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References
- Avcı, C., & Deniz, M. N. (2022). Computational thinking: early childhood teachers’ and prospective teachers’ preconceptions and self-efficacy. Education and Information Technologies, 27(8), 11689–11713. https://doi.org/10.1007/s10639-022-11078-5
- Bliss, K. M., Galluzzo, B. J., Kavanagh, K. R., & Skufa, J. D. (2019). Incorporating Mathematical Modeling into the Undergraduate Curriculum: What the GAIMME Report Offers Faculty. Primus, 29(10), 1101–1118. https://doi.org/10.1080/10511970.2018.1488787
- Borchers, C., Fleischer, H., Yaron, D. J., McLaren, B. M., Scheiter, K., Aleven, V., & Schanze, S. (2025). Problem-Solving Strategies in Stoichiometry Across Two Intelligent Tutoring Systems: A Cross-National Study. Journal of Science Education and Technology, 0123456789. https://doi.org/10.1007/s10956-024-10197-7
- Brandsæter, A., & Berge, R. L. (2025). Promoting mathematical competence development through programming activities. Educational Studies in Mathematics. https://doi.org/10.1007/s10649-024-10380-y
- Calor, S. M., Dekker, R., van Drie, J. P., & Volman, M. L. L. (2022). Scaffolding small groups at the group level: Improving the scaffolding behavior of mathematics teachers during mathematical discussions. Journal of the Learning Sciences, 31(3), 369–407. https://doi.org/10.1080/10508406.2021.2024834
- Capone, R. (2022). Blended Learning and Student-centered Active Learning Environment: a Case Study with STEM Undergraduate Students. Canadian Journal of Science, Mathematics and Technology Education, 22(1), 210–236. https://doi.org/10.1007/s42330-022-00195-5
- Capone, R., Adesso, M. G., Del Regno, F., Lombardi, L., & Tortoriello, F. S. (2021). Mathematical competencies: a case study on semiotic systems and argumentation in an Italian High School. International Journal of Mathematical Education in Science and Technology, 52(6), 896–911. https://doi.org/10.1080/0020739X.2020.1726517
- Chinofunga, M. D., Chigeza, P., & Taylor, S. (2024). How can procedural flowcharts support the development of mathematics problem-solving skills? In Mathematics Education Research Journal (Issue 0123456789). Springer Netherlands. https://doi.org/10.1007/s13394-024-00483-3
- Doruk, M., & Doruk, G. (2022). Students’ ability to determine the truth value of mathematical propositions in the context of operation meanings. International Journal of Mathematical Education in Science and Technology, 53(4), 753–786. https://doi.org/10.1080/0020739X.2020.1782494
- Faulkner, F., Breen, C., Prendergast, M., & Carr, M. (2023). Profiling mathematical procedural and problem-solving skills of undergraduate students following a new mathematics curriculum. International Journal of Mathematical Education in Science and Technology, 54(2), 220–249. https://doi.org/10.1080/0020739X.2021.1953625
- Fitzsimons, A., & Ní Fhloinn, E. (2023). The cops model for collaborative problem-solving in mathematics. Irish Educational Studies. https://doi.org/10.1080/03323315.2023.2189137
- Geraniou, E., Jankvist, U. T., Elicer, R., Tamborg, A. L., & Misfeldt, M. (2024). Towards a definition of “mathematical digital competency for teaching.” ZDM - Mathematics Education, 56(4), 625–637. https://doi.org/10.1007/s11858-024-01585-9
