Peers Influence Mathematics Strategy Use in Early Elementary School
https://doi.org/10.17583/ijep.2016.1861
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Abstract
This study examined the impact of performance goals on arithmetic strategy use in first graders, and also how same-sex peer groups contributed to the selection of strategies used by elementary school children. It was hypothesized that early emerging gender differences in strategy use, with boys preferring retrieval and cognitive strategies and girls preferring to use manipulatives, are a function of performance goals and peer group valuing of strategies. Using a sample of 75 first grade students, data were collected at three different time-points throughout the school year. Hierarchical linear regression and repeated measures ANCOVAs indicated that performance goals predicted an increase in the use of retrieval and cognitive strategies, but only in boys. Accuracy in performance and an increased use of retrieval and cognitive strategies were found in all-boy groups, but this effect was not found in all-girl groups. The study identifies performance goals and peers as playing a persuasive role in the use of retrieval and cognitive strategies for boys. Neither variable seems to explain girls’ preference for manipulative-based strategies.
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References
Ames, C. (1984). Achievement attributions and self-instructions under competitive and individualistic goals structures. Journal of Educational Psychology, 76, 478.
Google Scholar CrossrefAmes, C. (1992). Classrooms: Goals, structures, and student motivation. Journal of Educational Psychology, 84(3), 261-271. doi: 10.1037/0022-0663.84.3.261
Google Scholar CrossrefAnderman, E. M., & Midgley, C. (1997). Changes in achievement goal orientations, perceived academic competence, and grades across the transition to middle-level schools. Contemporary Educational Psychology, 22(3), 269-298. doi: 10.1006/ceps.1996.0926
Google Scholar CrossrefBaroody, A., Tiilikainen, S., & Tai, Y. (2006). The application and development of an addition goal sketch. Cognition and Instruction, 24(1), 123. doi: 10.1207/s1532690xci2401_3
Google Scholar CrossrefBaroody, A. J., & Tiilikainen, S. H. (2003). Two perspectives on addition development. In A. J. Baroody & A. Dowker (Eds.), The development of arithmetic concepts and skills: Constructing adaptive expertise (pp. 75). Mahwah, NJ: Lawrence Erlbaum Associates Publishers.
Google Scholar CrossrefBeishuizen, M., Van Putten, C. M., & Van Mulken, F. (1997). Mental arithmetic and strategy use with indirect number problems up to one hundred. Learning & Instruction, 7, 87.
Google Scholar CrossrefBjorklund, D. F., & Rosenblum, K. E. (2002). Context effects in children's selection and use of simple arithmetic strategies. Journal of Cognition and Development, 3, 225.
Google Scholar CrossrefBoekaerts, M., Seegers, G., & Vermeer, H. (1995). Solving math problems: Where and why does the solution process go astray? Educational Studies in Mathematics, 28, 241.
Google Scholar CrossrefBong, M. (2009). Age-related differences in achievement goal differentiation. Journal of Educational Psychology, 101(4), 879-896. doi: 10.1037/a0015945
Google Scholar CrossrefButler, R., & Kedar, A. (1990). Effects of Intergroup Competition and School Philosophy on Student Perceptions, Group Processes, and Performance. Contemporary Educational Psychology, 15, 301-318.
Google Scholar CrossrefCanobi, K. H., Reeve, R. A., & Pattison, P. E. (1998). The role of conceptual understanding in children's addition problem solving. Developmental Psychology, 34, 882.
Google Scholar CrossrefCarr, M., & Jessup, D. L. (1997). Gender differences in first-grade mathematics strategy use: Social and metacognitive influences. Journal for Educational Psychology, 89, 318-328.
Google Scholar CrossrefCarr, M., Jessup, D. L., & Fuller, D. (1999). Gender differences in first grade mathematics strategy use: Parent and teacher contributions. Journal for Research in Mathematics Education, 30, 1.
Google Scholar CrossrefCobb, P., Gresalfi, M., & Hodge, L. L. (2009). An interpretive scheme for analyzing the identities that students develop in mathematics classrooms. Journal for Research in Mathematics Education, 40(1), 40-68.
Google Scholar CrossrefCobb, P., & Yackel, E. (1996). Constructivist, emergent, and sociocultural perspectives in the context of developmental research. Educational Psychologist, 31(3-4), 175-190. doi: 10.1207/s15326985ep3103&4_3
Google Scholar CrossrefCrowley, K., Shrager, J., & Siegler, R. S. (1997). Strategy discovery as a competitive negotiation between metacognitive and associative mechanisms. Developmental Review, 17, 462.
Google Scholar CrossrefDavis, H., & Carr, M. (2001). Gender differences in mathematics strategy use: The influence of temperament. Learning and Individual Differences, 13(1), 83. doi: 10.1016/s1041-6080(02)00063-8
Google Scholar CrossrefDweck, C. S., & Elliott, E. S. (1983). Achievement motivation. In E. M. Hetherington (Ed.), Socialization, personality and social development (Vol. 3, pp. 643). New York: Wiley.
Google Scholar CrossrefElliott, E. S., & Dweck, C. S. (1988). Goals: An approach to motivation and achievement. Journal of Personality and Social Psychology, 54(1), 5. doi: 10.1037/0022-3514.54.1.5
Google Scholar CrossrefEllis, S. (1997). Strategy choice in sociocultural context. Developmental Review, 17(4), 490.
