Abstract
Given the diversity of theoretical approaches to mathematics learning, this study aims to characterize the predominant theoretical perspectives on the understanding of mathematical concepts within the scientific literature, as well as to identify the collaboration networks and intellectual structure of research in this field. A bibliometric and social network analysis was conducted on 4,266 records from the Scopus database (1980–2024). The findings reveal a dual structure: while the discipline’s intellectual base remains anchored in educational psychology theories (Pekrun, Eccles), the current research front has evolved toward specialized didactic frameworks such as the Onto-Semiotic Approach and Embodied Cognition. The results indicate that the discipline is undergoing a phase of professionalization and theoretical specialization, although high fragmentation and a critical geographic gap persist, excluding emerging regions like Latin America from central collaboration nodes. It is concluded that an epistemological transition is occurring, moving from classical socio-constructivism toward neuro-cognitive and multimodal approaches. These findings underscore the need to integrate fragmented theoretical frameworks and promote transregional collaboration policies to diversify global theoretical production.
Keywords
License
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Article Type: Review Article
INT ELECT J MATH ED, Volume 21, Issue 3, August 2026, Article No: em0892
https://doi.org/10.29333/iejme/19008
Publication date: 24 Jul 2026
Article Views: 12
Article Downloads: 7
Open Access References How to cite this articleReferences
- Abdu, R., Tancredi, S., Abrahamson, D., & Balasubramaniam, R. (2025). Demonstrating mathematics learning as the emergence of eye-hand dynamic equilibrium. Educational Studies in Mathematics, 118, 505-528. https://doi.org/10.1007/s10649-023-10279-0
- Abdu, R., van Helden, G., Alberto, R., & Bakker, A. (2021). Multimodal dialogue in small-group mathematics learning. Learning, Culture and Social Interaction, 29, Article 100491. https://doi.org/10.1016/j.lcsi.2021.100491
- Abrahamson, D. (2014). Building educational activities for understanding: An elaboration on the embodied-design framework and its epistemic grounds. International Journal of Child-Computer Interaction, 2(1), 1-16. https://doi.org/10.1016/j.ijcci.2014.07.002
- Abrahamson, D., & Abdu, R. (2021). Towards an ecological-dynamics design framework for embodied-interaction conceptual learning: The case of dynamic mathematics environments. Educational Technology Research and Development, 69, 1889-1923. https://doi.org/10.1007/s11423-020-09805-1
- Abrahamson, D., & Bakker, A. (2016). Making sense of movement in embodied design for mathematics learning. Cognitive Research: Principles and Implications, 1(33), Article 33. https://doi.org/10.1186/s41235-016-0034-3
- Abrahamson, D., & Sánchez-García, R. (2016). Learning is moving in new ways: The ecological dynamics of mathematics education. Journal of the Learning Sciences, 25(2), 203-239. https://doi.org/10.1080/10508406.2016.1143370
- Abrahamson, D., & Trninic, D. (2015). Bringing forth mathematical concepts: Signifying sensorimotor enactment in fields of promoted action. ZDM Mathematics Education, 47(2), 295-306. https://doi.org/10.1007/s11858-014-0620-0
- Abrahamson, D., Nathan, M. J., Williams-Pierce, C., Walkington, C., Ottmar, E. R., Soto, H., & Alibali, M. W. (2020). The future of embodied design for mathematics teaching and learning. Frontiers in Education, 5. https://doi.org/10.3389/feduc.2020.00147
- Abrahamson, D., Shayan, S., Bakker, A., & Van Der Schaaf, M. (2016). Eye-tracking Piaget: Capturing the emergence of attentional anchors in the coordination of proportional motor action. Human Development, 58(4-5), 218-224. https://doi.org/10.1159/000443153
- Aria, M., & Cuccurullo, C. (2017). Bibliometrix: An R-tool for comprehensive science mapping analysis. Journal of Informetrics, 11(4), 959-975. https://doi.org/10.1016/j.joi.2017.08.007
- Artigue, M. (2021). Implementation studies in mathematics education: What theoretical resources? Implementation and Replication Studies in Mathematics Education, 1(1), 21-52. https://doi.org/10.1163/26670127-01010002
- Artigue, M. (2024a). A tribute to guy brousseau. International Journal of Research in Undergraduate Mathematics Education, 10(1), 4-6. https://doi.org/10.1007/s40753-024-00235-5
- Artigue, M. (2024b). L’héritage scientifique de Guy Brousseau [The scientific legacy of Guy Brousseau]. Education et Didactique, 18(1), 157-158. https://doi.org/10.4000/11ny4
- Artigue, M., & Masselin, B. (2024). The role of institutional networks in the implementation of innovative collaborative devices of teacher profesional development. Implementation and Replication Studies in Mathematics Education, 4(1), 50-82. https://doi.org/10.1163/26670127-bja10019
- Artigue, M., Knipping, C., Novotná, J., & Specht, B. (2023). Language as a resource for teachers describing mathematics classroom teaching and learning: A comparative approach. ZDM Mathematics Education, 55(3), 597-610. https://doi.org/10.1007/s11858-023-01476-5
- Asenova, M. (2024). Is theoretical topic-specific research “old fashioned”? An epistemological inquirí about the ontological creativity of mathematics education research. Mathematics Education Research Journal, 36, 849-870. https://doi.org/10.1007/s13394-023-00471-z
- Bakker, A., & Hoffmann, M. H. G. (2005). Diagrammatic reasoning as the basis for developing concepts: A semiotic analysis of students’ learning about statistical distribution. Educational Studies in Mathematics, 60(3), 333-358. https://doi.org/10.1007/s10649-005-5536-8
- Bautista, A., Roth, W.-M., & Thom, J. S. (2011). Knowing, insight learning, and the integrity of kinetic movement. Interchange, 42, 363-388. https://doi.org/10.1007/s10780-012-9164-9
- Bernacki, M. L., & Walkington, C. (2018). The role of situational interest in personalized learning. Journal of Educational Psychology, 110(6), 864-881. https://doi.org/10.1037/edu0000250
