Skip to main content
Log in

Math homework purpose scale for preadolescents: a psychometric evaluation

  • Published:
Current Psychology Aims and scope Submit manuscript

Abstract

The current study validated the Math Homework Purpose Scale (MHPS) for preadolescents. Having randomly split participants into two subsamples, we conducted exploratory factor analysis (EFA) and confirmatory factor analysis (CFA) on subsample 1 (n = 293) and subsample 2 (n = 292), respectively. Both EFA and CFA indicated that the MHPS consisted of three factors: Academic, Self-regulatory, and Approval-seeking Reasons. Given an adequate level of measurement invariance, we further examined the latent mean difference across gender. Results revealed no statistically significant mean differences in Academic, Self-regulatory, and Approval-seeking Reasons across gender. Finally, consistent with theoretical expectations, Academic and self-regulatory Reasons were positively correlated with homework effort, homework completion, and math achievement.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1

Similar content being viewed by others

References

  • Browne, M. W., & Cudeck, R. (1993). Alternative ways of assessing model fit. In K. A. Bollen & J. S. Long (Eds.), Testing structural equation models (pp. 136–162). Newbury Park: Sage.

    Google Scholar 

  • Cai, J. (2003). Investigating parental roles in students’ learning of mathematics from a cross-national perspective. Mathematics Education Research Journal, 15(2), 87–106.

    Google Scholar 

  • Chen, F. F. (2007). Sensitivity of goodness of fit indexes to lack of measurement invariance. Structural Equation Modeling, 14, 464–504.

    Google Scholar 

  • Chen, C., & Stevenson, H. W. (1989). Homework: A cross-cultural examination. Child Development, 60, 551–561.

    PubMed  Google Scholar 

  • Cheung, G. W., & Rensvold, R. B. (2002). Evaluating goodness-of-fit indexes for testing measurement invariance. Structural Equation Modeling, 9, 233–255.

    Google Scholar 

  • Cooper, H. (1989). Homework. White Plains: Longman.

    Google Scholar 

  • Cooper, H., Lindsay, J. J., Nye, B., & Greathouse, S. (1998). Relationships among attitudes about homework, amount of homework assigned and completed, and student achievement. Journal of Educational Psychology, 90, 70–83.

    Google Scholar 

  • Cooper, H., Robinson, J. C., & Patall, E. A. (2006). Does homework improve academic achievement? A synthesis of research, 1987–2003. Review of Educational Research, 76, 1–62.

    Google Scholar 

  • Corno, L. (2000). Looking at homework differently. The Elementary School Journal, 100, 529–548.

    Google Scholar 

  • Coutts, P. M. (2004). Meanings of homework and implications for practice. Theory Into Practice, 43, 182–188.

    Google Scholar 

  • Cronbach, L. J. (1951). Coefficient alpha and the internal structure of tests. Psychometrika, 16, 297–334.

    Google Scholar 

  • Dettmers, S., Trautwein, U., Lüdtke, O., Kunter, M., & Baumert, J. (2010). Homework works if homework quality is high: Using multilevel modeling to predict the development of achievement in mathematics. Journal of Educational Psychology, 102, 467–482.

    Google Scholar 

  • Eccles, J. S. (1983). Expectancies, values and academic behaviors. In J. T. Spence (Ed.), Achievement and achievement motives: Psychological and sociological approaches (pp. 75–146). San Francisco: Freeman.

    Google Scholar 

  • Eccles, J. S., & Wigfield, A. (2002). Motivational beliefs, values, and goals. Annual Review of Psychology, 53, 109–132.

    PubMed  Google Scholar 

  • Else-Quest, N. M., Hyde, J. S., & Hejmadi, A. (2008). Mother and child emotions during mathematics homework. Mathematical Thinking and Learning, 10, 5–35.

    Google Scholar 

  • Fan, X., & Thompson, B. (2001). Confidence intervals about score reliability coefficients, please: An EPM guidelines editorial. Educational and Psychological Measurement, 61, 517–531.