- Haataja, E. S. H., Koskinen-Salmia, A., Salonen, V., Toivanen, M., & Hannula, M. S. (2024). Student visual attention during group instruction phases in collaborative geometry problem solving. Educational Studies in Mathematics, 0123456789. https://doi.org/10.1007/s10649-024-10337-1
- Herold-blasius, R. (2024). Investigations in Mathematics Learning The role of strategy keys in enhancing heuristics and self-regulation in mathematical problem-solving : A qualitative , explorative , and type-building study with primary school students. Investigations in Mathematics Learning, 00(00), 1–20. https://doi.org/10.1080/19477503.2024.2430135
- Hidajat, F. A. (2023). Augmented reality applications for mathematical creativity: a systematic review. In Journal of Computers in Education (Vol. 11, Issue 4). Springer Berlin Heidelberg. https://doi.org/10.1007/s40692-023-00287-7
- Hinton, V. M., & Flores, M. M. (2019). The Effects of the Concrete-Representational-Abstract Sequence for Students at Risk for Mathematics Failure. Journal of Behavioral Education, 28(4), 493–516. https://doi.org/10.1007/s10864-018-09316-3
- Huang, X., Lo, C. K., He, J., & Xu, S. (2024). Scaffolding ‑ informed design of open educational resources in Chinese secondary school mathematics : insights from multi ‑ cycle formative evaluation. Smart Learning Environments. https://doi.org/10.1186/s40561-024-00337-2
- Iwuanyanwu, P. N., & Ogunniyi, M. B. (2020). Effects of Dialogical Argumentation Instructional Model on Pre-service Teachers’ Ability to Solve Conceptual Mathematical Problems in Physics. African Journal of Research in Mathematics, Science and Technology Education, 24(1), 129–141. https://doi.org/10.1080/18117295.2020.1748325
- Kohen, Z. (2019). Informed integration of IWB technology, incorporated with exposure to varied mathematics problem-solving skills: its effect on students’ real-time emotions. International Journal of Mathematical Education in Science and Technology, 50(8), 1128–1151. https://doi.org/10.1080/0020739X.2018.1562119
- Kohen, Z. (2025). Structured mathematical modelling in an authentic scientific-engineering context. ZDM - Mathematics Education, 0123456789. https://doi.org/10.1007/s11858-025-01654-7
- Leitner, A., & Gabel, M. (2024). Students’ Self-work During Lectures in Calculus Courses – Cognitive and Affective Effects of a Small Intervention. International Journal of Research in Undergraduate Mathematics Education, 0123456789. https://doi.org/10.1007/s40753-024-00249-z
- Mayer, R. E., & Moreno, R. (2003). Nine ways to reduce cognitive load in multimedia learning. Educational Psychologist, 38 (1), 43–52. https://doi.org/10.1207/S15326985EP3801_6
- Martinez, B. L., Sweeder, R. D., VandenPlas, J. R., & Herrington, D. G. (2021). Improving conceptual understanding of gas behavior through the use of screencasts and simulations. International Journal of STEM Education, 8(1). https://doi.org/10.1186/s40594-020-00261-0
- Nückles, M. (2021). Investigating Visual Perception in Teaching and Learning with Advanced Eye-Tracking Methodologies: Rewards and Challenges of an Innovative Research Paradigm. Educational Psychology Review, 33(1), 149–167. https://doi.org/10.1007/s10648-020-09567-5
- Paivio, A. (1986). Mental representations. Oxford University Press. https://doi.org/10.1037/0033-2909.124.3.372.
