The Interactive Learning Revolution: A Systematic Review on Balancing Memorization and Conceptual Understanding in Mathematics
DOI:
https://doi.org/10.58418/ijeqqr.v5i1.176Keywords:
Interactive Learning Revolution, Conceptual Understanding, Rote Memorization, Mathematics Education, Systematic Literature ReviewAbstract
Amid growing emphasis on the interactive learning revolution and active student engagement, this study examines the relationship between rote memorization and conceptual understanding in mathematics education. The study is theoretically grounded in David Ausubel’s Meaningful Learning Theory, which suggests that meaningful learning occurs when new knowledge is connected to learners’ existing cognitive structures. In the context of ongoing curriculum reforms and learner-centred education initiatives in South Africa, understanding this instructional relationship is crucial for shifting traditional classrooms toward interactive practices. Following the Preferred Reporting Items for Systematic Reviews and Meta-Analyses (PRISMA) guidelines, a systematic literature review was conducted on empirical studies published between 2015 and 2025. A total of 36 studies were identified and synthesized using thematic analysis. The findings indicate that while memorization supports short-term recall and procedural fluency, its isolated use may limit higher-order problem-solving and active learner interaction. In contrast, conceptual approaches promote deeper understanding, mathematical reasoning, and longer-term knowledge retention. The review further suggests that a genuine instructional revolution is achieved through a balanced integration of memorization and conceptual learning, where procedural fluency supports interactive, concept-based exploration. In addition, the findings highlight the role of teacher leadership in adapting these interactive approaches to diverse and resource-constrained learning environments. These insights have implications for curriculum development, mathematics teaching practices, and teacher professional development.
References
Abah, J. A. (2020). An appeal in the case involving conventional teaching: Emphasizing the transformation to enhanced conventional teaching in mathematics education. VillageMath Educational Review (VER), 1(1), 1–10. https://hal.science/hal-02771716/
Adeleke, J. O., Balogun, H. A., & Ayanwale, M. A. (2025). Assessment of content and cognitive dimensions of learners’ mathematics performance. STEM Education, 5(3), 383–400. https://doi.org/10.3934/steme.2025019
Al-Thani, G. (2024). Comparative Analysis of Stakeholder Integration in Education Policy Making: Case Studies of Singapore and Finland. Societies, 14(7), 104. https://doi.org/10.3390/soc14070104
Alam, A., & Mohanty, A. (2024). Unveiling the complexities of ‘Abstract Algebra’ in University Mathematics Education (UME): fostering ‘Conceptualization and Understanding’ through advanced pedagogical approaches. Cogent Education, 11(1). https://doi.org/10.1080/2331186X.2024.2355400
Alqawas, M. M., & Alhadad, S. Y. (2024). A Proposed Model for Balancing between Conceptual and Procedural Knowledge when Teaching Mathematics. Educational Journal, 38(152), 365–396. https://doi.org/10.34120/joe.v38i152.253
Alreshidi, N. A. K. (2023). Enhancing topic-specific prior knowledge of students impacts their outcomes in mathematics. Frontiers in Education, 8. https://doi.org/10.3389/feduc.2023.1050468
Asrowi, A., Maulana, I., Budiarto, M. K., & Qodr, T. S. (2025). Assessing critical thinking skills in vocational school students during hybrid learning. Journal of Education and Learning (EduLearn), 19(1), 232–240. https://doi.org/10.11591/edulearn.v19i1.21754
Ayeh, I. G. (2025). Students’ mathematics conceptual challenges: Exploring students’ thinking, understanding, and misconceptions in functions and graphs. European Journal of Science and Mathematics Education, 13(3), 191–206. https://doi.org/10.30935/scimath/16596
