Abstract
A meta-analysis of findings from 50 independent studies of peer tutoring programs in Mathematics at multiple educational stages showed that 88% of these programs have positive effects on the academic performance of the participants (Hedge’s g = 0.333). Some of the variables to be taken into account when developing a peer tutoring experience were analyzed. Results showed that variables such as the ages of the participants, roles, skills of the tutees (disabled or at academic risk vs non-disabled and not at academic risk), length of the sessions and frequency were not significant moderators of the academic achievement. Variables such as educational stage, design of the study, duration of the program, level of knowledge of the tutors, time of the day (school time vs out of school time) and sample size turned out to be significant moderators. Results are discussed and proposals for future research are suggested.
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Article Type: Research Article
EURASIA J Math Sci Tech Ed, Volume 14, Issue 1, January 2018, 337-354
https://doi.org/10.12973/ejmste/79805
Publication date: 06 Nov 2017
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- *Alegre, F. J. (2014) La incidencia de la tutoría entre iguales fija en las variables cognitivas y emocionales del alumnado. Una experiencia en el área de matemáticas. Universitat Jaume I.
- *Allsopp, D. H. (1997). Using classwide peer tutoring to teach beginning algebra problem-solving skills in heterogeneous classrooms. Remedial and Special Education, 18(6), 367-379. doi:10.1177/074193259701800606.
- *Azcoitia, C. (1989). Structured peer tutoring in Chicago’s vocational education program. Northern Illinois University.
- Bakker, M., van Dijk, A., & Wicherts, J. M. (2012). The rules of the game called psychological science. Perspectives on Psychological Science, 7(6), 543-554. doi:10.1177/1745691612459060.
- *Bar-Eli, N., & Raviv, A. (1982). Underachievers as tutors. The Journal of Educational Research, 75(3), 139-143. doi:10.1080/00220671.1982.10885370.
- Becker, L. A. (2000). Effect size (ES). University of Colorado Colorado Springs.
- *Beirne-Smith, M. (1991). Peer tutoring in arithmetic for children with learning disabilities. Exceptional Children, 57(4), 330-337.
- Boud, D. (1988). Moving towards autonomy. Developing student autonomy in learning, 2, 17-39.
- Borenstein, M., Cooper, H., Hedges, L., & Valentine, J. (2009). Effect sizes for continuous data. The handbook of research synthesis and meta-analysis, 2, 221-235.
- Borenstein, M., Hedges, L. V., Higgins, J., & Rothstein, H. R. (2009). Introduction to Meta-Analysis (pp. i-xxix). John Wiley & Sons, Ltd.
- Bowman-Perrott, L., Davis, H., Vannest, K., Williams, L., Greenwood, C., & Parker, R. (2013). Academic benefits of peer tutoring: A meta-analytic review of single-case research. School Psychology Review, 42(1), 39.
- Britz, M. W. (1989). The Effects of Peer Tutoring on Mathematics Performance: A Recent Review. BC Journal of Special Education, 13(1), 17-33.
- *Brush, T. (1997). The effects on student achievement and attitudes when using integrated learning systems with cooperative pairs. Educational Technology Research and Development, 45(1), 51-64. doi:10.1007/BF02299612.
- Byrd, D. E. (1990). Peer tutoring with the learning disabled: A critical review. The Journal of Educational Research, 84(2), 115-118. doi:10.1080/00220671.1990.10886001.
- *Cairo III, L., & Craig, J. (2005). Cross-Age Tutoring Phase II--An Experiment. Appalachia Educational Laboratory at Edvantia (NJ1).
- *Calhoon, M. B., & Fuchs, L. S. (2003). The effects of peer-assisted learning strategies and curriculum-based measurement on the mathematics performance of secondary students with disabilities. Remedial and Special Education, 24(4), 235-245. doi:10.1177/07419325030240040601.
- Carlson, K. D., & Schmidt, F. L. (1999). Impact of experimental design on effect size: Findings from the research literature on training. Journal of applied psychology, 84(6), 851.