Google Scholar CrossrefFennema, E., Carpenter, T. P., Jacobs, V. R., Franke, M. L., & Levi, L. (1998). A longitudinal study of gender differences in young children's mathematical thinking. Educational Researcher, 27(5), 6.
Google Scholar CrossrefGoldstein, J. H. (1994). Sex differences in toy play and use of video games. In J. H. Goldstein (Ed.), Toys, play, and child development (pp. 110). Cambridge: Cambridge University Press.
Google Scholar CrossrefHickendorff, M., van Putten, C. M., Verhelst, N. D., & Heiser, W. J. (2010). Individual differences in strategy use on division problems: Mental versus written computation. Journal of Educational Psychology, 102(2), 438. doi: 10.1037/a0018177
Google Scholar CrossrefKenney-Benson, G. A., Pomerantz, E. M., Ryan, A. M., & Patrick, H. (2006). Sex differences in math performance: The role of children's approach to schoolwork. Developmental Psychology, 42(1), 11.
Google Scholar CrossrefKnight, G. P., & Chao, C.-C. (1989). Gender differences in cooperative, competitive, and individualistic social values in children. Motivation and Emotion, 13, 125.
Google Scholar CrossrefMaccoby, E. E. (1990). Gender and relationships: A developmental account. American Psychologist, 45(4), 513-520. doi: 10.1037/0003-066X.45.4.513
Google Scholar CrossrefMägi, K., Lerkkanen, M. K., Poikkeus, A. M., Rasku‐Puttonen, H., & Kikas, E. (2010). Relations Between Achievement Goal Orientations and Math Achievement in Primary Grades: A Follow‐Up Study. Scandinavian Journal of Educational Research, 54(3), 295-312. doi: 10.1080/00313831003764545
Google Scholar CrossrefMeece, J. L., Anderman, E. M., & Anderman, L. H. (2006). Classroom goal structure, student motivation, and academic achievement. Annual Review of Psychology, 57, 487-503. doi: 10.1146/annurev.psych.56.091103.070258
Google Scholar CrossrefNewman, R. S., & Schwager, M. T. (1995). Students' help seeking during problem solving: Effects of grade, goal, and prior achievement. American Educational Research Journal, 32(2), 352-376. doi: 10.2307/1163435
Google Scholar CrossrefNunes, T., Schliemann, A. D., & Carraher, D. W. (1993). Street mathematics and school mathematics. New York, NY US: Cambridge University Press.
Google Scholar CrossrefPintrich, P. R. (2000). Multiple goals, multiple pathways: The role of goal orientation in learning and achievement. Journal of Educational Psychology, 92, 544.
Google Scholar CrossrefRidley, D. R., & Novak, J. D. (1983). Sex-related differences in high school science and mathematics enrollments: Do they give males a critical headstart toward science- and math-related careers. Alberta Journal of Educational Research, 29, 308.
Google Scholar CrossrefRoediger, H. L., III, & Butler, A. C. (2011). The critical role of retrieval practice in long-term retention. Trends in cognitive sciences, 15(1), 20-27.
Google Scholar CrossrefRoeser, R. W., Midgley, C., & Urdan, T. C. (1996). Perceptions of the school psychological environment and early adolescents' psychological and behavioral functioning in school: The mediating role of goals and belonging. Journal of Educational Psychology, 88(3), 408-422.
Google Scholar CrossrefSarama, J., & Clements, D. (2009). Teaching Math in the Primary Grades: The Learning Trajectories Approach. Young Children, 64(2), 63.
Google Scholar CrossrefSeegers, G., & Boekaerts, M. (1996). Gender-related differences in self-referenced cognitions in relation to mathematics. Journal of Research in Mathematics Education, 27(2), 215.
Google Scholar CrossrefSiegler, R. S. (1988). Individual differences in strategy choices: Good students, not-so-good students, and perfectionists. Child Development, 59, 833.
Google Scholar CrossrefSiegler, R. S. (1996). Emerging minds: The process of change in children's thinking. New York: Oxford University Press.
Google Scholar CrossrefSiegler, R. S., & Jenkins, E. (1989). How children discover strategies. Hillsdale: Lawrence Erlbaum.
Google Scholar CrossrefSiegler, R. S., & Shipley, C. (1995). Variation, selection and cognitive change. In T. Simon & G. Halford (Eds.), Developing cognitive competence: New approaches to process modeling (pp. 31). Hillsdale, NJ: Erlbaum.
Google Scholar CrossrefSteffe, L. P., Cobb, P., & von Glaserfeld, E. (1988). Construction of arithmetical meanings and strategies. New York: Springer-Verlag.
Google Scholar CrossrefStipek, D., & Mac Iver, D. (1989). Developmental change in children's assessment of intellectual competence. Child Development, 60, 521.
Google Scholar CrossrefSvenson, O., & Sjöberg, K. (1983). Evolution of cognitive processes for solving simple additions during the first three school years. Scandinavian journal of psychology, 24(2), 117. doi: 10.1111/j.1467-9450.1983.tb00483.x
Google Scholar CrossrefWeinberger, N., & Stein, K. (2007). The role of gender and gender composition on early competitive game playing. Paper presented at the Society for Research in Child Development.
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