Comparing the Effectiveness of Inquiry-Based Learning and Direct Instruction on Enhancing Mathematical Thinking in Secondary School Students
Abstract
This study aims to investigate the effect of inquiry-based learning and direct instruction in enhancing mathematical thinking abilities among secondary school students to examine students' attitudes towards inquiry-based learning as a method for improving mathematical thinking abilities. This study adopted the quantitative research method. Eighty-six questionnaires were issued, and 86 were valid, with a validity of 83.5%. The mathematical thinking ability test consists of pre-test and post-test items. There are 43 students from Class 1- control group and 43 students from Class 2- experiment group, Grade 3. This study finds that the achievements of inquiry-based learning are better than direct instruction in improving secondary school students' mathematical thinking abilities; students who learn with inquiry-based learning to improve secondary school students' mathematical thinking abilities have a high level of satisfaction. Based on the analysis results, the following suggestions have been put forward. Teachers should cultivate students' confidence and abilities by guiding more active discussions and cooperation. Teachers should cultivate students' patience and strategic awareness in problem-solving. This teaching method's success relies on teacher guidance, an open classroom atmosphere, and active interaction among students.
Keywords
Full Text:
PDFReferences
Aditomo, A., Goodyear, P., Bliuc, A.-M., & Ellis, R. A. (2013). Inquiry-based learning in higher education: Principal forms, educational objectives, and disciplinary variations. Studies in Higher Education, 38(9), 1239–1258. https://doi.org/10.1080/03075079.2011.616584
Anyanwu, C. C., Ononiwu, P. N., & Isiozor, G. N. (2024). Comparative impact of Whatsapp chatbot technology and Glaser's teaching approaches on the academic performance of education economics students in tertiary institutions in Nigeria. Education and Information Technologies, 29(17), 1-16. DOI:10.1007/s10639-024-12780-2
Aparicio-Ting, F. E., Slater, D. M. & Kurz, E. U. (2019). Inquiry-Based learning (IBL) as a driver of curriculum: A staged approach. New York, 3(455), 44–51. https://doi.org/10.55016/ojs/pplt.v3y2019.53136
Bao, Y., Kehm, B. M. & Ma, Y. (2016). From product to process, the reform of doctoral education in Europe and China. Studies in Higher Education, 43(3), 524–541. https://doi.org/10.1080/03075079.2016.1182481
Buckner, E. & Kim, P. (2013). Integrating technology and pedagogy for inquiry-based learning: The Stanford mobile inquiry-based learning environment (SMILE). Prospects, 44(1), 99–118. https://doi.org/10.1007/s11125-013-9269-7
Capps, D. K., & Crawford, B. A. (2013). Inquiry-Based instruction and teaching about the nature of science: Are they happening? Journal of Science Teacher Education, 24(3), 497–526. https://doi.org/10.1007/s10972-012-9314-z
Chen, H., & Anyanwu, C. C. (2025). AI in education: Evaluating the impact of Moodle AI-powered chatbots and metacognitive teaching approaches on academic performance of higher Institution Business Education students. Education and Information Technologies, 30(1), January 2025 DOI:10.1007/s10639-024-13235-4
Chen, T., Peng, L., Yin, X., Rong, J., Yang, J., & Cong, G. (2020). Analysis of user satisfaction with online education platforms in China during the COVID-19 pandemic. Healthcare, 8(3), 200.
-26. https://doi.org/10.3390/healthcare8030200
Cui, Y., Liu, H. & Zhao, L. (2019). Mother's education and child development: Evidence from the compulsory school reform in China. Journal of Comparative Economics, 47(3), 669–692. https://doi.org/10.1016/j.jce.2019.04.001
Darlington, E. (2014). Contrasts in mathematical challenges in a-level mathematics, further mathematics, and undergraduate mathematics examinations. Teaching Mathematics and Its Applications, 33(4), 213–229. https://doi.org/10.1093/teamat/hru021
Deibl, I., Zumbach, J., Geiger, V. M. & Neuner, C. M. (2018). Constructive alignment in the field of educational psychology: Development and application of a questionnaire for assessing constructive alignment. Psychology Learning & Teaching, 17(3), 293–307. https://doi.org/10.1177/1475725718791050
Dewi, N. R., Arini, F. Y., Suhito, S., & Mulyono, M. (2019). Gender perspective in mathematical thinking ability. ProQuest, 23(333), 1-5. https://doi.org/10.1088/1742-6596/1321/2/022094
Fong, C. J., Warner, J. R., Williams, K. M., Schallert, D. L., Chen, L.-H., Williamson, Z. H., & Lin, S. (2016). Deconstructing constructive criticism: The nature of academic emotions associated with constructive, positive, and negative feedback. Learning and Individual Differences, 49(1), 393–399. https://doi.org/10.1016/j.lindif.2016.05.019
Gopinathan, S., Kaur, A. H., Veeraya, S., & Raman, M. (2022). The role of digital collaboration in student engagement towards enhancing student participation during COVID-19. Sustainability, 14(11), 6844. https://doi.org/10.3390/su14116844
Guo, Y. A., Silver, E. & Yang, Z. (2018). The latest characteristics of mathematics education reform in the compulsory education stage in China. American Journal of Educational Research, 6(9), 1312–1317. https://doi.org/10.12691/education-6-9-11
Heleni, S. & Zulkarnain, Z. (2018). The influence of mathematical thinking ability with modified MOORE method on learning outcomes of basic mathematic II chemical education students. Journal of Educational Sciences, 2(2), 33. https://doi.org/10.31258/jes.2.2.p.33-41
Ibrohim, I., Sutopo, S., Muntholib, M., Prihatnawati, Y., & Mufidah, I. (2020). Implementation of inquiry-based learning (IBL) to improve students' understanding of the nature of science (NOS). 28th Russian Conference on Mathematical Modelling in Natural Sciences, 34(121). https://doi.org/10.1063/5.0000632
JingXuan, G. U. O. (2024). Surviving Turbulent Times: A Close Reading of Manila Shinbun's Portrayal of Chinese Filipino Communities during the Pacific War. Journal of Social Innovation and Knowledge, 1(aop), 1-16.
