初中生感知到的同伴支持与数学学习投入—基于变量为中心和个体为中心的分析

doi:10.12139/j.1672-0628.2022.05.008

摘要/Abstract

摘要： 为考察同伴支持对初中生数学学习投入的影响机制，采用问卷法对1177名七、八年级学生感知到的同伴支持、数学认同、数学焦虑和数学学习投入进行测查。结果发现：同伴支持不仅能直接预测初中生的数学学习投入，还通过数学认同经数学焦虑的链式中介作用来预测数学学习投入；对数学认同和数学焦虑的得分进行潜剖面分析，可将学生分为高认同-低焦虑、中认同-中焦虑和低认同-高焦虑三组，同伴支持可预测学生的不同亚组，三组学生的数学学习投入得分存在显著差异。上述发现为促进基础教育阶段学生数学学习投入的教育实践提供了理论依据。

关键词: 同伴支持, 数学认同, 数学焦虑, 数学学习投入

Abstract: To explore the relationship among peer support, mathematics identity, mathematics anxiety and mathematics learning engagement from the perspectives of variable-oriented and person-oriented approaches, a questionnaire survey was conducted among 1177 secondary school students. The results showed that peer support significantly and positively predicted students’ mathematics learning engagement, which was meditated by mathematics identity and mathematics anxiety. By using personal-oriented analysis, the LPA of mathematics identity and mathematics anxiety were identified as three latent profiles, that is, high identity-low anxiety type, middle identity-middle anxiety type and low identity-high anxiety type. We also found that peer support predicted these profiles, which differentially predicted mathematics learning engagement. These findings emphasize the importance of peer support, mathematics identity and mathematics anxiety in promoting students’ mathematics learning engagement in secondary school.

Key words: peer support, mathematics identity, mathematics anxiety, mathematics learning engagement

中图分类号:

B844

李嘉欣, 雒瑞帆, 封洪敏, 司继伟. 初中生感知到的同伴支持与数学学习投入—基于变量为中心和个体为中心的分析[J]. 心理与行为研究, 2022, 20(5): 629-636.

LI Jiaxin, LUO Ruifan, FENG Hongmin, SI Jiwei. Peer Support and Secondary School Students’ Mathematics Learning Engagement: Evidence from Variable-Oriented and Person-Oriented Analyses[J]. Studies of Psychology and Behavior, 2022, 20(5): 629-636.