- Bernacki, M. L., Aleven, V., & Nokes-Malach, T. J. (2014). Stability and change in adolescents’ task-specific achievement goals and implications for learning mathematics with intelligent tutors. Computers in Human Behavior, 37, 73-80. https://doi.org/10.1016/j.chb.2014.04.009
- Bernacki, M. L., Byrnes, J. P., & Cromley, J. G. (2012). The effects of achievement goals and self-regulated learning behaviors on Reading comprehension in technology-enhanced learning environments. Contemporary Educational Psychology, 37(2), 148-161. https://doi.org/10.1016/j.cedpsych.2011.12.001
- Bernacki, M. L., Nokes-Malach, T. J., & Aleven, V. (2015). Examining self-efficacy during learning: variability and relations to behavior, performance, and learning. Metacognition and Learning, 10(1), 99-117. https://doi.org/10.1007/s11409-014-9127-x
- Bieleke, M., Goetz, T., Yanagida, T., Botes, E., Frenzel, A. C., & Pekrun, R. (2023). Measuring emotions in mathematics: The achievement emotions questionnaire – mathematics (AEQ-M). ZDM Mathematics Education, 55, 269-284. https://doi.org/10.1007/s11858-022-01425-8
- Björklund, C. (2010). Broadening the horizon: Toddlers’ strategies for learning mathematics. International Journal of Early Years Education, 18(1), 71-84. https://doi.org/10.1080/09669761003661246
- Björklund, C. (2012a). What counts when working with mathematics in a toddler-group? Early Years, 32(2), 215-228. https://doi.org/10.1080/09575146.2011.652940
- Björklund, C. (2012b). One step back, two steps forward – An educator’s experiences from a learning study of basic mathematics in preschool special education. Scandinavian Journal of Educational Research, 56(5), 497-517. https://doi.org/10.1080/00313831.2011.599425
- Björklund, C. (2014a). Powerful teaching in preschool - A study of goal-oriented activities for conceptual learning. International Journal of Early Years Education, 22(4), 380-394. https://doi.org/10.1080/09669760.2014.988603
- Björklund, C. (2014b). Less is more – Mathematical manipulatives in early childhood education. Early Child Development and Care, 184(3), 469-485. https://doi.org/10.1080/03004430.2013.799154
- Björklund, C. (2016). Challenges and virtues of theory-driven education – a meta-study of variation theory implemented in early childhood mathematics education. Education Inquiry, 7(4), Article 28773. https://doi.org/10.3402/edui.v7.28773
- Björklund, C., & Pramling, N. (2014). Pattern discernment and pseudo-conceptual development in early childhood mathematics education. International Journal of Early Years Education, 22(1), 89-104. https://doi.org/10.1080/09669760.2013.809657
- Björklund, C., Ekdahl, A.-L., Kullberg, A., & Reis, M. (2022). Preschoolers’ ways of experiencing numbers. Mathematical Thinking and Understanding in Learning of Mathematics, 10(2), 84-110. https://doi.org/10.31129/LUMAT.10.2.1685
- Blondel, V. D., Guillaume, J.-L., Lambiotte, R., & Lefebvre, E. (2008). Fast unfolding of communities in large networks. Journal of Statistical Mechanics: Theory and Experiment, 2008(10). https://doi.org/10.1088/1742-5468/2008/10/P10008
- Breda, A., Font, V., & Pino-Fan, L. R. (2018). Evaluative and normative criterio in didactics of mathematics: The case of didactical suitability construct. Bolema Mathematics Education Bulletin, 32(60), 255-278. https://doi.org/10.1590/1980-4415v32n60a13
- Breda, A., Pino-Fan, L. R., & Font, V. (2017). Meta didactic-mathematical knowledge of teachers: Criteria for the reflection and assessment on teaching practice. Eurasia Journal of Mathematics, Science and Technology Education, 13(6), 1893-1918. https://doi.org/10.12973/eurasia.2017.01207a
- Burgos, M., & Chaverri Hernández, J. J. (2023). Creation of proportionality problems for the training of prospective primary school teachers. Uniciencia, 37(1), 254-277. https://doi.org/10.15359/ru.37-1.14
- Burgos, M., & Chaverri Hernández, J. J. (2024). Variation of proportionality problems to assist pupils in overcoming their difficulties. An experience with future teachers. Educación Matemática, 36(2), 92-124. https://doi.org/10.24844/EM3602.04
- Burgos, M., & Chaverri, J. J. (2022). Knowledge and competencias of prospective teachers for the creation of proportionality problems. Acta Scientiae, 24(6), 270-306. https://doi.org/10.17648/acta.scientiae.7061
- Burgos, M., & Chaverri, J. J. (2023). Exploring prosective primary school teacher’s perceptions of pupils’ mathematical thinking in a proportionality problema. Aula Abierta, 52(1), 43-52. https://doi.org/10.17811/rifie.52.1.2023.43-52
- Burgos, M., & Godino, J. D. (2022a). Assessing the epistemic analysis competence of prospective primary school teachers on proportionality tasks. International Journal of Science and Mathematics Education, 20(2), 367-389. https://doi.org/10.1007/s10763-020-10143-0
- Burgos, M., & Godino, J. D. (2022b). Prospective primary school teachers’ competence for analysing the difficulties in solving proportionality problema. Mathematics Education Research Journal, 34(2), 269-291. https://doi.org/10.1007/s13394-020-00344-9
- Burgos, M., & Godino, J. D. (2022c). Prospective primary school teachers’ competence for the cognitive analysis of students’ solutions to proportionality tasks. Journal fur Mathematik-Didaktik, 43(2), 347-376. https://doi.org/10.1007/s13138-021-00193-4
- Burgos, M., Beltrán-Pellicer, P., Giacomone, B., & Godino, J. D. (2018). Prospective mathematics teachers’ knowledge and competence analysing proportionality tasks. Educacao e Pesquisa, 44, 1-22. https://doi.org/10.1590/S1678-4634201844182013
- Burgos, M., López-Martín, M. M., Aguayo-Arriagada, C. G., & Albanese, V. (2022). Cognitive analysis of probability comparison tasks by preservice primary school teachers. Uniciencia, 36(1), 588-611. https://doi.org/10.15359/ru.36-1.38
- Burgos, M., López-Martín, M. M., Albanese, V., & Aguayo-Arriagada, C. G. (2023). Analysis of primary school student’s answers to fair game tasks: An experience with preservice teachers. Boletin de Estadística e Investigación Operativa, 39(3), 48-69.
