Skip to main content
Log in

Grade level, study time, and grade retention and their effects on motivation, self-regulated learning strategies, and mathematics achievement: a structural equation model

  • Published:
European Journal of Psychology of Education Aims and scope Submit manuscript

Abstract

The present study complements previous research findings with new data to improve our understanding of the relationship between motivational variables and academic performance in math mediated by self-regulated learning (SRL). A structural equation model with predictor (i.e., grade retention, grade level, and study time), process (i.e., perceived usefulness of SRL strategies, self-efficacy for the use of SRL strategies, and reported use of SRL), and product variables (i.e., academic achievement in mathematics) is proposed. The model was analyzed in two samples of data (calibration and validation samples). The first sample served to fit and respecify the model, and the second one was used to analyze the consistency of the findings of the first sample. A sample of 756 middle school Portuguese students participated in the current study. The results indicate that SRL is positively and significantly related to academic achievement and that the latter is, in turn, powerfully determined by perceived usefulness and self-efficacy, although students’ reported use of SRL strategies decreases from 7th to 9th grades. Self-efficacy and perceived usefulness of SRL strategies were also found to decrease as grade retention increased. These results are discussed with regard to the relevance of self-efficacy and perceived usefulness of SRL strategies in increasing academic 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

  • Arbuckle, J. L. (2009). Amos 18.0 user’s guide. Crawfordville: Amos Development Corporation.

    Google Scholar 

  • Bentler, P. M. (1995). EQS: structural equations program manual. Encino: Multivariate Software.

    Google Scholar 

  • Boekaerts, M., & Corno, L. (2005). Self-regulation in classroom: a perspective on assessment and intervention. Applied Psychology: An International Review, 54(2), 199–231.

    Article  Google Scholar 

  • Cleary, T. J., & Chen, P. P. (2009). Self-regulation, motivation, and math achievement in middle school: variations across grade level and math context. Journal of School Psychology, 47, 291–314.

    Article  Google Scholar 

  • Cleary, T. J., & Zimmerman, B. J. (2006). Teachers’ perceived usefulness of strategy microanalytic assessment information. Psychology in the Schools, 43(2), 149–155.

    Article  Google Scholar 

  • Desforges, C., & Abouchaar, A. (2003). The impact of parental involvement, parental support and family education on pupil achievement and adjustment: a literature review. Nottingham: Queen’s Printer.

    Google Scholar 

  • Dewitte, S., & Lens, W. (2000). Exploring volitional problems in procrastinators. International Journal of Educational Research, 33, 733–750.

    Article  Google Scholar 

  • Eurydice (2011). Grade retention during compulsory education in Europe: Regulations and statistics. Available from http://eacea.ec.europa.eu/education/eurydice/thematic_studies_en.php.

  • Finney, S. J., & DiStefano, C. (2006). Non-normal and categorical data in structural equation modelling. In G. R. Hancock & R. O. Mueller (Eds.), Structural equation modelling: a second course (pp. 269–314). Greenwich: Information Age Publishing.

    Google Scholar 

  • Fredricks, J. A., & Eccles, J. S. (2002). Children’s competence and value beliefs from childhood through adolescence. Developmental Psychology, 38(4), 519–533.

    Article  Google Scholar 

  • Gelman, A., & Hill, J. (2006). Data analysis using regression and multilevel hierarchical models. Cambridge: Cambridge University Press.

    Book  Google Scholar 

  • Goldstein, H. (2003). Multilevel statistical models. New York: Arnold.

    Google Scholar 

  • Gortner-Lahmers, A., & Zulauf, C. R. (2000). Factors associated with academic time use and academic performance of college students: a recursive approach. Journal of College Student Development, 41, 544–556.

    Google Scholar 

  • Graham, S., Harris, K. R., & Mason, L. (2006). Improving the writing, knowledge, and motivation of struggling young writers: effects of self-regulated strategy development with and without peer support. American Educational Research Journal, 43(2), 295–340.

    Article  Google Scholar 

  • Jacobs, J. E., Lanza, S., Osgood, D. W., Eccles, J. S., & Wigfield, A. (2002). Changes in children’s self-competence and values: gender and domain differences across grades one through twelve. Child Development, 73(2), 509–527.

