The Effect of a Proposed Program Based Guided Inquiry on Algebraic Understanding Among 8th Female Graders of Different Mathematical Self-Concepts
DOI:
https://doi.org/10.35516/Edu.2025.12142Keywords:
Proposed instructional program, guided inquiry, algebraic understanding, mathematical self-conceptAbstract
Objectives: This study aimed to investigate the effect of a proposed instructional program based on guided inquiry on algebraic understanding among eighth-grade female students with different levels of mathematical self-concept.
Methods: The study adopted a quasi-experimental design with two groups, experimental and control. The sample consisted of (50) students who were randomly assigned to the two groups: 26 to the experimental group and 24 to the control group.
Results: The findings revealed a statistically significant difference at (α = 0.05) in algebraic understanding attributable to the teaching method, in favor of the experimental group. However, the study showed no statistically significant difference at (α = 0.05) in algebraic understanding attributable to the interaction between the teaching method and mathematical self-concept.
Conclusion: It appears that the use of guided inquiry-based programs improves algebraic understanding, and that the effect of guided inquiry is independent of students’ level of mathematical self-concept. The study recommends developing training programs for mathematics teachers focused on implementing guided inquiry-based lessons and providing a supportive and safe learning environment that encourages students to inquire, experiment, and collaborate.
Downloads
References
Abu Awda, A. (2014). An introduction to research methods in education and psychology (4th ed.). Irbid: Dar Al-Amal for Publishing and Distribution.
Abu Sayrah, F., Al-Imam, Y., & Al-Badawi, R. (2021). Promoting the development of 8th grade students' algebraic understanding through a mathematical representations-based learning environment. Journal of Mathematics Education, 24(5), 101–131.
Agustina, T., Kismiantini, K., & Radite, R. (2024). The effect of mathematical problem-solving ability and mathematics self-concept on learning achievement. Jurnal Riset Pendidikan Matematika, 11(1), 27–40.
Aida, Z. (2020). The effect of inquiry model on teacher’s self-controlling in class X Virus in SMA private vocational school UISU Medan. International Journal of Trends in Mathematics Education Research, 5(2), 133–140.
Al Farsi, R. A. R. H., Alhosni, K. Z., & Al Ghafri, M. Said. (2024). The Effectiveness of Using the Van de Walle Model of Mathematical Representations in Teaching Mathematics in Algebraic Understanding Among Eighth-Grade Female Students in the Sultanate of Oman. Dirasat: Educational Sciences, 51(4), 20–34.
Al Khudhouri, M. (2024). The effect of an instructional program based on self-regulated learning on acquiring algebraic concepts and mathematical creative thinking among second-cycle basic education students in the Sultanate of Oman with different mathematics self-efficacy (Unpublished doctoral dissertation). Sultan Qaboos University, Muscat, Oman.
Al-Abed, A., & El-Shara’, I. (2012). Approaches to learning mathematics among students, and the impact of mathematical self-concept on them, and their relation to achievement in mathematics. An-Najah University Journal for Research - Humanities, 26(9), 2065–2104.
Almeniana, E., & Avendano, P. (2024). Inquiry-based approach as learning enhancement of quadratic equation: A lesson study. Psychology and Education: A Multidisciplinary Journal, 16(5), 564–569.
Al-Muwalla, O., & El-Shara’, I. (2019). The effect of using an accelerating learning model on the acquisition of mathematical concepts and development of their mathematical self-concept among sixth grade female students in Jordan. The Jordanian Educational Journal, 6(1), 26–48.
Amaral, D., Tomé, A., da Costa, A., & Gonçalves, A. (2023). Factors affecting students' interest in learning mathematics. Journal of Education, Science, and Humanities, 4(1), 57–63.
Arcavi, A., Drijvers, P., & Stacey, K. (2017). Learning and teaching of algebra: Ideas, insights, and activities. Routledge.
Bani Ahmad, A., & Alshaara’, I. (2024). Mathematics teachers’ practices at King Abdullah II Schools of Excellence in Jordan: A qualitative study. The Jordanian Educational Journal, 6(3), 25–49.
Borghans, L., Golsteyn, B., Heckman, J., & Humphries, J. (2016). What grades and achievement tests measure? Proceedings of the National Academy of Sciences, 113(47), 13354–13359.
