Formation of academic self-concept and intrinsic value within and across three domains: Extending the reciprocal internal/external frame of reference model
Arens, A. Katrin; NIEPEL, Christoph
2023 • In British Journal of Educational Psychology
NIEPEL, Christoph ; University of Luxembourg > Faculty of Humanities, Education and Social Sciences (FHSE) > Department of Behavioural and Cognitive Sciences (DBCS)
External co-authors :
yes
Language :
English
Title :
Formation of academic self-concept and intrinsic value within and across three domains: Extending the reciprocal internal/external frame of reference model
Arens, A. K., Becker, M., & Möller, J. (2017). Social and dimensional comparisons in math and verbal test anxiety: Within- and cross-domain relations with achievement and the mediating role of academic self-concept. Contemporary Educational Psychology, 51, 240–252. https://doi.org/10.1016/j.cedpsych.2017.08.005
Arens, A. K., Becker, M., & Möller, J. (2018). The internal/external frame of reference (I/E) model: Extension to five school subjects and invariance across German secondary school ability tracks. Learning and Individual Differences, 67, 143–155. https://doi.org/10.1016/j.lindif.2018.07.005
Arens, A. K., Helm, F., Wolff, F., & Möller, J. (2020). Social and dimensional comparisons in the formation of German students' language self-concepts. The Journal of Experimental Education, 88(2), 245–264. https://doi.org/10.1080/00220973.2019.1635069
Arens, A. K., Jansen, M., Preckel, F., Schmidt, I., & Brunner, M. (2021). The structure of academic self-concept: A methodological review and empirical illustration of central models. Review of Educational Research, 91(1), 34–72. https://doi.org/10.3102/0034654320972186
Arens, A. K., Marsh, H. W., Pekrun, R., Lichtenfeld, S., Murayama, K., & vom Hofe, R. (2017). Math self-concept, grades, and achievement test scores: Long-term reciprocal effects across five waves and three achievement tracks. Journal of Educational Psychology, 109(5), 621–634. https://doi.org/10.1037/edu0000163
Arens, A. K., & Preckel, F. (2018). Testing the internal/external frame of reference model with elementary school children: Extension to physical ability and intrinsic value. Contemporary Educational Psychology, 54, 199–211. https://doi.org/10.1016/j.cedpsych.2018.06.003
Arens, A. K., Schmidt, I., & Preckel, F. (2019). Longitudinal relations among self-concept, intrinsic value, and attainment value across secondary school years in three academic domains. Journal of Educational Psychology, 111(4), 663–684. https://doi.org/10.1037/edu0000313
Artelt, C., Blossfeld, H.-P., Faust, G., Roßbach, H.-G., & Weinert, S. (2013). Bildungsprozesse, Kompetenzentwicklung und Selektionsentscheidungen im Vorschul- und Schulalter (BiKS-8-14) [educational processes, competence development and selection decisions in preschool and school age (BiKS 8-14)] (version 2) [data set]. IQB – Institut zur Qualitätsentwicklung im Bildungswesen. Datensatz. https://doi.org/10.5159/IQB_BIKS_8_14_v2
Aunola, K., Leskinen, E., & Nurmi, J.-E. (2006). Developmental dynamics between mathematical performance, task motivation, and teachers' goals during the transition to primary school. The British Journal of Educational Psychology, 76(1), 21–40. https://doi.org/10.1348/000709905X51608
Becker, M., Neumann, M., & Dumont, H. (2016). Recent developments in school tracking practices in Germany: An overview and outlook on future trends. Orbis Scholae, 10(3), 9–25. https://doi.org/10.14712/23363177.2017.8
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). Sage.
Cheung, G. W., & Rensvold, R. B. (2002). Evaluating goodness-of-fit indexes for testing measurement invariance. Structural Equation Modeling: A Multidisciplinary Journal, 9(2), 233–255. https://doi.org/10.1207/S15328007SEM0902_5
Cirino, P. T., Child, A. E., & Macdonald, K. (2018). Longitudinal predictors of the overlap between reading and math skills. Contemporary Educational Psychology, 54, 99–111. https://doi.org/10.1016/j.cedpsych.2018.06.002
Corpus, J. H., McClintic-Gilbert, M. S., & Hayenga, A. O. (2009). Within-year changes in children's intrinsic and extrinsic motivational orientations: Contextual predictors and academic outcomes. Contemporary Educational Psychology, 34(2), 154–166. https://doi.org/10.1016/j.cedpsych.2009.01.001
Curran, P. J., & Bollen, K. A. (2001). The best of both worlds: Combining autoregressive and latent curve models. In L. M. Collins & A. G. Sayer (Eds.), New methods for the analysis of change (pp. 105–136). American Psychological Association.
