Progressivism-Based Instruction in Mathematics: A Review of Effects on Conceptual Understanding, Procedural Knowledge, and Student Attitudes
DOI:
https://doi.org/10.69569/jip.2025.018Keywords:
Conceptual understanding, Mathematics education, Procedural knowledge, Progressivism- based instruction, Student attitudesAbstract
This narrative review examines the application and impact of progressivism-based instruction in mathematics, focusing on conceptual understanding, procedural knowledge, and student attitudes. Drawing on foundational works by John Dewey, Jean Piaget, and other progressive theorists, the review highlights the key tenets of progressivism, including student-centered learning, inquiry-driven activities, and collaborative problem-solving. Empirical studies suggest that adopting progressivist strategies can deepen students’ conceptual comprehension and enhance their motivation and confidence in mathematics. Despite these benefits, questions persist about maintaining sufficient attention to procedural fluency—an area where traditional approaches are often more explicit. Some research indicates that students may develop strong conceptual frameworks under progressive methods but may not always receive the systematic practice needed for computational efficiency or high-stakes examinations. Consequently, certain studies advocate blended pedagogies that incorporate progressive and explicit procedural strategies to balance deeper cognitive engagement and mastery of essential skills. Overall, this review underscores the transformative potential of progressivism in mathematics education while identifying gaps in research on how best to harmonize conceptual rigor with procedural fluency, thus guiding future inquiries and instructional design.
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Andal, S.B., & Andrade, R.R. (2022). Exploring students’ procedural fluency and written adaptive reasoning skills in solving open-ended problems, International Journal of Science, Technology, Engineering and Mathematics, 2(1), 1-25. https://doi.org/10.53378/352872
Anderson, W. G. (1973). Progressivism: An historiographical essay. The History Teacher, 6(3), 427-452. https://www.jstor.org/stable/492218
Asmida, A., Sakidin, S., & Hartoyo, A. (2018). Developing the mathematics conceptual understanding and procedural fluency through didactical anticipatory approach equipped with teaching AIDS. Journal Of Education Teaching and Learning, 3(2), 367. http://dx.doi.org/10.26737/jetl.v3i2.796
Bardina, S. (2017). Reconciliation of natural and social: Rethinking Rousseau’s educational theory. Educational Philosophy and Theory, 49(14), 1381-1391. https://www.jstor.org/stable/23767449
Bell, R., & Cui, J. (2023). Addressing progressive educational reforms: Fusing acquisition approaches and participation in Chinese entrepreneurship education. The International Journal of Management Education, 21(1), 100748. https://doi.org/10.1016/j.ijme.2022.100748
Bisai, S., & Singh, S. (2020). Towards a Holistic and Inclusive Pedagogy for Students from Diverse Linguistic Backgrounds. TEFLIN Journal: A Publication on the Teaching & Learning of English, 31(1), 139-161. http://dx.doi.org/10.15639/teflinjournal.v31i1/139-161
Braithwaite, D. W., & Sprague, L. (2021). Conceptual Knowledge, Procedural Knowledge, and Metacognition in Routine and Nonroutine Problem Solving. Cognitive Science, 45(10), e13048. https://doi.org/10.1111/cogs.13048
Bucella, A. (2022). How to help students build deep understanding of math concepts. Retrieved from https://tinyurl.com/35f3dj7r
Bui, P.U., Duong, H.T., Nguyen, P.L., & Le Nguyen, P.T. (2021). The effectiveness of applying realistic mathematics education approach in teaching statistics in grade 7 to students' mathematical skills. Journal of Education and e-Learning Research, 8(2), 185-197. https://doi.org/10.20448/journal.509.2021.82.185.197
Capuno, R., Revalde, H., Etcuban, J.O., Aventuna, M., Medio, G., Demeterio, R.A. (2019). Facilitating learning Mathematics through the use of instructional media. International Electronic Journal of Mathematics Education, 14(3), 677-688. https://doi.org/10.29333/iejme/5785
Chigonga, B. (2020). Formative Assessment in Mathematics Education in the Twenty-First Century. IntechOpen. https://doi.org/10.5772/intechopen.88996
Danquah, P.A. (2017). Conceptual and procedural instruction: Mathematical teaching approaches and strategies in an urban middle school. All Theses and Dissertations, 101. https://dune.une.edu/theses/101
Dekker, T. J. (2020). Teaching critical thinking through engagement with multiplicity. Thinking Skills and Creativity, 37, 100701. https://doi.org/10.1016/j.tsc.2020.100701 Demosthenous, E., & Christou, C. (2021). Mathematics Classroom Assessment: A Framework for Designing Assessment Tasks and Interpreting Students’ Responses. European Journal of
Investigation in Health, Psychology and Education, 11(3), 1088-1106. https://doi.org/10.3390/ejihpe11030081 Dewey, J. (1930). Democracy and education: An introduction to the philosophy of education. New York: Macmillan.