    Article  Google Scholar 

  • Jimerson, S. R., Anderson, G., & Whipple, A. (2002). Winning the battle and losing the war: examining the relation between grade retention and dropping out of high school. Psychology in the Schools, 39(4), 441–457.

    Article  Google Scholar 

  • Kenny, D. T. (1991). Is more of the same better? A study of grade repetition. SET, number 2, Item 11, 1–5, Australian Council for Educational Research.

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

    Google Scholar 

  • Maas, C. J. M., & Hox, J. J. (2005). Sufficient sample sizes for multilevel modeling. Methodology, 1, 86–92.

    Google Scholar 

  • McKenzie, K., Gow, K., & Schweitzer, R. (2004). Exploring first-year academic achievement through structural equation modelling. Higher Education Research and Development, 23(1), 95–112.

    Article  Google Scholar 

  • Michaels, J. W., & Miethe, T. D. (1989). Academic effort and college grades. Social Forces, 68, 309–319.

    Google Scholar 

  • Niemiec, C. P., Lynch, M. F., Vansteenkiste, M., Bernstein, J., Deci, E. L., & Ryan, R. M. (2006). The antecedents and consequences of autonomous self-regulation for college: a self-determination theory perspective on socialization. Journal of Adolescence, 29, 761–775.

    Article  Google Scholar 

  • Nist, S. L., & Holschuh, J. L. (2000). College studying. In M. L. Kamil, P. B. Mosenthal, P. D. Pearson, & R. Barr (Eds.), Handbook of reading research, vol. 3 (pp. 645–666). Mahwah: Erlbaum.

    Google Scholar 

  • Nota, L., Soresi, S., & Zimmerman, B. J. (2004). Self-regulation and academic achievement and resilience: a longitudinal study. International Journal of Educational Research, 41(3), 198–251.

    Article  Google Scholar 

  • OECD (2010). PISA 2009 results: what students know and can do—student performance in reading, mathematics and science (volume I). Available from http://dx.doi.org/10.1787/9789264091450-en.

  • Pajares, F. (2008). Motivational role of self-efficacy beliefs in self-regulated learning. In D. H. Schunk & B. J. Zimmerman (Eds.), Motivation and self-regulated learning. Theory, research, and applications (pp. 111–140). Mahwah: Erbaum.

    Google Scholar 

  • Pajares, F., & Valiante, G. (2002). Students’ self-efficacy in their self-regulated learning strategies: a developmental perspective. Psychologia, 45, 211–221.

    Article  Google Scholar 

  • Plant, E. A., Ericsson, K. A., Hill, L., & Asberg, K. (2005). Why study time does not predict grade point average across college students: implications of deliberate practice for academic performance. Contemporary Educational Psychology, 30, 96–116.

    Article  Google Scholar 

  • Planty, M., Hussar, W., Snyder, T., Kena, G., KewalRamani, A., Kemp, J., Bianco, K., & Dinkes, R. (2009). The condition of education 2009 (NCES 2009-081). Washington: National Center for Education Statistics, Institute of Education Sciences, U.S. Department of Education.

    Google Scholar 

  • Rau, W., & Durand, A. (2000). The academic ethic and college grades: does hard work help students to “make the grade?”. Sociology of Education, 73, 19–38.

    Article  Google Scholar 

  • Reeve, J., & Jang, H. (2006). What teachers say and do to support students’ autonomy during a learning activity. Journal of Educational Psychology, 98, 209–218.

    Article  Google Scholar 

  • Rosário, P., Mourão, R., Núñez, J. C., González-Pienda, J. A., Solano, P., & Valle, A. (2007). Efficacy of an instructional program to improve learning processes and strategies in higher education. Psicothema, 19(3), 353–358.

    Google Scholar 

  • Rosário, P., Mourão, R., Núñez, J. C., & Solano, P. (2008). Homework and SRL at issue: findings and future trends. In A. Valle, J. C. Núñez, R. G. Cabanach, J. A. González-Pienda, & S. Rodríguez (Eds.), Handbook of instructional resources and their applications in the classroom (pp. 123–134). New York: Nova Science.

    Google Scholar 

  • Rosário, P., Costa, M., Núñez, J. C., González-Pienda, J., Solano, P., & Valle, A. (2009). Academic procrastination: associations with personal, school, and family variables. The Spanish Journal of Psychology, 12(1), 118–127.