    Google Scholar 

  • Gilson, J. (2002). Single-gender or coeducation for middle-school girls: Does it make a difference in math. In A. Datnow & L. Hubbard (Eds.), Gender in policy and practice: Perspectives on single-sex and coeducational schooling (pp. 227–242). New York: Routledge.

    Google Scholar 

  • Harris, S., Nixon, J., & Rudduck, J. (1993). School work, homework and gender. Gender and Education, 5, 3–14.

    Google Scholar 

  • Henson, R. K. (2001). Understanding internal consistency reliability estimates: A conceptual primer on coefficient alpha. Measurement and Evaluation in Counseling and Development, 34, 177–189.

    Google Scholar 

  • Henson, R. K., & Roberts, J. K. (2006). Use of exploratory factor analysis in published research: Common errors and some comment on improved practice. Educational and Psychological Measurement, 66, 393–416.

    Google Scholar 

  • Hong, E., Peng, Y., & Rowell, L. L. (2009). Homework self-regulation: Grade, gender, and achievement-level differences. Learning and Individual Differences, 19, 269–276.

    Google Scholar 

  • Horn, L., & West, J. (1992). National Education Longitudinal Study of 1988: A profile of parents of eighth graders. Washington, DC: U.S. Department of Education, Office of Educational Research and Improvement.

    Google Scholar 

  • Hu, L. T., & Bentler, P. M. (1999). Cutoff criteria for fit indexes in covariance structure analysis: Conventional criteria versus new alternatives. Structural Equation Modeling, 6, 1–55.

    Google Scholar 

  • Khojasteh, J., & Lo, W. J. (2015). Investigating the sensitivity of goodness-of-fit indices to detect measurement invariance in a bifactor model. Structural Equation Modeling, 22, 531–541.

  • King, R. B., Ganotice, F. A., & Watkins, D. A. (2014). A cross-cultural analysis of achievement and social goals among Chinese and Filipino students. Social Psychology of Education, 17, 439–455.

    Google Scholar 

  • Kline, R. B. (2010). Principles and practice of structural equation modeling (3rd ed.). New York: Guilford Press.

    Google Scholar 

  • Landers, M. (2013). Buying in and checking out: Identity development and meaning making in the practice of mathematics homework. Qualitative Research in Education, 2, 130–160.

    Google Scholar 

  • Marsh, H. W., Hau, K. T., & Wen, Z. (2004). In search of golden rules: Comment on hypothesis-testing approaches to setting cutoff values for fit indexes and dangers in overgeneralizing Hu and Bentler's (1999) findings. Structural Equation Modeling, 11, 320–341.

    Google Scholar 

  • Marsh, H. W., Pekrun, R., Lichtenfeld, S., Guo, J., Arens, A. K., & Murayama, K. (2016). Breaking the double-edged sword of effort/trying hard: Developmental equilibrium and longitudinal relations among effort, achievement, and academic self-concept. Developmental Psychology, 52, 1273–1290.

    PubMed  Google Scholar 

  • Martin, A. J., Yu, K., & Hau, K. T. (2014). Motivation and engagement in the ‘Asian century’: A comparison of Chinese students in Australia, Hong Kong, and mainland China. Educational Psychology, 34, 417–439.

    Google Scholar 

  • Maruyama, G. M. (1998). Basics of structural equation modeling. London: Sage.

    Google Scholar 

  • Meece, J. L., Glienke, B. B., & Burg, S. (2006). Gender and motivation. Journal of School Psychology, 44, 351–373.

    Google Scholar 

  • Milfont, T. L., & Fischer, R. (2010). Testing measurement invariance across groups: Applications in cross-cultural research. International Journal of Psychological Research, 3, 111–121.

    Google Scholar 

  • Muthén, L. K., & Muthén, B. O. (1998-2012). Mplus user’s guide (7th ed.). Los Angeles, Muthén & Muthén.

  • Ni, Y., Li, Q., Li, X., & Zhang, Z. H. (2011). Influence of curriculum reform: An analysis of student mathematics achievement in mainland China. International Journal of Educational Research, 50, 100–116.

