Ma, X., & Wang, L. (2021). Does private supplementary tutoring matter? The effect of private supplementary tutoring on mathematics achievement. International Journal of Educational Development, 84, 102402. https://doi.org/10.1016/j.ijedudev.2021.102402
Hiebert, J., & Grouws, D. A. (2007). The effects of classroom mathematics teaching on students’ learning. In F. K. Lester (Ed.), Second handbook of research on mathematics teaching and learning (pp. 371–404). Information Age. https://www.infoagepub.com/products/Second-Handbook-Research-Mathematics-Teaching-Learning
Jacob, B. A., & Wilder, T. (2010). Educational expectations and attainment (NBER working papers). https://doi.org/10.3386/w15683.
Koenker, R., & Bassett, G., Jr. (1978). Regression quantiles. Econometrica, 46(1), 33–50. https://doi.org/10.2307/1913643
Kokkinou, E., & Kyriakides, L. (2022). Investigating differential teacher effectiveness: Searching for the impact of classroom context factors. School Effectiveness and School Improvement, 33(3), 403–430. https://doi.org/10.1080/09243453.2022.2030762
Kuan, P. Y. (2011). Effects of cram schooling on mathematics performance: Evidence from junior high students in Taiwan. Comparative Education Review, 55(3), 342–368. https://doi.org/10.1086/659142
Lee, J. Y. (2013). Private tutoring and its impact on students’ academic achievement, formal schooling and educational inequality in Korea [Doctoral dissertation, Columbia University]. https://academiccommons.columbia.edu/doi/, https://doi.org/10.7916/D8K64R8K
Lesh, R., & Sriraman, B. (2005). Mathematics education as a design science. Zentralblatt für Didaktik der Mathematik, 37(6), 490–505. E1. https://doi.org/10.1007/s11858-007-0055-y.
Li, C. (2003). 社会政治变迁与教育机会不平等——家庭背景及制度因素对教育获得的影响 (1940–2001) [Social and political changes and educational opportunity inequality —— The influence of family background and institutional factors on education access (1940– 2001)]. Social Sciences in China, 3, 86–98, 207. https://www.cnki.com.cn/Artice/CJFDTOTAL-ZSHK200303007.htm.
Liu, J. (2012). Does cram schooling matter? Who goes to cram schools? Evidence from Taiwan. International Journal of Educational Development, 32(1), 46–52. https://doi.org/10.1016/j.ijedudev.2011.01.014
Lockwood, J. R., McCaffrey, D. F., Hamilton, L. S., Stecher, B., Le, V., & Martinez, J. F. (2007). The sensitivity of value-added teacher effect estimates to different mathematics achievement measures. Journal of Educational Measurement, 44(1), 47–67. https://doi.org/10.1111/j.1745-3984.2007.00026.x
Ministry of Education of PRC. (2011). 义务教育数学课程标准(2011年版)[Mathematics curriculum standards for full-time compulsory education (2011 version)]. Beijing Normal University Press. http://www.bnup.com/
Ömeroğulları, M., Guill, K., & Köller, O. (2020). Effectiveness of private tutoring during secondary schooling in Germany: Do the duration of private tutoring and tutor qualification affect school achievement? Learning and Instruction, 66, 101306. https://doi.org/10.1016/j.learninstruc.2020.101306
Pomerantz, E. M., Moorman, E. A., & Litwack, S. D. (2007). The how, whom, and why of parents’ involvement in children’s academic lives: More is not always better. Review of Educational Research, 77(3), 373–410. https://doi.org/10.3102/003465430305567
Schiefele, U., & Csikszentmihalyi, M. (1995). Motivation and ability as factors in mathematics experience and achievement. Journal for Research in Mathematics Education, 26(2), 163–181. https://doi.org/10.2307/749208
Shavelson, R. J., Webb, N. M., & Burstein, L. (1986). Measurement of teaching. In M. Wittrock (Ed.), Handbook of research on teaching (3rd ed., pp. 50–91). MacMillan.