    Article  Google Scholar 

  • Rosário, P., Mourão, R., Baldaque, M., Núñez, J. C., González-Pienda, J. A., Cerezo, R., & Valle, A. (2009). Homework, self-regulation of learning and math performance. Revista de Psicodidática, 14(2), 179–192.

    Google Scholar 

  • Rosário, P., González-Pienda, J. A., Cerezo, R., Pinto, R., Ferreira, P., Lourenço, A., & Paiva, O. (2010). Efficacy of the program Testas’s (mis)adventures» to promote the deep approach to learning. Psicothema, 22(4), 828–834.

    Google Scholar 

  • Rosário, P., Núñez, J. C., González-Pienda, J. A., Valle, A., Trigo, L., & Guimarães, C. (2010). Enhancing self-regulation and approaches to learning in first-year college students: a narrative-based program assessed in the Iberian Peninsula. European Journal of Psychology of Education, 25, 411–428.

    Article  Google Scholar 

  • Schunk, D. H., & Ertmer, P. A. (2000). Self-regulation and academic learning, self-efficacy enhancing interventions. In M. Boekaerts, P. Pintrich, & M. Zeidner (Eds.), Handbook of self-regulation (pp. 631–649). San Diego: Academic.

    Chapter  Google Scholar 

  • Trautwein, U., Ludtke, O., Kastens, C., & Koller, O. (2006). Effort on homework in grades 5–9: development, motivational antecedents, and the association with effort on class-work. Child Development, 77(4), 1094–1111.

    Article  Google Scholar 

  • Urdan, T., & Midgley, C. (2003). Changes in the perceived classroom goal structure and pattern of adaptive learning during early adolescence. Contemporary Educational Psychology, 28, 524–551.

    Article  Google Scholar 

  • Usher, E. L., & Pajares, F. (2008). Sources of self-efficacy in school: critical review of the literature and future directions. Review of Educational Research, 78, 751–796.

    Article  Google Scholar 

  • Välijärvi, J., & Sahlberg, P. (2008). Should ‘failing’ students repeat a grade? Retrospective response from Finland. Journal of Educational Change, 9, 385–389.

    Article  Google Scholar 

  • Walker, C. O., & Greene, B. A. (2009). The relations between student motivational beliefs and cognitive engagement in high school. The Journal of Educational Research, 102, 463–471.

    Article  Google Scholar 

  • West, S. G., Finch, J. F., & Curran, P. J. (1995). Structural equation models with non-normal variables: problems and remedies. In R. Hoyle (Ed.), Structural equation modeling: concepts, issues and applications (pp. 56–75). Newbury Park: Sage.

    Google Scholar 

  • Winne, P. H., & Nesbit, J. C. (2010). The psychology of academic achievement. Annual Review of Psychology, 61, 653–678.

    Article  Google Scholar 

  • Zimmerman, B. J. (1998). Academic studying and the development of personal skill: a self-regulatory perspective. Educational Psychologist, 33(2/3), 73–86.

    Google Scholar 

  • Zimmerman, B. J. (2008). Investigating self-regulation and motivation: historical background, methodological developments, and future prospects. American Educational Research Journal, 45, 166–183.

    Article  Google Scholar 

  • Zimmerman, B. J., & Schunk, D. H. (2008). Motivation: an essential dimension of self-regulated learning. In D. H. Schunk & B. J. Zimmerman (Eds.), Motivation and self-regulated learning. Theory, research, and applications (pp. 1–30). Mahwah: Erlbaum.

    Google Scholar 

  • Zimmerman, B. J., Bandura, A., & Martinez-Pons, M. (1992). Self-motivation for academic attainment: the role of self-efficacy beliefs and personal goal setting. American Education Research Journal, 29, 663–676.

    Article  Google Scholar 

Download references

Acknowledgments

We gratefully acknowledge the insightful suggestions provided by two anonymous reviewers on the previous version of this manuscript.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Pedro Rosário.

Additional information

Pedro Rosário. Psychology Department of University of Minho, Campus de Gualtar, 4710-057, Braga, Portugal. E-mail: prosario@iep.uminho.pt; Web site: www.psi.uminho.pt; Web site: www.guia-psiedu.com

Current themes of research:

Self-regulated learning. Programs to enhance self-regulation. Study skills and approaches to learning. Homework.

