Math Self-Concept, Grades, and Achievement Test Scores: Long-Term Reciprocal Effects Across Five Waves and Three Achievement Tracks

This study examines reciprocal effects between self-concept and achievement by considering a long time span covering grades 5 through 9. Extending previous research on the reciprocal effects model (REM), this study tests (1) the assumption of developmental equilibrium as time-invariant cross-lagged paths from self-concept to achievement and from achievement to self-concept, (2) the generalizability of reciprocal relations when using school grades and standardized achievement test scores as achievement indicators, and (3) the invariance of findings across secondary school achievement tracks. Math self-concept, school grades in math, and math achievement test scores were measured once each school year with a representative sample of 3,425 German students. Students’ gender, IQ, and socioeconomic status (SES) were controlled in all analyses. The findings supported the assumption of developmental equilibrium for reciprocal effects between self-concept and achievement across time. The pattern of results was found to be invariant across students attending different achievement tracks and could be replicated when using school grades and achievement test scores in separate and in combined models. The findings of this study thus underscore the generalizability and robustness of the REM.

[1]  Reinhard Pekrun,et al.  Achievement Emotions and Academic Performance: Longitudinal Models of Reciprocal Effects. , 2017, Child development.

[2]  R. Pekrun,et al.  Long-Term Positive Effects of Repeating a Year in School: Six-Year Longitudinal Study of Self-Beliefs, Anxiety, Social Relations, School Grades, and Test Scores , 2017 .

[3]  Adel S. Abduljabbar,et al.  Temporal ordering effects of adolescent depression, relational aggression, and victimization over six waves: Fully latent reciprocal effects models. , 2016, Developmental psychology.

[4]  R. Pekrun,et al.  Don't aim too high for your kids: Parental overaspiration undermines students' learning in mathematics. , 2016, Journal of personality and social psychology.

[5]  Marcus Hasselhorn,et al.  Math self-concept in preschool children: Structure, achievement relations, and generalizability across gender , 2016 .

[6]  Sabrina Eberhart,et al.  Applied Missing Data Analysis , 2016 .

[7]  R. Pekrun,et al.  Breaking the double-edged sword of effort/trying hard: Developmental equilibrium and longitudinal relations among effort, achievement, and academic self-concept. , 2016, Developmental psychology.

[8]  Ellen L Hamaker,et al.  A critique of the cross-lagged panel model. , 2015, Psychological methods.

[9]  K. Chung Socioeconomic status and academic achievement , 2015 .

[10]  O. Köller,et al.  The reciprocal internal/external frame of reference model using grades and test scores. , 2014, The British journal of educational psychology.

[11]  Christoph Niepel,et al.  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. , 2014 .

[12]  Philip D. Parker,et al.  Dimensional comparison theory: An extension of the internal/external frame of reference effect on academic self-concept formation [accepted manuscript] , 2014 .

[13]  Joseph Ciarrochi,et al.  Is self-esteem a cause or consequence of social support? A 4-year longitudinal study. , 2014, Child development.

[14]  O. Köller,et al.  Reading achievement and reading self-concept – Testing the reciprocal effects model , 2014 .

[15]  H. Marsh,et al.  The reciprocal relations between self-concept, motivation and achievement: juxtaposing academic self-concept and achievement goal orientations for mathematics success , 2014 .

[16]  O. Köller,et al.  Reciprocal effects between adolescent externalizing problems and measures of achievement. , 2013 .

[17]  R. Pekrun,et al.  Predicting long-term growth in students' mathematics achievement: the unique contributions of motivation and cognitive strategies. , 2013, Child development.

[18]  Faisal Abdelfattah,et al.  Factorial, Convergent, and Discriminant Validity of TIMSS Math and Science Motivation Measures: A Comparison of Arab and Anglo-Saxon Countries , 2013 .

[19]  Yu-Chen Yeh,et al.  The relationship between academic self-concept and achievement: A multicohort–multioccasion study , 2013 .

[20]  Jichuan Wang,et al.  Structural Equation Modeling: Applications Using Mplus , 2012 .

[21]  Michelle M. LaMar,et al.  Using and developing measurement instruments in science education: A Rasch modeling approach , 2012 .

[22]  Xueliang Li,et al.  On a Relation Between , 2012 .

[23]  T. Goetz,et al.  Beyond quantitative decline: conceptual shifts in adolescents' development of interest in mathematics. , 2012, Developmental psychology.

[24]  H. Marsh,et al.  The Reciprocal Internal/External Frame of Reference Model , 2011 .

[25]  A. Yeung,et al.  The twofold multidimensionality of academic self-concept : domain specificity and separation between competence and affect components , 2011 .

[26]  Chiungjung Huang,et al.  Self-concept and academic achievement: a meta-analysis of longitudinal relations. , 2011, Journal of school psychology.

[27]  M. Matteucci,et al.  Gender differences in performance in mathematics at the end of lower secondary school in Italy , 2011 .

[28]  M. Linn,et al.  New trends in gender and mathematics performance: a meta-analysis. , 2010, Psychological bulletin.

[29]  Cora J. M. Maas,et al.  The effect of estimation method and sample size in multilevel structural equation modeling , 2010 .

