Exploring Students’ Mathematical Beliefs: Gender, Grade, and Culture Differences
DOI:
https://doi.org/10.7160/eriesj.2023.160303Keywords:
Culture, Gender, Grade, Mathematics, Students’ beliefsAbstract
The investigation of students’ conceptions of knowledge of mathematics and the process of knowing mathematics is important to provide an understanding of the phenomena behind students’ performance. However, there is a scarcity of empirical investigation of students’ beliefs about mathematics knowledge in the Indonesian context. This study aims to assess students’ beliefs about mathematics education. The relation of these beliefs with gender, grade, and culture was also examined. Fifteen classes were selected by stratified random sampling methods. 536 students (boys = 217, girls = 319) from 8-9 grades participated in the present study. The result of this study revealed students viewed that their mathematics teachers have tried to make mathematics lessons interesting and perceived that mathematics knowledge continues to expand. Boys’ students hold stronger beliefs that they can understand the most difficult tasks in mathematics than girls’ students. Grade eight students have higher beliefs than ninth-grade students. Javanese students hold stronger beliefs in mathematics performance than Madurese students. The finding of this study provided information on how to design teaching and learning mathematics in the Indonesian context.
References
Bandura, A. (2001) ‘Social Cognitive Theory: An Agentic Perspective’, Annual Review of Psychology, Vol. 52, pp. 1–26. https://doi.org/10.1146/annurev.psych.52.1.1
Caprara, G. V., Vecchione, M., Alessandri, G., Gerbino, M. and Barbaranelli, C (2011) ‘The contribution of personality traits and self-efficacy beliefs to academic achievement: A longitudinal study’, British Journal of Educational Psychology, Vol. 81, No. 1, pp. 78–96. https://doi.org/10.1348/2044-8279.002004
Cohen, J. (1992) ‘A Power Primer’, Psychological Bulletin, Vol. 112, No. 1, pp. 155–159. https://doi.org/10.1037/0033-2909.112.1.155
De Corte, E. (2015) ‘Mathematics-related beliefs of Ecuadorian students of grades 8-10’, Mathematics Educator, Vol. 72, pp. 1–13. https://doi.org/10.1016/j.ijer.2015.03.006
Csíkos, C., Kelemen, R. and Verschaffel, L. (2011) ‘Fifth-grade students’ approaches to and beliefs of mathematics word problem solving: A large sample Hungarian study’, ZDM - International Journal on Mathematics Education, Vol. 43, No. 4, pp. 561–571. https://doi.org/10.1007/s11858-011-0308-7
Dustan, A., Koutout, K. and Leo, G. (2022) ‘Second-order beliefs and gender’, Journal of Economic Behavior and Organization, Vol. 200, No. 8, pp. 752–781. https://doi.org/10.1016/j.jebo.2022.06.023
Elizar, E. (2021) ‘Two-level model of attitudes and beliefs influencing higher order thinking (hot) skills in mathematics’, Bolema - Mathematics Education Bulletin, Vol. 35, No. 70, pp. 1034–1046. https://doi.org/10.1590/1980-4415v35n70a22
Gijsbers, D., de Putter-Smits, L. and Pepin, B. (2020) ‘Changing students’ beliefs about the relevance of mathematics in an advanced secondary mathematics class’, International Journal of Mathematical Education in Science and Technology, Vol. 51, No. 1, pp. 87–102. https://doi.org/10.1080/0020739X.2019.1682698
Heyder, A. Weidinger, A. F., Cimpian, A. and Steinmayr, R. (2020) ‘Teachers’ belief that math requires innate ability predicts lower intrinsic motivation among low-achieving students’, Learning and Instruction, Vol. 65, 101220, pp. 1–10. https://doi.org/10.1016/j.learninstruc.2019.101220
Hidayatullah, A. and Csíkos, C. (2022) ‘Mathematics Related Belief System and Word Problem-Solving in the Indonesian Context’, Eurasia Journal of Mathematics, Science and Technology Education, Vol. 18, No. 4, pp. 1–16. https://doi.org/10.29333/ejmste/11902
