Skip to main content

ETHNOS_APP

Home • Search • Journals • List 0

Predicting Long-Term Growth in Students' Mathematics Achievement

The Unique Contributions of Motivation and Cognitive Strategies

Bibliographic Data

ID23355331
AuthorsKou Murayama (0000-0003-2902-9600, Ludwig-Maximilians-Universität München, corresponding author), Reinhard Pekrun (0000-0003-4489-3827, Ludwig-Maximilians-Universität München), Stephanie Lichtenfeld (0000-0003-3485-9078, Ludwig-Maximilians-Universität München), Rudolf vom Hofe (Bielefeld University)
Year2013
Volume84
Issue4
Pages1475-1490
Publication date2013-07-01
Peer ReviewedYes
Open AccessYes
TypeARTICLE
VenueChild Development (JOURNAL)
Journal identifiersISSN: 0009-3920 • E-ISSN: 1467-8624
PublisherOxford University Press (OUP) (PUBLISHER)
DOI10.1111/cdev.12036
PMID23278807
OpenAlexW2014821670
LanguageEN
Citations received72
References cited66

This research examined how motivation (perceived control, intrinsic motivation, and extrinsic motivation), cognitive learning strategies (deep and surface strategies), and intelligence jointly predict long-term growth in students' mathematics achievement over 5 years. Using longitudinal data from six annual waves (Grades 5 through 10; Mage = 11.7 years at baseline; N = 3,530), latent growth curve modeling was employed to analyze growth in achievement. Results showed that the initial level of achievement was strongly related to intelligence, with motivation and cognitive strategies explaining additional variance. In contrast, intelligence had no relation with the growth of achievement over years, whereas motivation and learning strategies were predictors of growth. These findings highlight the importance of motivation and learning strategies in facilitating adolescents' development of mathematical competencies.

Academic achievement · Cognition · Cognitive development · Developmental psychology · Intrinsic motivation · Latent growth modeling · Term (time) · Variance (accounting) · Cognitive and developmental aspects of mathematical skills · Education, Achievement, and Giftedness · Psychology · School Choice and Performance · Social Psychology

  • Étude longitudinale des relations entre la perception de compétence, la motivation et le rendement scolaires

    Open Access•Rose Lebeau, Thérêse Bouffard•Canadian Journal of Education /…•2022

  • Happy fish in little ponds

    Reinhard Pekrun, Kou Murayama et al.•Journal of Personality and Social…•2019

  • Don’t aim too high for your kids

    Kou Murayama, Reinhard Pekrun et al.•Journal of Personality and Social…•2016

  • The unique importance of motivation and mindsets for students’ learning behavior and achievement

    Michiel Boncquet, Nele Flamant et al.•Journal of Educational Psychology•2024

  • The murky distinction between self-concept and self-efficacy

    Herbert W Marsh, Reinhard Pekrun et al.•Journal of Educational Psychology•2019

  • Boredom and academic achievement

    Reinhard Pekrun, Nathan C Hall et al.•Journal of Educational Psychology•2014

  • Test boredom

    Open Access•Thomas Goetz, Maik Bieleke et al.•Journal of Educational Psychology•2023

  • Language learning strategy use in context

    Nils Jaekel•IRAL - International Review of…•2020

  • Breaking the double-edged sword of effort/trying hard

    Herbert W Marsh, Reinhard Pekrun et al.•Developmental Psychology•2016

  • Social group membership increases STEM engagement among preschoolers

    Open Access•Alfred Master, Allison Master et al.•Developmental Psychology•2017

  • Fadeout in an early mathematics intervention

    Open Access•Drew H Bailey, Tutrang Nguyen et al.•Developmental Psychology•2016

  • An integrated model of academic self-concept development

    Herbert W Marsh, Reinhard Pekrun et al.•Developmental Psychology•2018

  • Reexamining developmental continuity and discontinuity in the 21st century

    Open Access•Isaac T Petersen•Developmental Psychology•2024

  • Executive control goes to school

    Open Access•Timothy D Nelson, Jennifer Mize Nelson et al.•Developmental Psychology•2017

  • Self-regulated and externally regulated learning in adolescence

    Lisa Bardach, Takuya Yanagida et al.•Developmental Psychology•2023

  • Beyond intelligence

    Open Access•Kazuhiro Ohtani, Tetsuya Hisasaka•Metacognition and Learning•2018

  • The relative importance of intelligence and motivation as predictors of school achievement