Most relevant publications in the field of Psychology of Education (max: 5):

1. Rosário, P., Lourenço, A., Paiva, O., Valle, A., & Tuero-Herrero, E. (2012). Predicción del rendimiento en matemáticas: efecto de variables personales, socioeducativas y del contexto escolar. Psicothema, 24(2), 289–295.

2. Rosário, P., Lourenço, A., Paiva, O., Núnez, J., González-Pienda, J. & Valle, A. (2012). Autoeficacia y utilidad percibida como condiciones necesarias para un aprendizaje académico autorregulado. Anales de Psicologia, 28 (1), 37–44.

3. Rosário, P. Mourão, R., Trigo, L., Suárez, N., Fernández, E. & Tuero-Herrero, E. (2011). Uso de diarios de tareas para casa en el inglés como lengua extranjera: evaluación de pros y contras en el aprendizaje autorregulado y rendimiento. Psicothema, 23(4), 881–887.

4. Rosário, P., Núñez, J. C., González-Pienda, J., Valle, A., Trigo, L., & Guimarães, C. (2010). Enhancing self-regulation and approaches in first-year college students: A narrative-based program assessed in the Iberian Peninsula. European Journal of Psychology of Education, 25, 411–428.

5. Rosário, P., Costa, M., Núñez, J.C., González-Pienda, J., Solano, P., & Valle, A. (2009). Academic Procrastination: Associations with personal, school, and family variables. Spanish Journal of Psychology, 12(1), 118–127.

José Carlos Núñez. Psychology Department of University of Oviedo, Plaza Feijoo s/n, 33003, Oviedo, España. E-mail: jcarlos@telecable.es; Web site: www.uniovi.es/zope/departamentos/Psicologia

Current themes of research:

Self-regulated learning. Motivation in higher education. Approaches to learning. Homework and school achievement. Assessment.

Most relevant publications in the field of Psychology of Education (max: 5):

Núnez, J. C., González-Pienda, J., Rodríguez, C., Valle, A., González-Cabanach, R. & Rosário, P. (2011). Multiple Goals Perspective in Adolescent Students with Learning Difficulties. Learning Disability Quarterly, 34, 273–286.

Núnez, J. Cerezo, R., González-Pienda, J., Rosário, P., Valle, A., Fernández, E. & Suárez, N. (2011). Implementation of training programs in self-regulated learning strategies in Moodle format: Results of a experience in higher education. Psicothema, 23(2), 274–281.

Rosário, P., Núñez, J. C., González-Pienda, J., Valle, A., Trigo, L., & Guimarães, C. (2010). Enhancing self-regulation and approaches in first-year college students: A narrative-based program assessed in the Iberian Peninsula. European Journal of Psychology of Education, 25, 411–428.

Valle, A., Cabanach, R.G., Rodríguez, S., Núñez, J.C., González-Pienda, J.A., Solano, P., & Rosário, P. (2007). A motivational perspective on the self-regulated learning in higher education. In P. B. Richards (Ed.), Global issues in higher education (pp. 99–125). New York: Nova Science Publishers.

Valle, A., Núñez, J. C., Cabanach, R., González-Pienda, J., Rodríguez, S., Rosário, P., Cerezo, R., & Muñoz-Cadavid, M. (2008). Self-Regulated Profiles and Academic Achievement. Psicothema, 20(4), 724–731.

Julio González-Pienda. Psychology Department of University of Oviedo, Plaza Feijoo s/n, 33003, Oviedo, España. E-mail: julioag@uniovi.es; Web site: www.uniovi.es/zope/departamentos/Psicologia

Current themes of research:

Self-regulated learning. Family and school relations. Mathematics education. Motivation and school achievement.

Most relevant publications in the field of Psychology of Education (max: 5):

Valle, A., Rodríguez, S., J. C. Núñez, J.C., Cabanach, R., González-Pienda, J. A. & Rosário, R. (2010). Motivación y Aprendizaje Autorregulado. Interamerican Journal of Psychology, 44, 1, 86–97.