Hidayatullah, A. and Csíkos, C. (2023) ‘The Role of Students ’ Beliefs , Parents ’ Educational Level , and The Mediating Role of Attitude and Motivation in Students ’ Mathematics Achievement’, The Asia-Pacific Education Researcher, Vol. 32, No. 2, pp. 1–10. https://doi.org/10.1007/s40299-023-00724-2
Hidayatullah, A., Csíkos, C. and Wafubwa, R. N. (2023) ‘The dimensionality of personal beliefs ; the investigation of beliefs based on the field study’, Revista de Educación a Distancia (RED), Vol. 23, No. 72, pp. 1–26. https://doi.org/10.6018/red.540251
Hu, L. T. and Bentler, P. M. (1999) ‘Cutoff criteria for fit indexes in covariance structure analysis: Conventional criteria versus new alternatives’, Structural Equation Modeling, Vol. 6, No.1, pp. 1–55. https://doi.org/10.1080/10705519909540118
Kang, X. and Leung, F. K. S. (2022) ‘Assessing Expectancy and Value Beliefs in Mathematics: Measurement Invariance and Latent Mean Differences Across Two Ethnic Cultures’, International Journal of Science and Mathematics Education, Vol. 20, No. 1, https://doi.org/10.1007/s10763-022-10330-1
Li, Q., Cho, H. Cosso, J and Maeda, Y (2021) ‘Relations Between Students’ Mathematics Anxiety and Motivation to Learn Mathematics: a Meta-Analysis’, Educational Psychology Review, Vol. 33, No. 3, pp. 1017–1049. https://doi.org/10.1007/s10648-020-09589-z
Liou, P. Y., Wang, C. L., John J. H. Lin, J. J. H. and Areepattamannil, S. (2021) ‘Assessing Students’ Motivational Beliefs about Learning Science across Grade Level and Gender’, Journal of Experimental Education, Vol. 89, No. 4, pp. 605–624. https://doi.org/10.1080/00220973.2020.1721413
Mozahem, N. A., Boulad, F. M. and Ghanem, C. M. (2021) ‘Secondary school students and self-efficacy in mathematics: Gender and age differences’, International Journal of School and Educational Psychology, Vol. 9, No.1, pp. 142–152. https://doi.org/10.1080/21683603.2020.1763877
Nosek, B. A., Banaji, M. R. and Greenwald, A. G. (2002) ‘Math = male, me = female, therefore math ≠ me’, Journal of Personality and Social Psychology, Vol. 83, No. 1, pp. 44–59. https://doi.org/10.1037/0022-3514.83.1.44
Op ’t Eynde, P., De Corte, E. and Verschaffel, L. (2006) ‘Epistemic dimensions of students’ mathematics-related belief systems’, International Journal of Educational Research, Vol. 45, No. 1–2, pp. 57–70. https://doi.org/10.1016/j.ijer.2006.08.004
Özcan, B. and Kültür, Y. Z. (2021) ‘The Relationship Between Sources of Mathematics Self-Efficacy and Mathematics Test and Course Achievement in High School Seniors’, SAGE Open, Vol. 11, No. 3, pp. 1–10. https://doi.org/10.1177/21582440211040124
Öztürk, M., Akkan, Y. and Kaplan, A. (2020) ‘Reading comprehension, Mathematics self-efficacy perception, and Mathematics attitude as correlates of students’ non-routine Mathematics problem-solving skills in Turkey’, International Journal of Mathematical Education in Science and Technology, Vol. 51, No. 7, pp. 1042–1058. https://doi.org/10.1080/0020739X.2019.1648893
Passolunghi, M. C., Rueda Ferreira, T. I. and Tomasetto, C. (2014) ‘Math-gender stereotypes and math-related beliefs in childhood and early adolescence’, Learning and Individual Differences, Vol. 34, pp. 70–76. https://doi.org/10.1016/j.lindif.2014.05.005
Perera, H. N. and John, J. E. (2020) ‘Teachers’ self-efficacy beliefs for teaching math: Relations with teacher and student outcomes’, Contemporary Educational Psychology, Vol. 61, pp. 1–13. https://doi.org/10.1016/j.cedpsych.2020.101842
Quinn, G. (2011) ‘Teaching Javanese respect usage to foreign learners’, Electronic Journal of Foreign Language Teaching, Vol. 8, No.1, pp. 362–370.