Bani Irshid, M. M., Khasawneh, A. A., & Al-Barakat, A. A. (2023). The effect of conceptual understanding principles-based training program on enhancement of pedagogical knowledge of mathematics teachers. Eurasia Journal of Mathematics, Science and Technology Education, 19(6), em2277. https://doi.org/10.29333/ejmste/13215
Bantwini, B. D., & Moorosi, P. (2023). Caught between educational accountability reforms, compliancy and political interference: perspectives of school principals in South Africa. School Leadership & Management, 43(3), 261–283. https://doi.org/10.1080/13632434.2023.2186847
Barbieri, C. A., & Rodrigues, J. (2025). Leveraging cognitive load theory to support students with mathematics difficulty. Educational Psychologist, 60(3), 208–232. https://doi.org/10.1080/00461520.2025.2486138
Bertram, C. A., Mthiyane, C. C. N., & Naidoo, J. (2021). The tension between curriculum coverage and quality learning: The experiences of South African teachers. International Journal of Educational Development, 81, 102353. https://doi.org/10.1016/j.ijedudev.2021.102353
Bezuidenhout, H. S., Nemati, P., Khani, H. B., Barreto, C., Henning, E., & Soltanlou, M. (2026). Neurocognitive mechanisms of mathematics vocabulary processing in L1 and L2 in South African first graders: a functional near-infrared spectroscopy study. Neurophotonics, 13(S1). https://doi.org/10.1117/1.NPh.13.S1.S13005
Bokhove, C. (2022). Are instructional practices different between East and West? An analysis of Grade 8 TIMSS 2019 data. Asian Journal for Mathematics Education, 1(2), 221–241. https://doi.org/10.1177/27527263221109752
Bresgi, L., Alexander, D. L. M., & Seabi, J. (2017). The predictive relationships between working memory skills within the spatial and verbal domains and mathematical performance of Grade 2 South African learners. International Journal of Educational Research, 81, 1–10. https://doi.org/10.1016/j.ijer.2016.10.004
Bryce, T. G. K., & Blown, E. J. (2024). Ausubel’s meaningful learning re-visited. Current Psychology, 43(5), 4579–4598. https://doi.org/10.1007/s12144-023-04440-4
Chirove, M., Mogari, D., & Ugorji, O. (2022). Students’ mathematics-related belief systems and their strategies for solving non-routine mathematical problems. Waikato Journal of Education, 27(3), 101–121. https://doi.org/10.15663/wje.v27i3.822
Cho, K. W., & Kongo, D. (2024). The Relations Among Math Anxiety, Math Self-Construct, and Math Achievement in Older and Underserved Minority Students. The Journal of Continuing Higher Education, 72(2), 204–220. https://doi.org/10.1080/07377363.2023.2218580
Choi, K. M., Mun, J., & Hand, B. (2026). Bridging Reasoning in Mathematics and Science: a Document Analysis of Applying and Reasoning in the TIMSS Assessment Framework and the Case for Utilization of Resources. Educational Psychology Review, 38(1), 22. https://doi.org/10.1007/s10648-025-10115-2
Chuene, D. M., & Teane, F. M. (2024). Resource inadequacy as a barrier to effective curriculum implementation by life sciences teachers in South Africa. South African Journal of Education, 44(2), 1–10. https://doi.org/10.15700/saje.v44n2a2387
Cirneanu, A.-L., & Moldoveanu, C.-E. (2024). Use of Digital Technology in Integrated Mathematics Education. Applied System Innovation, 7(4), 66. https://doi.org/10.3390/asi7040066
Cotič, M., Doz, D., Jenko, M., & Žakelj, A. (2024). Mathematics education: What was it, what is it, and what will it be? International Electronic Journal of Mathematics Education, 19(3), em0783. https://doi.org/10.29333/iejme/14663
Danlami, K. B., Zakariya, Y. F., Balarabe, B., Alotaibi, S. B., & Alrosaa, T. M. (2025). Improving students’ performance in geometry: an empirical evidence of the effectiveness of brainstorming learning strategy. Frontiers in Psychology, 16. https://doi.org/10.3389/fpsyg.2025.1577912