Denissen, J. J. A., Zarrett, N. R., & Eccles, J. S. (2007). I like to do it, I'am able, and I know I am: Longitudinal couplings between domain-specific achievement, self-concept, and interest. Child Development, 78(2), 430–447. https://doi.org/10.1111/j.1467-8624.2007.01007.x
Dörendahl, J., Scherer, R., Greiff, S., Martin, R., & Niepel, C. (2021). Dimensional comparisons in the formation of domain-specific achievement goals. Motivation Science, 7(3), 306–318. https://doi.org/10.1037/mot0000203
Eccles, J. S., & Wigfield, A. (2002). Motivational beliefs, values, and goals. Annual Review of Psychology, 53, 109–132. https://doi.org/10.1146/annurev.psych.53.100901.135153
Ehm, J.-H., Hasselhorn, M., & Schmiedek, F. (2019). Analyzing the developmental relation of academic self-concept and achievement in elementary school children: Alternative models point to different results. Developmental Psychology, 55(11), 2336–2351. https://doi.org/10.1037/dev0000796
Enders, C. K. (2010). Applied missing data analysis. Guilford.
Fisher, P. H., Dobbs-Oates, J., Doctoroff, G. L., & Arnold, D. H. (2012). Early math interest and the development of math skills. Journal of Educational Psychology, 104(3), 673–681. https://doi.org/10.1037/a0027756
Franzen, P., Arens, A. K., Greiff, S., & Niepel, C. (2022). Student profiles of self-concept a interest in four domains: A latent transition analysis. Learning and Individual Differences, 95, 102139. https://doi.org/10.1016/j.lindif.2022.102139
Ganzeboom, H. B., De Graaf, P. M., & Treiman, D. J. (1992). A standard international socioeconomic index of occupational status. Social Science Research, 21(1), 1–56. https://doi.org/10.1016/0049-089X(92)90017-B
Garon-Carrier, G., Boivin, M., Guay, F., Kovas, Y., Dionne, G., Lemelin, J.-P., Séguin, J.-R., Vitaro, F., … Tremblay, R. E. (2016). Intrinsic motivation and achievement in mathematics in elementary school: A longitudinal investigation of their association. Child Development, 87(1), 165–175. https://doi.org/10.1111/cdev.12458
Gaspard, H., Dicke, A.-L., Flunger, B., Schreier, B., Häfner, I., Trautwein, U., & Nagengast, B. (2015). More value through greater differentiation: Gender differences in value beliefs about math. Journal of Educational Psychology, 107(3), 663–677. https://doi.org/10.1037/edu0000003
Gaspard, H., Wigfield, A., Jiang, Y., Nagengast, B., Trautwein, U., & Marsh, H. W. (2018). Dimensional comparisons: How academic track students' achievements are related to their expectancy and value beliefs across multiple domains. Contemporary Educational Psychology, 52, 1–14. https://doi.org/10.1016/j.cedpsych.2017.10.003
Goetz, T., Frenzel, A. C., Hall, N. C., & Pekrun, R. (2008). Antecedents of academic emotions: Testing the internal/external frame of reference model for academic enjoyment. Contemporary Educational Psychology, 33(1), 9–33. https://doi.org/10.1016/j.cedpsych.2006.12.002
Guo, J., Marsh, H. W., Parker, P. D., Morin, A. J. S., & Dicke, T. (2017). Extending expectancy-value theory predictions of achievement and aspirations in science: Dimensional comparison processes and expectancy-by-value interactions. Learning and Instruction, 49, 81–91. https://doi.org/10.1016/j.learninstruc.2016.12.007
Guo, J., Parker, P. D., Marsh, H. W., & Morin, A. J. S. (2015). Achievement, motivation, and educational choices: A longitudinal study of expectancy and value using a multiplicative perspective. Developmental Psychology, 51(8), 1163–1176. https://doi.org/10.1037/a0039440
Hamaker, E. L., Kuiper, R. M., & Grasman, R. P. P. P. (2015). A critique of the cross-lagged panel model. Psychological Methods, 20(1), 102–116. https://doi.org/10.1037/a0038889
Harackiewicz, J. M., Canning, E. A., Tibbetts, Y., Priniski, S. J., & Hyde, J. S. (2016). Closing achievement gaps with a utility-value intervention: Disentangling race and social class. Journal of Personality and Social Psychology, 111(5), 745–765. https://doi.org/10.1037/pspp0000075
Harter, S. (1999). The construction of the self. A developmental perspective. Guilford.
