Main Article Content
Abstract
The process of learning mathematics is determined by cognitive aspects and requires an affective domain. The affective domain is essential in developing mathematical abilities to solve mathematical problems. This study aims to analyze the effect of mathematical resilience (RM) and habits of mind (HOM) on socio-mathematical norms (SMN) in mathematics learning. The research method used is quantitative, with survey techniques and structured inquiry models. The sample in this study was 100 high school students in the DKI Jakarta area. Data analysis was performed using the structured equation model (SEM) using SmartPLS software. This research uses eight items of mathematics resilience instrument, ten items of habits of mind instrument, and 12 items of socio-mathematical norm instrument. Each instrument has four alternative answers with a Likert scale. The results of the study concluded: 1) there is a positive impact of mathematical resilience on socio-mathematical norms; 2) there is a positive impact of habits of mind on socio-mathematical norms; 3) there is a positive impact of mathematical resilience on habits of mind; 4) there is a positive impact of mathematical resilience on sociomathematical norms mediated by habits of mind.
Keywords
Habits of Mind
Mathematical Resilience
SmartPLS
Sociomathematical Norm
Structure Equation Model
Article Details
References
- Amelia, R., Kadarisma, G., Fitriani, N., & Ahmadi, Y. (2020). The effect of online mathematics learning on junior high school mathematic resilience during covid-19 pandemic. Journal of Physics: Conference Series, 1657(1), 012011. https://doi.org/10.1088/1742-6596/1657/1/012011
- Anggriani, A., & Septian, A. (2019). Peningkatan kemampuan komunikasi matematis dan kebiasaan berpikir siswa melalui model pembelajaran IMPROVE [Improving students' mathematical communication skills and thinking habits through the IMPROVE learning model]. IndoMath: Indonesia Mathematics Education, 2(2), 105-116. https://doi.org/10.30738/indomath.v2i2.4550
- Chirkina, T., Khavenson, T., Pinskaya, M., & Zvyagintsev, R. (2020). Factors of student resilience obtained from TIMSS and PISA longitudinal studies. Issues in Educational Research, 30(4), 1245-1263. https://search.informit.org/doi/10.3316/informit.606111940684440
- Chusna, C. A., Rochmad, R., & Zaenuri, Z. (2021). Mathematical reasoning of class VII students in terms of mathematical resilience in TAI learning with the RME approach aided by graphic organizer. Unnes Journal of Mathematics Education Research, 10(A), 9-16.
- Costa, A. L., & Kallick, B. (2008). Learning and leading with habits of mind: 16 essential characteristics for success. Association for Supervision and Curriculum Development (ASCD).
- Cuoco, A., Paul Goldenberg, E., & Mark, J. (1996). Habits of mind: An organizing principle for mathematics curricula. The Journal of Mathematical Behavior, 15(4), 375-402. https://doi.org/10.1016/S0732-3123(96)90023-1
- Dickes, A. C., Farris, A. V., & Sengupta, P. (2020). Sociomathematical Norms for Integrating Coding and Modeling with Elementary Science: A Dialogical Approach. Journal of Science Education and Technology, 29(1), 35-52. https://doi.org/10.1007/s10956-019-09795-7
- Dwirahayu, G., Kustiawati, D., & Bidari, I. (2017). Corresponding habits of mind and mathematical ability. Journal of Physics: Conference Series, 895(1), 012013. https://doi.org/10.1088/1742-6596/895/1/012013
- Farida, F., Hartatiana, H., & Joemsittiprasert, W. (2019). The use of realistic mathematics education (RME) in improving mathematical analogical ability and habits of mind. Al-Jabar: Jurnal Pendidikan Matematika, 10(2), 175-186. https://doi.org/10.24042/ajpm.v10i2.3540