- Partanen, P., Jansson, B., & Sundin, Ö. (2020). Fluid reasoning, working memory and planning ability in assessment of risk for mathematical difficulties. Educational Psychology in Practice, 36(3), 229–240. https://doi.org/10.1080/02667363.2020.1736518
- Pereda, Á., José, L., & González, A. (2025). Enhancing mathematics performance in primary education : The impact of personalized learning on fractions and decimal numbers. In Education and Information Technologies (Issue 0123456789). Springer US. https://doi.org/10.1007/s10639-025-13428-5
- Peretz, R., Tal, M., Akiri, E., Dori, D., & Dori, Y. J. (2023). Fostering engineering and science students’ and teachers’ systems thinking and conceptual modeling skills. In Instructional Science (Vol. 51, Issue 3). Springer Netherlands. https://doi.org/10.1007/s11251-023-09625-9
- Rezat, S., Malik, S., & Leifeld, M. (2022). Scaffolding Close Reading of Mathematical Text in Pre-service Primary Teacher Education at the Tertiary Level: Design and Evaluation. International Journal of Science and Mathematics Education, 20, 215–236. https://doi.org/10.1007/s10763-022-10309-y
- Rodríguez-Nieto, C. A., Font Moll, V., Borji, V., & Rodríguez-Vásquez, F. M. (2022). Mathematical connections from a networking of theories between extended theory of mathematical connections and onto-semiotic approach. International Journal of Mathematical Education in Science and Technology, 53(9), 2364–2390. https://doi.org/10.1080/0020739X.2021.1875071
- Rohde Poole, S. B. (2022). Designing and Teaching an Undergraduate Mathematical Modeling Course for Mathematics Majors and Minors. Primus, 32(7), 764–784. https://doi.org/10.1080/10511970.2021.1931995
- Sidenvall, J., Granberg, C., Lithner, J., & Palmberg, B. (2022). Supporting teachers in supporting students’ mathematical problem solving. International Journal of Mathematical Education in Science and Technology. https://doi.org/10.1080/0020739X.2022.2151067
- Siller, H. S., Nitzan-Tamar, O., & Kohen, Z. (2023). Scaffolding practices for modelling instruction in STEM-related contexts: insights from expert and novice teachers. ZDM - Mathematics Education, 55(7), 1351–1364. https://doi.org/10.1007/s11858-023-01529-9
- Smit, R., Dober, H., Hess, K., Bachmann, P., & Birri, T. (2023). Supporting primary students’ mathematical reasoning practice: the effects of formative feedback and the mediating role of self-efficacy. Research in Mathematics Education, 25(3), 277–300. https://doi.org/10.1080/14794802.2022.2062780
- Smith, J. M., & Mancy, R. (2018). Exploring the relationship between metacognitive and collaborative talk during group mathematical problem-solving–what do we mean by collaborative metacognition? Research in Mathematics Education, 20(1), 14–36. https://doi.org/10.1080/14794802.2017.1410215
- Sui, C. J., Yen, M. H., & Chang, C. Y. (2024). Teachers’ perceptions of teaching science with technology-enhanced self-regulated learning strategies through the DECODE model. Education and Information Technologies, 22813–22839. https://doi.org/10.1007/s10639-024-12715-x
- Suwarto, S., Hidayah, I., Rochmad, R., & Masrukan, M. (2023). Intuitive thinking: Perspectives on intuitive thinking processes in mathematical problem solving through a literature review. Cogent Education, 10(2). https://doi.org/10.1080/2331186X.2023.2243119
- Tesfaw, B. K., Ayele, M. A., & Wondimuneh, T. E. (2024). Context-based problem-posing and solving instructional approach and students’ engagement in learning data handling. Cogent Education, 11(1). https://doi.org/10.1080/2331186X.2024.2389486
- Tinungki, G. M., Hartono, P. G., Nurwahyu, B., Islamiyati, A., Robiyanto, R., Hartono, A. B., & Raya, M. Y. (2024). Exploring the team-assisted individualization cooperative learning to enhance mathematical problem solving, communication and self-proficiency in teaching non-parametric statistics. Cogent Education, 11(1). https://doi.org/10.1080/2331186X.2024.2381333