- Burgos, M., Godino, J. D., & Rivas, M. (2019). Epistemic and cognitive analysis of proportionality tasks from the algebraization levels perspective. Acta Scientiae, 21(4), 63-81. https://doi.org/10.17648/acta.scientiae.v21iss4id5094
- Burgos, M., López-Martín, M. M., Tizón-Escamilla, N., & Aguayo-Arriagada, C. G. (2024a). How do prospective teachers solve proportionality tasks in the probabilistic context? A look from the levels of algebraic reasoning. Res Mobilis, 53(2), 199-207. https://doi.org/10.17811/rifie.19972
- Burgos, M., Tizón-Escamilla, N., & Godino, J. D. (2024b). Expanded model for elementary algebraic reasoning levels. Eurasia Journal of Mathematics, Science and Technology Education, 20(7), Article em2475. https://doi.org/10.29333/ejmste/14753
- Camacho-Morles, J., Slemp, G. R., Pekrun, R., Loderer, K, Hou, H., & Oades, L. G. (2021). Activity achievement emotions and academic performance: A meta-analysis. Educational Psychology Review, 33, 1051-1095. https://doi.org/10.1007/s10648-020-09585-3
- Chen, X., & Leung, F. K. S. (2024). Secondary school students’ appraisal profiles and their relations with academic emotions in mathematics. Learning and Individual Differences, 115, Article 102545. https://doi.org/10.1016/j.lindif.2024.102545
- Cobb, P. (1994). Where is the mind? Constructivist and sociocultural perspectives on mathematical development. Educational Researcher, 23(7), 13-20. https://doi.org/10.3102/0013189X023007013
- Cobb, P., & Bowers, J. (1999). Cognitive and situated learning perspectives in theory and practice. Educational Researcher, 28(2), 4-15. https://doi.org/10.3102/0013189X028002004
- Cobb, P., Boufi, A., McClain, K., & Whitenack, J. (1997). Reflective discourse and collective reflection. Journal for Research in Mathematics Education, 28(3), 258-277. https://doi.org/10.2307/749781
- Cobb, P., Confrey, J., Disessa, A., Lehrer, R., & Schauble, L. (2003a). Design experiments in educational research. Educational Researcher, 32(1), 9-13. https://doi.org/10.3102/0013189X032001009
- Cobb, P., McClain, K., de Silva, T., & Dean, C. (2003b). Situating teachers’ instructional practices in the institutional setting of the school and district. Educational Researcher, 32(6), 13-24. https://doi.org/10.3102/0013189X032006013
- Cobb, P., Stephan, M., McClain, K., & Gravemeijer, K. (2001). Participating in classroom mathematical practices. Journal of the Learning Sciences, 10(1-2), 113-163. https://doi.org/10.1207/S15327809JLS10-1-2_6
- Confrey, J., Gianopulos, G., McGowan, W., Shah, M., & Belcher, M. (2017). Scaffolding learner-centered curricular coherence using learning maps and diagnostic assessments designed around mathematics learning trajectories. ZDM Mathematics Education, 49(5), 717-734. https://doi.org/10.1007/s11858-017-0869-1
- Confrey, J., Maloney, A. P., & Corley, A. K. (2014). Learning trajectories: A framework for connecting standards with curriculum. ZDM Mathematics Education, 46(5), 719-733. https://doi.org/10.1007/s11858-014-0598-7
- Confrey, J., Maloney, A. P., Belcher, M., McGowan, W., Hennessey, M., & Shah, M. (2018). The concept of an agile curriculum as applied to a middle school mathematics digital learning system (DLS). International Journal of Educational Research, 92, 158-172. https://doi.org/10.1016/j.ijer.2018.09.017
- Díaz, J. L. (2024). Integrating the anthropological theory of didactics in multivariate calculus education: Challenges, pedagogical shifts, and innovative activities. International Electronic Journal of Mathematics Education, 19(1), Article em0767. https://doi.org/10.29333/iejme/14142
- Díaz-Chang, T., & Arredondo, E.-H. (2024). Assessing difficulty levels of mathematical tasks through subjective and behavioral criteria. International Journal of Engineering Pedagogy, 14(7), 159-175. https://doi.org/10.3991/ijep.v14i7.46175
- Doorman, M., & Gravemeijer, K. (2009). Emergent modeling: Discrete graphs to support the understanding of change and velocity. ZDM International Journal on Mathematics Education, 41(1-2), 199-211. https://doi.org/10.1007/s11858-008-0130-z
- Doorman, M., Drijvers, P., Dekker, T., van den Heuvel-Panhuizen, M., de Lange, J., & Wijers, M. (2007). Problem solving as challenge for mathematics education in the Netherlands. ZDM International Journal on Mathematics Education, 39(5-6), 405-418. https://doi.org/10.1007/s11858-007-0043-2
- Drijvers, P. (2000). Students encountering obstacees using a CAS. International Journal of Computers for Mathematical Learning, 5(3), 189-209. https://doi.org/10.1023/A:1009825629417
- Drijvers, P., Doorman, M., Boon, P., Reed, H., & Gravemeijer, K. (2010). The teacher and the tool: Instrumetal orchestrations in the technology-rich mathematics classroom. Educational Studies in Mathematics, 75(2), 213-234. https://doi.org/10.1007/s10649-010-9254-5
- 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
- Eccles, J. S., & Wigfield, A. (2020). From expectancy-value theory to situated expectancy-value theory: A development, social cognitive, and sociocultural perspective on motivation. Contemporary Educational Psychology, 61, Article 101859. https://doi.org/10.1016/j.cedpsych.2020.101859
