Systematic Reviews and Meta Analysis
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Year 2025, Volume: 12 Issue: 5, 310 - 334, 01.09.2025
https://doi.org/10.17275/per.25.75.12.5

Abstract

References

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  • Aldahmash, A. H., Alshalhoub, S. A., & Naji, M. A. (2021). Mathematics teachers’ reflective thinking: Level of understanding and implementation in their professional practices. PloS One, 16(10), e0258149. https://doi.org/10.1371/journal.pone.0258149
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  • Benz, C. (2016). Reflection: An opportunity to address different aspects of professional competencies in mathematics education. Mathematics Education in the Early Years: Results from the POEM2 Conference, 2014, 419–435. https://doi.org/10.1007/978-3-319-23935-4_23
  • Broza, O., Lifshitz, A., & Atzmon, S. (2022). Exploring a model to develop critical reflective thought among elementary school math preservice teachers. Journal of Education, 202(4), 406–415. https://doi.org/10.1177/0022057421998336
  • Chamdani, M., Yusuf, F. A., Salimi, M., & Fajari, L. E. W. (2022). Meta-analysis study: The relationship between reflective thinking and learning achievement. Journal on Efficiency and Responsibility in Education and Science, 15(3), 181–188. https://doi.org/10.7160/eriesj.2022.150305
  • Changwong, K., Sukkamart, A., & Sisan, B. (2018). Critical thinking skill development: Analysis of a new learning management model for Thai high schools. Journal of International Studies, 11(2). https://doi.org/10.14254/2071-8330.2018/11-2/3
  • Chasanah, C., & Usodo, B. (2020). The effectiveness of learning models on written mathematical communication skills viewed from students’ cognitive styles. European Journal of Educational Research, 9(3), 979–994. https://doi.org/10.12973/eu-jer.9.3.979
  • Clarà, M., Mauri, T., Colomina, R., & Onrubia, J. (2019). Supporting collaborative reflection in teacher education: a case study. European Journal of Teacher Education, 42(2), 175–191. https://doi.org/10.1080/02619768.2019.1576626
  • Cornito, C., & Caingcoy, M. (2021). Reflective habits of the mind: A systematic literature review. International Journal of Research Publication and Reviews. https://dx.doi.org/10.5281/zenodo.3953324
  • Demir, S. (2015). Evaluation of critical thinking and reflective thinking skills among science teacher candidates. Journal of Education and Practice, 6(18), 17–21. Retrieved from https://www.iiste.org/Journals/index.php/JEP/article/view/23611
  • Deringöl, Y. (2019). The relationship between reflective thinking skills and academic achievement in mathematics in fourth-grade primary school students. International Online Journal of Education and Teaching, 6(3), 613–622. Retrieved from https://iojet.org/index.php/IOJET/article/view/532
  • Dervent, F. (2015). The effect of reflective thinking on the teaching practices of preservice physical education teachers. Issues in Educational Research, 25(3), 260–275. Retrieved from http://www.iier.org.au/iier25/dervent.html
  • Dewey, J. (1933). How we think. A restatement of the relation of reflective thinking to the educative process. DC Heath and Company
  • Dreyfus, T. (2002). Advanced mathematical thinking processes. In Advanced mathematical thinking (pp. 25–41). Springer. https://doi.org/10.1007/0-306-47203-1_2
  • Dubinsky, E. (2002). Reflective abstraction in advanced mathematical thinking. In Advanced mathematical thinking (pp. 95–126). Springer. https://doi.org/10.1007/0-306-47203-1_7
  • Egmir, E., & Ocak, İ. (2020). Prediction level of the fourth grade students’ scientific attitudes on reflective thinking skills for problem solving. Open Journal for Educational Research, 4(2), 87–102. https://doi.org/10.32591/coas.ojer.0402.02087e
  • Erdogan, F. (2019). Effect of cooperative learning supported by reflective thinking activities on students’ critical thinking skills. Eurasian Journal of Educational Research, 19(80), 89–112. https://doi.org/10.14689/ejer.2019.80.5
  • Erdoğan, F. (2020). The relationship between prospective middle school mathematics teachers’ critical thinking skills and reflective thinking skills. Participatory Educational Research, 7(1), 220–241. https://doi.org/10.17275/per.20.13.7.1
  • Farnila, Y., Johar, R., & Usman, U. (2021). Students’ reflective thinking process in mathematical problem-solving reviewed from self-confidence. AIP Conference Proceedings, 2331(1). https://doi.org/10.1063/5.0042223
  • Fitriati, F., Novita, R., & Johar, R. (2020). Exploring the usefulness of rich mathematical tasks to enhance. Cakrawala Pendidikan [Educational Horizons], 39(2), 346–358. https://doi.org/10.21831/cp.v39i2.24047
  • Flora, J. (2023). Demystifying Preservice Teacher Reflective Thinking: A Systematic Literature Review. Doctor of Education (EdD), 213. Retrieved from https://digitalcommons.georgefox.edu/edd/213/
  • Gelter, H. (2003). Why is reflective thinking uncommon. Reflective Practice, 4(3), 337–344. https://doi.org/10.1080/1462394032000112237
  • Gökçe, S., & Yenmez, A. A. (2023). Ingenuity of scratch programming on reflective thinking towards problem solving and computational thinking. Education and Information Technologies, 28(5), 5493–5517. https://doi.org/10.1007/s10639-022-11385-x
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Thinking Beyond the Equations: A Deep Dive into Reflective Thinking for Mathematics Learning