[30]  E. Ferrer,et al.  Factorial Invariance within Longitudinal Structural Equation Models: Measuring the Same Construct across Time. , 2010, Child development perspectives.

[31]  Tenko Raykov,et al.  Evaluation of Scale Reliability for Unidimensional Measures Using Latent Variable Modeling , 2009 .

[32]  H. Marsh,et al.  A Meta-Analytic Path Analysis of the Internal/External Frame of Reference Model of Academic Achievement and Academic Self-Concept , 2009 .

[33]  Richard M Lerner,et al.  Use of missing data methods in longitudinal studies: the persistence of bad practices in developmental psychology. , 2009, Developmental psychology.

[34]  Adrian Furnham,et al.  Personality traits and intelligence predict academic school grades , 2009 .

[35]  Rosemary E. Sutton,et al.  Emotional transmission in the classroom : exploring the relationship between teacher and student enjoyment , 2009 .

[36]  J. Graham,et al.  Missing data analysis: making it work in the real world. , 2009, Annual review of psychology.

[37]  A. Ryan,et al.  Does stereotype threat affect test performance of minorities and women? A meta-analysis of experimental evidence. , 2008, The Journal of applied psychology.

[38]  S. Krauss,et al.  Gender differences in mathematics: Does the story need to be rewritten? , 2008 .

[39]  A. Munter,et al.  Mathematics Participation and Mathematics Achievement Across Secondary School: The Role of Gender , 2008 .

[40]  R. Plomin,et al.  The nature and nurture of intelligence and motivation in the origins of sex differences in elementary school achievement , 2008 .

[41]  Alison O'Mara,et al.  Reciprocal Effects Between Academic Self-Concept, Self-Esteem, Achievement, and Attainment Over Seven Adolescent Years: Unidimensional and Multidimensional Perspectives of Self-Concept , 2008, Personality & social psychology bulletin.

[42]  H. Marsh,et al.  Self-concept is as multidisciplinary as it is multidimensional : a review of theory, measurement, and practice in self-concept research , 2008 .

[43]  H. Marsh,et al.  Longitudinal study of preadolescent sport self-concept and performance: reciprocal effects and causal ordering. , 2007, Child development.

[44]  F. Chen Sensitivity of Goodness of Fit Indexes to Lack of Measurement Invariance , 2007 .

[45]  Patrick Onghena,et al.  A Longitudinal Analysis of Gender Differences in Academic Self-Concept and Language Achievement: A Multivariate Multilevel Latent Growth Approach. , 2007 .

[46]  Reinhard Pekrun,et al.  Development of mathematical competencies in adolescence : the PALMA longitudinal study , 2007 .

[47]  Pierre Foy,et al.  PIRLS 2006 International Report IEA's Progress in International Reading Literacy Study in Primary Schools in 40 Countries , 2007 .

[48]  R. Pekrun The Control-Value Theory of Achievement Emotions: Assumptions, Corollaries, and Implications for Educational Research and Practice , 2006 .

[49]  Raymond L. Debus,et al.  Do Self-Concept Interventions Make a Difference? A Synergistic Blend of Construct Validation and Meta-Analysis , 2006 .

[50]  H. Marsh,et al.  Reciprocal Effects of Self-Concept and Performance From a Multidimensional Perspective: Beyond Seductive Pleasure and Unidimensional Perspectives , 2006, Perspectives on psychological science : a journal of the Association for Psychological Science.

[51]  Ulrich Trautwein,et al.  Predicting Homework Effort: Support for a Domain-Specific, Multilevel Homework Model. , 2006 .

[52]  Petra Lietz,et al.  A META-ANALYSIS OF GENDER DIFFERENCES IN READING ACHIEVEMENT AT THE SECONDARY SCHOOL LEVEL , 2006 .

[53]  U. Trautwein,et al.  Leistungszuwachs in Mathematik : Evidenz für einen Schereneffekt im mehrgliedrigen Schulsystem? , 2006 .

[54]  Alexander Jordan,et al.  Der Mathematikunterricht der PISA-Schülerinnen und -Schüler , 2005 .

[55]  Selcuk R. Sirin Socioeconomic Status and Academic Achievement: A Meta-Analytic Review of Research , 2005 .

[56]  Ulrich Trautwein,et al.  Academic self-concept, interest, grades, and standardized test scores: reciprocal effects models of causal ordering. , 2005, Child development.

[57]  Herbert W. Marsh,et al.  Why multicollinearity matters: A reexamination of relations between self-efficacy, self-concept, and achievement , 2004 .

[58]  H. Watt Development of adolescents' self-perceptions, values, and task perceptions according to gender and domain in 7th- through 11th-grade Australian students. , 2004, Child development.

[59]  H. Marsh,et al.  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 , 2004 .

[60]  H. Cooper,et al.  The Relation Between Self-Beliefs and Academic Achievement: A Meta-Analytic Review , 2004 .

[61]  E. Skaalvik,et al.  Gender Differences in Math and Verbal Self-Concept, Performance Expectations, and Motivation , 2004 .