Dhlamini, J. J. (2016). Enhancing learners’ problem solving performance in mathematics: A cognitive load perspective. European Journal of STEM Education, 1(1), 27–36. https://doi.org/10.20897/lectito.201604
Egara, F. O., & Mosimege, M. (2024). Effect of blended learning approach on secondary school learners’ mathematics achievement and retention. Education and Information Technologies, 29(15), 19863–19888. https://doi.org/10.1007/s10639-024-12651-w
Elhilal, A. (2025). Digital conceptual mapping for enhancing mathematical concept formation and creative mathematical problem-solving through cognitive flexibility skills: a mixed methods study. Cogent Education, 12(1). https://doi.org/10.1080/2331186X.2025.2494945
Elliott, R., & Lesseig, K. (2023). Productive Disciplinary Engagement as a Framework to Support Mathematics Teacher Leaders. Investigations in Mathematics Learning, 15(1), 29–49. https://doi.org/10.1080/19477503.2022.2139095
Engelbrecht, J., & Borba, M. C. (2024). Recent developments in using digital technology in mathematics education. ZDM – Mathematics Education, 56(2), 281–292. https://doi.org/10.1007/s11858-023-01530-2
Fair, D. L., & Stott, A. E. (2021). A Longitudinal Case Study of Mathematics and Mathematical Literacy Achievement of Boys at a High Quintile School in South Africa. African Journal of Research in Mathematics, Science and Technology Education, 25(2), 137–147. https://doi.org/10.1080/18117295.2021.1932331
Filippello, P., Buzzai, C., Sorrenti, L., Costa, S., Abramo, A., & Wang, K. T. (2021). Italian version of the Family Almost Perfect Scale: Psychometric characteristics and relationships with academic engagement, self-esteem, and personal perfectionism. Applied Developmental Science, 25(4), 351–363. https://doi.org/10.1080/10888691.2019.1647106
Gallagher, M. A., Parsons, S. A., & Vaughn, M. (2022). Adaptive teaching in mathematics: a review of the literature. Educational Review, 74(2), 298–320. https://doi.org/10.1080/00131911.2020.1722065
Gold, N. O., Coovadia, H., & Mahmood, T. (2025). Critical thinking development in a Quality Matters-based online learning: student insights from a South African higher education context. Frontiers in Education, 10. https://doi.org/10.3389/feduc.2025.1642266
Goto, O. (2026). Decolonising Minds, Empowering Learners: Critical Pedagogy and Twenty-First-Century Skills in South Africa. In O. Goto (Ed.), Skills Development for Employability and Life for the 21st Century: A Southern African Case Study (pp. 109–143). Springer Nature Singapore. https://doi.org/10.1007/978-981-95-5993-0_5
Graham, M. A. (2023). Overcrowded Classrooms and their Association with South African Learners’ Mathematics Achievement. African Journal of Research in Mathematics, Science and Technology Education, 27(2), 169–179. https://doi.org/10.1080/18117295.2023.2244217
Heleta, S., & Chasi, S. (2023). Curriculum Decolonization and Internationalization. Journal of International Students, 14(2), 75–90. https://doi.org/10.32674/jis.v14i2.6383
Hendriks, M., & Cruywagen, S. (2024). Mathematics in South Africa’s Intermediate Phase: Music integration for enhanced learning. South African Journal of Childhood Education, 14(1). https://doi.org/10.4102/SAJCE.v14i1.1535
Hussein, Y. F., & Csíkos, C. (2023). The effect of teaching conceptual knowledge on students’ achievement, anxiety about, and attitude toward mathematics. Eurasia Journal of Mathematics, Science and Technology Education, 19(2), em2226. https://doi.org/10.29333/ejmste/12938
Inglis, M., & Foster, C. (2018). Five Decades of Mathematics Education Research. Journal for Research in Mathematics Education, 49(4), 462–500. https://doi.org/10.5951/jresematheduc.49.4.0462
Jäder, J., & Johansson, H. (2025). Exploring students’ conceptual understanding through mathematical problem solving: students’ use of and shift between different representations of rational numbers. Research in Mathematics Education, 1–18. https://doi.org/10.1080/14794802.2025.2456840