Smyth, E. (2009). Buying your way into college? Private tuition and the transition to higher education in Ireland. Oxford Review of Education, 35(1), 1–22. https://doi.org/10.1080/03054980801981426
Stein, M. K., Grover, B. W., & Henningsen, M. (1996). Building student capacity for mathematical thinking and reasoning: An analysis of mathematical tasks used in reform classrooms. American Educational Research Journal, 33(2), 455–488. https://doi.org/10.3102/00028312033002455
Trilling, B., & Fadel, C. (2009). 21st-century skills: Learning for life in our times. John Wiley & Sons.
Wang, C., & Wang, L. (2022). The mathematics teacher in shadow education: A new area of focus in teacher education. Journal of Mathematics Teacher Education, 25, 247–255. https://doi.org/10.1007/s10857-021-09522-3
Wang, L., & Guo, K. (2018). Shadow education of mathematics in China. In Y. Cao & F. Leung (Eds.), The 21st century mathematics education in China. New frontiers of educational research (pp. 93–103). Springer. https://doi.org/10.1007/978-3-662-55781-5_5.
Wolf, B., & Harbatkin, E. (2022). Making sense of effect sizes: Systematic differences in intervention effect sizes by outcome measure type. Journal of Research on Educational Effectiveness, 16(1), 134–161. https://doi.org/10.1080/19345747.2022.2071364
Xin, T., Xu, Z., & Tatsuoka, K. (2004). Linkage between teacher quality, student achievement, and cognitive skills: A rule-space model. Studies in Educational Evaluation, 30(3), 205–223. https://doi.org/10.1016/j.stueduc.2004.09.002
Yung, K. W. (2020). Comparing the effectiveness of cram school tutors and schoolteachers: A critical analysis of students’ perceptions. International Journal of Educational Development, 72, 102141. https://doi.org/10.1016/j.ijedudev.2019.102141
Zhang, Y. (2011). The determinants of National College Entrance Exam Performance in [People’s Republic of] China—With an analysis of private tutoring [Doctoral dissertation, Columbia University]. https://academiccommons.columbia.edu/doi/, https://doi.org/10.7916/D8MP5978
Zhang, Y. (2013). Does private tutoring improve students’ National College Entrance Exam performance?—A case study from Jinan, China. Economics of Education Review, 32, 1–28. https://doi.org/10.1016/j.econedurev.2012.09.008
Zhang, Y., Chen, S., Cui, C., He, Y., & Wang, L. (2023). Differential effects of private tutoring on facets of students’ mathematics achievement: A longitudinal study. Learning and Individual Differences, 105, 102304. https://doi.org/10.1016/j.lindif.2023.102304
Zhang, Y., Dang, Y., He, Y., Ma, X., & Wang, L. (2021). Is private supplementary tutoring effective? A longitudinally detailed analysis of private tutoring quality in China. Asia Pacific Education Review, 22, 239–259. https://doi.org/10.1007/s12564-021-09671-3
Zhang, Y., & Liu, J. (2016). The effectiveness of private tutoring in China with a focus on class-size. International Journal of Educational Development, 46, 35–42. https://doi.org/10.1016/j.ijedudev.2015.11.006
Zheng, X., Wang, C., Shen, Z., & Fang, X. (2020). Associations of private tutoring with Chinese students’ academic achievement, emotional well-being, and parent-child relationship. Children and Youth Services Review, 112, 104934. https://doi.org/10.1016/j.childyouth.2020.104934
Zimmer, R., Hamilton, L., & Christina, R. (2010). After-school tutoring in the context of no child left behind: Effectiveness of two programs in the Pittsburgh public schools. Economics of Education Review, 29(1), 18–28. https://doi.org/10.1016/j.econedurev.2009.02.005
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This research was funded by a Beijing Philosophy and Social Sciences Grant (18JYC025).
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Zhang, Y., Wu, X., Chen, S. et al. Differential effects of private tutoring on groups of students’ mathematics achievements: a longitudinal study. Educ Stud Math 115, 197–222 (2024). https://doi.org/10.1007/s10649-023-10282-5
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DOI: https://doi.org/10.1007/s10649-023-10282-5