An extension to the internal/external frame of reference model to two verbal and numerical domains

Beside interindividual social comparisons, intraindividual dimensional comparisons in which students compare their achievements in one subject with their achievements in other subjects have an impact on their academic self-concepts. The internal/external frame of reference (I/E) model by Marsh (1986) assumes that dimensional comparisons lead to negative paths from achievement in one subject (e.g., math) to self-concept in another subject (e.g., English). In the present study, the I/E model was extended to two verbal domains (German as the native language and English as a foreign language) and two numerical domains (mathematics and physics). Grades and domain-specific academic self-concepts ofN=1440 students from 63 classes were assessed. In support of the extended I/E model, (a) math, physics, German, and English achievement were positively correlated, as were; (b) self-conceptswithin the verbal and numerical domains, while; (c) self-conceptsbetween the verbal and the numerical domains were almost uncorrelated; (d) positive paths were received from math, physics, German, and English achievement on the corresponding self-concepts; (e) negative paths were found from achievement in one domain to self-concept in the other; (f) positive paths were found from math (physics) achievement to physics (math) self-concept. Finally, (g), almost no effects were found within the verbal domain, i.e., from English (German) achievement to German (English) self-concept. Therefore, there is some support for the I/E model between domains; whereas effects from achievements on self-concepts within the domains were not negative.RésuméContrairement aux comparaisons sociales, les comparaisons dimensionnelles dans lesquelles les élèves comparent leurs résultats dans un sujet avec les résultats dans d’autres sujets ont un impact sur leur concepts de soi académiques.Le «Modèle du système de référence intérieur/extérieur (I/E)» de Marsh (1986) suppose que les comparaisons dimensionnelles causent des sentiers négatifs de la réussite dans un sujet (par exemple, des mathématiques) à la concept de soi dans un autre sujet (par exemple, anglais). Dans la présente recherche, le modèle d’I/E a été élargi à deux domaines verbaux (l’allemand — la langue maternelle — et l’anglais) et à deux domaines numériques (les mathématiques et la physique). Les notes et les concepts de soi académiques qui sont typiques pour un domaine deN=1440 élèves ont été évalués. Grâce au modèle d’I/E élargi, (a) les résultats dans des mathématiques, la physique, l’allemand et l’anglais ont été corrélés de façon aussi positive que les concepts de soi; (b) dans les domaines verbaux et numériques, tandis que les concepts de soi; (c) entre les domaines verbaux et numériques ont été presque non corrélés; (d) un sentier positif a été reçu concernant la réussite dans des mathématiques, le physique, l’allemand et l’anglais et leurs concepts de soi correspondants; (e) les sentiers négatifs ont été trouvés de la réussite dans un domaine au concept de soi dans l’autre; (f) les sentiers positifs ont été trouvés de la réussite dans des mathématiques (la physique) à concept de soi dans la physique (des mathématiques). Finalement, (g), presque aucuns effets n’ont été trouvés dans le domaine verbal, c ’est-à-dire, de réussite en anglais (en allemande) au concept de soi en allemand (en anglais).

[1]  Veronique G. Frucgt,et al.  Further Research on the Accuracy of Students' Self-Reported Grade Point Averages, Sat Scores, and Course Grades , 1994 .

[2]  R. Collins For Better or Worse: The Impact of Upward Social Comparison on Self-Evaluations , 1996 .

[3]  B. Muthén,et al.  Multilevel Covariance Structure Analysis , 1994 .

[4]  H W Marsh,et al.  An Extension of the Internal/External Frame of Reference Model: A Response to Bong (1998) , 2001, Multivariate behavioral research.

[5]  Bert A. Goldman,et al.  Comparison of Grade Point Averages and Sat Scores between Reporting and Nonreporting Men and Women and Freshmen and Sophomores , 1991 .

[6]  The belief in a negative interdependence of math and verbal abilities as determinant of academic self-concepts. , 2006, The British journal of educational psychology.

[7]  O. Köller,et al.  Die Genese akademischer Selbstkonzepte: Effekte dimensionaler und sozialer Vergleiche , 2004 .

[8]  Selbstvertrauen und schulische Leistungen , 1992 .

[9]  O. Köller,et al.  Eine längsschnittliche Überprüfung des Internal/External Frame of Reference , 1999 .

[10]  J. Shepperd Student Derogation of the Scholastic Aptitude Test: Biases in Perceptions and Presentations of College Board Scores , 1993 .

[11]  L. Tucker,et al.  A reliability coefficient for maximum likelihood factor analysis , 1973 .

[12]  J. Eccles,et al.  Gender-role socialization in the family: A longitudinal approach. , 2000 .

[13]  R. P. McDonald,et al.  Goodness-of-fit indexes in confirmatory factor analysis : The effect of sample size , 1988 .

[14]  O. Köller,et al.  Spontaneous and reactive attributions following academic achievement , 2000 .

[15]  Kit-Tai Hau,et al.  Extension of the Internal/External Frame of Reference Model of Self-Concept Formation: Importance of Native and Nonnative Languages for Chinese Students. , 2001 .

[16]  H. Marsh,et al.  Unification of theoretical models of academic self-concept/achievement relations: Reunification of east and west German school systems after the fall of the Berlin Wall☆ , 2004 .

[17]  J. Werbel,et al.  The Influence of Self-Monitoring on Inflation of Grade-Point Averages for Research and Selection Purposes1 , 1993 .