Jita, L. C., & Badmus, O. T. (2025). Understanding the landscape of mathematics teachers’ professional development in south africa. Prometeica - Revista de Filosofía y Ciencias, 32, e16367. https://doi.org/10.34024/prometeica.2025.32.16367
Karim, S. (2026). Social Cohesion Through Education: A Case Study of Singapore’s National Education System. Education Sciences, 16(1), 81. https://doi.org/10.3390/educsci16010081
Kobak Demir, M. (2026). Misconceptions of Mathematics Teacher Candidates on STEM: What Lies Under the Cognitive Structure. Sage Open, 16(1). https://doi.org/10.1177/21582440261417701
Kunnath, A. J., & Botes, W. (2025). Transforming science education with artificial intelligence: Enhancing inquiry-based learning and critical thinking in South African science classrooms. Eurasia Journal of Mathematics, Science and Technology Education, 21(6), em2655. https://doi.org/10.29333/ejmste/16532
Lehmann, T. H. (2025). Examining the interaction of computational thinking skills and heuristics in mathematical problem solving. Research in Mathematics Education, 27(2), 269–290. https://doi.org/10.1080/14794802.2025.2460460
Levin, I., Semenov, A. L., & Gorsky, M. (2025). Smart Learning in the 21st Century: Advancing Constructionism Across Three Digital Epochs. Education Sciences, 15(1), 45. https://doi.org/10.3390/educsci15010045
Lin, T.-H., Riccomini, P. J., & Liang, Z. (2025). Mathematical Error Patterns of Students With Mathematics Difficulty: A Systematic Review. Learning Disability Quarterly, 48(4), 242–256. https://doi.org/10.1177/07319487241310873
Liza Ordoñez, S. E., Aguinaga Doig, S. G., Campos-Ugaz, O. A., Hernández, R. M., Bravo Larrea, Y. M., Aguinaga Vasquez, S. J., & Luy-Montejo, C. (2024). Didactic Use of the Publisher Processor to Enhance Meaningful Learning in Peruvian Secondary School Students. Journal of Curriculum and Teaching, 13(1), 298. https://doi.org/10.5430/jct.v13n1p298
Machaba, F. M., Phokwane, T., & Kodisang, S. (2026). Grade 9 mathematics teachers’ strategies to address mathematical proficiency in their teaching of linear equations. Eurasia Journal of Mathematics, Science and Technology Education, 22(4), em2815. https://doi.org/10.29333/ejmste/18262
Machisi, E., & Manamela, M. G. (2026). Algebra errors and misconceptions: A teaching and learning opportunity. Contemporary Mathematics and Science Education, 7(1), ep26001. https://doi.org/10.30935/conmaths/17739
Mahlangu, T. (2021). The role of mathematical tasks in providing Grade 10 learners an opportunity to learn trigonometry. University of Pretoria (South Africa).
Makoelle, T. M., & Makhalemele, T. (2020). Teacher leadership in South African schools. International Journal of Management in Education, 14(3), 293. https://doi.org/10.1504/IJMIE.2020.107056
Marzi, G., Balzano, M., Caputo, A., & Pellegrini, M. M. (2025). Guidelines for Bibliometric‐Systematic Literature Reviews: 10 steps to combine analysis, synthesis and theory development. International Journal of Management Reviews, 27(1), 81–103. https://doi.org/10.1111/ijmr.12381
Mbhiza, H. W., & Zondo, A. (2025). Teachers’ interpretations of questioning practices to enhance critical thinking in Grade 10 financial mathematics. Al-Jabar : Jurnal Pendidikan Matematika, 16(2), 703–720. https://doi.org/10.24042/ajpm.v16i2.28704
Mdlulwa, N., & Sefotho, M. M. (2025). Empowered teachers, stronger schools: a collaborative approach to equity and inclusion in South Africa. Cogent Education, 12(1). https://doi.org/10.1080/2331186X.2025.2590916
Mestry, R. (2025). The role of departmental heads in curriculum transformation: Implications for the provision of quality education in South African public schools. South African Journal of Education, 45(4), 1. https://doi.org/10.15700/saje.v45n4a2701
Mohamed, N., & Saleh, S. (2025). Brainwaves and higher-order thinking: An EEG study of cognitive engagement in mathematics tasks. International Electronic Journal of Mathematics Education, 20(4), em0852. https://doi.org/10.29333/iejme/16889