    Open Access•Katharina Kriegbaum, Nicolas Becker et al.•Educational Research Review•2018

  • Programming experience promotes higher STEM motivation among first-grade girls

    Open Access•Alfred Master, Allison Master et al.•Journal of Experimental Child…•2017

  • Achievement Emotions and Academic Performance

    Open Access•Reinhard Pekrun, Stephanie Lichtenfeld et al.•Child Development•2017

  • Relationship between motivation instability and type of motivation level in University learning based on self-determination theory

    Open Access•Takatoyo Umemoto, Tsutomu Inagaki•Psychological Reports•2022

  • A Preliminary Study of Increasing Self-Efficacy in Junior High School Students

    Open Access•Hiroshi Kudo, Kazuo Mori•Psychological Reports•2015

  • Task Engagement in Matrix Reasoning Performance

    Open Access•Rui Wang, Kastoori Kalaivanan et al.•Journal of Intelligence•2026

  • Differences in the collaborative knowledge construction process between high- and low-achievement groups in a collaborative concept mapping task

    Open Access•Si Zhang, Zihan Yin•Thinking Skills and Creativity•2026

  • Association of Mathematical Metacognition with High School Students’ Academic Achievement

    Open Access•Quan Zhang, Jing Wu et al.•International Journal of Science…•2026

  • Efficacy of a mathematical structuring competence intervention for talented students

    Open Access•Judith Havemann, Ann‐Kathrin Jaggy et al.•Learning and Instruction•2026

  • Do better working memory and higher intrinsic motivation predict greater math achievement? Disaggregating within-person and between-person effects in a birth cohort followed from age 8 to 16

    Open Access•Astrid Hoås Morin, Lars Wichstrøm et al.•Contemporary Educational Psychology•2026

  • Evaluating the No Zero Grading Technique (NZGT) as a Veritable Tool for Enhancing Students’ Interest and Achievement in Mathematics in an Ubuntulised Classroom

    Open Access•Terungwa James Age, Masilo France Machaba•E-Journal of Humanities Arts and…•2025

  • The Future of Embodied Design for Mathematics Teaching and Learning

    Open Access•David Abrahamson, Mitchell J Nathan et al.•Frontiers in Education•2020

  • Correlative Study between Personality Traits, Student Mental Skills and Educational Outcomes

    Open Access•Oussama Bouiri, Said Lotfi et al.•Education Sciences•2021

  • Controlling-Supportive Homework Help Partially Explains the Relation between Parents’ Math Anxiety and Children’s Math Achievement

    Open Access•Fraulein Retanal, Nichole B Johnston et al.•Education Sciences•2021

  • Pupils’ Strategies for Using Multilingualism in Geography Lessons

    Open Access•Nikolaus Repplinger, Nikolaus Paul Repplinger et al.•Education Sciences•2025

  • Training Learning Strategies to Promote Self-Regulation and Transfer

    Open Access•Mark A Mcdaniel, Gilles O Einstein•Perspectives on Psychological…•2020

  • Self-regulated learning strategies and student video engagement trajectory in a video-based asynchronous online course

    Open Access•Dongho Kim, Il-Hyun Jo et al.•Asia Pacific Education Review•2021

  • High level cognitive strategies scale for middle school students

    Open Access•Jianzhong Xu•Current Psychology•2022

  • What key contextual factors contribute to students’ reading literacy among top-performing countries and economies? Statistical and machine learning analyses

    Open Access•Yujia Bu, Fu Chen•International Journal of…•2023

  • Gender and Psychological Variables as Key Factors in Mathematics Learning

    Open Access•Cecilia Acevedo, Ana María Espinoza et al.•International Journal of…•2020

  • Mathematics motivation in primary education

    Open Access•Jelena Radišić, Aleksandar Baucal•European Journal of Psychology of…•2024

  • Gender differences in effects of father/mother parenting on mathematics achievement growth

    Open Access•Mei-Shiu Chiu•European Journal of Psychology of…•2021

  • Do social-emotional competencies shape the effects of students’ learning approaches on academic performance? Evidence from middle school education / ¿Las competencias socioemocionales influyen en los efectos de los enfoques de aprendizaje de los estudiantes en el rendimiento académico? Evidencia de la educación secundaria