[62]  Nicole A. Lazar,et al.  Statistical Analysis With Missing Data , 2003, Technometrics.

[63]  H. Shimizu,et al.  What Is Tracking? Cultural Expectations in the United States, Germany, and Japan , 2003 .

[64]  Michel Boivin,et al.  Academic Self-Concept and Academic Achievement: Developmental Perspectives on Their Causal Ordering. , 2003 .

[65]  J. Baumert,et al.  Disparitäten der Bildungsbeteiligung und des Kompetenzerwerbs , 2003 .

[66]  Eckhard Klieme,et al.  Unterrichtsqualität aus Schülerperspektive: Kulturspezifische Profile, regionale Unterschiede und Zusammenhänge mit Effekten von Unterricht , 2003 .

[67]  H. Marsh,et al.  Cracking the self-concept enhancement conundrum : a call and blueprint for the next generation of self-concept enhancement research , 2003 .

[68]  H. Marsh,et al.  Multilevel Causal Ordering of Academic Self-Concept and Achievement: Influence of Language of Instruction (English Compared With Chinese) for Hong Kong Students , 2002 .

[69]  Jennifer A. Fredricks,et al.  Children's competence and value beliefs from childhood through adolescence: growth trajectories in two male-sex-typed domains. , 2002, Developmental psychology.

[70]  Gordon W. Cheung,et al.  Evaluating Goodness-of-Fit Indexes for Testing Measurement Invariance , 2002 .

[71]  Steve Myran,et al.  Elementary Teachers' Classroom Assessment and Grading Practices , 2002 .

[72]  Stephanie T. Lanza,et al.  Changes in children's self-competence and values: gender and domain differences across grades one through twelve. , 2002, Child development.

[73]  R. Bradley,et al.  Socioeconomic status and child development. , 2002, Annual review of psychology.

[74]  Rudolf vom Hofe,et al.  Projekt zur Analyse der Leistungsentwicklung in Mathematik (PALMA): Konstruktion des Regensburger Mathematikleistungstests für 5. bis 10. Klassen , 2002 .

[75]  G. Guo,et al.  Gender Differences in Mathematical Trajectories , 2001 .

[76]  O. Köller,et al.  Leistungsgruppierungen in der Sekundarstufe I , 2001 .

[77]  Kenneth A. Bollen,et al.  The best of both worlds: Combining autoregressive and latent curve models. , 2001 .

[78]  Barbara M. Byrne,et al.  Causal ordering of academic self-concept and achievement: Reanalysis of a pioneering study and... , 1999 .

[79]  P. Bentler,et al.  Cutoff criteria for fit indexes in covariance structure analysis : Conventional criteria versus new alternatives , 1999 .

[80]  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 .

[81]  L. Hedges,et al.  Trends in Gender Differences in Academic Achievement from 1960 to 1994: An Analysis of Differences in Mean, Variance, and Extreme Scores , 1998 .

[82]  J. Chapman,et al.  A longitudinal study of beginning reading achievement and reading self-concept. , 1997, The British journal of educational psychology.

[83]  C. Steele A threat in the air. How stereotypes shape intellectual identity and performance. , 1997, The American psychologist.

[84]  H. Marsh,et al.  Assessing Goodness of Fit: Is Parsimony Always Desirable? , 1996 .

[85]  M. Aken,et al.  The causal ordering of academic achievement and self-concept of ability during elementary school: A longitudinal study , 1995 .

[86]  A. Satorra,et al.  Complex Sample Data in Structural Equation Modeling , 1995 .

[87]  Susan M. Brookhart,et al.  Teachers' Grading Practices: Meaning and Values. , 1993 .

[88]  H. Marsh Academic self-concept: Theory, measurement, and research. , 1993 .

[89]  M. Browne,et al.  Alternative Ways of Assessing Model Fit , 1992 .

[90]  Allan Wigfield,et al.  Risk Taking: Theoretical, Empirical, and Educational Considerations , 1991 .

[91]  H. Marsh Causal ordering of academic self-concept and academic achievement: A multiwave, longitudinal panel analysis. , 1990 .

[92]  E. Fennema,et al.  Gender differences in mathematics performance: a meta-analysis. , 1990, Psychological bulletin.

[93]  D. Papineau,et al.  Nature and nurture. , 1982, Journal of medical ethics.

[94]  J. Goldthorpe,et al.  Intergenerational Class Mobility in Three Western European Societies: England, France and Sweden , 1979 .

[95]  D. A. Kenny,et al.  Self-concept of ability and perceived evaluation of others: cause or effect of academic achievement? , 1977, Journal of educational psychology.

[96]  R. Shavelson,et al.  Self-Concept: Validation of Construct Interpretations , 1976 .

[97]  D. A. Kenny,et al.  Cross-lagged panel correlation: A test for spuriousness. , 1975 .

[98]  J. Vrijens,et al.  [On the development of adolescents]. , 1969, Archives belges de medecine sociale, hygiene, medecine du travail et medecine legale. Belgisch archief van sociale geneeskunde, hygiene, arbeidsgeneeskunde en gerechtelijke geneeskunde.

[99]  G. Goude,et al.  On fundamental measurement in psychology , 1962 .