- Fitriani, F., Herman, T., & Fatimah, S. (2023). Considering the mathematical resilience in analyzing students' problem-solving ability through learning model experimentation. International Journal of Instruction, 16(1), 219-240. https://doi.org/10.29333/iji.2023.16113a
- Gürefe, N., & Akçakin, V. (2018). The Turkish adaptation of the mathematical resilience scale: Validity and reliability study. Journal of Education and Training Studies, 6(4), 38-47. https://doi.org/10.11114/jets.v6i3.2992
- Güven, N. D., & Dede, Y. (2017). Examining social and sociomathematical norms in different classroom microcultures: Mathematics teacher education perspective. Educational Sciences: Theory and Practice, 17(1), 265-292. https://doi.org/10.12738/estp.2017.1.0383
- Hendriana, H., Sumarmo, U., Carli, C., Ristiana, M. G., & Putra, H. D. (2019). Enhancing students mathematical creative skill and resilience by using problem posing approach. Journal of Physics: Conference Series, 1318(1), 012065. https://doi.org/10.1088/1742-6596/1318/1/012065
- Hermanda, A., Sumarwan, U., & Tinaprillia, N. (2019). The effect of social media influencer on brand image, self-concept, and purchase intention. Journal of Consumer Sciences, 4(2), 76-89. https://doi.org/10.29244/jcs.4.2.76-89
- Hodiyanto, H., & Firdaus, M. (2020). The self regulated learning, habit of mind, and creativity as high order thinking skills predictors. AKSIOMA: Jurnal Program Studi Pendidikan Matematika, 9(1), 21-30. https://doi.org/10.24127/ajpm.v9i1.2589
- Hutauruk, A. J. B., & Priatna, N. (2017). Mathematical resilience of mathematics education students. Journal of Physics: Conference Series, 895(1), 012067. https://doi.org/10.1088/1742-6596/895/1/012067
- Ignacio, N. G., Nieto, L. J. B., & Barona, E. G. (2006). The affective domain in mathematics learning. International Electronic Journal of Mathematics Education, 1(1), 16-32. https://doi.org/10.29333/iejme/169
- Ishak, N., Yusoff, N., & Madihie, A. (2020). Resilience in mathematics, academic resilience, or mathematical resilience?: An overview. Universal Journal of Educational Research, 8(5), 34-39. https://doi.org/10.13189/ujer.2020.081905
- Johnston-Wilder, S., Goodall, J., & Almehrz, H. (2018). Overcoming statistical helplessness and developing statistical resilience in learners: An illustrative, collaborative, phenomenological study. Creative Education, 9(7), 1105-1122. https://doi.org/10.4236/ce.2018.97082
- Johnston-Wilder, S., Lee, C., Brindley, J., & Garton, L. (2015). Developing mathematical resilience in school-students who have experienced repeated failure. In ICERI2015 Proceedings.
- Kang, S. M., & Kim, M. K. (2016). Sociomathematical norms and the teacher’s mathematical belief: A case study from a Korean in-service elementary teacher. Eurasia Journal of Mathematics, Science and Technology Education, 12(10), 2733-2751. https://doi.org/10.12973/eurasia.2016.1308a
- Karakus, M., Ersozlu, Z., Usak, M., & Ocean, J. (2021). Self-efficacy, affective well-being, and intent-to-leave by science and mathematics teachers: A structural equation model. Journal of Baltic Science Education, 20(2), 237-251. https://doi.org/10.33225/jbse/21.20.237
- Kooken, J., Welsh, M. E., Mccoach, D. B., Johnson-Wilder, S., & Lee, C. (2013, 27 Apr - 1 May 2013). Measuring mathematical resilience: an application of the construct of resilience to the study of mathematics. In American Educational Research Association (AERA) 2013 Annual Meeting: Education and Poverty: Theory, Research, Policy and Praxis, San Francisco, CA, USA.
- Levasseur, K., & Cuoco, A. (2003). Mathematical Habits of Mind. In Proceedings of PME-NA.