Helm, F., Müller-Kalthoff, H., Nagy, N., & Möller, J. (2016). Dimensional comparison theory: Perceived subject similarity impacts on students' self-concepts. AERA Open, 2(2), 1–9. https://doi.org/10.1177/2332858416650624
Hu, L. T., & Bentler, P. M. (1999). Cutoff criteria for fit indexes in covariance structure analysis: Conventional criteria versus new alternatives. Structural Equation Modeling: A Multidisciplinary Journal, 6(1), 1–55. https://doi.org/10.1080/10705519909540118
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. https://doi.org/10.1111/1467-8624.00421
Jansen, M., Schroeders, U., Lüdtke, O., & Marsh, H. W. (2015). Contrast and assimilation effects of dimensional comparisons in five subjects: An extension of the I/E model. Journal of Educational Psychology, 107(4), 1086–1101. https://doi.org/10.1037/edu0000021
Kadir, M. S., Yeung, A. S., & Diallo, T. M. (2017). Simultaneous testing of four decades of academic self-concept models. Contemporary Educational Psychology, 51, 429–446. https://doi.org/10.1016/j.cedpsych.2017.09.008
Karbach, J., Gottschling, J., Spengler, M., Hegewald, K., & Spinath, F. M. (2013). Parental involvement and general cognitive ability as predictors of domain-specific academic achievement in early adolescence. Learning and Instruction, 23, 43–51. https://doi.org/10.1016/j.learninstruc.2012.09.004
Kline, R. B. (2005). Principles and practice of structural equation modeling. Guilford.
Kuncel, N. R., Credé, M., & Thomas, L. L. (2016). The validity of self-reported grade point averages, class ranks, and test scores: A meta-analysis and review of the literature. Review of Educational Research, 75(1), 63–82. https://doi.org/10.3102/00346543075001063
Lauermann, F., Tsai, Y.-M., & Eccles, J. S. (2017). Math-related career aspirations and choices within Eccles et al.'s expectancy-value theory of achievement-related behaviors. Developmental Psychology, 53(8), 1540–1559. https://doi.org/10.1037/dev0000367
Little, R., & Rubin, D. (2002). Statistical analysis with missing data. John Wiley.
Marsh, H. W. (1986). Verbal and math self-concepts: An internal/external frame of reference model. American Educational Research Journal, 23(1), 129–149. https://doi.org/10.2307/1163048
Marsh, H. W. (1990). Influences of internal and external frames of reference on the formation of math and English self-concepts. Journal of Educational Psychology, 82(1), 107–116. https://doi.org/10.1037/0022-0663.82.1.107
Marsh, H. W., Abduljabbar, A. S., Parker, P. D., Morin, A. J. S., Abdelfattah, F. A., Nagengast, B., Möller, J., & Abu-Hilal, M. M. (2015). The internal/external frame of reference model of self-concept and achievement relations: Age-cohort and cross-cultural differences. American Educational Research Journal, 52(1), 168–202. https://doi.org/10.3102/0002831214549453
Marsh, H. W., & Craven, R. G. (2006). Reciprocal effects of self-concept and performance from a multidimensional perspective. Beyond seductive pleasure and unidimensional perspectives. Perspectives on Psychological Science, 1(2), 133–163. https://doi.org/10.1111/j.1745-6916.2006.00010.x
Marsh, H. W., Gerlach, E., Trautwein, U., Lüdtke, O., & Brettschneider, W.-D. (2007). Longitudinal study of preadolescent sport self-concept and performance: Reciprocal effects and causal ordering. Child Development, 78(6), 1640–1656. https://doi.org/10.1111/j.1467-8624.2007.01094.x|
Marsh, H. W., & Hau, K.-T. (1996). Assessing goodness of fit: Is parsimony always desirable? The Journal of Experimental Education, 64(4), 364–390. https://doi.org/10.1080/00220973.1996.10806604
Marsh, H. W., Hau, K.-T., & Kong, C.-K. (2002). Multilevel causal ordering of academic self-concept and achievement: Influence of language of instruction (English compared with Chinese) for Hong Kong students. American Educational Research Journal, 39(3), 727–763. https://doi.org/10.3102/00028312039003727
Marsh, H. W., Kuyper, H., Seaton, M., Parker, P. D., Morin, A. J. S., Möller, J., & Abduljabbar, A. S. (2014). Dimensional comparison theory: An extension of the internal/external frame of reference effect on academic self-concept formation. Contemporary Educational Psychology, 39(4), 326–341. https://doi.org/10.1016/j.cedpsych.2014.08.003