- Eccles, J. S., Midgley, C., Wigfield, A., Buchanan, C. M., Reuman, D., Flanagan, C., & Mac Iver, D. M. (1993b). Development during adolescence: The impact of stage-environment fit on young adolescents’ experiences in schools and in families. American Psychologist, 48(2), 90-101. https://doi.org/10.1037/0003-066X.48.2.90
- Eccles, J., Wigfield, A., Harold, R. D., & Blumenfeld, P. (1993a). Age and gender differences in children’s self and task perceptions during elementary school. Child Development, 64(3), 830-847. https://doi.org/10.1111/j.1467-8624.1993.tb02946.x
- Flood, V. J., Shvarts, A., & Abrahamson, D. (2020). Teaching with embodied learning technologies for mathematics: Responsive teaching for embodied learning. ZDM Mathematics Education, 52(7), 1307-1331. https://doi.org/10.1007/s11858-020-01165-7
- Florensa, I., Barbero, M., & Martínez-Planel, R. (2024). Comparative analysis between three theoretical approaches through empirical experiences at university level. ZDM Mathematics Education, 56(6), 1273-1285. https://doi.org/10.1007/s11858-024-01632-5
- Font, V., & Contreras, A. (2008). The problem of the particular and its relation to the general in mathematics education. Educational Studies in Mathematics, 69(1), 33-52. https://doi.org/10.1007/s10649-008-9123-7
- Font, V., Godino, J. D., & Gallardo, J. (2013). The emergence of objects from mathematical practices. Educational Studies in Mathematics, 82(1), 97-124. https://doi.org/10.1007/s10649-012-9411-0
- Font, V., Planas, N., & Godino, J. D. (2010). [Modelo para el análisis didáctico en educación matemática] A model for the study of mathematics teaching and learning processes. Infancia y Aprendizaje, 33(1), 89-105. https://doi.org/10.1174/021037010790317243
- Frenzel, A. C., Pekrun, R., & Goetz, T. (2007). Perceived learning environment and students’ emotional experiences: A multilevel analysis of mathematics classrooms. Learning and Instruction, 17(5), 478-493. https://doi.org/10.1016/j.learninstruc.2007.09.001
- Godino, J. D., Batanero, C., & Font. V. (2007). The onto-semiotic approach to research in mathematics education. ZDM International Journal on Mathematics Education, 39(1-2), 127-135. https://doi.org/10.1007/s11858-006-0004-1
- Godino, J. D., Batanero, C., & Roa, R. (2005). An onto-semiotic analysis of combinatorial problems and the solving processes by university students. Educational Studies in Mathematics, 60(1), 3-36. https://doi.org/10.1007/s10649-005-5893-3
- Godino, J. D., Batanero, C., Burgos, M., & Wilhelmi, M. R. (2024). Understanding the onto-semiotic approach in mathematics education through the lens of the cultural historical activity theory. ZDM Mathematics Education, 56(6), 1331-1344. https://doi.org/10.1007/s11858-024-01590-y
- Godino, J. D., Font Moll, V., Wilhelmi, M. R., & De Castro, C. (2009). An onto-semiotic approach to the normative dimensión in mathematics education. Enseñanza de las Ciencias, 27(1), 59-76. https://doi.org/10.5565/rev/ensciencias.3663
- Godino, J. D., Font, V., Wilhelmi, M. R., & Lurduy O. (2011). Why is the learning of elementary arithmetic concepts difficult? Semiotic tolos for understanding the nature of mathematical objects. Educational Studies in Mathematics, 77(2-3), 247-265. https://doi.org/10.1007/s10649-010-9278-x
- Godino, J. D., Giacomone, B., Batanero, C., & Font, V. (2017). Onto-semiotic approach to mathematics teacher’s knowledge and competences. Bolema Matehematics Education Bulletin, 31(57), 90-113. https://doi.org/10.1590/1980-4415v31n57a05
- Goetz, T., Bieleke, M., Yanagida, T., Krannich, M., Roos, A.-L., Frenzel, A. C., Lipnevich, A. A., & Pekrun, R. (2023). Test boredom: Exploring a neglected emotion. Journal of Educational Psychology, 115(7), 911-931. https://doi.org/10.1037/edu0000807
- González-Martín, A. S., Nardi, E., & Biza, I. (2011). Conceptually driven and visually rich tasks in texts and teaching practice: The case of infinite series. International Journal of Mathematical Education in Science and Technology, 42(5), 565-589. https://doi.org/10.1080/0020739X.2011.562310
- González-Martín, A. S., Nardi, E., & Biza, I. (2018). From resource to document: Scaffolding content and organising student learning in teachers’ documentation work on the teaching of series. Educational Studies in Mathematics, 98(3), 231-252. https://doi.org/10.1007/s10649-018-9813-8
- Goos, M. (2005). A sociocultural analysis of the development of pre-service and beginning teacher’s pedagogical identities as users of technology. Journal of Mathematics Teacher Education, 8, 35-59. https://doi.org/10.1007/s10857-005-0457-0
- Goos, M. (2013). Sociocultural perspectives in research on and with mathematics teachers: A zone theory approach. ZDM Mathematics Education, 45, 521-533. https://doi.org/10.1007/s11858-012-0477-z
- Goos, M. (2014). Creating opportunities to learn in mathematics education: A sociocultural perspective. Mathematics Education Research Journal, 26, 439-457. https://doi.org/10.1007/s13394-013-0102-7