    Open Access•Ioana Alexandra Negru, Laurenţiu P Maricuțoiu et al.•Journal for the Study of…•2026

  • Preliminary Evaluation of the Psychometric Properties of the Italian Version of the Mathematics Motivation Questionnaire

    Open Access•Linda Messineo•European Journal of Education•2026

  • Thalamus is a common locus of reading, arithmetic, and IQ

    Open Access•Maki S Koyama, Maki Koyama et al.•Brain and Language•2020

  • Achievement goal orientations, learning strategies, and mathematics achievement

    Open Access•Meng Guo, Frederick K S Leung•Psychology in the Schools•2021

  • Exploring gender‐based difference towards academic enablers scales among secondary school students of Pakistan

    Open Access•Nisar Abid, Rizwan Ali et al.•Psychology in the Schools•2021

  • Unpacking skill growth in higher education

    Open Access•Stefan Büchele, C H K Marten et al.•Higher Education•2025

  • Developmental trajectories of achievement emotions in mathematics during adolescence

    Open Access•Michiko Sakaki, Kou Murayama et al.•Child Development•2024

  • Math achievement

    Open Access•Krystal L Williams, Brian A Burt et al.•Journal for Multicultural Education•2016

  • Academic success of adolescents in poverty

    Open Access•Joaquina Palomar-Lever, Amparo Victorio-Estrada•Social Psychology of Education•2017

  • Pedagogical components in the inclusion of students with mathematical learning difficulties in mathematics classes

    Fahad Alnaim, Fahad Ahmed Alnaim et al.•International Journal of…•2023

  • A questionnaire on mathematics learning strategies (Ceama)

    Javier Gasco, Javier Gasco-Txabarri et al.•Culture and Education•2017

  • Using self report surveys to measure PreK children’s academic orientations

    Open Access•Erik Ruzek, Jamie Jirout et al.•Early Childhood Research Quarterly•2019

  • A Model of Threatening Academic Environments Predicts Women STEM Majors’ Self-Esteem and Engagement in STEM

    Open Access•Bettina J Casad, Zachary W Petzel et al.•Sex Roles•2018

  • Want to Improve Math Scores? An Empirical Assessment of Recent Policy Interventions in Canada

    Marc-André Pigeon, Michael Atkinson et al.•Canadian Public Policy•2020

  • Integration of a social robot and gamification in adult learning and effects on motivation, engagement and performance

    Open Access•Anna Riedmann, Philipp Schäper et al.•AI & Society•2024

  • Kazakh, Russian, and Uyghur child language literacy

    Open Access•Matthew Courtney, Matthew Gordon Ray Courtney et al.•Studies In Educational Evaluation•2022

  • Teachers’ instructional responses to the Covid-19 pandemic

    Open Access•Courtney Paige Vahle, Zezito De Araújo et al.•Teaching and Teacher Education•2023

  • Satisfying students' psychological needs in the classroom

    Open Access•Pedro Javier Conesa, Jon Andoni Duñabeitia et al.•Teaching and Teacher Education•2023

  • Studying a moving target in development

    Open Access•Isaac T Petersen, Daniel Ewon Choe et al.•Developmental Review•2020

  • Navigating success in higher education

    Stefan Büchele•Assessment & Evaluation in Higher…•2023

  • Social Acceptance of Vocational Education in China Prompts Students’ Learning Quality

    Open Access•Xia Li, Huilin Deng et al.•SAGE Open•2025

  • Does Self-control Outdo IQ in Predicting Academic Performance

    Open Access•Alexander T Vazsonyi, Magda Javakhishvili et al.•Journal of Youth and Adolescence•2022

  • Predictors of Academic Performance Trajectories Across Early and Middle Adolescence

    Open Access•Ziyu Wang, Shuai Wang et al.•Journal of Youth and Adolescence•2025

  • Family Socioeconomic Status and Adolescents’ Academic Achievement

    Open Access•Feng Zhang, Ying Jiang et al.•Journal of Youth and Adolescence•2020

  • What role do comprehension‐oriented learning strategies have in solving math calculation and word problems at the end of middle school