- Cohen, P. A., Kulik, J. A., & Kulik, C. L. C. (1982). Educational outcomes of tutoring: A meta-analysis of findings. American educational research journal, 19(2), 237-248. doi:10.3102/00028312019002237.
- Cooper, H., Hedges, L. V., & Valentine, J. C. (Eds.). (2009). The handbook of research synthesis and meta-analysis. Russell Sage Foundation.
- Cumming, G. (2013). Understanding the new statistics: Effect sizes, confidence intervals, and meta-analysis. Routledge.
- Damon, W., & Phelps, E. (1989). Critical distinctions among three approaches to peer education. International journal of educational research, 13(1), 9-19. doi:10.1016/0883-0355(89)90013-X.
- Delquadri, J., Greenwood, C. R., Whorton, D., Carta, J. J., & Hall, R. V. (1986). Classwide peer tutoring. Exceptional children, 52(6), 535-542.
- *Dennis, L. M. G. (2013). Multiplication Achievement and Self-Efficacy in Third-and Fifth-Grade Students: Effects of Cross-Age Peer Tutoring and Skill Training. The University of Arizona.
- Duran, D., Torró, J., & Vilà, J. (2003). Tutoria entre iguals: un mètode d’aprenentatge cooperatiu per a la diversitat: de la teoria a la pràctica. Institut de Ciències de l’Educació, Universitat Autònoma de Barcelona.
- *Durand, S. C. (2008). Using classwide peer tutoring to increase high school math students’ academic performance. Culminating Experience Action Research Projects, Volume 10, Spring 2007, 182.
- Durlak, J. A. (1995). Understanding meta-analysis. In L. G. Grimm & P. R. Yarnold (Eds.), Reading and understanding multivariate statistics (pp. 319–352). Washington, DC: American Psychological Association.
- *Fantuzzo, J. W., Davis, G. Y., & Ginsburg, M. D. (1995). Effects of parent involvement in isolation or in combination with peer tutoring on student self-concept and mathematics achievement. Journal of Educational Psychology, 87(2), 272.
- *Fantuzzo, J. W., King, J. A., & Heller, L. R. (1992). Effects of reciprocal peer tutoring on mathematics and school adjustment: A component analysis. Journal of Educational Psychology, 84(3), 331.
- Fuchs, D., Fuchs, L. S., Thompson, A., Svenson, E., Yen, L., Al Otaiba, S., ... & Saenz, L. (2001). Peer-Assisted Learning Strategies in Reading Extensions for Kindergarten, First Grade, and High School. Remedial and Special Education, 22(1), 15-21. doi:10.1177/074193250102200103.
- *Fuchs, L. S., Fuchs, D., & Karns, K. (2001). Enhancing kindergartners’ mathematical development: Effects of peer-assisted learning strategies. The Elementary School Journal, 495-510. doi:10.1086/499684.
- Fuchs, L. S., Fuchs, D., Bentz, J., Phillips, N. B., & Hamlett, C. L. (1994). The nature of student interactions during peer tutoring with and without prior training and experience. American Educational Research Journal, 31(1), 75-103. doi:10.3102/00028312031001075.
- *Fuchs, L. S., Fuchs, D., Hamlett, C. L., Phillips, N. B., Karns, K., & Dutka, S. (1997). Enhancing students’ helping behavior during peer-mediated instruction with conceptual mathematical explanations. The Elementary School Journal, 223-249. doi:10.1086/461863.
- Fuchs, L. S., Fuchs, D., Powell, S. R., Seethaler, P. M., Cirino, P. T., & Fletcher, J. M. (2008). Intensive intervention for students with mathematics disabilities: Seven principles of effective practice. Learning Disability Quarterly, 31(2), 79-92. doi:10.2307/20528819.
- *Fuchs, L. S., Fuchs, D., Yazdian, L., & Powell, S. R. (2002). Enhancing first-grade children’s mathematical development with peer-assisted learning strategies. School Psychology Review, 31(4), 569.
- *Fuchs, L. S., Seethaler, P. M., Powell, S. R., Fuchs, D., Hamlett, C. L., & Fletcher, J. M. (2008). Effects of preventative tutoring on the mathematical problem solving of third-grade students with math and reading difficulties. Exceptional Children, 74(2), 155-173.