- Goos, M., & Bennison, A. (2019). A zone theory approach to analysing identity formation in mathematics education. ZDM Mathematics Education, 51, 405-418. https://doi.org/10.1007/s11858-018-1011-8
- Goos, M., & Geiger, V. (2012). Connecting social perspectives on mathematics teacher education in online environments. ZDM Mathematics Education, 44, 705-715. https://doi.org/10.1007/s11858-012-0441-y
- Goos, M., Galbraith, P., & Renshaw, P. (2002). Socially mediated metacognition: Creating collaborative zones of proximal development in small group problem solving. Educational Studies in Mathematics, 49, 193-223. https://doi.org/10.1023/A:1016209010120
- Gravemeijer, K., & Doorman, M. (1999). Context problems in realistic mathematics education: A calculus course as an example. Educational Studies in Mathematics, 39(1-3), 111-129. https://doi.org/10.1023/a:1003749919816
- Gravemeijer, K., & Terwel, J. (2000). Hans Freudenthal: A mathematician on didactics and curriculum theory. Journal of Curriculum Studies, 32(6), 777-796. https://doi.org/10.1080/00220270050167170
- Hackenberg, A. J. (2013). The fractional knowledge and algebraic reasoning of students with the first miltiplicative concept. Journal of Mathematical Behavior, 32(3), 538-563. https://doi.org/10.1016/j.jmathb.2013.06.007
- Hackenberg, A. J., & Lee, M. Y. (2015). Relationships between students’ fractional knowledge and equation writing. Journal for Research in Mathematics Education, 46(2), 196-243. https://doi.org/10.5951/jresematheduc.46.2.0196
- Hackenberg, A. J., & Lee, M. Y. (2016). Students’ distribute reasoning with fractions and unknowns. Educational Studies in Mathematics, 93(2), 245-263. https://doi.org/10.1007/s10649-016-9704-9
- Hackenberg, A. J., Creager, M., & Eker, A. (2021). Teaching practices for differentiating mathematics instruction for middle school students. Mathematical Thinking and Learning, 23(2), 95-124. https://doi.org/10.1080/10986065.2020.1731656
- Hackenberg, A. J., Jones, R., Eker, A., & Creager, M. (2017). “Approximate” multiplicative relationships between quantitative unknowns. Journal of Mathematical Behavior, 48, 38-61. https://doi.org/10.1016/j.jmathb.2017.07.002
- Hidajat, F. A. (2026). Integration of virtual reality technology and deep learning in mathematics research and education: A creative bibliometric analysis. Social Sciences and Humanities Open, 13, Article 102487. https://doi.org/10.1016/j.ssaho.2026.102487
- Kullberg, A. (2012a). Students’ open dimensions of variation. International Journal for Lesson and Learning Studies, 1(2), 168-181. https://doi.org/10.1108/20468251211224208
- Kullberg, A. (2012b). Can findings from learning studies be shared by others? International Journal for Lesson and Learning Studies, 1(3), 232-244. https://doi.org/10.1108/20468251211256438
- Kullberg, A., & Runesson, U. (2013). Learning about the numerator and denominator in teacher-designed lessons. Mathematics Education Research Journal, 25, 547-567. https://doi.org/10.1007/s13394-013-0080-9
- Kullberg, A., Björklund, C., Runesson, U., Brkovic, I., Nord, M., & Maunula, T. (2024). Improvements in learning addition and subtraction when using a structural approach in first grade. Educational Studies in Mathematics, 117, 399-417. https://doi.org/10.1007/s10649-024-10339-z
- Kullberg, A., Runesson Kempe, U., & Marton, F. (2017). What is made possible to learn when using the variation theory of learning in teaching mathematics? ZDM Mathematics Education, 49, 559-569. https://doi.org/10.1007/s11858-017-0858-4
- Kullberg, A., Vikström, A., & Runesson, U. (2019). Mechanisms enabling knowledge production in learning study. International Journal of Lesson and Learning Studies, 9(1), 78-91. https://doi.org/10.1108/IJLLS-11-2018-0084
- Lau, A. C., Henderson, C., Stains, M., Dancy, M., Merino, C., Apkarian, N., Raker, J. R., & Johnson, E. (2024). Characteristics of departments with high-use of active learning in introductory STEM courses: Implications for departmental transformation. International Journal of STEM Education, 11(1), Article 10. https://doi.org/10.1186/s40594-024-00470-x
- Lauermann, F., Eccles, J. S., & Pekrun, R. (2017). Why do children worry about their academic achievement? An expectancy-value perspective on elementary students’ worries about their mathematics and reading performance. ZDM Mathematics Education, 49, 339-354. https://doi.org/10.1007/s11858-017-0832-1
- Lichtenfeld, S., Pekrun, R., Marsh, H. W., Nett, U. E., & Reiss, K. (2023). Achievement emotions and elementary school children’s academic performance: Longitudinal models of developmental ordering. Journal of Educational Psychology, 115(4), 552-570. https://doi.org/10.1037/edu0000748
- Lo, C. K., & Hew, K. F. (2017a). Using “First Principles of Instruction” to design mathematics flipped classroom for underperforming students. International Journal of Learning and Teaching, 3(2), 82-89. https://doi.org/10.18178/ijlt.3.2.82-89
- Lo, C. K., & Hew, K. F. (2017b). Using “First Principles of Instruction” to design secondary school mathematics flipped classroom: The findings of two exploratory studies. Journal of Educational Technology & Society, 20(1), 222-236.
