Enjoying mathematics or feeling competent in mathematics? Reciprocal effects on mathematics achievement and perceived math effort expenditure
Open accessAbstract
Background: The multidimensionality of the academic self‐concept in terms of domain specificity has been well established in previous studies, whereas its multidimensionality in terms of motivational functions (the so‐called affect‐competence separation) needs further examination. Aim: This study aims at exploring differential effects of enjoyment and competence beliefs on two external validity criteria in the field of mathematics. Sample: Data analysed in this study were part of a large‐scale longitudinal research project. Following a five‐wave design, math enjoyment, math competence beliefs, math achievement, and perceived math effort expenditure measures were repeatedly collected from a cohort of 4,724 pupils in Grades 3–7. Method: Confirmatory factor analysis ( CFA ) was used to test the internal factor structure of the math self‐concept. Additionally, a series of nested models was tested using structural equation modelling to examine longitudinal reciprocal interrelations between math competence beliefs and math enjoyment on the one hand and math achievement and perceived math effort expenditure on the other. Results: Our results showed that CFA models with separate factors for math enjoyment and math competence beliefs fit the data substantially better than models without it. Furthermore, differential relationships between both constructs and the two educational outcomes were observed. Math competence beliefs had positive effects on math achievement and negative effects on perceived math effort expenditure. Math enjoyment had (mild) positive effects on subsequent perceived effort expenditure and math competence beliefs. Conclusion: This study provides further support for the affect‐competence separation. Theoretical issues regarding adequate conceptualization and practical consequences for practitioners are discussed.
Integrity signals
Registry
Cites
Statistics
Claims the paper makes
Claims other papers make about this one
Each is checked against this paper’s own text: does it say what the citing paper says it does?
Initial attempts to study mediating processes in longitudinal designs yielded mixed findings with regards to the role of effort in the relationship between academic self-concept and academic achievement.
“To our knowledge, initial attempts to study mediating processes in longitudinal designs (Marsh et al., 2016;Pinxten et al., 2014;Trautwein et al., 2009) yielded mixed findings with regards to the role of effort in the relationship between ASC and academic achievement.”
From Motivation-Achievement Cycles in Learning: a Literature Review and Research Agenda (2022) · cites this paper as Pinxten et al., 2014
Marsh et al. (2016) and Pinxten et al. (2014) measured subjective effort, in which students were asked to rate their own effort expenditure.
“Specifically, Marsh et al. (2016) and Pinxten et al. (2014) measured subjective effort-i.e., students were asked to rate their own effort expenditure.”
From Motivation-Achievement Cycles in Learning: a Literature Review and Research Agenda (2022) · cites this paper as Pinxten et al., 2014
Cites
The "what" and "why" of goal pursuits: Human needs and the self-determination of behavior
Deci, E. L., & Ryan, R. M. (2000) · Psychological Inquiry · doi:10.1207/s15327965pli1104_01 · Cited by 34,210 · see citing works
Evaluating Goodness-of-Fit Indexes for Testing Measurement Invariance
Cheung, G. W., & Rensvold, R. B. (2002) · Structural Equation Modeling: A Multidisciplinary Journal · doi:10.1207/s15328007sem0902_5 · Cited by 16,280 · see citing works
Sensitivity of Goodness of Fit Indexes to Lack of Measurement Invariance
Chen, F. F. (2007) · Structural Equation Modeling: A Multidisciplinary Journal · doi:10.1080/10705510701301834 · Cited by 12,217 · see citing works
Positive psychology: An introduction.
Seligman, M. E. P., & Csikszentmihalyi, M. (2000) · American Psychologist · doi:10.1037/0003-066x.55.1.5 · Cited by 11,351 · see citing works
Mindset: The New Psychology of Success
(2006) · Choice Reviews Online · doi:10.5860/choice.44-2397 · Cited by 7,804 · see citing works
Expectancy-value theory of achievement motivation
Wigfield, A., & Eccles, J. S. (2000) · Contemporary Educational Psychology · doi:10.1006/ceps.1999.1015 · Cited by 7,383 · see citing works
Missing data analysis: making it work in the real world
Graham, J. W. (2009) · Annual Review of Psychology · doi:10.1146/annurev.psych.58.110405.085530 · Cited by 6,163 · see citing works
Handbook of Competence and Motivation
Elliot, A. J., & Dweck, C. S. (2013) · Cited by 4,671 · see citing works
Self-concept: validation of construct interpretations.