- Toikka, S., Eronen, L., Atjonen, P., & Havu-Nuutinen, S. (2024). Combined conceptualisations of metacognitive knowledge to understand students’ mathematical problem-solving. Cogent Education, 11(1). https://doi.org/10.1080/2331186X.2024.2357901
- Vogel, F., Kollar, I., Fischer, F., Reiss, K., & Ufer, S. (2022). Adaptable scaffolding of mathematical argumentation skills: The role of self-regulation when scaffolded with CSCL scripts and heuristic worked examples. International Journal of Computer-Supported Collaborative Learning, 17(1), 39–64. https://doi.org/10.1007/s11412-022-09363-z
- Zhang, L., Stylianides, G. J., & Stylianides, A. J. (2024). Enhancing mathematical problem posing competence: a meta-analysis of intervention studies. International Journal of STEM Education, 11(1), 1–24. https://doi.org/10.1186/s40594-024-00507-1
References
Avcı, C., & Deniz, M. N. (2022). Computational thinking: early childhood teachers’ and prospective teachers’ preconceptions and self-efficacy. Education and Information Technologies, 27(8), 11689–11713. https://doi.org/10.1007/s10639-022-11078-5
Bliss, K. M., Galluzzo, B. J., Kavanagh, K. R., & Skufa, J. D. (2019). Incorporating Mathematical Modeling into the Undergraduate Curriculum: What the GAIMME Report Offers Faculty. Primus, 29(10), 1101–1118. https://doi.org/10.1080/10511970.2018.1488787
Borchers, C., Fleischer, H., Yaron, D. J., McLaren, B. M., Scheiter, K., Aleven, V., & Schanze, S. (2025). Problem-Solving Strategies in Stoichiometry Across Two Intelligent Tutoring Systems: A Cross-National Study. Journal of Science Education and Technology, 0123456789. https://doi.org/10.1007/s10956-024-10197-7
Brandsæter, A., & Berge, R. L. (2025). Promoting mathematical competence development through programming activities. Educational Studies in Mathematics. https://doi.org/10.1007/s10649-024-10380-y
Calor, S. M., Dekker, R., van Drie, J. P., & Volman, M. L. L. (2022). Scaffolding small groups at the group level: Improving the scaffolding behavior of mathematics teachers during mathematical discussions. Journal of the Learning Sciences, 31(3), 369–407. https://doi.org/10.1080/10508406.2021.2024834
Capone, R. (2022). Blended Learning and Student-centered Active Learning Environment: a Case Study with STEM Undergraduate Students. Canadian Journal of Science, Mathematics and Technology Education, 22(1), 210–236. https://doi.org/10.1007/s42330-022-00195-5
Capone, R., Adesso, M. G., Del Regno, F., Lombardi, L., & Tortoriello, F. S. (2021). Mathematical competencies: a case study on semiotic systems and argumentation in an Italian High School. International Journal of Mathematical Education in Science and Technology, 52(6), 896–911. https://doi.org/10.1080/0020739X.2020.1726517
Chinofunga, M. D., Chigeza, P., & Taylor, S. (2024). How can procedural flowcharts support the development of mathematics problem-solving skills? In Mathematics Education Research Journal (Issue 0123456789). Springer Netherlands. https://doi.org/10.1007/s13394-024-00483-3
Doruk, M., & Doruk, G. (2022). Students’ ability to determine the truth value of mathematical propositions in the context of operation meanings. International Journal of Mathematical Education in Science and Technology, 53(4), 753–786. https://doi.org/10.1080/0020739X.2020.1782494
Faulkner, F., Breen, C., Prendergast, M., & Carr, M. (2023). Profiling mathematical procedural and problem-solving skills of undergraduate students following a new mathematics curriculum. International Journal of Mathematical Education in Science and Technology, 54(2), 220–249. https://doi.org/10.1080/0020739X.2021.1953625
