Presenting the Model of Influencing Factors on Mathematical Progress-Structural Equation Model Approach

Subject Areas : International Journal of Mathematical Modelling & Computations

Arezoo Hajian ¹ , Mohammad Ali Fariborzi Araghi ^{2 *} , Amin Mahmoodi Kebria ³

1 - Department of Mathematics and Statistics, Central Tehran Branch, Islamic Azad University, Tehran, Iran
2 - Department of Mathematics, Islamic Azad university, Central Tehran branch, Tehran, Iran.
3 - Department of Mathematics and Statistics, Faculty of Science, Islamic Azad University Central Tehran Branch, Tehran, Iran

Received: 2023-12-07 Accepted : 2024-03-03 Published : 2024-03-05

Keywords: Model presentation, Mathematics, Structural equations, Academic achievement.,

Abstract :

Considering the challenges that exist in improving mathematics education and
students' mathematical progress, the issue that is raised is what factors affect
students' mathematical progress. The purpose of this research is to investigate the
factors affecting maths performance and provide a model of students' mathematical
progress. To evaluate the conceptual model of the research, first, by using a
qualitative approach, the factors affecting mathematical progress were identified.
Then, by designing a researcher-made questionnaire and considering students'
maths scores as a measure of mathematical progress, the necessary data were
collected by distributing the questionnaire amongst 384 students of the secondary
level in schools in 22 districts of Tehran. In the following, after the descriptive
analysis and the validity and reliability test of the questionnaires, the data were
analysed using structural equation modelling. The results of the research showed
that at 95% confidence level, the learning environment variables, teachers'
emotional support, teachers' teaching methods, students' interest, students'
motivation and values, the quality and initiative of learning and students' selfefficacy have a positive and significant effect on their mathematical progress. Also,
the results of the research showed that family income and parents' education have
a positive and significant effect on students' mathematical progress.

References:

Bartley, S. R., & Ingram, N. (2018). Parental modelling of mathematical affect: Self-efficacy and emotional arousal. Mathematics Education Research Journal, 30, 277-297. DOI: 10.1007/s13394-017-0233-3

Berg, D. A., Ingram, N., Asil, M., Ward, J., & Smith, J. K. (2024). Self-efficacy in teaching mathematics and the use of effective pedagogical practices in New Zealand primary schools. Journal of Mathematics Teacher Education, 1-21. DOI: 10.1007/s10857-024-09623-9

Byiringiro, E. (2024). Identifying Factors Affecting the Mathematics Achievement of Students for Better Instructional Design in UK. World Journal of Educational Research, 11(1), 18-28. http://dx.doi.org/10.22158/wjer.v11n1p18

Czocher, J. A. (2017). How can emphasizing mathematical modeling principles benefit students in a traditionally taught differential equations course?. The Journal of Mathematical Behavior, 45, 78-94. DOI: 10.1016/j.jmathb.2016.10.006

Daucourt, M. C., Napoli, A. R., Quinn, J. M., Wood, S. G., & Hart, S. A. (2021). The home math environment and math achievement: A meta-analysis. Psychological Bulletin, 147(6), 565.‏ https://doi.org/10.1037/bul0000330

Downton, A., Giumelli, K., McHugh, B., & Stenning, P. (2023). Impact of teachers’ professional learning on students’ learning of multiplicative thinking. Mathematics Education Research Journal, 35(3), 659-687. https://doi.org/10.1007/s13394-021-00408-4.

Gomes, C. M. A., Fleith, D. D. S., Marinho-Araujo, C. M., & Rabelo, M. L. (2021). Predictors of students’ mathematics achievement in secondary education. Psicologia: Teoria e Pesquisa, 36.‏ https://www.scielo.br/j/ptp/a/nmFpbxGtkNVM9x96ZSdLLnr/?format=pdf&lang=en

Gopal, R., Singh, V., & Aggarwal, A. (2021). Impact of online classes on the satisfaction and performance of students during the pandemic period of COVID 19. Education and Information Technologies, 26(6), 6923-6947.‏ https://doi.org/10.1007/s10639-021-10523-1

Hair, J. F., Ringle, C. M., & Sarstedt, M. (2011). PLS-SEM: Indeed a silver bullet. Journal of Marketing theory and Practice, 19(2), 139-152. http://dx.doi.org/10.2753/MTP1069-6679190202

Hwang, J., & Ham, Y. (2021). Relationships between self-efficacy and achievement moderated by teacher interaction: an international comparison study. Mathematics Education Research Journal, 33(1), 135-162. DOI: 10.1007/s13394-019-00280-3.

Jacques, S., & Lequeu, T. (2020). The Attractiveness of Reversing Teaching Forms; Feedback on an Electrical Engineering Course. International Journal of Engineering Pedagogy (iJEP), 10(3), 21-34.‏ http://dx.doi.org/10.3991/ijep.v10i3.12361

Jamshidi Badrbani, Mehrangiz, Askari, Roghayeh, & BAGHERI, MARYAM. (2020). How Could I Improve the Level of Interest, Motivation and Progress of Sixth Grade Students in Mathematics by Using Active Methods and Creating Applied Learning Opportunities in Teaching and Learning?. JOURNAL OF TEACHERS PROFESSIONAL DEVELOPMENT, 5(1 (15)), 15-40. SID. https://sid.ir/paper/375646/en

Kauffman, H. (2015). A review of predictive factors of student success in and satisfaction with online learning. Research in Learning Technology, 23, 1-13. ‏ http://dx.doi.org/10.3402/rlt.v23.26507

Kollosche, D., & Meyerhöfer, W. (2021). COVID-19, mathematics education, and the evaluation of expert knowledge. Educational Studies in Mathematics, 108(1), 401-417.‏ doi: 10.1007/s10649-021-10097-2