    Google Scholar 

  • Nunnally, J. C. (1978). Psychometric theory (2nd ed.). New York: McGraw-Hill.

    Google Scholar 

  • Pezdek, K., Berry, T., & Renno, P. A. (2002). Children’s mathematics achievement: The role of parents’ perceptions and their involvement in homework. Journal of Educational Psychology, 94, 771–777.

    Google Scholar 

  • Rao, N., Moely, B. E., & Sachs, J. (2000). Motivational beliefs, study strategies, and mathematics attainment in high- and low-achieving Chinese secondary school students. Contemporary Educational Psychology, 25, 287–316.

    PubMed  Google Scholar 

  • Salili, F., Zhou, H., & Hoosain, R. (2003). Adolescent education in Hong Kong and mainland China: Effects of culture and context of learning on Chinese adolescents. In F. Pajares & T. Urdan (Eds.), Adolescence and education, Vol. III: International perspectives on adolescence (pp. 277–302). Greenwich: Information Age.

    Google Scholar 

  • Trautwein, U. (2007). The homework–achievement relation reconsidered: Differentiating homework time, homework frequency, and homework effort. Learning and Instruction, 17, 372–388.

    Google Scholar 

  • Trautwein, U., Ludtke, O., Schnyder, I., & Niggli, A. (2006). Predicting homework effort: Support for a domain-specific, multilevel homework model. Journal of Educational Psychology, 98, 438–456.

    Google Scholar 

  • Van Voorhis, F. L. (2004). Reflecting on the homework ritual: Assignments and designs. Theory Into Practice, 43, 205–212.

    Google Scholar 

  • Warton, P. M. (2001). The forgotten voices in homework: Views of students. Educational Psychologist, 36, 155–165.

    Google Scholar 

  • Xu, J. (2005). Purposes for doing homework reported by middle and high school students. Journal of Educational Research, 99, 46–55.

    Google Scholar 

  • Xu, J. (2006). Gender and homework management reported by high school students. Educational Psychology, 26, 73–91.

    Google Scholar 

  • Xu, J. (2008). Models of secondary students’ interest in homework: A multilevel analysis. American Educational Research Journal, 45, 1180–1205.

    Google Scholar 

  • Xu, J. (2010). Homework purpose scale for high school students: A validation study. Educational and Psychological Measurement, 70, 459–476.

    Google Scholar 

  • Xu, J., & Corno, L. (1998). Case studies of families doing third grade homework. Teachers College Record, 100, 402–436.

    Google Scholar 

  • Xu, J., & Yuan, R. (2003). Doing homework: Listening to students’, parents’, and teachers’ voices in one urban middle school community. School Community Journal, 13(2), 25–44.

    Google Scholar 

  • Xu, J., Fan, X., & Du, J. (2015). Homework management scale: Confirming the factor structure with middle school students in China. Psychology in the Schools, 52, 419–429.

    Google Scholar 

  • Xu, J., Du, J., & Fan, X. (2017). Self-regulation of mathematics homework behavior: An empirical investigation. Journal of Educational Research, 110, 467–477.

    Google Scholar 

  • Yang, F., Xu, J., Tan, H., & Liang, N. (2016). What keeps Chinese students motivated in doing math homework? An empirical investigation. Teachers College Record, 118(8), 1–26.

    Google Scholar 

Download references

Funding

The authors received no financial support for this study.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Jianzhong Xu.

Ethics declarations

Conflict of Interest

Authors declare no conflict of interest.

Human Studies

All procedures were conducted in accordance with the ethical standards of the institutional and national research committee, and with the 1964 Helsinki declaration and its amendments or comparable ethical standards.

Informed Consent

Informed consent was obtained from all participants.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Sun, M., Du, J. & Xu, J. Math homework purpose scale for preadolescents: a psychometric evaluation. Curr Psychol 39, 1740–1748 (2020). https://doi.org/10.1007/s12144-018-9870-2

Download citation

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s12144-018-9870-2

Keywords

Navigation