- Liew, J., Cao, Q., Hughes, J. N., & Deutz, M. H. F. (2018). Academic resilience despite early academic adversity: A three-wave longitudinal study on regulation-related resiliency, interpersonal relationships, and achievement in first to third grade. Early Education and Development, 29(5), 762-779. https://doi.org/10.1080/10409289.2018.1429766
- Maarif, S., Oktarina, N., Sessu, S., Sulistyowati, F., & Utami, W. B. (2022). Sociomathematical norms in online learning in the COVID-19 pandemic period. International Journal of Evaluation and Research in Education (IJERE), 11(4), 1673-1686. https://doi.org/10.11591/ijere.v11i4.23046
- Maarif, S., Perbowo, K. S., Noto, M. S., & Harisman, Y. (2019). Obstacles in constructing geometrical proofs of mathematics-teacher-students based on Boero’s proving model. Journal of Physics: Conference Series, 1315(1), 012043. https://doi.org/10.1088/1742-6596/1315/1/012043
- Matsuura, R., Sword, S., Piecham, M. B., Stevens, G., & Cuoco, A. (2013). Mathematical habits of mind for teaching: Using language in algebra classrooms. The Mathematics Enthusiast, 10(3), 735-776. https://doi.org/10.54870/1551-3440.1285
- Murtafiah, W., Sa'dijah, C., Candra, T. D., & As'ari, A. R. (2018). Exploring the Explanation of Pre-Service Teacher in Mathematics Teaching Practice. Journal on Mathematics Education, 9(2), 259-270. https://doi.org/10.22342/jme.9.2.5388.259-270
- Nettles, S. M., Mucherah, W., & Jones, D. S. (2000). Understanding Resilience: The Role of Social Resources. Journal of Education for Students Placed at Risk (JESPAR), 5(1-2), 47-60. https://doi.org/10.1080/10824669.2000.9671379
- Ningsih, A. W., & Maarif, S. (2021). Analysis of sociomathematical norms in mathematics learning at 113 junior high school. Wacana Akademika: Majalah Ilmiah Kependidikan, 5(1), 43-50. https://doi.org/10.30738/wa.v5i1.9966
- Roth, S. (2019). The open theory and its enemy: Implicit moralisation as epistemological obstacle for general systems theory. Systems Research and Behavioral Science, 36(3), 281-288. https://doi.org/10.1002/sres.2590
- Sánchez, V., & GarcÃa, M. (2014). Sociomathematical and mathematical norms related to definition in pre-service primary teachers’ discourse. Educational Studies in Mathematics, 85(2), 305-320. https://doi.org/10.1007/s10649-013-9516-0
- Thornton, S., Statton, J., & Mountzouris, S. (2012). Developing Mathematical Resilience among Aboriginal Students. In the 35th annual conference of the Mathematics Education Research Group of Australasia, Singapore.
- Widodo, S. A., Dahlan, J. A., Harini, E., & Sulistyowati, F. (2020). Confirmatory factor analysis sosiomathematics norm among junior high school student. International Journal of Evaluation and Research in Education, 9(2), 448-455. https://doi.org/10.11591/ijere.v9i2.20445
- Wong, K. K.-K. (2013). Partial least squares structural equation modeling (PLS-SEM) techniques using SmartPLS. Marketing Bulletin, 24(1), 1-32.
- Wu, Q., Sang, Y., & Huang, Y. (2019). Danmaku: A new paradigm of social interaction via online videos. Trans. Soc. Comput., 2(2), 1-24. https://doi.org/10.1145/3329485
- Xu, S.-R., & Zhou, S.-N. (2022). The effect of students' attitude towards science, technology, engineering, and mathematics on 21st century learning skills: A structural equation model. Journal of Baltic Science Education, 21(4), 706-719. https://doi.org/10.33225/jbse/22.21.706
- Yackel, E., & Cobb, P. (1996). Sociomathematical norms, argumentation, and autonomy in mathematics. Journal for Research in Mathematics Education, 27(4), 458-477. https://doi.org/10.5951/jresematheduc.27.4.0458
- Yellamraju, T., Magana, A. J., & Boutin, M. (2019). Investigating students’ habits of mind in a course on digital signal processing. IEEE Transactions on Education, 62(4), 312-324. https://doi.org/10.1109/TE.2019.2924610
- Zembat, I. O., & Yasa, S. A. (2015). Using classroom scenarios to reveal mathematics teachers' understanding of sociomathematical norms. International Journal of Education in Mathematics, Science and Technology, 3(3), 242-261.