- Lo, C. K., & Hew, K. F. (2020a). Developing a flipped learning approach to support student engagement: A design-based research of secondary school mathematics teaching. Journal of Computer Assisted Learning, 37(1), 142-157. https://doi.org/10.1111/jcal.12474
- Lo, C. K., & Hew, K. F. (2020b). A comparison of flipped learning with gamification, traditional learning, and online independent study: The effects on students’ mathematics achievement and cognitive engagement. Interactive Learning Environments, 28(4), 464-481. https://doi.org/10.1080/10494820.2018.1541910
- Lo, C. K., Cheung, K. L., Chan, H. R., & Chau, C. L. E. (2023). Developing flipped learning resources to support secondary school mathematics teaching during the COVID-19 pandemic. Interactive Learning Environments, 31(8), 4787-4805. https://doi.org/10.1080/10494820.2021.1981397
- Lo, C. K., Ng, D. T. K., & Ng, F. (2024b). Observing mathematical properties in the virtual world: An exploratory study of online independent learning of locus concepts. International Journal of Science and Mathematics Education, 22(1), 37-58. https://doi.org/10.1007/s10763-024-10466-2
- Lo, C. K., Ng, F., & Cheung, K. L. (2024a). Sustainable development and formative evaluation of mathematics open educational resources created by pre-service teachers: An action research study. Smart Learning Environments, 11(23), Article 23. https://doi.org/10.1186/s40561-024-00311-y
- Meiliati, R., Djodding, I. M., Aswin, Salido, A., Husain, D. S., Tahir, & Hidayati, U. (2026). Exploring problem-based learning in mathematics learning in higher education: A bibliometric review. Social Sciences and Humanities Open, 13, Article 102345. https://doi.org/10.1016/j.ssaho.2025.102345
- Mellroth, E. (2021). Teachers’ views on teaching highly able pupils in heterogeneous mathematics classroom. Scandinavian Journal of Educational Research, 65(3), 481-499. https://doi.org/10.1080/00313831.2020.1716065
- Mellroth, E., Andreas, B., & Nilsson, P. (2021). Task design for differentiated instruction in mixed-ability mathematics classrooms: Manifestations of contradictions in a professional learning community. Mathematics Teacher Education and Development, 23(3), 78-96.
- Mellroth, E., van Bommel, J., & Liljekvist, Y. (2019). Elementary teachers on orchestrating teaching for mathematically highly able pupils. Mathematics Enthusiast, 16(1-3), 127-154. https://doi.org/10.54870/1551-3440.1453
- Muryaningsih, S., Sugiman, & Kawuryan, S. P. (2026). Mapping trends and core topics in a decade of realistic mathematics education research: A comprehensive bibliometric analysis. Multidisciplinary Science Journal, 8(7). https://doi.org/10.31893/multiscience.2026437
- Nardi, E., Ryve, A., Stadler, E., & Viirman, O. (2014). Commognitive analyses of the learning and teaching of mathematics at university level: The case of discursive shifts in the study of Calculus. Research in Mathematics Education, 16(2), 182-198. https://doi.org/10.1080/14794802.2014.918338
- Nathan, M. J. (2024). Inference making and learning from text via embodied situation models: Extending Kintsch’s legacy. Discourse Processes, 61(6-7), 319-323. https://doi.org/10.1080/0163853X.2024.2362030
- Nathan, M. J., & Walkington, C. (2017). Grounded and embodied mathematical cognition: Promoting mathematical insight and proof using action and language. Cognitive Research: Principles and Implications, 2(1), Article 9. https://doi.org/10.1186/s41235-016-0040-5
- Nathan, M. J., Eilam, B., & Kim, S. (2007). To disagree, we must also agree: How intersubjectivity structures and perpetuates discourse in a mathematics classroom. Journal of the Learning Sciences, 16(4), 523-563. https://doi.org/10.1080/10508400701525238
- Nathan, M. J., Schenck, K. E., Vinsonhaler, R., Michaelis, J. E., Swart, M. I., & Walkington, C. (2021). Embodied geometric reasoning: Dynamic gestures during intuition, insight, and proof. Journal of Educational Psychology, 113(5), 929-948. https://doi.org/10.1037/edu0000638
- Nilsson, P., & Ryve, A. (2010). Focal event, contextualization, and effective communication in the mathematics classroom. Educational Studies in Mathematics, 74(3), 241-258. https://doi.org/10.1007/s10649-010-9236-7
- Olivares, D. (2024). A socio-constructivist perspective on problem-solving approaches in mathematics: Perceptions of future primary education teachers. International Journal of Learning, Teaching and Educational Research, 23(9), 220-241. https://doi.org/10.26803/ijlter.23.9.12
- Pekrun, R. (2006). The control-value theory of achievement emotions: Assumptions, corollaries, and implications for educational research and practice. Educational Psychology Review, 18(4), 315-341. https://doi.org/10.1007/s10648-006-9029-9
- Pekrun, R., Goetz, T., Daniels, L. M., Stupnisky, R. H., & Perry, R. P. (2010). Boredom in achievement settings: Exploring control-value antecedents and performance outcomes of a neglected emotion. Journal of Educational Psychology, 102(3), 531-549. https://doi.org/10.1037/a0019243
- Pino-Fan, L. R., Castro, W. F., & Font Moll, V. (2023). A macro tool to characterize and develop key competencies for the mathematics teacher’ practice. International Journal of Science and Mathematics Education, 21(5), 1407-1432. https://doi.org/10.1007/s10763-022-10301-6
- Prediger, S. (2008). The relevance of didactic categories for analysing obstacles in conceptual change: Revisiting the case of multiplication of fractions. Learning and Instruction, 18(1), 3-17. https://doi.org/10.1016/j.learninstruc.2006.08.001
- Prediger, S., & Wessel, L. (2013). Fostering German-language learners’ constructions of meanings for fractions-design and effects of a language – and mathematics – integrated intervention. Mathematics Education Research Journal, 25(3), 435-456. https://doi.org/10.1007/s13394-013-0079-2
- Putwain, D. W., Schmitz, E. A., Wood, P., & Pekrun, R. (2021). The role of achievement emotions in primary school mathematics: Control-value antecedents and achievement outcomes. British Journal of Educational Psychology, 91(1), 347-367. https://doi.org/10.1111/bjep.12367
- Roth, W.-M. (2013). On the birth of the intentional orientation to knowledge. Encyclopaideia Journal of Phenomenology and Education, 37, 91-126.