Mokgwathi, M. S. (2026). Closing the Gap in Early Mathematics: Domain and Cognitive Insights from TIMSS 2023 in South Africa and Singapore. F1000Research, 14, 1209. https://doi.org/10.12688/f1000research.172015.3
Mokgwathi, M. S., Maloka, M. P., & Graham, M. A. (2025). The association between early childhood education and grade 5 science achievement: insights from TIMSS 2023 in South Africa. Cogent Social Sciences, 11(1). https://doi.org/10.1080/23311886.2025.2586369
Moyo, S. E., Combrinck, C., & Van Staden, S. (2022). Evaluating the Impact of Formative Assessment Intervention and Experiences of the Standard 4 Teachers in Teaching Higher-Order-Thinking Skills in Mathematics. Frontiers in Education, 7. https://doi.org/10.3389/feduc.2022.771437
Mpilwenhle Zondi, S., Ramaila, S., & Maviri, L. (2025). Pedagogical Strategies Employed by Teachers in Township Schools for Teaching Meiosis and Genetics with Improvised Resources. Journal of Teaching and Learning, 19(1), 236–260. https://doi.org/10.22329/jtl.v19i1.8328
Muyambi, G. C., & Ahiaku, P. K. A. (2025). Inequalities and education in South Africa: A scoping review. International Journal of Educational Research Open, 8, 100408. https://doi.org/10.1016/j.ijedro.2024.100408
Mwadzaangati, L., Adler, J., & Kazima, M. (2022). Mathematics Mediational Means and Learner Centredness: Insights from ‘traditional’ Malawian Secondary School Geometry Lessons. African Journal of Research in Mathematics, Science and Technology Education, 26(1), 1–12. https://doi.org/10.1080/18117295.2022.2055910
Ncube, M., & Luneta, K. (2025). Addressing mathematics learning challenges through concept-based instruction. LUMAT: International Journal on Math, Science and Technology Education, 12(4), 7. https://doi.org/10.31129/LUMAT.12.4.2319
Ntsanwisi, S. (2024). Bridging Gaps in STEM Education: The Case for Dedicated Learning Centres in South African Townships and Rural Areas. European Journal of STEM Education, 9(1), 15. https://doi.org/10.20897/ejsteme/15481
Nyamunda, J. (2024). Assessing educational outcomes in South Africa relative to economically comparable countries: A comparative analysis. South African Journal of Education, 44(Supplement 1), S1–S12. https://doi.org/10.15700/saje.v44ns1a2220
Östergren, R., Träff, U., Elofsson, J., Hesser, H., & Samuelsson, J. (2024). Memorization versus conceptual practice with number combinations: their effects on second graders with different types of mathematical learning difficulties. Scandinavian Journal of Educational Research, 68(6), 1155–1170. https://doi.org/10.1080/00313831.2023.2211983
Page, M. J., Moher, D., & McKenzie, J. E. (2022). Introduction to PRISMA 2020 and implications for research synthesis methodologists. Research Synthesis Methods, 13(2), 156–163. https://doi.org/10.1002/jrsm.1535
Polman, J., Hornstra, L., & Volman, M. (2021). The meaning of meaningful learning in mathematics in upper-primary education. Learning Environments Research, 24(3), 469–486. https://doi.org/10.1007/s10984-020-09337-8
Reddy, V., Winnaar, L., Arends, F., Juan, A., Harvey, J., Hannan, S., & Isdale, K. (2022). The South African TIMSS 2019 Grade 9 results: Building achievement and bridging achievement gaps. HSRC Press. https://repository.hsrc.ac.za/handle/20.500.11910/19287
Robbins, J. K., Herzog, L., King, K., Snyder, A. W., Sume, N., & Gangiah, J. (2024). Math Matters: From the Basics to Problem Solving in a South African Township. Behavior and Social Issues, 33(1), 364–390. https://doi.org/10.1007/s42822-024-00158-5
Schaathun, H. G. (2022). On Understanding in Mathematics. Teaching Mathematics and Its Applications: An International Journal of the IMA, 41(4), 318–328. https://doi.org/10.1093/teamat/hrac016
Sexton, S. S. (2025). Meaningful Learning—David P. Ausubel. In B. Akpan & T. J. Kennedy (Eds.), Science Education in Theory and Practice: An Introductory Guide to Learning Theory (pp. 157–171). Springer Nature Switzerland. https://doi.org/10.1007/978-3-031-81351-1_10