参考文献

柴晓运, 龚少英. (2015). 中学生数学学习投入: 感知到的数学教师支持与数学自我概念的作用. 中国特殊教育, (6), 78–85
耿柳娜, 陈英和. (2005). 数学焦虑对儿童加减法认知策略选择和执行的影响. 心理发展与教育, 21(4), 24–27
洪伟, 刘儒德, 甄瑞, 蒋舒阳, 金芳凯. (2018). 成就目标定向与小学生数学学习投入的关系: 学业拖延和数学焦虑的中介作用. 心理发展与教育, 34(2), 191–199
黄丽, 姜乾金, 任蔚红. (1996). 应对方式、社会支持与癌症病人心身症状的相关性研究. 中国心理卫生杂志, (4), 160–161
贾莹. (2021). 初中生学业投入类型及其影响因素: 基于潜在剖面分析 (硕士学位论文). 贵州师范大学, 贵阳.
司继伟, 郭凯玥, 赵晓萌, 张明亮, 李红霞, 黄碧娟, 徐艳丽. (2022). 小学儿童数学焦虑的潜在类别转变及其父母教育卷入效应: 3年纵向考察. 心理学报, 54(4), 355–370
汤丹丹, 温忠麟. (2020). 共同方法偏差检验: 问题与建议. 心理科学, 43(1), 215–223
屠西茜, 杨新荣. (2021). 成就目标定向与中学生数学学习投入的关系——数学焦虑的中介作用. 西南大学学报(自然科学版), 43(4), 27–35
吴甲旺, 李红霞, 司继伟. (2022). 小学低年级儿童的计算流畅性与数学焦虑: 基于变量为中心与个体为中心的分析. 心理发展与教育, 38(1), 72–80
吴艳, 温忠麟. (2011). 结构方程建模中的题目打包策略. 心理科学进展, 19(12), 1859–1867
燕良轼, 王小凤, 李桃, 郑红, 徐琳琳. (2018). 中学生人际关系对学习投入的影响机制研究. 中国临床心理学杂志, 26(1), 123–128
张晓龙. (2004). 中学生数学焦虑、信念与成绩关系的研究 (硕士学位论文). 河北大学, 保定.
张勇强, 杨新荣. (2022). 中学生数学学习投入与内在动机的关系: 一项纵向研究. 西南大学学报(自然科学版), 44(4), 27–35
周琰, 谭顶良. (2010). 初中数优生、数困生的数学学习投入研究. 中国特殊教育, (12), 53–57, 94.
庄鸿娟, 刘儒德, 刘颖, 王佳, 甄瑞, 徐乐. (2016). 中学生社会支持对数学学习坚持性的影响: 数学自我效能感的中介作用. 心理发展与教育, 32(3), 317–323
Bohrnstedt, G. W., Cohen, E. D., Yee, D., & Broer, M. (2021). Mathematics identity and discrepancies between self-and reflected appraisals: Their relationships with grade 12 mathematics achievement using new evidence from a U.S. national study. Social Psychology of Education, 24(3), 763–788, doi: 10.1007/s11218-021-09631-0.
Cribbs, J. D., Hazari, Z., Sonnert, G., & Sadler, P. M. (2015). Establishing an explanatory model for mathematics identity. Child Development, 86(4), 1048–1062, doi: 10.1111/cdev.12363.
Deci, E. L., & Ryan, R. M. (2000). The “what” and “why” of goal pursuits: Human needs and the self-determination of behavior. Psychological Inquiry, 11(4), 227–268, doi: 10.1207/S15327965PLI1104_01.
Du, C. H., Qin, K. X., Wang, Y. H., & Xin, T. (2021). Mathematics interest, anxiety, self-efficacy and achievement: Examining reciprocal relations. Learning and Individual Differences, 91, 102060, doi: 10.1016/j.lindif.2021.102060.
Ellis, A., & Dryden, W. (1997). The practice of rational emotive behavior therapy (2nd ed.). New York: Springer.
Fernandez, F., Froschl, M., Lorenzetti, L., & Stimmer, M. (2022). Investigating the importance of girls’ mathematical identity within United States STEM programmes: A systematic review. International Journal of Mathematical Education in Science and Technology. Advance online publication. https://doi.org/10.1080/0020739X.2021.2022229.
Fredricks, J. A., Blumenfeld, P. C., & Paris, A. H. (2004). School engagement: Potential of the concept, state of the evidence. Review of Educational Research, 74(1), 59–109, doi: 10.3102/00346543074001059.
Furrer, C., & Skinner, E. (2003). Sense of relatedness as a factor in children’s academic engagement and performance. Journal of Educational Psychology, 95(1), 148–162, doi: 10.1037/0022-0663.95.1.148.
Gonzalez, L., Chapman, S., & Battle, J. (2020). Mathematics identity and achievement among black students. School Science and Mathematics, 120(8), 456–466, doi: 10.1111/ssm.12436.
Graven, M., & Heyd-Metzuyanim, E. (2019). Mathematics identity research: The state of the art and future directions. ZDM—Mathematics Education, 51(3), 361–377, doi: 10.1007/s11858-019-01050-y.
Gweshe, L. C., & Brodie, K. (2019). High school learners’ mathematical identities. African Journal of Research in Mathematics, Science and Technology Education, 23(2), 254–262.
Kaspersen, E., & Ytterhaug, B. O. (2020). Measuring mathematical identity in lower secondary school. International Journal of Educational Research, 103, 101620, doi: 10.1016/j.ijer.2020.101620.