Dewey, J. (1938). The determination of ultimate values or aims through antecedent or a priori speculation or through pragmatic or empirical inquiry. Teachers College Record, 39(10), 471-
485. https://doi.org/10.1177/0161468138039010
Ebby, C.B., Hess, B., Pecora, L., & Valerio, J. (2024). Facilitating collaborative inquiry into practice around artifacts of mathematics teaching, Journal of Mathematics Teacher Education. https://doi.org/10.1007/s10857-024-09649-z
Evans, T., & Dietrich, H. (2022). Inquiry-based mathematics education: a call for reform in tertiary education seems unjustified. STEM Education, 2(3), 221-244. https://doi.org/10.3934/steme.2022014
Flemig, S., & McNair, L. (2022). Nature, Nurture and the Space Between: Lessons from Froebel for the Early Years. Global Education Review, 9(2), 51-66. https://eric.ed.gov/?id=EJ1353648 Garrett, T. (2008). Student-centered classroom management: A case study of three elementary teachers. Journal of Classroom Interaction, 43(1), 34-47.
https://files.eric.ed.gov/fulltext/EJ829018.pdf
Gay, E. (2022). Project-based learning in the mathematics classroom. Honors Theses, 109. https://digitalcommons.assumption.edu/honorstheses/101/
Gillett-Swan, J. (2017). The challenges of online learning: Supporting and engaging the isolated learner. Journal of Learning Design, 10(1), 20-30. https://doi.org/10.5204/jld.v9i3.293 Hwang, S., & Son, T. (2021). Students’ attitude toward mathematics and its relationship with mathematics achievement. Journal of Education and e-Learning Research, 8(3), 272-280.
https://doi.org/10.20448/journal.509.2021.83.272.280
Kang, S. (2016). Spaced repetition promotes efficient and effective learning: Policy implications for instruction, Policy Insights from the Behavioral and Brain Sciences, 3(1). http://dx.doi.org/10.1177/2372732215624708
Karaman, P. (2021). The effect of formative assessment practices on student learning: A meta-analysis study. International Journal of Assessment Tools in Education, 8(4), 801-817. https://doi.org/10.21449/ijate.870300
Kaur, T., & Prendergast, M. (2022). Students’ perceptions of mathematics writing and its impact on their enjoyment and self-confidence. Teaching Mathematics and its Applications: An International Journal of the IMA, 41(1), 1-21. https://doi.org/10.1093/teamat/hrab008
Khadim, M., Afzal, A., & Rafiq, S. (2023). Aligning curriculum with the philosophy of progressivism: A comprehensive analysis. Journal of Social Sciences Development, 2(2), 2959-4405. http://dx.doi.org/10.53664/JSSD/02-02-2023-03-152-162
Labaree, D. F. (2005). Progressivism, schools and schools of education: An American romance. Paedagogica historica, 41(1-2), 275-288. https://doi.org/10.1080/0030923042000335583 Lillard, A. S. (2020). Montessori as an alternative early childhood education. Early Child Development and Care, 191(7–8), 1196–1206. https://doi.org/10.1080/03004430.2020.1832998 Lin, C., & Chang, Y. (2021). A Progressive Three-Stage Teaching Method Using Interactive Classroom Activities to Improve Learning Motivation in Computer Networking Courses.
Sustainability, 14(9), 5191. https://doi.org/10.3390/su14095191
Manandhar, N.K., Pant, B.P., & Dawadi, S.D. (2022). Conceptual and procedural knowledge of students of Nepal in Algebra: A mixed method study. Contemporary Mathematics and Science Education, 3(1), ep22005. https://doi.org/10.30935/conmaths/11723
Mat, N.C., & Jamaludin, K. (2024). Effectiveness of practices and applications of student-centered teaching and learning in primary schools: A systematic literature review. International Journal of Academic Research in Progressive Education and Development, 13(3). http://dx.doi.org/10.6007/IJARPED/v13-i3/21733
McDowell, M. (2023). Blending direct instruction and inquiry-based learning. Retrieved from https://tinyurl.com/ye59hm79
McNair, L. J., & Powell, S. (2021). Friedrich Froebel: a path least trodden. Early Child Development and Care, 191(7-8), 1175-1185. https://doi.org/10.1080/03004430.2020.1803299 Niu, W., Cheng, L., Duan, D., & Zhang, Q. (2022). Impact of Perceived Supportive Learning Environment on Mathematical Achievement: The Mediating Roles of Autonomous Self-
Regulation and Creative Thinking. Frontiers in Psychology, 12, 781594. https://doi.org/10.3389/fpsyg.2021.781594
Noreen, R., & Rana, A.M.K. (2019). Activity-based teaching versus traditional method of teaching in mathematics at elementary level. Bulletin of Education and Research, 41(2), 145-159. https://files.eric.ed.gov/fulltext/EJ1229426.pdf
Pakpahan, F. H., & Saragih, M. (2022). Theory of cognitive development by jean Piaget. Journal of Applied Linguistics, 2(1), 55-60. https://doi.org/10.52622/joal.v2i2.79 Park, J. (2022). Pre-Service Teachers’ Project-Based Instruction with Mathematics Problem-Solving. Education Sciences, 12(8), 526. https://doi.org/10.3390/educsci12080526 Pokhrel, T. (2018). Activity based mathematics instruction: Experiences in addressing the 21st-century skills. Journal of Mathematics Education, 11(1), 46-61.
http://dx.doi.org/10.26711/007577152790020
Siller, H., & Ahmad, S. (2024). Analyzing the impact of collaborative learning approach on grade six students’ mathematics achievement and attitude towards mathematics, EURASIA Journal of Mathematics, Science and Technology Education, 20(2), em2395. https://doi.org/10.29333/ejmste/14153
Singh, A. (2023). Blended learning vs. traditional learning: A detailed overview of the two approaches. Retrieved from https://tinyurl.com/9s7rjuku
Sta, P. (2021). The Critique of the Critical Critique of Critical Pedagogy: Freire, Suchodolski and the materialist pedagogy of emancipation. Critical Education, 12(4). https://doi.org/10.14288/ce.v12i4.186502
Tippett, T.P., & Lee, J.J. (2019). Looking back to move forward: Understanding progressive education in the 21st century. Journal of Applied Learning in Higher Education, 79-98. https://files.eric.ed.gov/fulltext/EJ1285555.pdf
Williams, M. K. (2017). John Dewey in the 21st century. Journal of Inquiry and Action in Education, 9(1), 7. https://digitalcommons.buffalostate.edu/jiae/vol9/iss1/7/
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