Shawan, M., Osman, S., & Abu, M. S. (2021). Difficulties in Solving Non-Routine Problems: Preliminary Analysis and Results. ASM Science Journal, 16, 1–14. https://doi.org/10.32802/asmscj.2021.800
Shula, M., van Wyk, C., & Heystek, J. (2022). School leadership practice at faith-based schools through a servant leadership lens. South African Journal of Education, 42(4), 1–10. https://doi.org/10.15700/saje.v42n4a2138
Smith, P. S., Hayes, M. L., & Lyons, K. M. (2017). The ecology of instructional teacher leadership. The Journal of Mathematical Behavior, 46, 267–288. https://doi.org/10.1016/j.jmathb.2016.12.005
Song, C., Shin, S.-Y., & Shin, K.-S. (2024). Implementing the Dynamic Feedback-Driven Learning Optimization Framework: A Machine Learning Approach to Personalize Educational Pathways. Applied Sciences, 14(2), 916. https://doi.org/10.3390/app14020916
Sortwell, A., Gkintoni, E., Díaz-García, J., Ellerton, P., Ferraz, R., & Hine, G. (2026). Beyond Cognitive Load Theory: Why Learning Needs More than Memory Management. Brain Sciences, 16(1), 109. https://doi.org/10.3390/brainsci16010109
Tall, D. (2023). Long-Term Principles for Meaningful Teaching and Learning of Mathematics. In S. Stewart (Ed.), Mathematicians’ Reflections on Teaching: A Symbiosis with Mathematics Education Theories (pp. 217–252). Springer International Publishing. https://doi.org/10.1007/978-3-031-34295-0_12
Taylor, N. (2019). Inequalities in Teacher Knowledge in South Africa. In N. Spaull & J. D. Jansen (Eds.), South African Schooling: The Enigma of Inequality: A Study of the Present Situation and Future Possibilities (pp. 263–282). Springer International Publishing. https://doi.org/10.1007/978-3-030-18811-5_14
Tibane, C. C., Neo, M.-T. O., Phanuel, M. T., & Peter, M. (2024). Examining the Effect of Resource Constraints on Teaching and Learning of Grade 12 Mathematics in Gauteng Community Learning Centres. International Journal of Learning, Teaching and Educational Research, 23(10), 453–474. https://doi.org/10.26803/ijlter.23.10.22
Van Der Vyver, C., Fuller, M., & Khumalo, J. (2021). Teacher Leadership in the South African Context: Areas, Attributes and Cultural Responsiveness. Research in Educational Administration and Leadership, 6(1). https://doi.org/10.30828/real/2021.1.5
Wang, Q., & Abdullah, A. H. (2024). Enhancing Students’ Critical Thinking Through Mathematics in Higher Education: A Systemic Review. Sage Open, 14(3). https://doi.org/10.1177/21582440241275651
Wijesekera, H. D., & Hameed, R. (2026). From rote learning to critical inquiry: fostering higher order thinking skills through collaborative questioning in a rural secondary English-medium science classroom. Thinking Skills and Creativity, 60, 102093. https://doi.org/10.1016/j.tsc.2025.102093
Wright, P., Fejzo, A., & Carvalho, T. (2022). Progressive pedagogies made visible: Implications for equitable mathematics teaching. The Curriculum Journal, 33(1), 25–41. https://doi.org/10.1002/curj.122
Wyble, B., Tam, J., Deal, I., & Bowman, H. (2025). Understanding the flexibility of working memory: Compositionality, generative processing, anchors and holistic representations. Neuroscience & Biobehavioral Reviews, 179, 106387. https://doi.org/10.1016/j.neubiorev.2025.106387
Yang, D.-C., & Sianturi, I. A. J. (2021). Sixth Grade Students’ Performance, Misconception, and Confidence on a Three-Tier Number Sense Test. International Journal of Science and Mathematics Education, 19(2), 355–375. https://doi.org/10.1007/s10763-020-10051-3
Zou, L., Zhang, Z., Mavilidi, M., Chen, Y., Herold, F., Ouwehand, K., & Paas, F. (2025). The synergy of embodied cognition and cognitive load theory for optimized learning. Nature Human Behaviour, 9(5), 877–885. https://doi.org/10.1038/s41562-025-02152-2
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