- Gersten, R., Chard, D. J., Jayanthi, M., Baker, S. K., Morphy, P., & Flojo, J. (2009). Mathematics instruction for students with learning disabilities: A meta-analysis of instructional components. Review of Educational Research, 79(3), 1202-1242. doi:10.3102/0034654309334431.
- *Galia, M. L. D. (2015) Cross-age peer tutoring as intervention to cultural minority students with learning difficulties in mathematics. Journal of Teaching and Education.
- Gaustad, J. (1993). Peer and cross-age tutoring. University of Oregon.
- *Ginsburg-Block, M., & Fantuzzo, J. (1997). Reciprocal peer tutoring: An analysis of” teacher” and” student” interactions as a function of training and experience. School Psychology Quarterly, 12(2), 134. doi:10.1037/h0088955.
- Glass, G. V., Smith, M. L., & McGaw, B. (1981). Meta-analysis in social research. Sage Publications, Incorporated.
- Gordon, E. E. (2005). Peer tutoring: A teacher’s resource guide. R&L Education.
- Greenfield, S. D., & McNeil, M. E. (1987). Improving Math Performance through a Peer Tutoring Program.
- *Greenwood, C. R. (1991). Classwide peer tutoring: Longitudinal effects on the reading, language, and mathematics achievement of at‐risk students. Reading, Writing, and Learning Disabilities, 7(2), 105-123. doi:10.1080/0748763910070203.
- *Grimm, S. R. (2004). An Analysis and Synthesis of Research on Classroom Peer Tutoring Methods that Benefit Intermediate Math Students. Cerdaville University. doi:10.15385/tmed.2004.1.
- *Hannah, D. C. (2008). Attitudinal study: The interaction of students taking calculus and prerequisite courses while participating in peer tutorials. Georgia State University.
- *Hawaii (1974). Buddy-Tutor Project. Hilo Intermediate School. Final Report, March-July, 1974. Hawaii University.
- Hedges, L. V. (1982). Estimation of effect size from a series of independent experiments. Psychological bulletin, 92(2), 490. doi:10.1037/0033-2909.92.2.490.
- Hedges, L., & Olkin, I. (1985). Statistical methods in meta-analysis. New York: Academic Press. Hedges, LV, & Pigott, TD (2001). The power of statistical tests in meta-analysis. Psychological Methods, 6, 203-217. doi:10.2307/1164953.
- *Heintz, P. (1975). High School Peer Tutoring (Homework Helpers) Program; School Year, 1974-1975.
- *Heller, L. R. (1992). Reciprocal peer tutoring and parent partnership: Does parent involvement make a difference? University of Pennsylvania.
- *Henson, L. D., Hagos, L. C., & Villapando, R. A. (2009). The effectiveness of reciprocal peer tutoring (RPT) on the academic performance of students in mathematics. Proceedings of the 2nd International Conference of Teaching and Learning (ICTL 2009). INTI University College, Malaysia.
- Higgins, J. P., & Green, S. (Eds.). (2008). Cochrane handbook for systematic reviews of interventions (Vol. 5). Chichester: Wiley-Blackwell.
- *Hugger, K. A. (2014). Evaluating the effects of Peer-Assisted Learning Strategies (PALS) in mathematics plus an anxiety treatment on achievement and anxiety of third grade students. University of Southern Maine.
- *Ivory, T. S. (2007). Improving Mathematics Achievement of Exceptional Learners through Differentiated and Peer-Mediated Instruction. Nova Southeastern University.
- *Jitendra, A. K., Dupuis, D. N., & Rodriguez, M. C. (2012). Effectiveness of Small-Group Tutoring Interventions for Improving the Mathematical Problem-Solving Performance of Third-Grade Students with Mathematics Difficulties: A Randomized Experiment. Society for Research on Educational Effectiveness.
- *Kane, B. J., & Alley, G. R. (1980). A peer-tutored, instructional management program in computational mathematics for incarcerated, learning disabled juvenile delinquents. Journal of Learning Disabilities, 13(3), 148-151. doi:10.1177/002221948001300308.