    Open Access•Eve Kikas, Kaja Mädamürk et al.•British Journal of Educational…•2020

  • A weekly‐diary study of students' schoolwork motivation and parental support

    Open Access•Yao Wu, Peter Hilpert et al.•British Journal of Educational…•2022

  • Academic motivation–achievement cycle and the behavioural pathways

    Open Access•TuongVan Vu, Martijn Meeter et al.•British Journal of Educational…•2025

  • Pathologies of Studying Public Opinion, Political Communication, and Democratic Responsiveness

    James N Druckman•Political Communication•2014

  • No Matthew effects and stable SES gaps in math and language achievement growth throughout schooling

    Open Access•Richard Nennstiel•European Sociological Review•2023

  • The essential role of peer relationships in students' motivation during adolescence

    Open Access•Fabian Schimmelpfennig•British Journal of Educational…•2025

  • Self-concept mediates the relation between achievement and emotions in mathematics

    Open Access•Jojanneke P J Van Der Beek, Sanne H G Van Der Ven et al.•British Journal of Educational…•2017

  • Growth trajectories of mathematics achievement

    Open Access•Magdalena M C Mok, Dennis M Mcinerney et al.•British Journal of Educational…•2015

  • Boredom due to being over- or under-challenged in mathematics

    Open Access•Manuel M Schwartze, Anne C Frenzel et al.•British Journal of Educational…•2024

  • The Fundamental Difference Hypothesis

    Open Access•Ali H Al‐hoorie, Phil Hiver•SAGE Open•2020

  • Understanding Student Learning (Routledge Revivals)

    Noel Entwistle, Paul Ramsden•Understanding Student Learning…•2015

  • Academic intrinsic motivation in young elementary school children.

    Adele Eskeles Gottfried•Journal of Educational Psychology•1990

  • Changes in Children’s Self-Competence and Values

    Open Access•Janis E Jacobs, Stephanie T Lanza et al.•Child Development•2002

  • Latent Motivational Change in an Academic Setting

    Nancy Otis, Frederick M E Grouzet et al.•Journal of Educational Psychology•2005

  • Reciprocal Effects of Self-Concept and Performance From a Multidimensional Perspective

    Open Access•Herbert W Marsh, Rhonda G Craven et al.•Perspectives on Psychological…•2006

  • Academic control and action control in the achievement of college students

    Raymond P Perry, Steven Hladkyj et al.•Journal of Educational Psychology•2001

  • Academic Self-Concept, Interest, Grades, and Standardized Test Scores

    Open Access•Herbert W Marsh, Ulrich Trautwein et al.•Child Development•2005

  • What it takes to do well in school and whether I've got it

    Ellen A Skinner, James G Wellborn et al.•Journal of Educational Psychology•1990

  • Self-Concept

    Herbert W Marsh, Richard J Shavelson et al.•Educational Psychologist•1985

  • Causal ordering of academic self-concept and academic achievement

    Herbert W Marsh•Journal of Educational Psychology•1990

  • Nonlinear Growth Curves in Developmental Research

    Open Access•Kevin J Grimm, Nilam Ram et al.•Child Development•2011

  • The Relation Between Self-Beliefs and Academic Achievement

    Jeffrey C Valentine, David L Dubois et al.•Educational Psychologist•2004

  • Evaluating model fit for growth curve models

    Wei Wu, Stephen G West et al.•Psychological Methods•2009

  • The importance of motivation as a predictor of school achievement

    Open Access•Ricarda Steinmayr, Birgit Spinath•Learning and Individual Differences•2009

  • Predictors of math anxiety and its influence on young adolescents' course enrollment intentions and performance in mathematics.

    Judith L Meece, Allan Wigfield et al.•Journal of Educational Psychology•1990

  • Students' goal orientations and cognitive engagement in classroom activities.

    Judith L Meece, Phyllis C Blumenfeld et al.•Journal of Educational Psychology•1988

  • Latent difference score structural models for linear dynamic analyses with incomplete longitudinal data.

    John J Mcardle, Fumiaki Hamagami•New methods for the analysis of…•2001

  • Generalized expectancies for internal versus external control of reinforcement.