Year 2025, Volume: 12 Issue: 5, 310 - 334, 01.09.2025
https://doi.org/10.17275/per.25.75.12.5

Abstract

Reflective thinking is a cognitive process that involves re-examining issues to overcome challenges in problem-solving. In the context of mathematics education, it serves not only as a tool for error correction but also as a means of fostering deeper conceptual understanding and self-regulation. This study aims to assess current research on reflective thinking within the field of mathematics education. To explore this, relevant keywords such as "reflective thinking" and "mathematics education" were used in literature searches. A systematic literature review (SLR) was conducted to enhance our understanding of the topic, focusing on articles indexed in the ERIC and Scopus databases. Following the PRISMA guidelines, we carefully evaluated 101 articles published between 2018 and 2024, eliminating duplicates and irrelevant content. Ultimately, 23 articles were selected based on predefined criteria. The findings reveal that reflective thinking is an ongoing and dynamic process that positively impacts academic achievement. The review highlights the significant role of reflective thinking in various areas, including problem-solving, creative idea generation, task completion, learning enhancement, decision-making, and the development of both systematic and conceptual skills. In conclusion, this study emphasizes the essential role of reflective thinking in mathematics education, underscoring its importance in improving educational practices and outcomes. Furthermore, reflective thinking not only enhances individual cognitive skills but also promotes collaborative and interactive learning environments, encourages reflective teaching practices among educators, and strengthens lifelong learning dispositions, all of which are crucial for holistic educational development.

Thanks

The authors express their gratitude to the Education Higher Financing Agency (BPPT) (ID number 202209090811) under the Ministry of Education and Culture, as well as the Educational Fund Management Institution (LPDP) Indonesia, for funding this study, enabling it to be conducted effectively and on schedule.