- Roth, W.-M. (2016). Growing-making mathematics: A dynamic perspective on people, materials, and movement in classrooms. Educational Studies in Mathematics, 93, 87-103. https://doi.org/10.1007/s10649-016-9695-6
- Roth, W.-M. (2017). Astonishment: A post-constructivist investigation into mathematics as passion. Educational Studies in Mathematics, 95, 97-111. https://doi.org/10.1007/s10649-016-9733-4
- Roth, W.-M. (2018). Elaborating the later Vygotsky’s radical initiative on the nature and function of language: Implications for mathematics education. ZDM Mathematics Education, 50, 975-986. https://doi.org/10.1007/s11858-018-0912-x
- Ryve, A., Larsson, M., & Nilsson, P. (2013a). Analyzing content and participation in classroom discourse: Dimensions of variation, mediating tools, and conceptual accountability. Scandinavian Journal of Educational Research, 57(1), 101-114. https://doi.org/10.1080/00313831.2011.628689
- Ryve, A., Nilsson, P., & Mason, J. (2012). Establishing mathematics for teaching within classroom interactions in teacher education. Educational Studies in Mathematics, 81(1), 1-14. https://doi.org/10.1007/s10649-011-9371-9
- Ryve, A., Nilsson, P., & Pettersson, K. (2013b). Analyzing effective communication in mathematics group work: The role of visual mediators and technical terms. Educational Studies in Mathematics, 82(3), 497-514. https://doi.org/10.1007/s10649-012-9442-6
- Schukajlow, S., Rakoczy, K., & Pekrun, R. (2023). Emotions and motivation in mathematics education: Where we are today and where we need to go. ZDM Mathematics Education, 55, 249-267. https://doi.org/10.1007/s11858-022-01463-2
- Shvarts, A., & Abrahamson, D. (2019). Dual-eye-tracking Vygotsky: A microgenetic account of a teaching/learning collaboration in an embodied-interaction technological tutorial for mathematics. Learning, Culture and Social Interaction, 22, 1-20. https://doi.org/10.1016/j.lcsi.2019.05.003
- Shvarts, A., & Abrahamson, D. (2023). Coordination dynamics of semiotic mediation: A functional dynamic systems perspective on mathematics teaching/learning. Constructivist Foundations, 18(2), 220-234.
- Shvarts, A., & Bakker, A. (2019). The early history of the scaffolding metaphor: Bernstein, Luria, Vygotsky, and before. Mind, Culture, and Activity, 26(1), 4-23. https://doi.org/10.1080/10749039.2019.1574306
- Shvarts, A., Alberto, R., Bakker, A., Doorman, M., & Drijvers, P. (2021). Embodied instrumentation in learning mathematics as the genesis of a body-artifact functional system. Educational Studies in Mathematics, 107(3), 447-469. https://doi.org/10.1007/s10649-021-10053-0
- Sztajn, P., Confrey, J., Wilson, P. H., & Edgington, C. (2012). Learning trajectory based instruction: Toward a theory of teaching. Educational Researcher, 41(5), 147-156. https://doi.org/10.3102/0013189X12442801
- Sztajn, P., Hackenberg, A. J., White, D. Y., & Allexsaht-Snider, M. (2007). Mathematics professional development for elementary teachers: Building trust within a school-based mathematics education community. Teaching and Teacher Education, 23(6), 970-984. https://doi.org/10.1016/j.tate.2006.04.023
- Tancredi, S., Abdu, R., Abrahamson, D., & Balasubramaniam, R. (2021). Modeling nonlinear dynamics of fluency development in a embodied-design mathematics learning environment with Recurrence Quantification Analysis. International Journal of Child-Computer Interaction, 29, Article 100297. https://doi.org/10.1016/j.ijcci.2021.100297
- Thom, J. S., & Roth, W.-M. (2011). Radical embodiment and semiotics: Toward a theory of mathematics in the flesh. Educational Studies in Mathematics, 77, 267-284. https://doi.org/10.1007/s10649-010-9293-y
- Toma, R. B., Yánez-Pérez, I., & Meneses-Villagrá, J. Á. (2024). Towards a socio-constructivist didactic model for integrated STEM education. Interchange, 55(1), 75-91. https://doi.org/10.1007/s10780-024-09513-2
- Tracey, D., Morin, A. J. S., Pekrun, R., Arens, A. K., Murayama, K., Lichtenfeld, S., Frenzel, A. C., Goetz, T., & Maïano, C. (2020). Mathematics motivation in students with low cognitive ability: A longitudinal study of motivation and relations with effort, self-regulation, and grades. American Journal on Intellectual and Developmental Disabilities, 125(2), 125-147. https://doi.org/10.1352/1944-7558-125.2.125
- Trouche, L. (2003). From artifact to instrument: Mathematics teaching mediated by symbolic calculators. Interacting with Computers, 15(6), 783-800. https://doi.org/10.1016/j.intcom.2003.09.004
- Trouche, L. (2004). Managing the complexity of human/machine interactions in computerized learning environments: Guiding students’ command process through instrumental orchestrations. International Journal of Computers for Mathematical Learning, 9(3), 281-307. https://doi.org/10.1007/s10758-004-3468-5
- Trouche, L., & Drijvers, P. (2010). Handheld technology for mathematics education: Flashback into the future. ZDM International Journal on Mathematics Education, 42(7), 667-681. https://doi.org/10.1007/s11858-010-0269-2
- Walkington, C., & Bernacki, M. L. (2018). Personalization of instruction: Design dimensions and implications for cognition. Journal of Experimental Education, 86(1), 50-68. https://doi.org/10.1080/00220973.2017.1380590
- Walkington, C., & Bernacki, M. L. (2019). Personalizing algebra to students’ individual interests in an intelligent tutoring system: Moderators of impact. International Journal of Artificial Intelligence in Education, 29, 58-88. https://doi.org/10.1007/s40593-018-0168-1
- Walkington, C., Bernacki, M. L., Vongkulluksn, V., Greene, M., Darwin, T., Leyva E., Istas, B., Hunnicutt, J., Washington, J., & Wang, M. (2024a). The effect of an intervention personalizing mathematics to students’ career and popular culture interests on mathematics interest and learning. Journal of Educational Psychology, 116(4), 506-531. https://doi.org/10.1037/edu0000840