    Julian B Rotter•The Psychological Monographs•1966

  • Academic Emotions in Students' Self-Regulated Learning and Achievement

    Reinhard Pekrun, Thomas Goetz et al.•Educational Psychologist•2002

  • Motivational Beliefs, Values, and Goals

    Jacquelynne S Eccles, Allan Wigfield•Annual Review of Psychology•2002

  • The Control-Value Theory of Achievement Emotions

    Open Access•Reinhard Pekrun•Educational Psychology Review•2006

  • Intrinsic Motivation and Self-Determination in Human Behavior

    Open Access•Edward L Deci, Richard M Ryan•Intrinsic Motivation and…•1985

  • What do people think they're doing? Action identification and human behavior

    Robin R Vallacher, Daniel M Wegner•Psychological Review•1987

  • The development of achievement task values

    Open Access•Allan Wigfield, Jacquelynne S Eccles•Developmental Review•1992

  • A Primer on the Use of Modern Missing-Data Methods in Psychosomatic Medicine Research

    Craig K Enders•Psychosomatic Medicine•2006

  • Mathew Effects in Reading

    Janwillem Bast, Pieter Reitsma et al.•Multivariate Behavioral Research•1997

  • Self-efficacy

    Albert Bandura•Psychological Review•1977

  • Development of Mathematics Interest in Adolescence

    Open Access•Anne C Frenzel, Thomas Goetz et al.•Journal of Research on Adolescence•2010

  • The impact of kindergarten learning-related skills on academic trajectories at the end of elementary school

    Open Access•Megan M Mcclelland, Alan C Acock et al.•Early Childhood Research Quarterly•2006

  • Pay differentials as a function of rater's sex, money ethic, and job incumbent's sex

    Open Access•Thomas Li‐ping Tang, Thomas Li-Ping Tang•Journal of Economic Psychology•1996

  • Matthew Effects in Reading

    Open Access•Keith E Stanovich•Reading Research Quarterly•1986

  • Anchoring, efficacy, and action

    Daniel Cervone, Philip K Peake•Journal of Personality and Social…•1986

  • Genetic and environmental influences on academic achievement trajectories during adolescence

    Wendy Johnson, Matt Mcgue et al.•Developmental Psychology•2006

  • Children's competence and value beliefs from childhood through adolescence

    Jennifer A Fredricks, Jacquelynne S Eccles•Developmental Psychology•2002

  • Academic growth curve trajectories from 1st grade to 12th grade

    Leslie Morrison Gutman, Arnold J Sameroff et al.•Developmental Psychology•2003

  • The relation of childhood personality types to adolescent behavior and development

    Daniel Hart, Volker Hofmann et al.•Developmental Psychology•1997

  • Intelligence

    Ulric Neisser, Gwyneth M Boodoo et al.•American Psychologist•1996

  • Assessing Measurement Invariance in Cross‐National Consumer Research

    Jan-Benedict E M Steenkamp, Jan‐Benedict E M Steenkamp et al.•Journal of Consumer Research•1998

  • Intergenerational Class Mobility in Three Western European Societies

    Robert S Erikson, Robert Erikson et al.•British Journal of Sociology•1979

  • Autonomy in children's learning

    Wendy S Grolnick, Richard M Ryan•Journal of Personality and Social…•1987

  • Goals

    Elaine S Elliott, Elaine Elliott et al.•Journal of Personality and Social…•1988

  • Perceived locus of causality and internalization

    Richard M Ryan, James P Connell•Journal of Personality and Social…•1989

  • Examining the Motivational Impact of Intrinsic Versus Extrinsic Goal Framing and Autonomy-Supportive Versus Internally Controlling Communication Style on Early Adolescents' Academic Achievement

    Open Access•Maarten Vansteenkiste, Joke Simons et al.•Child Development•2005

  • Do Psychosocial and Study Skill Factors Predict College Outcomes? A Meta-Analysis

    Steven B Robbins, Kristy Lauver et al.•Psychological Bulletin•2004

Unique citing works72
Citations per year6
Citation span2014 - 2026 (13)
Citation velocitycurrent
Highly citedNo
Citation typesNeutral: 57

Tools

Open DOISci-HubOpen Access
Ethnos_APP • Open Source Project • MIT License • Frontend v2.0.0 • Privacy and Cookies • API Documentation: api.ethnos.app/docs • API Source Code: GitHub • DOI: 10.5281/zenodo.17049435 • Frontend Source Code: GitHub • DOI: 10.5281/zenodo.17050053 • cruz.rio.br • Expectantes Misericordiae