- Kroesbergen, E. H., & Van Luit, J. E. (2003). Mathematics interventions for children with special educational needs a meta-analysis. Remedial and special education, 24(2), 97-114. doi:10.1177/07419325030240020501.
- Kunsch, C. A., Jitendra, A. K., & Sood, S. (2007). The Effects of Peer‐Mediated Instruction in Mathematics for Students with Learning Problems: A Research Synthesis. Learning Disabilities Research & Practice, 22(1), 1-12. doi:10.1111/j.1540-5826.2007.00226.x.
- Lakens, D. (2013). Calculating and reporting effect sizes to facilitate cumulative science: a practical primer for t-tests and ANOVAs. Frontiers in psychology, 4, 863. doi:10.3389/fpsyg.2013.00863.
- Lauer, P. A., Akiba, M., Wilkerson, S. B., Apthorp, H. S., Snow, D., & Martin-Glenn, M. L. (2006). Out-of-school-time programs: A meta-analysis of effects for at-risk students. Review of educational research, 76(2), 275-313. doi:10.3102/00346543076002275.
- *Lazarus, K. U. (2014). Effect of peer tutoring and cooperative learning instructional strategies on mathematics achievement of students with learning disabilities in Oyo State, Nigeria. African Journal for the Psychological Studies of Social Issues, 17(1), 96-105. doi:10.1080/0020739X.2017.1342284.
- Ledgerwood, A., & Sherman, J. W. (2012). Short, sweet, and problematic? The rise of the short report in psychological science. Perspectives on Psychological Science, 7(1), 60-66. doi:10.1177/1745691611427304.
- Leung, K. C., Marsh, H. W., & Craven, R. G. (2005). Are peer tutoring programs effective in promoting academic achievement and self-concept in educational settings: A meta-analytical review. In Annual Conference, Cairns.
- Leung, K. C. (2015). Preliminary empirical model of crucial determinants of best practice for peer tutoring on academic achievement. Journal of Educational Psychology, 107(2), 558. doi:10.1037/a0037698.
- Lippit, P. (1976). Learning through close-age peer tutoring: Why and how. Children as Teachers: Theory and Research on Tutoring, edited by VL Allen. New York: Academic Press.
- Luca, J., & Clarkson, B. (2002). Promoting Student Learning through Peer Tutoring--A Case Study. ED-MEDIA 2002 World Conference on Educational Multimedia, Hypermedia & Telecommunications. Proceedings (14th, Denver, Colorado, June 24-29, 2002).
- *Mahan, A. (2010). Effects of Peer Tutoring on the Mathematics Achievement of Fifth Grade Students with Academic Learning Disabilities. Valdosta State University.
- Marín-Martínez, F., & Sánchez-Meca, J. (2010). Weighting by inverse variance or by sample size in random-effects meta-analysis. Educational and Psychological Measurement, 70(1), 56-73. doi:10.1177/0013164409344534.
- *McKethan, L. D. (1982). An attitudinal and achievement comparison of mathematics deficient Lincoln University freshmen resulting from structured peer tutoring versus no peer tutoring in mathematics. Temple University.
- Meca, J. S. (2010). Cómo realizar una revisión sistemática y un meta-análisis. Aula abierta, 38(2), 53-64.
- Menesses, K. F., & Gresham, F. M. (2009). Relative efficacy of reciprocal and nonreciprocal peer tutoring for students at-risk for academic failure. School Psychology Quarterly, 24(4), 266. doi:10.1037/a0018174.
- Mohan, M. (1972). Peer tutoring as a technique for teaching the unmotivated. Fredonia, NY: State University of New York. Teacher Education Research Center.
- Morris, S. B. (2007). Estimating effect sizes from the pretest-posttest-control group designs. Organizational Research Methods. doi:10.1177/1094428106291059.
- Morris, S. B. & DeShon, R. P. (2002). Combining effect size estimates in meta-analysis with repeated measures and independent-groups designs. Psychological methods, 7(1), 105. doi:10.1037/1082-989X.7.1.105.