Fitzsimons, A., & Ní Fhloinn, E. (2023). The cops model for collaborative problem-solving in mathematics. Irish Educational Studies. https://doi.org/10.1080/03323315.2023.2189137
Geraniou, E., Jankvist, U. T., Elicer, R., Tamborg, A. L., & Misfeldt, M. (2024). Towards a definition of “mathematical digital competency for teaching.” ZDM - Mathematics Education, 56(4), 625–637. https://doi.org/10.1007/s11858-024-01585-9
Haataja, E. S. H., Koskinen-Salmia, A., Salonen, V., Toivanen, M., & Hannula, M. S. (2024). Student visual attention during group instruction phases in collaborative geometry problem solving. Educational Studies in Mathematics, 0123456789. https://doi.org/10.1007/s10649-024-10337-1
Herold-blasius, R. (2024). Investigations in Mathematics Learning The role of strategy keys in enhancing heuristics and self-regulation in mathematical problem-solving : A qualitative , explorative , and type-building study with primary school students. Investigations in Mathematics Learning, 00(00), 1–20. https://doi.org/10.1080/19477503.2024.2430135
Hidajat, F. A. (2023). Augmented reality applications for mathematical creativity: a systematic review. In Journal of Computers in Education (Vol. 11, Issue 4). Springer Berlin Heidelberg. https://doi.org/10.1007/s40692-023-00287-7
Hinton, V. M., & Flores, M. M. (2019). The Effects of the Concrete-Representational-Abstract Sequence for Students at Risk for Mathematics Failure. Journal of Behavioral Education, 28(4), 493–516. https://doi.org/10.1007/s10864-018-09316-3
Huang, X., Lo, C. K., He, J., & Xu, S. (2024). Scaffolding ‑ informed design of open educational resources in Chinese secondary school mathematics : insights from multi ‑ cycle formative evaluation. Smart Learning Environments. https://doi.org/10.1186/s40561-024-00337-2
Iwuanyanwu, P. N., & Ogunniyi, M. B. (2020). Effects of Dialogical Argumentation Instructional Model on Pre-service Teachers’ Ability to Solve Conceptual Mathematical Problems in Physics. African Journal of Research in Mathematics, Science and Technology Education, 24(1), 129–141. https://doi.org/10.1080/18117295.2020.1748325
Kohen, Z. (2019). Informed integration of IWB technology, incorporated with exposure to varied mathematics problem-solving skills: its effect on students’ real-time emotions. International Journal of Mathematical Education in Science and Technology, 50(8), 1128–1151. https://doi.org/10.1080/0020739X.2018.1562119
Kohen, Z. (2025). Structured mathematical modelling in an authentic scientific-engineering context. ZDM - Mathematics Education, 0123456789. https://doi.org/10.1007/s11858-025-01654-7
Leitner, A., & Gabel, M. (2024). Students’ Self-work During Lectures in Calculus Courses – Cognitive and Affective Effects of a Small Intervention. International Journal of Research in Undergraduate Mathematics Education, 0123456789. https://doi.org/10.1007/s40753-024-00249-z
Mayer, R. E., & Moreno, R. (2003). Nine ways to reduce cognitive load in multimedia learning. Educational Psychologist, 38 (1), 43–52. https://doi.org/10.1207/S15326985EP3801_6
Martinez, B. L., Sweeder, R. D., VandenPlas, J. R., & Herrington, D. G. (2021). Improving conceptual understanding of gas behavior through the use of screencasts and simulations. International Journal of STEM Education, 8(1). https://doi.org/10.1186/s40594-020-00261-0
Nückles, M. (2021). Investigating Visual Perception in Teaching and Learning with Advanced Eye-Tracking Methodologies: Rewards and Challenges of an Innovative Research Paradigm. Educational Psychology Review, 33(1), 149–167. https://doi.org/10.1007/s10648-020-09567-5
Paivio, A. (1986). Mental representations. Oxford University Press. https://doi.org/10.1037/0033-2909.124.3.372.