Shavelson, R. J., Hubner, J. J., & Stanton, G. C. (1976) · Review of Educational Research · doi:10.3102/00346543046003407 · Cited by 4,164 · see citing works
Pekrun, R., Goetz, T., Titz, W., & Perry, R. P. (2002) · Educational Psychologist · doi:10.1207/s15326985ep3702_4 · Cited by 3,931 · see citing works
Species Richness of Parasite Assemblages: Evolution and Patterns
Poulin, R. (1997) · Annual Review of Ecology and Systematics · doi:10.1146/annurev.ecolsys.28.1.341 · Cited by 3,500 · see citing works
Academic Self-Concept and Self-Efficacy: How Different Are They Really?
Bong, M., & Skaalvik, E. M. (2003) · Educational Psychology Review · doi:10.1023/a:1021302408382 · Cited by 1,994 · see citing works
Chen, F., Curran, P. J., Bollen, K. A., Kirby, J., & Paxton, P. (2008) · Sociological Methods & Research · doi:10.1177/0049124108314720 · Cited by 1,538 · see citing works
Goal theory, motivation, and school achievement: an integrative review.
Covington, M. V. (2000) · Annual Review of Psychology · doi:10.1146/annurev.psych.51.1.171 · Cited by 1,316 · see citing works
The Relation Between Self-Beliefs and Academic Achievement: A Meta-Analytic Review
Valentine, J. C., DuBois, D. L., & Cooper, H. (2004) · Educational Psychologist · doi:10.1207/s15326985ep3902_3 · Cited by 1,315 · see citing works
Marsh, H. W., Trautwein, U., Lüdtke, O., Köller, O., & Baumert, J. (2005) · Child Development · doi:10.1111/j.1467-8624.2005.00853.x · Cited by 1,198 · see citing works
Self-citationAcademic self‐concept and academic achievement: Relations and causal ordering
Marsh, H. W., & Martin, A. J. (2011) · British Journal of Educational Psychology · doi:10.1348/000709910x503501 · Cited by 975 · see citing works
Self-citationSubjective Task Value and the Eccles et al. Model of Achievement-Related Choices.
Eccles, J. S. (2005) · Cited by 927 · see citing works
Academic self-concept and academic achievement: Developmental perspectives on their causal ordering.
Guay, F., Marsh, H. W., & Boivin, M. (2003) · Journal of Educational Psychology · doi:10.1037//0022-0663.95.1.124 · Cited by 884 · see citing works
Self-citationMarsh, H. W., & Hau, K. (1996) · The Journal of Experimental Education · doi:10.1080/00220973.1996.10806604 · Cited by 700 · see citing works
Self-citationFrenzel, A. C., Pekrun, R. H., & Goetz, T. (2007) · European Journal of Psychology of Education · doi:10.1007/bf03173468 · Cited by 651 · see citing works
Robins, R. W., & Pals, J. L. (2002) · Self and Identity · doi:10.1080/15298860290106805 · Cited by 644 · see citing works
Comparison between self-concept and self-efficacy in academic motivation research
Bong, M., & Clark, R. E. (1999) · Educational Psychologist · doi:10.1207/s15326985ep3403_1 · Cited by 615 · see citing works
Measuring self-concept across the life span: Issues and instrumentation.
Byrne, B. M. (1996) · American Psychological Association eBooks · doi:10.1037/10197-000 · Cited by 605 · see citing works
Marsh, H. W., & O’Mara-Eves, A. (2008) · Personality and Social Psychology Bulletin · doi:10.1177/0146167207312313 · Cited by 571 · see citing works
Self-citationSelf-concept and academic achievement: A meta-analysis of longitudinal relations
Huang, C. (2011) · Journal of School Psychology · doi:10.1016/j.jsp.2011.07.001 · Cited by 558 · see citing works
Trautwein, U., Marsh, H. W., Nagengast, B., Lüdtke, O., Nagy, G., & Jonkmann, K. (2012) · Journal of Educational Psychology · doi:10.1037/a0027470 · Cited by 489 · see citing works
Self-citationFrenzel, A. C., Pekrun, R. H., & Goetz, T. (2007) · Learning and Instruction · doi:10.1016/j.learninstruc.2007.09.001 · Cited by 486 · see citing works
O’Mara-Eves, A., Marsh, H. W., Craven, R. G., & Debus, R. L. (2006) · Educational Psychologist · doi:10.1207/s15326985ep4103_4 · Cited by 467 · see citing works
Self-citationLinking Students’ Emotions and Academic Achievement: When and Why Emotions Matter
Valiente, C., Swanson, J., & Eisenberg, N. (2011) · Child Development Perspectives · doi:10.1111/j.1750-8606.2011.00192.x · Cited by 408 · see citing works
Who Took the “×” out of Expectancy-Value Theory?
