The Impact of the Flipped Classroom and the van-Hiele Model Approaches on Secondary School Students’ Geometry Achievement in North Central Nigeria
Keywords:
Achievement, Approaches, Flipped-classroom, Geometry, Students, Van-Hiele ModelAbstract
This study examined the effects of three instructional strategies—the flipped classroom approach (FCA), van Hiele model (VHM), and conventional teaching methods—on secondary school students' geometry achievement in North Central, Nigeria. Three research questions and corresponding hypotheses guided the study. A three-by-two (3x2) quasi-experimental factorial design was employed. The study population comprised 139,168 Senior Secondary School students in North Central Nigeria. Using a multistage sampling technique, 348 students from twelve co-educational secondary schools were selected and assigned to three groups: Experimental Group I (FCA), Experimental Group II (VHM), and a Control Group (conventional lecture method). The experimental groups were taught using the flipped classroom approach and the van Hiele model, respectively, while the control group received conventional instruction on the same geometry topics. Data were collected using a 30-item Geometry Achievement Test (GAT). A reliability coefficient of 0.84 was obtained for the GAT. Data were analyzed using Two-way Analysis of Variance (ANOVA), with hypotheses tested at a 0.05 significance level. The results revealed significant differences in mean achievement scores among students taught using FCA, VHM, and conventional methods. Additionally, an interaction effect was observed between the instructional methods and gender. The findings have significant implications for curriculum development and improving instructional strategies in mathematics education. The study offers valuable insights for educators aiming to enhance geometry learning experiences and outcomes through effective teaching approaches.
References
Abuhmaid, A. M. (2020). The efficiency of online learning environment for implementing project-based learning: Students' Perceptions. International Journal of Higher Education, 9(5), 76-83. Abu-Shanab, E. A., & Shanab, A. A. (2022). The influence of emotional intelligence on technology adoption and the decision-making process. International Journal of Applied Decision Sciences, 15(5), 604-622. Accra-Jaja, F. S., Adolphus, T., & Omeodu, D. M. (2023). Effect of ethnomathematics-based instructional approach on academic performance in plane geometry among senior secondary school students in Rivers State. Adeniji, S., & Baker, P. (2022). Worked-examples instruction versus Van Hiele teaching phases: A demonstration of students' procedural and conceptual understanding. Journal on Mathematics Education.
Alex, J. K., & Mammen, K. J. (2018). The effectiveness of Van Hiele’s phases of learning geometry instruction on students’ geometric thinking. EURASIA Journal of Mathematics, Science and Technology Education, 14(4), 1455-1467. https://doi.org/10.xxxx Atta, S. A., & Brantuo, W. A. (2021). Digitalizing the teaching and learning of mathematics at the senior high schools in Ghana: The Case of flipped classroom approach. American Journal of Education and Practice, 5(3), 29-37. Baah-Duodu, S., Osei-Buabeng, V., Cornelius, E. F., Hegan, J. E., & Nabie, M. J. (2020). Review of literature on teaching and learning geometry and measurement: a case of ghanaian standards based mathematics curriculum. International Journal of Advances in Scientific Research and Engineering, IJASRE (ISSN: 2454-8006), 6(3), 103-124. Bada, S. O., & Olusegun, S. (2015). Constructivism learning theory: A paradigm for teaching and learning. Journal of Research & Method in Education, 5(6), 66-70.
Efiuvwere, R. O., & Fomsi, E. C. (2019). Effects of flipped classroom approach on students' interest in mathematics in Rivers State, Nigeria. African Journal of Educational Research, 23(1), 55-68.
Elian, S. A., & Hamaidi, D. A. (2021). The impact of the flipped classroom strategy on the academic achievement of fourth-grade students in science. Education and Information Technologies, 26(3), 3457-3476. https://doi.org/10.xxxx
Erdogan, T., & Durmus, S. (2009). The effect of the Van Hiele model-based instruction on the creative thinking levels of 6th grade primary school students. Educational Sciences: Theory & Practice, 9(1), 181-194. Garba, A. (2024). Effects of ethno-mathematics instructional approach and problem-based learning strategy on students’interest, achievement and retention in geometry in benue state, nigeria. Turkish journal of computer and mathematics education (turcomat), 15(2), 65-89. González, A., Gavilán-Izquierdo, J. M., Gallego-Sánchez, I., & Puertas, M. L. (2022). A Theoretical analysis of the Validity of the Van Hiele Levels of Reasoning in Graph Theory. Journal on Mathematics Education, 13(3), 515-530. Gravemeijer, K. (2020). A socio-constructivist elaboration of realistic mathematics education. National reflections on the Netherlands didactics of mathematics: Teaching and learning in the context of realistic mathematics education, 217-233. Hafeez, M., Ajmal, F., & Kazmi, Q. A. (2021). Challenges faced by the teachers and students in online learning. International Journal of Innovation, Creativity and Change, 15(2), 325-346.