- Murphy, K. R., Myors, B., & Wolach, A. (2014). Statistical power analysis: A simple and general model for traditional and modern hypothesis tests. Routledge.
- *Murugan, S. (2015). Effectiveness of peer tutoring with student to student counselling in learning Mathematics at Standard IX level. Alagappa University.
- *Nazzal, A. (2002). Peer tutoring and at-risk students: An exploratory study. Action in teacher Education, 24(1), 68-80. doi:10.1080/01626620.2002.10463268.
- *Nesselrodt, P. S., & Alger, C. L. (2005). Extending opportunity to learn for students placed at risk. Journal of Education for Students Placed at Risk, 10(2), 207-224. doi:10.1207/s15327671espr1002_7.
- *Novotni, S. (1985). Peer tutoring: a study of its effect on mathematic achievement and attitude of ninth grade Math I students of Harrisburg High School. University of Pennsylvania.
- Nuijten, M. B., van Assen, M. A., Veldkamp, C. L., & Wicherts, J. M. (2015). The replication paradox: Combining studies can decrease accuracy of effect size estimates. Review of General Psychology, 19(2), 172. http://dx.doi.org/10.1037/gpr0000034.
- *Obidoa, M. A., Eskay, M., & Onwubolu, C. O. (2013). Remedial Help in Inclusive Classrooms: Gender Differences in the Enhancement of Mathematics Achievement of Students through PAL (Peer-Assisted Learning). US-China Education Review A, ISSN 2161-623X. March 2013, Vol. 3, No. 3, 172-180.
- Osguthorpe, R. T., & Scruggs, T. E. (1986). Special education students as tutors: A review and analysis. Remedial and Special Education, 7(4), 15-25. doi:10.1177/074193258600700405.
- *Phillips, N. B., Hamlett, C. L., Fuchs, L. S., & Fuchs, D. (1993). Combining classwide curriculum-based measurement and peer tutoring to help general educators provide adaptive education. Learning Disabilities Research & Practice.
- *Roach, J. C., Paolucci-Whitcomb, P., Meyers, H. W., & Duncan, D. A. (1983). The comparative effects of peer tutoring in math by and for secondary special needs students. Pointer.
- Robinson, D. R., Schofield, J. W., & Steers-Wentzell, K. L. (2005). Peer and cross-age tutoring in math: Outcomes and their design implications. Educational Psychology Review, 17(4), 327-362.
- Rohrbeck, C. A., Ginsburg-Block, M. D., Fantuzzo, J. W., & Miller, T. R. (2003). Peer-assisted learning interventions with elementary school students: A meta-analytic review. Journal of Educational Psychology, 95(2), 240. doi:10.1037/0022-0663.95.2.240.
- Rosenthal, R., & Rubin, D. B. (1982). Comparing effect sizes of independent studies. Psychological Bulletin, 92(2), 500. doi:10.1037/0033-2909.92.2.500.
- Rosenthal, R. (1984). Meta-analytic procedures for social science research. Beverley Hills, CA: Sage.
- *Schneck, A. J. (2010). The effects of after-school peer tutoring programs in mathematics (Doctoral dissertation, University of Minnesota).
- Scruggs, T. E., & Osguthorpe, R. T. (1985). Tutoring Interventions within Special Education Settings: A Comparison of Cross-Age and Peer Tutoring.
- *Shamir, A., Tzuriel, D., & Rozen, M. (2006). Peer Mediation The Effects of Program Intervention, Maths Level, and Verbal Ability on Mediation Style and Improvement in Maths Problem Solving. School Psychology International, 27(2), 209-231. doi:10.1177/0143034306064548.
- *Sharpley, A. M., Irvine, J. W., & Sharpley, C. F. (1983). An examination of the effectiveness of a cross-age tutoring program in mathematics for elementary school children. American Educational Research Journal, 20(1), 103-111. doi:10.3102/00028312020001103.
- *Sprinthall, N. A., & Scott, J. R. (1989). Promoting psychological development, math achievement, and success attribution of female students through deliberate psychological education. Journal of Counseling Psychology, 36(4), 440. doi:10.1037/0022-0167.36.4.440.