Nagengast, B., Marsh, H. W., Scalas, L. F., Xu, M. K., Hau, K., & Trautwein, U. (2011) · Psychological Science · doi:10.1177/0956797611415540 · Cited by 403 · see citing works
Self-citationWatt, H. M. G., Shapka, J. D., Morris, Z., Durik, A. M., Keating, D. P., & Eccles, J. S. (2012) · Developmental Psychology · doi:10.1037/a0027838 · Cited by 353 · see citing works
Goetz, T., Frenzel, A. C., Hall, N. C., & Pekrun, R. H. (2007) · Contemporary Educational Psychology · doi:10.1016/j.cedpsych.2006.12.002 · Cited by 318 · see citing works
Marsh, H. W., & Ayotte, V. (2003) · Journal of Educational Psychology · doi:10.1037/0022-0663.95.4.687 · Cited by 249 · see citing works
Self-citationAcademic self-concept and emotion relations: Domain specificity and age effects
Goetz, T., Cronjaeger, H., Frenzel, A. C., Lüdtke, O., & Hall, N. C. (2009) · Contemporary Educational Psychology · doi:10.1016/j.cedpsych.2009.10.001 · Cited by 246 · see citing works
Marsh, H. W., Hau, K., & Kong, C.-K. (2002) · American Educational Research Journal · doi:10.3102/00028312039003727 · Cited by 230 · see citing works
Self-citationTrautwein, U., Lüdtke, O., Roberts, B. W., Schnyder, I., & Niggli, A. (2009) · Journal of Personality and Social Psychology · doi:10.1037/a0017048 · Cited by 217 · see citing works
The Reciprocal Internal/External Frame of Reference Model
Möller, J., Retelsdorf, J., Köller, O., & Marsh, H. (2011) · American Educational Research Journal · doi:10.3102/0002831211419649 · Cited by 212 · see citing works
Self-citationRelations among competence beliefs, utility value, achievement goals, and effort in mathematics
Chouinard, R., Karsenti, T. P., & Roy, N. (2006) · British Journal of Educational Psychology · doi:10.1348/000709906x133589 · Cited by 210 · see citing works
Skaalvik, E. M., & Valås, H. (1999) · The Journal of Experimental Education · doi:10.1080/00220979909598349 · Cited by 197 · see citing works
Arens, A. K., Yeung, A. S., Craven, R. G., & Hasselhorn, M. (2011) · Journal of Educational Psychology · doi:10.1037/a0025047 · Cited by 185 · see citing works
Craven, R. G., & Marsh, H. W. (2008) · Educational and Child Psychology · doi:10.53841/bpsecp.2008.25.2.104 · Cited by 182 · see citing works
Self-citationThe structure of academic self-concepts revisited: The nested Marsh/Shavelson model.
Brunner, M., Keller, U., Dierendonck, C., Reichert, M., Ugen, S., Fischbach, A., & Martin, R. (2010) · Journal of Educational Psychology · doi:10.1037/a0019644 · Cited by 181 · see citing works
Marsh, H. W., Abduljabbar, A. S., Abu-Hilal, M. M., Morin, A. J. S., Abdelfattah, F. A., Leung, K. C., Xu, M. K., Nagengast, B., & Parker, P. D. (2012) · Journal of Educational Psychology · doi:10.1037/a0029907 · Cited by 177 · see citing works
Self-citationSelf Description Questionnaire-I
Marsh, H. W. (1990) · PsycTESTS Dataset · doi:10.1037/t01843-000 · Cited by 175 · see citing works
Self-citationMarsh, H. W., Craven, R. G., & Debus, R. L. (1999) · Human Biology · Cited by 138 · see citing works
Self-citationGreene, B. A., DeBacker, T. K., Ravindran, B., & Krows, A. J. (1999) · Sex Roles · doi:10.1023/a:1018871610174 · Cited by 132 · see citing works
Skaalvik, E. M., & Rankin, R. J. (1990) · Journal of Educational Psychology · doi:10.1037/0022-0663.82.3.546 · Cited by 128 · see citing works
Shen, C., & Tam, H. P. (2008) · Educational Research and Evaluation · doi:10.1080/13803610801896653 · Cited by 98 · see citing works
Causal ordering of academic self‐concept and achievement: Effects of type of achievement measure
Pinxten, M., Fraine, B. D., Damme, J. V., & D’Haenens, E. (2010) · British Journal of Educational Psychology · doi:10.1348/000709910x493071 · Cited by 89 · see citing works
Self-citationLearning environment and students’ mathematics attitude
Vandecandelaere, M., Speybroeck, S., Vanlaar, G., Fraine, B. D., & Damme, J. V. (2012) · Studies In Educational Evaluation · doi:10.1016/j.stueduc.2012.09.001 · Cited by 79 · see citing works