Koufaris, M. (2022). Applying the technology acceptance model and flow theory to online consumer behavior. Information Systems Research, 13(2), 205–223. https://doi.org/10.1287/isre.13.2.205.83
Mustafa, S., Sari, V. & Baharulla, B. (2019). The implementation of a mathematical problem-based learning model as an effort to understand the high school students' mathematical thinking ability. International Education Studies, 12(2), 117. https://doi.org/10.5539/ies.v12n2p117
Nang, M., Law, M., Lam, L., & Cui, C. (2022). A study of the factors influencing the viewers' satisfaction and cognitive assimilation with live streaming commerce broadcast in Hong Kong. Electronic Commerce Research, 23(33). https://doi.org/10.1007/s10660-022-09656-3
Nurmanita, N., Siagian, P., & Sitompul, P. (2019). Development of learning device through problem-based learning model assisted by Geogebra to improve students' critical mathematical thinking ability. Journal of Mathematical Sciences and Applications, 7(1), 1–9. https://doi.org/10.12691/jmsa-7-1-1
Oliver, M. C., Romero-Ariza, M., Quesada, A., Abril, A. M., & Sorensen, P. (2019). Highly recommended and poorly used: English and Spanish science teachers' views of inquiry-based learning (IBL) and its enactment. EURASIA Journal of Mathematics, Science and Technology Education, 16(1), 1-16. https://doi.org/10.29333/ejmste/109658
Rasi, P. (2015). Orchestrating inquiry learning. Interdisciplinary Journal of Problem-Based Learning, 9(1), 1-5. https://doi.org/10.7771/1541-5015.1542
Ritter, S., Santoro, A. & Botvinick, M. M. (2017). Cognitive psychology for deep neural networks: A shape bias case study. International Conference on Machine Learning, 34(44), 2940–2949.
Schmidt, S. J. (1987). Towards a constructivist theory of media genre. Poetics, 16(5), 371–395. https://doi.org/10.1016/0304-422x(87)90028-3
Shogren, K. A., Lopez, S. J., Wehmeyer, M. L., Little, T. D., & Pressgrove, C. L. (2006). The role of positive psychology constructs in predicting life satisfaction in adolescents with and without cognitive disabilities: An exploratory study. The Journal of Positive Psychology, 1(1), 37–52. https://doi.org/10.1080/17439760500373174
Sholehawati, R. & Wahyudin, W. (2019). Investigation of critical mathematical thinking ability, visual thinking and self-efficacy students in trigonometry. Journal of Physics: Conference Series, 1157(45), 1-8, 032130.
Singh, A. (2024). Water Sources in the Buddhist Ecology: Looking through the Engaged Tradition. Journal of Social Innovation and Knowledge, 1(aop), 1-23.
Susilawati, W., Karyadinata, R. & Sugilar, H. (2019). Cognitive conflict strategy to the improvement of students' lateral mathematical thinking ability. Journal of Physics: Conference Series, 1175(34), 012174. https://doi.org/10.1088/1742-6596/1175/1/012174
Tay, D. (2016). The nuances of metaphor theory for constructivist psychotherapy. Journal of Constructivist Psychology, 30(2), 165–181. https://doi.org/10.1080/10720537.2016.1161571
Tian, Z., Zhang, K., Zhang, T., Dai, X. & Lin, J. (2019). Application of amusable cognitive assimilation theory in teaching/learning medical biochemistry and molecular biology. Biochemistry and Molecular Biology Education, 48(3), 202–219. https://doi.org/10.1002/bmb.21327
Watson, J. (2000). Constructive instruction and learning difficulties. Support for Learning, 15(3), 134–140. https://doi.org/10.1111/1467-9604.00162
Zander, R. H. (2010). Structuralism in phylogenetic systematics. Biological Theory, 5(4), 383–394. https://doi.org/10.1162/biot_a_00063
DOI: https://doi.org/10.7575/aiac.ijels.v.13n.2p.649
Refbacks
- There are currently no refbacks.
License URL: https://creativecommons.org/licenses/by/4.0/
2013-2025 (CC-BY) Australian International Academic Centre PTY.LTD.
International Journal of Education and Literacy Studies
You may require to add the 'aiac.org.au' domain to your e-mail 'safe list’ If you do not receive e-mail in your 'inbox'. Otherwise, you may check your 'Spam mail' or 'junk mail' folders.