Laging, A., & Voßkamp, R. (2017). Determinants of maths performance of first-year business administration and economics students. International Journal of Research in Undergraduate Mathematics Education, 3, 108-142.‏ DOI: 10.1007/s40753-016-0048-8

Lee, M. Y., & Cross Francis, D. (2018). Investigating the relationships among elementary teachers’ perceptions of the use of students’ thinking, their professional noticing skills, and their teaching practices. Journal of Mathematical Behavior, 51, 118–128. https://doi.org/10.1016/j.jmathb.2017.11.007

Lo, C. K., & Hew, K. F. (2020). A comparison of flipped learning with gamification, traditional learning, and online independent study: the effects on students’ mathematics achievement and cognitive engagement. Interactive Learning Environments, 28(4), 464-481.‏ https://doi.org/10.1080/10494820.2018.1541910

Marchis, I. (2011). Factors that influence secondary school students’ attitude to mathematics. Procedia-Social and Behavioral Sciences, 29, 786-793.‏ http://dx.doi.org/10.1016/j.sbspro.2011.11.306

Mata, M. D. L., Monteiro, V., & Peixoto, F. (2012). Attitudes towards mathematics: Effects of individual, motivational, and social support factors. Child development research, 2012, 1-10. http://dx.doi.org/10.1155/2012/876028

Mendez, J. A., & van Es, E. A. (2024). Examining teachers' relational noticing: promoting equity through positive interactions in mathematics education. Journal of Mathematics Teacher Education, 1-26.‏ DOI: 10.1007/s10857-024-09635-5

Moliner, L., & Alegre, F. (2022). COVID-19 Restrictions and Its Influence on Students’ Mathematics Achievement in Spain. Education Sciences, 12(2), 105, 1-10. http://dx.doi.org/10.3390/educsci12020105

Mukuka, A., Balimuttajjo, S., & Mutarutinya, V. (2023). Teacher efforts towards the development of students’ mathematical reasoning skills, Heliyon, 9(4), 1-10. https://doi.org/10.1016/j.heliyon.2023.e14789

Nguyen, P. (2024). School mathematics as context: examining discourses about the subject in district policymaking. Educational Studies in Mathematics, 1-25.‏ DOI: 10.1007/s10649-024-10348-y

Nucci, D. (2024). The role of an online learning environment in teacher care for secondary mathematics students. Educational Studies in Mathematics, 1-15. http://dx.doi.org/10.1007/s10649-024-10350-4

Oloo, J. A., & Nyongesa, C. M. (2024). Strategies and interventions employed by teachers in supporting students with mathematics learning difficulties in Kenya. Research in Mathematics Education, 1-20. DOI: 10.1080/14794802.2024.2339811

Roche, A., Gervasoni, A., & Kalogeropoulos, P. (2023). Factors that promote interest and engagement in learning mathematics for low-achieving primary students across three learning settings. Mathematics Education Research Journal, 35(3), 525-556. https://doi.org/10.1007/s13394-021-00402-w

Säfström, A. I., Lithner, J., Palm, T., Palmberg, B., Sidenvall, J., Andersson, C., ... & Granberg, C. (2024). Developing a diagnostic framework for primary and secondary students’ reasoning difficulties during mathematical problem solving. Educational Studies in Mathematics, 115(2), 125-149.‏ DOI: 10.1007/s10649-023-10278-1

Saritas, T., & Akdemir, O. (2009). Identifying factors affecting the mathematics achievement of students for better instructional design. International Journal of Instructional Technology and distance learning, 6(12), 21-36.‏ https://www.itdl.org/Journal/Dec_09/article03.htm

Schnepel, S., Krähenmann, H., Sermier Dessemontet, R., & Moser Opitz, E. (2020). The mathematical progress of students with an intellectual disability in inclusive classrooms: results of a longitudinal study. Mathematics Education Research Journal, 32(1), 103-119. http://dx.doi.org/10.1007/s13394-019-00295-w

Smit, R., Dober, H., Hess, K., Bachmann, P., & Birri, T. (2023). Supporting primary students’ mathematical reasoning practice: the effects of formative feedback and the mediating role of self-efficacy. Research in Mathematics Education, 25(3), 277-300. DOI: 10.1080/14794802.2022.2062780

Webel, C., Tarr, J., Austin, C., Yeo, S., & Shim, H. (2023). Relationships between elementary mathematics specialist certification, knowledge, beliefs, and classroom learning environments. Journal of Mathematics Teacher Education, 1-31. DOI:10.1007/s10857-023-09602-6

Wetzels, M., Odekerken-Schröder, G., & Van Oppen, C. (2009). Using PLS path modeling for assessing hierarchical construct models: Guidelines and empirical illustration. MIS quarterly, 177-195. http://dx.doi.org/10.2307/20650284

Xiang, J., Wan, Y., & Zhou, J. (2019). Factors affecting the learning effect of advanced mathematics among Chinese college students in social science majors. EURASIA Journal of Mathematics, Science and Technology Education, 15(11), em1770.‏ http://dx.doi.org/10.29333/ejmste/109607

Yu, R., & Singh, K. (2018). Teacher support, instructional practices, student motivation, and mathematics achievement in high school. The Journal of Educational Research, 111(1), 81-94.‏ http://dx.doi.org/10.1080/00220671.2016.1204260

Zhou, D., Liu, J., & Liu, J. (2020). The effect of problematic Internet use on mathematics achievement: The mediating role of self-efficacy and the moderating role of teacher-student relationships. Children and Youth Services Review, 118, 105372.‏ http://dx.doi.org/10.1016/j.childyouth.2020.105372