[18]  Alexander Seeshing Yeung,et al.  Longitudinal Structural Equation Models of Academic Self-Concept and Achievement: Gender Differences in the Development of Math and English Constructs , 1998 .

[19]  R. Tate,et al.  The Internal/External Frame of Reference in Adolescents′ Math and Verbal Self-Concepts: A Generalization Study , 1995 .

[20]  Mimi Bong,et al.  Tests of the internal/external frames of reference model with subject-specific academic self-efficacy and frame-specific academic self-concepts. , 1998 .

[21]  Richard J. Rankin,et al.  A Test of the Internal/External Frame of Reference Model at Different Levels of Math and Verbal Self-Perception , 1995 .

[22]  A. Yeung,et al.  Where is the hierarchy of academic self-concept? , 2000 .

[23]  H. Marsh Sex Differences in the Development of Verbal and Mathematics Constructs: The High School and Beyond Study , 1989 .

[24]  H. Marsh,et al.  Longitudinal multilevel models of the big-fish-little-pond effect on academic self-concept: counterbalancing contrast and reflected-glory effects in Hong Kong schools. , 2000, Journal of personality and social psychology.

[25]  Herbert W. Marsh,et al.  The big-fish-little-pond effect on academic self-concept , 1987 .

[26]  H. Goldstein,et al.  Multilevel Models in Educational and Social Research. , 1989 .

[27]  H. Marsh Verbal and Math Self-Concepts: An Internal/External Frame of Reference Model , 1986 .

[28]  H. Marsh Influences of internal and external frames of reference on the formation of math and English self-concepts. , 1990 .

[29]  Ulrich Trautwein,et al.  Integration of multidimensional self-concept and core personality constructs: construct validation and relations to well-being and achievement. , 2006, Journal of personality.

[30]  Herbert W. Marsh,et al.  A multidimensional, hierarchical model of self-concept: Theoretical and empirical justification , 1990 .

[31]  Jens Möller,et al.  Frame of Reference Effects Following the Announcement of Exam Results. , 2001, Contemporary educational psychology.

[32]  J. Plucker,et al.  Looking outside and inside: Self-Concept Development of Gifted Adolescents , 2001 .

[33]  K. Heller,et al.  Approach and Avoidance Motivation as Predictors of Achievement Behavior in Physics Instructions among Mildly and Highly Gifted Eighth-Grade Students , 2000 .

[34]  R. Low,et al.  Academic self-concept of talented students: Factor structure and applicability of the internal/external frame of reference model. , 2000 .

[35]  Mimi Bong,et al.  Between- and Within-Domain Relations of Academic Motivation Among Middle and High School Students: Self-Efficacy, Task-Value, and Achievement Goals , 2001 .

[36]  Bert A. Goldman,et al.  Accuracy of College Students' Perceptions of Their Sat Scores, High School and College Grade Point Averages Relative to Their Ability , 1990 .

[37]  M. Zimmerman,et al.  Discrepancy Between Self‐Report and School‐Record Grade Point Average: Correlates With Psychosocial Outcomes Among African American Adolescents1 , 2002 .

[38]  Stephen W. Raudenbush,et al.  A Multilevel, Multivariate Model for Studying School Climate With Estimation Via the EM Algorithm and Application to U.S. High-School Data , 1991 .

[39]  H. Goldstein Multilevel Statistical Models , 2006 .

[40]  Raymond L. Debus,et al.  Subject-specific components of academic self-concept and self-efficacy , 1991 .

[41]  Using Frame of Reference Theory to Understand the Self-Concept of Academically Able Students , 1995 .

[42]  B. A. Kirk,et al.  Accuracy of Self-Reported College Grade Averages and Characteristics of Non and Discrepant Reporters , 1969 .

[43]  Ita G. G. Kreft,et al.  Multilevel Analysis Methods , 1994 .

[44]  E. Skaalvik,et al.  Math, verbal, and general academic self-concept: the internal/external frame of reference model and gender differences in self-concept structure , 1990 .

[45]  O. Köller,et al.  Dimensional comparisons: An experimental approach to the internal/external frame of reference model. , 2001 .

[46]  Robert B. Cialdini,et al.  Two Indirect Tactics of Image Management: Basking and Blasting , 1980 .

[47]  Craig K. Enders,et al.  A Primer on Maximum Likelihood Algorithms Available for Use With Missing Data , 2001 .

[48]  A. D. Trice Reliability of Students' Self-Reports of Scholastic Aptitude Scores: Data from Juniors and Seniors , 1990 .

[49]  Richard E. Clark,et al.  Comparison between self-concept and self-efficacy in academic motivation research , 1999 .

[50]  Bengt Muthen,et al.  10. Latent Variable Modeling of Longitudinal and Multilevel Data , 1997 .

[51]  Anthony S. Bryk,et al.  Hierarchical Linear Models: Applications and Data Analysis Methods , 1992 .

[52]  J. Möller,et al.  Die Spezifität von Begabungsüberzeugungen als Determinante des verbalen und mathematischen Begabungsselbstkonzepts , 2002 .

[53]  E. Skaalvik,et al.  Math and Verbal Achievement and Self-Concepts , 1992 .

[54]  R. Bosker Boekbespreking van "A.S. Bryk & S.W. Raudenbusch - Hierarchical linear models: Applications and data analysis methods" : Sage Publications, Newbury Parki, London/New Delhi 1992 , 1995 .

[55]  E. Skaalvik,et al.  Relations Among Achievement, Self-Concept, and Motivation in Mathematics and Language Arts: A Longitudinal Study , 1999 .