- Walkington, C., Chelule, G., Woods, D., & Nathan, M. J. (2019a). Collaborative gesture as a care of extended mathematical cognition. Journal of Mathematical Behavior, 55, Article 100683. https://doi.org/10.1016/j.jmathb.2018.12.002
- Walkington, C., Nathan, M. J., Huang, W., Hunnicutt, J., & Washington, J. (2024b). Multimodal analysis of interaction data from embodied education technologies. Educational Technology Research and Development, 72, 2565-2584. https://doi.org/10.1007/s11423-023-10254-9
- Walkington, C., Nathan, M. J., Wang, M., & Schenck, K. (2022). The effect of cognitive relevance of directed actions on mathematical reasoning. Cognitive Science, 46(9), Article e13180. https://doi.org/10.1111/cogs.13180
- Walkington, C., Sherman, M., & Petrosino, A. (2012). Playing the game of story problems: Coordinating situation-based reasoning with algebraic representation. The Journal of Mathematical Behavior, 31(2), 174-195. https://doi.org/10.1016/j.jmathb.2011.12.009
- Walkington, C., Woods, D., Nathan, M. J., Chelule, G., & Wang, M. (2019b). Does restricting hand gestures impair mathematical reasoning? Learning and Instruction, 64, Article 101225. https://doi.org/10.1016/j.learninstruc.2019.101225
- Weinhandl, R., Houghton, T., & Lavicza, Z. (2021b). A case study on learning basic logical competencies when utilising technologies and real-world objects. Education and Information Technologies, 26, 639-653. https://doi.org/10.1007/s10639-020-10282-5
- Weinhandl, R., Houghton, T., Lindenbauer, E., Mayerhofer, M., Lavicza, Z., & Hohenwarter, M. (2021a). Integrating technologies into teaching and learning mathematics at the beginning of secondary education in Austria. EURASIA Journal of Mathematics, Science and Technology Education, 17(12), Article em2057. https://doi.org/10.29333/ejmste/11428
- Weinhandl, R., Kleinferchner, L. M., Schobersberger, C., Schwarzbauer, K., Houghton, T., Lindenbauer, E., Andić, B., Lavicza, Z., & Hohenwarter, M. (2023a). Utilising personas as a methodological approach to support prospective mathematics teachers’ adaptation and development of digital mathematics learning resources. Journal of Mathematics Teacher Education, 28, 775-805. https://doi.org/10.1007/s10857-023-09607-1
- Weinhandl, R., Lavicza, Z., & Houghton, T. (2020a). Matematics and STEM teacher development for flipped education. Journal of Research in Innovative Teaching & Learning, 13(1), 3-25. https://doi.org/10.1108/JRIT-01-2020-0006
- Weinhandl, R., Lavicza, Z., & Houghton, T. (2020b). Designing online learning environments for flipped approaches in professional mathematics teacher development. Journal of Information Technology Education: Research, 19, 315-337. https://doi.org/10.28945/4573
- Weinhandl, R., Lavicza, Z., Hohenwarter, M., & Schallert, S. (2020c). Enhancing flipped mathematics education by utilising GeoGebra. International Journal of Education in Mathematics, Science and Technology, 8(1). https://doi.org/10.46328/ijemst.v8i1.832
- Weinhandl, R., Mayerhofer, M., Houghton, T., Lavicza, Z., Eichmair, M., & Hohenwarter, M. (2022). Personas characterising secondary school mathematics students: Development and applications to educational technology. Education Sciences, 12(7), Article 447. https://doi.org/10.3390/educsci12070447
- Weinhandl, R., Mayerhofer, M., Houghton, T., Lavicza, Z., Eichmair, M., & Hohenwarter, M. (2023b). Mathematics student personas for the design of technology-enhanced learning environments. Research and Practice in Technology Enhanced Learning, 18, Article 32. https://doi.org/10.58459/rptel.2023.18032
- Zupic, I., & Čater, T. (2015). Bibliometric methods in management and organization. Organizational Research Methods, 18(3), 429-472. https://doi.org/10.1177/1094428114562629
How to cite this article
APA
Navarro-Ibarra, L. A., Cuevas-Salazar, O., Valenzuela-Ochoa, J. M., Acuña Michel, L. L., & Robles Aguilar, A. D. (2026). Learning in mathematics education. Bibliometric and network analysis (1980-2024). International Electronic Journal of Mathematics Education, 21(3), em0892. https://doi.org/10.29333/iejme/19008
Vancouver
Navarro-Ibarra LA, Cuevas-Salazar O, Valenzuela-Ochoa JM, Acuña Michel LL, Robles Aguilar AD. Learning in mathematics education. Bibliometric and network analysis (1980-2024). INT ELECT J MATH ED. 2026;21(3):em0892. https://doi.org/10.29333/iejme/19008
AMA
Navarro-Ibarra LA, Cuevas-Salazar O, Valenzuela-Ochoa JM, Acuña Michel LL, Robles Aguilar AD. Learning in mathematics education. Bibliometric and network analysis (1980-2024). INT ELECT J MATH ED. 2026;21(3), em0892. https://doi.org/10.29333/iejme/19008
Chicago
Navarro-Ibarra, Lizzeth Aurora, Omar Cuevas-Salazar, Jeanneth Milagros Valenzuela-Ochoa, Laura Lillian Acuña Michel, and Alan Daniel Robles Aguilar. "Learning in mathematics education. Bibliometric and network analysis (1980-2024)". International Electronic Journal of Mathematics Education 2026 21 no. 3 (2026): em0892. https://doi.org/10.29333/iejme/19008
Harvard
Navarro-Ibarra, L. A., Cuevas-Salazar, O., Valenzuela-Ochoa, J. M., Acuña Michel, L. L., and Robles Aguilar, A. D. (2026). Learning in mathematics education. Bibliometric and network analysis (1980-2024). International Electronic Journal of Mathematics Education, 21(3), em0892. https://doi.org/10.29333/iejme/19008
MLA
Navarro-Ibarra, Lizzeth Aurora et al. "Learning in mathematics education. Bibliometric and network analysis (1980-2024)". International Electronic Journal of Mathematics Education, vol. 21, no. 3, 2026, em0892. https://doi.org/10.29333/iejme/19008
Full Text (PDF)