Harmini, S., Suryadi, D., & Darwis, R. (2022). Implementation of the flipped classroom model in calculus learning: Impact on students’ mathematical understanding. Journal of Educational Technology & Innovation, 6(2), 112-129. Huber, K., Lewalter, D., Biermann, A., & Bannert, M. (2022). Supporting the flipped classroom approach to higher education through a computer-based learning environment. International Journal of Higher Education, 11(6), 154.
Karadag, R., & Keskin, S. (2017). The impact of flipped learning on students’ academic achievement and attitudes towards English. Turkish Online Journal of Distance Education, 18(2), 72-89.
Khadjieva, M., & Khadjikhanova, M. (2019). Flipped classroom approach in teaching mathematics in Uzbekistan: A case study. International Journal of Educational Research, 45(1), 67-80. Khalil, I. A., Al-Aqlaa, M. A., Al-Wahbi, T. A., & Wardat, Y. (2024). Evaluating students’ perception of visual mathematics in secondary geometry education: A mixed methods investigation. International Journal of Information and Education Technology, 14(4), 542-551.
Kumar, S., Stecher, G., Li, M., Knyaz, C., & Tamura, K. (2018). MEGA X: molecular evolutionary genetics analysis across computing platforms. Molecular biology and evolution, 35(6), 1547-1549. Mahlaba, S. C., & Mudaly, V. (2022). Exploring the relationship between commognition and the Van Hiele theory for studying problem-solving discourse in Euclidean geometry education. Pythagoras, 43(1), 1-11.
Mubarok, H., Fauzi, I., & Rahman, F. (2019). Effectiveness of flipped classroom model in teaching English as a Foreign Language (EFL) writing skills. Journal of Language Teaching & Research, 10(3), 689-698. Naidoo, J., & Kapofu, W. (2020). Exploring female learners’ perceptions of learning geometry in mathematics. South African Journal of Education, 40(1), 1-11. Ndanusa, A. M., Ahmed, A. P. H. A., Gimba, R. W., & Abbas, A. M. (2023). Impact of realistic mathematics education and mathematical modelling approaches on geometric achievement and attitude among senior secondary school students in north central, nigeria. Gsj, 11(11).
Olkun, S., Altun, A., & Smith, M. K. (2014). Gender differences in spatial visualization and problem-solving skills among middle school students. Educational Psychology, 34(5), 654-670.
Omile, C. C., Adepoju, O. T., & Nwogu, M. E. (2021). Flipped classroom approach and students’ academic performance in English language in Nigerian secondary schools. Journal of Educational Research and Practice, 15(2), 233-249. Ostriker, J. P., & Mitton, S. (2024). Heart of darkness: unraveling the mysteries of the invisible universe (Vol. 149). Princeton University Press. Teplá, M., Teplý, P., & Šmejkal, P. (2022). Influence of 3D models and animations on students in natural subjects. International Journal of STEM Education, 9(1), 65. Usman, H., Yew, W. T., & Saleh, S. (2020). Effects of Van Hiele’s Phase-based teaching strategy and gender on retention of achievement in geometry among pre-service mathematics teachers’ in Niger State, Nigeria. International Journal of Professional Development, Learners and Learning, 1(2), ep2009.
Usman, K. O., & Ogunlade, O. O. (2020). The effects of Van Hiele instructional model on senior secondary school students’ achievement in geometry in Nigeria. International Journal of Mathematics and Science Education, 12(1), 45-58.
Uy, R. A. (2022). Examining the impact of flipped classroom approach on undergraduate students' academic performance in mathematics. Asian Journal of Mathematics Education, 8(1), 89-107.
Wei, X., Zhang, Y., & Li, J. (2020). Flipped classroom and middle school students’ mathematics achievement: Evidence from China. Educational Research and Reviews, 15(4), 201-215.
West African Examinations Council, WAEC (2014). West African Examinations Council Chief Examiners’ Report. Yohannes, A., & Chen, H. L. (2023). GeoGebra in mathematics education: a systematic review of journal articles published from 2010 to 2020. Interactive Learning Environments, 31(9), 5682-5697.