Núñez, J.C., González-Pienda, J., Bernardo, A., Alvarez, L., Rosário, P., Valle, A., Cabanach, R., Rodríguez, S., & Castejón, J. L. (2008). Intellectual Abilities, Thinking Styles, and Academic Achievement. In A. Valle, J.C. Núñez, R.G. Cabanach, J.A. González-Pienda, & S. Rodríguez (Eds.), Handbook of instructional resources and their applications in the classroom (pp. 45–66). NY: Nova Science.

Rosário,P., Costa, M., Núñez, J.C., González-Pienda, J., Solano, P., & Valle, A. (2009). Academic Procrastination: Associations with personal, school, and family variables. Spanish Journal of Psychology, 12(1), 118–127. (ISI Impact Factor, 0.558)

Valle, A., Cabanach, R.G., Rodríguez, S., Núñez, J.C., González-Pienda, J.A., Solano, P., & Rosário, P. (2007). A motivational perspective on the self-regulated learning in higher education. In P. B. Richards (Ed.), Global issues in higher education (pp. 99–125). New York: Nova Science Publishers

Núñez, J. C., Solano, P., González-Pienda, J., & Rosário, P. (2006). El aprendizaje autorregulado como medio y meta de la educación. Papeles del Psicólogo, 2 (3), 139–146.

Antonio Valle. Department of Developmental and Educational Psychology, University of A Coruña, Campus de Elviña, 15071, A Coruña, España. E-mail: vallar@udc.es; Web site: http://www.udc.es/dep/psee

Current themes of research:

Goals. Self-regulated learning. Higher education. School achievement.

Most relevant publications in the field of Psychology of Education (max: 5):

Valle, A., Rodríguez, S., J. C. Núñez, J.C., Cabanach, R., González-Pienda, J. A. & Rosário, R. (2010). Motivación y Aprendizaje Autorregulado. Interamerican Journal of Psychology, 44, 1, 86–97.

Valle, A., Núñez, J.C., Cabanach, R., González-Pienda, J., Rodríguez, S., & Rosário, P. (2009). Academic Goals and Learning Quality in Higher Education Students. Spanish Journal of Psychology, 12(1), 96–105.

Valle, A., Núñez, J. C., Cabanach, R., Rodríguez, S., González-Pienda, J., & Rosário, P. (2009) Perfiles Motivacionales en Estudiantes de Secundaria: Análisis Diferencial en Estrategias Cognitivas, Estrategias de Autorregulación y Rendimiento Académico. Revista Mexicana de Psicología, 26 (1), 113–124.

Valle, A., Cabanach, R.G., Núñez, J.C., González-Pienda, J.A., Rodríguez, S., & Piñeiro, I. (2003). Multiple goals, motivation and academic learning. British Journal of Educational Psychology, 73, 71–87.

Núnez, J. C., González-Pienda, J., Rodríguez, C., Valle, A., González-Cabanach, R. & Rosário, P. (2011). Multiple Goals Perspective in Adolescent Students with Learning Difficulties. Learning Disability Quarterly, 34, 273–286.

Abílio Lourenço. Psychology Department of Psychology. E-mail: privadoxy@gmail.com; Web site: www.guia-psiedu.com

Current themes of research:

Self-regulated learning. Approaches to learning. Higher education.

Most relevant publications in the field of Psychology of Education (max: 5):

Rosário, P., González-Pienda, J. A., Pinto, R., Ferreira, P., Lourenço, A. & Paiva, O. (2010). Efficacy of the program “Testas’s (mis)adventures” to promote the deep approach to learning. Psicothema, 22 (4), 828–834.

Rosário, P., Lourenço, A., Paiva, O., Núnez, J., González-Pienda, J. & Valle, A. (2012). Autoeficacia y utilidad percibida como condiciones necesarias para un aprendizaje académico autorregulado. Anales de Psicologia, 28 (1), 37–44.

Rosário, P., Lourenço, A., Paiva, O.,Valle, A., & Tuero-Herrero, E. (2012). Predicción del rendimiento en matemáticas: efecto de variables personales, socioeducativas y del contexto escolar. Psicothema, 24(2), 289–295.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Rosário, P., Núñez, J.C., Valle, A. et al. Grade level, study time, and grade retention and their effects on motivation, self-regulated learning strategies, and mathematics achievement: a structural equation model. Eur J Psychol Educ 28, 1311–1331 (2013). https://doi.org/10.1007/s10212-012-0167-9

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10212-012-0167-9

Keywords

Navigation