Brizuela, B., & Earnest, D. (2017). Multiple notational systems and algebraic understandings: The case of the “Best Deal” problem. In Algebra in the early grades (pp. 273–302). Routledge.
Cabuquin, J., & Abocejo, F. (2024). Conceptual and procedural understanding in the division of algebraic fractions. Recoletos Multidisciplinary Research Journal, 12(1), 225–240. https://doi.org/10.32871/rmrj2412.01.17
Cooper, J. (1974). Measuring and analysis of behavioral techniques. Columbus, OH: Charles E. Merrill.
Doz, D., Zakelj, A., & Cotic, M. (2025). Inquiry-based learning in grade 9 mathematics: Assessing outcomes across Gagné’s taxonomy. Educational Studies in Mathematics, 119(2), 305–326. https://doi.org/10.1007/s10649-025-10417-w
Feige, P., Watermann, R., Simpkins, S., Eccles, J., & Oppermann, E. (2025). Impact of mothers' and fathers' math self-concept of ability, child-specific beliefs and behaviors on girls' and boys' math self-concept of ability. PLOS ONE, 20(2), Article e0317837. https://doi.org/10.1371/journal.pone.0317837
Fielding-Wells, J., & Fry, K. (2019). Introducing guided mathematical inquiry in the classroom: Complexities of developing norms of evidence. In G. Hine, S. Blackley, & A. Cooke (Eds.), Proceedings of the 42nd annual conference of the Mathematics Education Research Group of Australasia (pp. 268–275). Mathematics Education Research Group of Australasia.
Goos, M. (2004). Learning mathematics in a classroom community of inquiry. Journal for Research in Mathematics Education, 35(4), 258–291.
Kiss, A. (2022). Complex mathematics education: An integrated and inquiry-based mathematics teaching method. Canadian Journal of Science, Mathematics and Technology Education, 22(4), 758–772.
Koestler, C., Felton-Koestler, M., Bieda, K., & Otten, S. (2013). Connecting the NCTM process standards and the CCSSM practices. Reston, VA: National Council of Teachers of Mathematics.
Kwangpukieo, C., & Sawangboon, T. (2024). Fostering mathematical proficiency and creative thinking skills in 10th-grade students through the 5E inquiry-based learning approach with supplementary media. International Education Studies, 17(3), 1–8.
Magfirotin, E., & Amir, M. (2024). Elementary school students’ conceptual and procedural knowledge in solving fraction problems. Journal Mathematica Kreatif-Inovatif, 15(1), 109–122.
Manandhar, N., Pant, B., & Dawadi, S. (2022). Conceptual and procedural knowledge of students of Nepal in algebra: A mixed method study. Contemporary Mathematics and Science Education, 3(1), ep22005.
Marsh, H., Smith, T., & Barnes, J. (1984, March 27). Multidimensional self-concepts: Relationships with inferred self-concepts and academic achievement (ERIC Document No. ED242786). ERIC. https://eric.ed.gov/?id=ED242786
National Council of Teachers of Mathematics, Commission on Standards for School Mathematics. (1991). Professional standards for teaching mathematics. Reston, VA: Author.
National Council of Teachers of Mathematics. (2000). Algebra standard for grade Pre-K-2. http://standards.nctm.org/document/chapter4/alg.htm
National Council of Teachers of Mathematics. (2020). Standards for the preparation of middle-level mathematics teachers. Reston, VA: National Council of Teachers of Mathematics.
Neill, K. (2021). Meeting their needs: The algebraic knowledge and instructional preferences of students with learning disabilities (Unpublished doctoral dissertation). Hunter College, City University of New York, USA.
Opticia, N., & Khabibah, S. (2022). Development of guided inquiry model mathematics learning tools to practice critical thinking skills for students in linear program materials. International Journal of Trends in Mathematics Education Research, 5(2), 133–140.
Ottmar, E., Lee, J., Vanacore, K., Pradhan, S., Decker-Woodrow, L., & Mason, C. (2023). Data from the efficacy study of From Here to There! A dynamic technology for improving algebraic understanding. Journal of Open Psychology Data, 11(5), 1–15.
Panjaitan, M., & Juandi, D. (2024). Analysis of problems in learning mathematics based on difficulties, errors, and misconceptions in the material of equations and inequality absolute values of one variable: Systematic literature review. KnE Social Sciences, 9(13), 316–324.