Predicting Achievement in Mathematics in Adolescent Students
Levpušček, M. P., Zupančič, M., & Sočan, G. (2012) · The Journal of Early Adolescence · doi:10.1177/0272431612450949 · Cited by 74 · see citing works
Student self-concept and effort: gender and grade differences
Yeung, A. (2011) · Educational Psychology · doi:10.1080/01443410.2011.608487 · Cited by 58 · see citing works
Flagged first, then by citations
Cited by
Sorted by citations
Activity Achievement Emotions and Academic Performance: A Meta-analysis
Camacho-Morles, J., Slemp, G. R., Pekrun, R., Loderer, K., Hou, H., & Oades, L. G. (2021) · Educational Psychology Review · doi:10.1007/s10648-020-09585-3 · Cited by 475 · see citing works
Reciprocal relations between students’ academic enjoyment, boredom, and achievement over time
Putwain, D. W., Becker, S., Symes, W., & Pekrun, R. (2018) · Learning and Instruction · doi:10.1016/j.learninstruc.2017.08.004 · Cited by 228 · see citing works
Motivation-Achievement Cycles in Learning: a Literature Review and Research Agenda
Vu, T., Magis-Weinberg, L., Jansen, B. R. J., van Atteveldt, N., Janssen, T. W. P., Lee, N. C., van der Maas, H. L. J., Raijmakers, M. E. J., Sachisthal, M. S. M., & Meeter, M. (2022) · Educational Psychology Review · doi:10.1007/s10648-021-09616-7 · Cited by 224 · see citing works
Schnitzler, K., Holzberger, D., & Seidel, T. (2021) · European Journal of Psychology of Education · doi:10.1007/s10212-020-00500-6 · Cited by 213 · see citing works
Grigg, S., Perera, H. N., McIlveen, P., & Svetleff, Z. (2018) · Contemporary Educational Psychology · doi:10.1016/j.cedpsych.2018.01.007 · Cited by 180 · see citing works
Marsh, H. W., Pekrun, R., Lichtenfeld, S., Guo, J., Arens, A. K., & Murayama, K. (2016) · Developmental Psychology · doi:10.1037/dev0000146 · Cited by 126 · see citing works
Self-citationBurns, R. A., Crisp, D. A., & Burns, R. B. (2020) · British Journal of Educational Psychology · doi:10.1111/bjep.12265 · Cited by 109 · see citing works
Arens, A. K., Schmidt, I., & Preckel, F. (2019) · Journal of Educational Psychology · doi:10.1037/edu0000313 · Cited by 91 · see citing works
- Authors
- Pinxten, M., Marsh, H. W., De Fraine, B., Van Den Noortgate, W., & Van Damme, J.
- Affiliations
- KU Leuven (BE)
- Western Sydney University (AU)
- Centre for Educational Effectiveness and Evaluation KU Leuven Belgium
- Centre for Methodology of Educational Sciences KU Leuven Belgium
- Corresponding author
- Pinxten, Maarten
- Venue
- British Journal of Educational Psychology
- Publisher
- Wiley
- Published
- 2013-08-12
- Volume
- 84
- Issue
- 1
- Pages
- 152-174
- ISSN
- 0007-0998 (ISSN-L)
- 2044-8279
- OpenAlex
- W2024510656
- Cited by
- 260
- References
- 53
- Citations by year
- 2026: 15 · 2025: 22 · 2024: 22 · 2023: 31 · 2022: 21 · 2021: 30 · 2020: 27 · 2019: 26 · 2018: 16 · 2017: 17 · 2016: 16 · 2015: 11 · 2014: 5
- FWCI
- 14.42
- Type
- journal article
- Language
- en
- Open access
- green
- lirias.kuleuven.be
- Licence
- Locations
- British Journal of Educational Psychology (publishedVersion)
- PubMed (publishedVersion)
- Lirias (KU Leuven) (submittedVersion, other-oa)
- Topics
- Social Sciences › Psychology › Experimental and Cognitive Psychology › Education, Achievement, and Giftedness
- Physical Sciences › Mathematics › Applied Mathematics › Mathematics Education and Pedagogy
- Physical Sciences › Mathematics › Statistics and Probability › Cognitive and developmental aspects of mathematical skills
- Keywords
- mathematics achievement, mathematics self-concept, reciprocal effects, elementary school students, mathematics learning motivation
- MeSH terms
- Achievement, Adolescent, Affect, Belgium, Child, Factor Analysis, Statistical, Female, Humans, Longitudinal Studies, Male, Mathematics, Motivation, Personal Satisfaction, Surveys and Questionnaires, Self Concept, Students
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review