Marsh, H. W., Lüdtke, O., Trautwein, U., & Morin, A. J. S. Classical latent profile analysis of academic self-concept dimensions: Synergy of person- and variable-centered approaches to theoretical models of self-concept. Structural Equation Modeling, 16(2), 191–225. https://doi.org/10.1080/10705510902751010
Marsh, H. W., Lüdtke, O., Nagengast, B., Trautwein, U., Abduljabbar, A. S., Abdelfattah, F., & Jansen, M. (2015). Dimensional comparison theory: Paradoxical relations between self-beliefs and achievements in multiple domains. Learning and Instruction, 35, 16–32. https://doi.org/10.1016/j.learninstruc.2014.08.005
Marsh, H. W., & Martin, A. J. (2011). Academic self-concept and academic achievement: Relationships and causal ordering. British Journal of Educational Psychology, 81(1), 59–77. https://doi.org/10.1348/000709910X503501
Marsh, H. W., Parker, P. D., Guo, J., Basarkod, G., Niepel, C., & Van Zanden, B. (2021). Illusory gender-equality paradox, math self-concept, and frame-of-reference effects: New integrative explanations for multiple paradoxes. Journal of Personality and Social Psychology, 121(1), 168–183. https://doi.org/10.1037/pspp0000306
Marsh, H. W., Parker, P. D., & Pekrun, R. (2019). Three paradoxical effects on academic self-concept across countries, schools, and students. European Psychologist, 24(3), 231–242. https://doi.org/10.1027/1016-9040/a000332
Marsh, H. W., Pekrun, R., & Lüdtke, O. (2022). Directional ordering of self-concept, school grades, and standardized tests over five years: New tripartite models juxtaposing within- and between-person perspectives. Educational Psychology Review. Advance online publication. https://doi.org/10.1007/s10648-022-09662-9
Marsh, H. W., Pekrun, R., Murayama, K., Arens, A. K., Parker, P. D., Guo, J., & Dicke, T. (2018). An integrated model of academic self-concept development: Academic self-concept, grades, test scores, and tracking over 6 years. Developmental Psychology, 54(2), 263–280. https://doi.org/10.1037/dev0000393
Marsh, H. W., Seaton, M., Trautwein, U., Lüdtke, O., Hau, K.-T., O'Mara, A. J., & Craven, R. G. (2008). The big-fish–little-pond-effect stands up to critical scrutiny: Implications for theory, methodology, and future research. Educational Psychology Review, 20(3), 319–350. https://doi.org/10.1007/s10648-008-9075-6
Marsh, H. W., Trautwein, U., Lüdtke, O., Köller, O., & Baumert, J. (2005). Academic self-concept, interest, grades, and standardized test scores: Reciprocal effects models of causal ordering. Child Development, 76(2), 397–416. https://doi.org/10.1111/j.1467-8624.2005.00853.x
Marshall, S. L., Parker, P. D., Ciarrochi, J., & Heaven, P. C. L. (2014). Is self-esteem a cause or consequence of social support? A 4-year longitudinal study. Child Development, 85(3), 1275–1291. https://doi.org/10.1111/cdev.12176
Millsap, R. E. (2011). Statistical approaches to measurement invariance. Routledge.
Möller, J., & Marsh, H. W. (2013). Dimensional comparison theory. Psychological Review, 120(3), 544–560. https://doi.org/10.1037/a0032459
Möller, J., Müller-Kalthoff, H., Helm, F., Nagy, N., & Marsh, H. W. (2016). The generalized internal/external frame of reference model: An extension to dimensional comparison theory. Frontline Learning Research, 4(2), 1–11. https://doi.org/10.14786/flr.v4i2.169
Möller, J., Pohlmann, B., Köller, O., & Marsh, H. W. (2009). A meta-analytic path analysis of the internal/external frame of reference model of academic achievement and academic self-concept. Review of Educational Research, 79(3), 1129–1167. https://doi.org/10.3102/0034654309337522
Möller, J., Retelsdorf, J., Köller, O., & Marsh, H. W. (2011). The reciprocal internal/external frame of reference model: An integration of models of relations between academic achievement and self-concept. American Educational Research Journal, 48(6), 1315–1346. https://doi.org/10.3102/0002831211419649
Möller, J., Zimmermann, F., & Köller, O. (2014). The reciprocal internal/external frame of reference model using grades and test scores. The British Journal of Educational Psychology, 84(4), 591–611. https://doi.org/10.1111/bjep.12047
Möller, J., Zitzmann, S., Helm, F., Machts, N., & Wolff, F. (2020). A meta-analysis of relations between achievement and self-concept. Review of Educational Research, 90(3), 376–419. https://doi.org/10.3102/0034654320919354
Muthén, L. K., & Muthén, B. O. (1998–2019). Mplus user's guide (8th ed.). Muthén & Muthén.