Passiatore, Y., Costa, S., Grossi, G., Carrus, G., & Pirchio, S. (2024). Mathematics self-concept moderates the relation between cognitive functions and mathematical skills in primary school children. Psychology of Education, 27(3), 1143–1159.
Pauldine, M., Warren, J., & Swails, J. (2017). Tennessee self-concept scale. In V. Zeigler-Hill & T. Shackelford (Eds.), Encyclopedia of personality and individual differences. Springer. https://doi.org/10.1007/978-3-319-28099-8_93-1
Pedaste, M., Mäeots, M., Siiman, L., de Jong, T., van Riesen, S., Kamp, E., Manoli, C., Zacharia, Z., & Tsourlidaki, E. (2015). Phases of inquiry-based learning: Definitions and the inquiry cycle. Educational Research Review, 14, 47–61.
Pocalana, G., & Robutti, O. (2024). Evolution of teachers’ and researchers’ praxeologies for designing inquiry mathematics tasks: The role of teachers’ beliefs. Journal of Mathematics Teacher Education. Advance online publication. https://doi.org/10.1007/s10857-024-09620-y
Pokhrel, M., & Poudel, M. (2024). Pedagogical practice of mathematics classroom. International Journal on Integrated Education, 7(2), 20–31.
Riegle-Crumb, C., Morton, K., Nguyen, U., & Dasgupta, N. (2019). Inquiry-based instruction in science and mathematics in middle school classrooms: Examining its association with students’ attitudes by gender and race/ethnicity. AERA Open, 5(3), 1–17. https://doi.org/10.1177/2332858419867657
Riordan, J., & Noyce, P. (2001). The impact of two standards-based mathematics curricula on student achievement in Massachusetts. Journal for Research in Mathematics Education, 32(4), 368–398. https://doi.org/10.2307/749700
Ruijia, Z., Talib, O., Burhanuddin, N., & Wenling, L. (2022). The effect of math self-concept and self-efficacy on the math achievement of sixth-grade primary school students: The mediating role of math anxiety. International Journal of Academic Research in Progressive Education and Development, 11(3), 767–778.
Şen, C., Sonay Ay, Z., & Güler, G. (2021). The effectiveness of inquiry-based learning on middle school students’ mathematics reasoning skill. Athens Journal of Education, 8(4), 417–430. https://doi.org/10.30958/aje.8-4-2
Solórzano, J., Rojas, Y., Vargas, C., Rueda, O., & Hernandez Palma, H. (2018). Soft skills and advantages for learning mathematics at an early age. Indian Journal of Science and Technology, 11(45), 1–7. https://doi.org/10.17485/ijst/2018/v11i45/137431
Trends in International Mathematics and Science Study (TIMSS). (2023). Reporting student achievement in mathematics and science. TIMSS & PIRLS International Study Center, Lynch School of Education, Boston College.
Udaybat, Z., & Alshaara’, I. (2024). The reality of algebraic understanding among 10th grade students in Jordan. The Jordanian Educational Journal. Advance online publication.
Ying, C., Osman, S., Kurniati, D., Masykuri, E., Kumar, J., & Hanri, C. (2020). Difficulties that students face when learning algebraic problem-solving. Universal Journal of Educational Research, 8(11), 5405–5413. https://doi.org/10.13189/ujer.2020.081146
Yu, S., Jantharajit, N., & Srikhao, S. (2024). Collaborative inquiry-based instructional model to enhance mathematical analytical thinking and reasoning skills for fourth-grade students. Asian Journal of Education and Training, 10(1), 10–17. https://doi.org/10.20448/edu.v10i1.5174
Yumiati, Y., & Noviyanti, M. (2017). Abilities of reasoning and mathematics representation on guided inquiry learning. Journal of Education and Learning, 11(3), 283–290. https://doi.org/10.11591/edulearn.v11i3.6351
Zain, A., & Rahayu, N. (2023). Systematic literature review: Factors causing low students’ interest in learning mathematics. Logaritma: Jurnal Ilmu-ilmu Pendidikan dan Sains, 11(1), 105–118. https://doi.org/10.24952/logaritma.v11i1.11179
Downloads
Published
How to Cite
Issue
Section
License
Copyright (c) 2025 Dirasat: Educational Sciences

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.
Accepted 2025-08-21
Published 2025-12-01