References

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  • Ball, D. L., & Bass, H. (2002). Toward a practice-based theory of mathematical knowledge for teaching. Proceedings of the 2002 Annual Meeting of the Canadian Mathematics Education Study Group, 3–14. Canadian Mathematics Education Study Group.
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  • Baron, J. (1981). Reflective thinking as a goal of education. Intelligence, 5, 291–309. Elsevier. https://doi.org/10.1016/0160-2896(81)90021-0
  • Benz, C. (2016). Reflection: An opportunity to address different aspects of professional competencies in mathematics education. Mathematics Education in the Early Years: Results from the POEM2 Conference, 2014, 419–435. https://doi.org/10.1007/978-3-319-23935-4_23
  • Broza, O., Lifshitz, A., & Atzmon, S. (2022). Exploring a model to develop critical reflective thought among elementary school math preservice teachers. Journal of Education, 202(4), 406–415. https://doi.org/10.1177/0022057421998336
  • Chamdani, M., Yusuf, F. A., Salimi, M., & Fajari, L. E. W. (2022). Meta-analysis study: The relationship between reflective thinking and learning achievement. Journal on Efficiency and Responsibility in Education and Science, 15(3), 181–188. https://doi.org/10.7160/eriesj.2022.150305
  • Changwong, K., Sukkamart, A., & Sisan, B. (2018). Critical thinking skill development: Analysis of a new learning management model for Thai high schools. Journal of International Studies, 11(2). https://doi.org/10.14254/2071-8330.2018/11-2/3
  • Chasanah, C., & Usodo, B. (2020). The effectiveness of learning models on written mathematical communication skills viewed from students’ cognitive styles. European Journal of Educational Research, 9(3), 979–994. https://doi.org/10.12973/eu-jer.9.3.979
  • Clarà, M., Mauri, T., Colomina, R., & Onrubia, J. (2019). Supporting collaborative reflection in teacher education: a case study. European Journal of Teacher Education, 42(2), 175–191. https://doi.org/10.1080/02619768.2019.1576626
  • Cornito, C., & Caingcoy, M. (2021). Reflective habits of the mind: A systematic literature review. International Journal of Research Publication and Reviews. https://dx.doi.org/10.5281/zenodo.3953324
  • Demir, S. (2015). Evaluation of critical thinking and reflective thinking skills among science teacher candidates. Journal of Education and Practice, 6(18), 17–21. Retrieved from https://www.iiste.org/Journals/index.php/JEP/article/view/23611
  • Deringöl, Y. (2019). The relationship between reflective thinking skills and academic achievement in mathematics in fourth-grade primary school students. International Online Journal of Education and Teaching, 6(3), 613–622. Retrieved from https://iojet.org/index.php/IOJET/article/view/532
  • Dervent, F. (2015). The effect of reflective thinking on the teaching practices of preservice physical education teachers. Issues in Educational Research, 25(3), 260–275. Retrieved from http://www.iier.org.au/iier25/dervent.html
  • Dewey, J. (1933). How we think. A restatement of the relation of reflective thinking to the educative process. DC Heath and Company
  • Dreyfus, T. (2002). Advanced mathematical thinking processes. In Advanced mathematical thinking (pp. 25–41). Springer. https://doi.org/10.1007/0-306-47203-1_2
  • Dubinsky, E. (2002). Reflective abstraction in advanced mathematical thinking. In Advanced mathematical thinking (pp. 95–126). Springer. https://doi.org/10.1007/0-306-47203-1_7
  • Egmir, E., & Ocak, İ. (2020). Prediction level of the fourth grade students’ scientific attitudes on reflective thinking skills for problem solving. Open Journal for Educational Research, 4(2), 87–102. https://doi.org/10.32591/coas.ojer.0402.02087e
  • Erdogan, F. (2019). Effect of cooperative learning supported by reflective thinking activities on students’ critical thinking skills. Eurasian Journal of Educational Research, 19(80), 89–112. https://doi.org/10.14689/ejer.2019.80.5
  • Erdoğan, F. (2020). The relationship between prospective middle school mathematics teachers’ critical thinking skills and reflective thinking skills. Participatory Educational Research, 7(1), 220–241. https://doi.org/10.17275/per.20.13.7.1
  • Farnila, Y., Johar, R., & Usman, U. (2021). Students’ reflective thinking process in mathematical problem-solving reviewed from self-confidence. AIP Conference Proceedings, 2331(1). https://doi.org/10.1063/5.0042223
  • Fitriati, F., Novita, R., & Johar, R. (2020). Exploring the usefulness of rich mathematical tasks to enhance. Cakrawala Pendidikan [Educational Horizons], 39(2), 346–358. https://doi.org/10.21831/cp.v39i2.24047
  • Flora, J. (2023). Demystifying Preservice Teacher Reflective Thinking: A Systematic Literature Review. Doctor of Education (EdD), 213. Retrieved from https://digitalcommons.georgefox.edu/edd/213/
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There are 83 citations in total.

Details

Primary Language English
Subjects Higher Education Studies (Other)
Journal Section Research Articles
Authors

Krida Kuncoro 0000-0001-6173-1251

Angga Hidayat 0000-0003-3524-5940

Mohamad Basri Nadzeri 0000-0001-6335-5202

Dadang Juandi 0000-0001-6997-1399

Agus Hendriyanto 0000-0001-6473-8379

Fajar Meirani 0009-0002-6486-2753

Early Pub Date September 6, 2025
Publication Date September 1, 2025
Submission Date June 4, 2024
Acceptance Date July 14, 2025
Published in Issue Year 2025 Volume: 12 Issue: 5

Cite

APA Kuncoro, K., Hidayat, A., Nadzeri, M. B., … Juandi, D. (2025). Thinking Beyond the Equations: A Deep Dive into Reflective Thinking for Mathematics Learning. Participatory Educational Research, 12(5), 310-334. https://doi.org/10.17275/per.25.75.12.5