- Swanson, H. L., Carson, C., & Sachse-Lee, C. M. (1996). A Selective Synthesis of Intervention Research for Students with Learning Disabilities. School Psychology Review, 25(3), 370-91.
- *Tella, A. (2013). The effect of peer tutoring and explicit instructional strategies on primary school pupils learning outcomes in mathematics. Bulgarian Journal of Science and Education Policy, 7(1), 5.
- Thalheimer, W., & Cook, S. (2002). How to calculate effect sizes from published research: A simplified methodology. Work-Learning Research, 1-9.
- Topping, K. (2000). Tutoring. Genf, Switzerland: International Academy of Education.
- Topping, K., & Ehly, S. (Eds.). (1998). Peer-assisted learning. Routledge.
- Topping, K. J. (1996). The effectiveness of peer tutoring in further and higher education: A typology and review of the literature. Higher education, 32(3), 321-345. doi:10.1007/BF00138870.
- *Topping, K. J., Miller, D., Murray, P., Henderson, S., Fortuna, C., & Conlin, N. (2011). Outcomes in a randomised controlled trial of mathematics tutoring. Educational Research, 53(1), 51-63. doi:10.1080/00131881.2011.552239.
- *Tsuei, M. (2012). Using synchronous peer tutoring system to promote elementary students’ learning in mathematics. Computers & Education, 58(4), 1171-1182. doi:10.1016/j.compedu.2011.11.025.
- *Vazquez, I. R. (1995). Effect of Peer Tutoring on the Arithmetic Skills of Severely Emotionally Disturbed Sixth Grade Students. Metlife Fellow Teachers Network Policy Institute. Miami, Florida.
- White, H. D. (2009). Scientific communication and literature retrieval. The handbook of research synthesis and meta-analysis, 2, 51-71.
- *Xu, Y., Hartman, S., Uribe, G., & Mencke, R. (2001). The effects of peer tutoring on undergraduate students’ final examination scores in mathematics. Journal of College Reading and Learning, 32(1), 22-31. doi:10.1080/10790195.2001.10850123.
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APA
Alegre-Ansuategui, F. J., Moliner, L., Lorenzo, G., & Maroto, A. (2018). Peer Tutoring and Academic Achievement in Mathematics: A Meta-Analysis. Eurasia Journal of Mathematics, Science and Technology Education, 14(1), 337-354. https://doi.org/10.12973/ejmste/79805
Vancouver
Alegre-Ansuategui FJ, Moliner L, Lorenzo G, Maroto A. Peer Tutoring and Academic Achievement in Mathematics: A Meta-Analysis. EURASIA J Math Sci Tech Ed. 2018;14(1):337-54. https://doi.org/10.12973/ejmste/79805
AMA
Alegre-Ansuategui FJ, Moliner L, Lorenzo G, Maroto A. Peer Tutoring and Academic Achievement in Mathematics: A Meta-Analysis. EURASIA J Math Sci Tech Ed. 2018;14(1), 337-354. https://doi.org/10.12973/ejmste/79805
Chicago
Alegre-Ansuategui, Francisco Jose, Lidón Moliner, Gil Lorenzo, and Ana Maroto. "Peer Tutoring and Academic Achievement in Mathematics: A Meta-Analysis". Eurasia Journal of Mathematics, Science and Technology Education 2018 14 no. 1 (2018): 337-354. https://doi.org/10.12973/ejmste/79805
Harvard
Alegre-Ansuategui, F. J., Moliner, L., Lorenzo, G., and Maroto, A. (2018). Peer Tutoring and Academic Achievement in Mathematics: A Meta-Analysis. Eurasia Journal of Mathematics, Science and Technology Education, 14(1), pp. 337-354. https://doi.org/10.12973/ejmste/79805
MLA
Alegre-Ansuategui, Francisco Jose et al. "Peer Tutoring and Academic Achievement in Mathematics: A Meta-Analysis". Eurasia Journal of Mathematics, Science and Technology Education, vol. 14, no. 1, 2018, pp. 337-354. https://doi.org/10.12973/ejmste/79805