Nagengast, B., Marsh, H. W., Scalas, L. F., Xu, M. K., Hau, K.-T., & Trautwein, U. (2011). Who took the "x" out of expectancy-value theory? A psychological mystery, a substantive-methodological synergy, and a cross-national generalization. Psychological Science, 22(8), 1058–1066. https://doi.org/10.1177/0956797611415540
Niepel, C., Brunner, M., & Preckel, F. (2014). The longitudinal interplay of students' academic self-concepts and achievements within and across domains: Replicating and extending the reciprocal internal/external frame of reference model. Journal of Educational Psychology, 106(4), 1170–1191. https://doi.org/10.1037/a0036307
Niepel, C., Stadler, M., & Greiff, S. (2019). Seeing is believing: Gender diversity in STEM is related to mathematics self-concept. Journal of Educational Psychology, 111(6), 1119–1130. https://doi.org/10.1037/edu0000340
Parker, P. D., Marsh, H. W., Lüdtke, O., & Trautwein, U. (2013). Differential school contextual effects for math and English: Integrating the big-fish-little-pond effect and the internal/external frame of reference. Learning and Instruction, 23, 78–89. https://doi.org/10.1016/j.learninstruc.2012.07.001
Pekrun, R., Lichtenfeld, S., Marsh, H. W., Murayama, K., & Goetz, T. (2017). Achievement emotions and academic performance: Longitudinal models of reciprocal effects. Child Development, 88(5), 1653–1670. https://doi.org/10.1111/cdev.12704
Pinxten, M., Wouters, S., Preckel, F., Niepel, C., De Fraine, B., & Verschueren, K. (2015). The formation of academic self-concept in elementary education: A unifying model for external and internal comparisons. Contemporary Educational Psychology, 41, 124–132. https://doi.org/10.1016/j.cedpsych.2014.12.003
Retelsdorf, J., Köller, O., & Möller, J. (2014). Reading achievement and reading self-concept–testing the reciprocal effects model. Learning and Instruction, 29, 21–30. https://doi.org/10.1016/j.learninstruc.2013.07.004
Roorda, D. L., Koomen, H. M. Y., Spilt, J. L., & Oort, F. J. (2011). The influence of affective teacher-student relationships on students' school engagement and achievement: A meta-analytic approach. Review of Educational Research, 81(4), 493–529. https://doi.org/10.3102/0034654311421793
Roth, B., Becker, N., Romeyke, S., Schäfer, S., Domnick, F., & Spinath, F. M. (2015). Intelligence and school grades: A meta-analysis. Intelligence, 53, 118–137. https://doi.org/10.1016/j.intell.2015.09.002
Saß, S., & Kampa, N. (2019). Self-concept profiles in lower secondary level—An explanation for gender differences in science course selection? Frontiers in Psychology, 10, 836. https://doi.org/10.3389/fpsyg.2019.00836
Schurtz, I., Pfost, M., Nagengast, B., & Artelt, C. (2014). Impact of social and dimensional comparisons on student's mathematical and English subject-interest at the beginning of secondary school. Learning and Instruction, 34, 32–41. https://doi.org/10.1016/j.learninstruc.2014.08.001
Sewasew, D., Schroeders, U., Schiefer, I. M., Weirich, S., & Artelt, C. (2018). Development of sex differences in math achievement, self-concept, and interest from grade 5 to 7. Contemporary Educational Psychology, 54, 55–65. https://doi.org/10.1016/j.cedpsych.2018.05.003
Spencer, M., Fuchs, L. S., Geary, D. C., & Fuchs, D. (2022). Connections between mathematics and reading development: Numerical cognition mediates relations between foundational competencies and later academic outcomes. Journal of Educational Psychology, 114(2), 273–288. https://doi.org/10.1037/edu0000670
Spinath, B., & Steinmayr, R. (2008). Longitudinal analysis of intrinsic motivation and competence beliefs: Is there a relation over time? Child Development, 79(5), 1555–1569. https://doi.org/10.1111/j.1467-8624.2008.01205.x
Stephens, N. M., Hamedani, M. G., & Destin, M. (2014). Closing the social-class achievement gap: A difference-education intervention improves first-generation students' academic performance and all students' college transition. Psychological Science, 25(4), 943–953. https://doi.org/10.1177/0956797613518349