van de Schoot, R., Lugtig, P. and Hox, J. (2012) ‘A checklist for testing measurement invariance’, European Journal of Developmental Psychology, Vol. 9, No. 4, pp. 486–492. https://doi.org/10.1080/17405629.2012.686740
Seo, E., Shen, Y. and Alfaro, E. C. (2019) ‘Adolescents’ Beliefs about Math Ability and Their Relations to STEM Career Attainment: Joint Consideration of Race/ethnicity and Gender’, Journal of Youth and Adolescence, Vol. 48, No. 2, pp. 306–325. https://doi.org/10.1007/s10964-018-0911-9
Silver, A. M., Elliott, L. and Libertus, M. E. (2021) ‘When beliefs matter most: Examining children’s math achievement in the context of parental math anxiety’, Journal of Experimental Child Psychology, Vol. 201, No. 1, pp.1–18. https://doi.org/10.1016/j.jecp.2020.104992
Srimulyani, E. (2007) ‘Muslim Women and Education in Indonesia: The pondok pesantren experience’, Asia Pacific Journal of Education, Vol. 27, No. 1, pp. 85–99. https://doi.org/10.1080/02188790601145564
Taylor, K. B. (2016) ‘Diverse and Critical Perspectives on Cognitive Development Theory’, New Directions for Student Services, Vol. 154, pp. 29–41. https://doi.org/10.1002/ss.20173
Usher, E. L. and Pajares, F. (2009) ‘Sources of self-efficacy in mathematics: A validation study’, Contemporary Educational Psychology, Vol. 34, No. 1, pp. 89–101. https://doi.org/10.1016/j.cedpsych.2008.09.002
Voica, C., Singer, F. M. and Stan, E. (2020) ‘How are motivation and self-efficacy interacting in problem-solving and problem-posing?’, Educational Studies in Mathematics, Vol. 105, No. 3, pp. 487–517. https://doi.org/10.1007/s10649-020-10005-0
Vuletich, H. A., Kurtz-Costes, B., Cooley, E. and Payne, B. K. (2020) ‘Math and language gender stereotypes: Age and gender differences in implicit biases and explicit beliefs’, PLoS ONE, Vol. 15, No. 9, e0238230, pp. 1–22. https://doi.org/10.1371/journal.pone.0238230
Wang, F., King, R. B. and Leung, S. O. (2022) ‘Why do East Asian students do so well in mathematics? A machine learning study’, International Journal of Science and Mathematics Education, Vol. 20, No. 4, pp. 691–711. https://doi.org/10.1007/s10763-022-10262-w
Zhan, Z. He, W., Yi, X., and Ma, S. (2022) ‘Effect of Unplugged Programming Teaching Aids on Children’s Computational Thinking and Classroom Interaction: with Respect to Piaget’s Four Stages Theory’, Journal of Educational Computing Research, Vol. 60, No. 5, pp. 1277–1300. https://doi.org/10.1177/07356331211057143
Zulkarnain, Zulnaidi, H., Heleni, S. and Syafri, M. (2021) ‘Effects of SSCS Teaching Model on Students’ Mathematical Problem-solving Ability and Self-efficacy’, International Journal of Instruction, Vol. 14, No. 1, pp. 475–488. https://doi.org/10.29333/IJI.2021.14128A
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