Langer-Osuna, J. M. (2017). Authority, identity, and collaborative mathematics. Journal for Research in Mathematics Education, 48(3), 237–247, doi: 10.5951/jresematheduc.48.3.0237.
Li, L., Peng, Z. F., Lu, L. C., Liao, H., & Li, H. (2020). Peer relationships, self-efficacy, academic motivation, and mathematics achievement in Zhuang adolescents: A moderated mediation model. Children and Youth Services Review, 118, 105358, doi: 10.1016/j.childyouth.2020.105358.
Luttenberger, S., Wimmer, S., & Paechter, M. (2018). Spotlight on math anxiety. Psychology Research and Behavior Management, 11, 311–322, doi: 10.2147/PRBM.S141421.
Mandle, G., & Sarason, S., B. (1952). A study of anxiety and learning. The Journal of Abnormal and Social Psychology, 47(2), 166–173, doi: 10.1037/h0062855.
Martin, A. J., Way, J., Bobis, J., & Anderson, J. (2015). Exploring the ups and downs of mathematics engagement in the middle years of school. The Journal of Early Adolescence, 35(2), 199–244, doi: 10.1177/0272431614529365.
Miller, R. S., & Wang, M. T. (2019). Cultivating adolescents’ academic identity: Ascertaining the mediating effects of motivational beliefs between classroom practices and mathematics identity. Journal of Youth and Adolescence, 48(10), 2038–2050, doi: 10.1007/s10964-019-01115-x.
Monteiro, V., Peixoto, F., Mata, L., & Sanches, C. (2017). Mathematics: I don’t like it! I like it! Very much, a little, not at all.. Social support and emotions in students from 2nd and 3rd cycles of education. Análise Psicológica, 35(3), 281–296.
Pekrun, R. (2006). The control-value theory of achievement emotions: Assumptions, corollaries, and implications for educational research and practice. Educational Psychology Review, 18(4), 315–341, doi: 10.1007/s10648-006-9029-9.
Ryan, R. M., & Deci, E. L. (2020). Intrinsic and extrinsic motivation from a self-determination theory perspective: Definitions, theory, practices, and future directions. Contemporary Educational Psychology, 61, 101860, doi: 10.1016/j.cedpsych.2020.101860.
Schachter, E. P., & Rich, Y. (2011). Identity education: A conceptual framework for educational researchers and practitioners. Educational Psychologist, 46(4), 222–238, doi: 10.1080/00461520.2011.614509.
Sorvo, R., Koponen, T., Viholainen, H., Aro, T., Räikkönen, E., Peura, P., … Aro, M. (2019). Development of math anxiety and its longitudinal relationships with arithmetic achievement among primary school children. Learning and Individual Differences, 69, 173–181, doi: 10.1016/j.lindif.2018.12.005.
Wang, M. T., Degol, J. L., & Henry, D. A. (2019). An integrative development-in-sociocultural-context model for children’s engagement in learning. American Psychologist, 74(9), 1086–1102, doi: 10.1037/amp0000522.
Wang, Z., Borriello, G. A., Oh, W., Lukowski, S., & Malanchini, M. (2021). Co-development of math anxiety, math self-concept, and math value in adolescence: The roles of parents and math teachers. Contemporary Educational Psychology, 67, 102016, doi: 10.1016/j.cedpsych.2021.102016.
Wentzel, K. R. (1998). Social relationships and motivation in middle school: The role of parents, teachers, and peers. Journal of Educational Psychology, 90(2), 202–209, doi: 10.1037/0022-0663.90.2.202.
Wentzel, K. R., Battle, A., Russell, S. L., & Looney, L. B. (2010). Social supports from teachers and peers as predictors of academic and social motivation. Contemporary Educational Psychology, 35(3), 193–202, doi: 10.1016/j.cedpsych.2010.03.002.
Zimet, G. D., Dahlem, N. W., Zimet, S. G., & Farley, G. K. (1988). The multidimensional scale of perceived social support. Journal of Personality Assessment, 52(1), 30–41, doi: 10.1207/s15327752jpa5201_2.

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