Partanen, P., Jansson, B., & Sundin, Ö. (2020). Fluid reasoning, working memory and planning ability in assessment of risk for mathematical difficulties. Educational Psychology in Practice, 36(3), 229–240. https://doi.org/10.1080/02667363.2020.1736518
Pereda, Á., José, L., & González, A. (2025). Enhancing mathematics performance in primary education : The impact of personalized learning on fractions and decimal numbers. In Education and Information Technologies (Issue 0123456789). Springer US. https://doi.org/10.1007/s10639-025-13428-5
Peretz, R., Tal, M., Akiri, E., Dori, D., & Dori, Y. J. (2023). Fostering engineering and science students’ and teachers’ systems thinking and conceptual modeling skills. In Instructional Science (Vol. 51, Issue 3). Springer Netherlands. https://doi.org/10.1007/s11251-023-09625-9
Rezat, S., Malik, S., & Leifeld, M. (2022). Scaffolding Close Reading of Mathematical Text in Pre-service Primary Teacher Education at the Tertiary Level: Design and Evaluation. International Journal of Science and Mathematics Education, 20, 215–236. https://doi.org/10.1007/s10763-022-10309-y
Rodríguez-Nieto, C. A., Font Moll, V., Borji, V., & Rodríguez-Vásquez, F. M. (2022). Mathematical connections from a networking of theories between extended theory of mathematical connections and onto-semiotic approach. International Journal of Mathematical Education in Science and Technology, 53(9), 2364–2390. https://doi.org/10.1080/0020739X.2021.1875071
Rohde Poole, S. B. (2022). Designing and Teaching an Undergraduate Mathematical Modeling Course for Mathematics Majors and Minors. Primus, 32(7), 764–784. https://doi.org/10.1080/10511970.2021.1931995
Sidenvall, J., Granberg, C., Lithner, J., & Palmberg, B. (2022). Supporting teachers in supporting students’ mathematical problem solving. International Journal of Mathematical Education in Science and Technology. https://doi.org/10.1080/0020739X.2022.2151067
Siller, H. S., Nitzan-Tamar, O., & Kohen, Z. (2023). Scaffolding practices for modelling instruction in STEM-related contexts: insights from expert and novice teachers. ZDM - Mathematics Education, 55(7), 1351–1364. https://doi.org/10.1007/s11858-023-01529-9
Smit, R., Dober, H., Hess, K., Bachmann, P., & Birri, T. (2023). Supporting primary students’ mathematical reasoning practice: the effects of formative feedback and the mediating role of self-efficacy. Research in Mathematics Education, 25(3), 277–300. https://doi.org/10.1080/14794802.2022.2062780
Smith, J. M., & Mancy, R. (2018). Exploring the relationship between metacognitive and collaborative talk during group mathematical problem-solving–what do we mean by collaborative metacognition? Research in Mathematics Education, 20(1), 14–36. https://doi.org/10.1080/14794802.2017.1410215
Sui, C. J., Yen, M. H., & Chang, C. Y. (2024). Teachers’ perceptions of teaching science with technology-enhanced self-regulated learning strategies through the DECODE model. Education and Information Technologies, 22813–22839. https://doi.org/10.1007/s10639-024-12715-x
Suwarto, S., Hidayah, I., Rochmad, R., & Masrukan, M. (2023). Intuitive thinking: Perspectives on intuitive thinking processes in mathematical problem solving through a literature review. Cogent Education, 10(2). https://doi.org/10.1080/2331186X.2023.2243119
Tesfaw, B. K., Ayele, M. A., & Wondimuneh, T. E. (2024). Context-based problem-posing and solving instructional approach and students’ engagement in learning data handling. Cogent Education, 11(1). https://doi.org/10.1080/2331186X.2024.2389486
Tinungki, G. M., Hartono, P. G., Nurwahyu, B., Islamiyati, A., Robiyanto, R., Hartono, A. B., & Raya, M. Y. (2024). Exploring the team-assisted individualization cooperative learning to enhance mathematical problem solving, communication and self-proficiency in teaching non-parametric statistics. Cogent Education, 11(1). https://doi.org/10.1080/2331186X.2024.2381333
Toikka, S., Eronen, L., Atjonen, P., & Havu-Nuutinen, S. (2024). Combined conceptualisations of metacognitive knowledge to understand students’ mathematical problem-solving. Cogent Education, 11(1). https://doi.org/10.1080/2331186X.2024.2357901
Vogel, F., Kollar, I., Fischer, F., Reiss, K., & Ufer, S. (2022). Adaptable scaffolding of mathematical argumentation skills: The role of self-regulation when scaffolded with CSCL scripts and heuristic worked examples. International Journal of Computer-Supported Collaborative Learning, 17(1), 39–64. https://doi.org/10.1007/s11412-022-09363-z
Zhang, L., Stylianides, G. J., & Stylianides, A. J. (2024). Enhancing mathematical problem posing competence: a meta-analysis of intervention studies. International Journal of STEM Education, 11(1), 1–24. https://doi.org/10.1186/s40594-024-00507-1