Trautwein, U., Marsh, H. W., Nagengast, B., Lüdtke, O., Nagy, G., & Jonkmann, K. (2012). Probing for the multiplicative term in modern expectancy–value theory: A latent interaction modeling study. Journal of Educational Psychology, 104(3), 763–777. https://doi.org/10.1037/a0027470
Trautwein, U., & Möller, J. (2016). Self-concept: Determinants and consequences of academic self-concept in school contexts. In A. A. Lipnevich, F. Preckel, & R. D. Roberts (Eds.), Psychosocial skills and school systems in the 21st century: Theory, research, and practice (pp. 187–214). Springer. https://doi.org/10.1007/978-3-319-28606-8_8
Viljaranta, J., Lerkkanen, M.-K., Poikkeus, A.-M., Aunola, K., & Nurmi, J.-E. (2009). Cross-lagged relations between task motivation and performance in arithmetic and literacy in kindergarten. Learning and Instruction, 19(4), 335–344. https://doi.org/10.1016/j.learninstruc.2008.06.011
Wan, S., Lauermann, F., Bailey, D. H., & Eccles, J. S. (2021). When do students begin to think that one has to be either a “math person” or a “language person”? A meta-analytic review. Psychological Bulletin, 147(9), 867–889. https://doi.org/10.1037/bul0000340
Weidinger, A. F., Steinmayr, R., & Spinath, B. (2019). Ability self-concept formation in elementary school: No dimensional comparison effects across time. Developmental Psychology, 55(5), 1005–1018. https://doi.org/10.1037/dev0000695
Widaman, K. F., Ferrer, E., & Conger, R. D. (2010). Factorial invariance within longitudinal structural equation models: Measuring the same construct across time. Child Development Perspectives, 4(1), 10–18. https://doi.org/10.1111/j.1750-8606.2009.00110.x
Wigfield, A., & Eccles, J. S. (2000). Expectancy–value theory of achievement motivation. Contemporary Educational Psychology, 25(1), 68–81. https://doi.org/10.1006/ceps.1999.1015
Wigfield, A., Eccles, J. S., & Möller, J. (2020). How dimensional comparisons help to understand linkages between expectancies, values, performance, and choice. Educational Psychology Review, 32(3), 657–680. https://doi.org/10.1007/s10648-020-09524-2
Wolff, F., Helm, F., & Möller, J. (2019). Integrating the 2I/E model into dimensional comparison theory: Towards a comprehensive comparison theory of academic self-concept formation. Learning and Instruction, 62, 64–75. https://doi.org/10.1016/j.learninstruc.2019.05.007
Wolff, F., Nagy, G., Retelsdorf, J., Helm, F., Köller, O., & Möller, J. (2019). The 2I/E model: Integrating temporal comparisons into the internal/external frame of reference model. Journal of Educational Psychology, 111(7), 1131–1161. https://doi.org/10.1037/edu0000319
Wolff, F., Sticca, F., Niepel, C., Götz, T., Van Damme, J., & Möller, J. (2021). The reciprocal 2I/E model: An investigation of mutual relations between achievement and self-concept levels and changes in the math and verbal domain across three countries. Journal of Educational Psychology, 113(8), 1529–1549. https://doi.org/10.1037/edu0000632
Wolff, F., Zitzmann, S., & Möller, J. (2021). Moderators of dimensional comparison effects: A comprehensive replication study putting prior findings on five moderators to the test and going beyond. Journal of Educational Psychology, 113(3), 621–640. https://doi.org/10.1037/edu0000505
Wu, H., Guo, Y., Yang, Y., Zhao, L., & Guo, C. (2021). A meta-analysis of the longitudinal relationship between academic self-concept and academic achievement. Educational Psychology Review, 33(4), 1749–1778. https://doi.org/10.1007/s10648-021-09600-1
Xu, M. K., Marsh, H. W., Hau, K.-T., Ho, I. T., Morin, A. J. S., & Abduljabbar, A. S. (2013). The internal/external frame of reference of academic self-concept: Extension to a foreign language and the role of language of instruction. Journal of Educational Psychology, 105(2), 489–503. https://doi.org/10.1037/a0031333
