Efikasi Diri Matematika sebagai Mediator Kecemasan Matematika dan Pemecahan Masalah Aljabar Siswa SMP
DOI:
https://doi.org/10.31004/anthor.v5i5.1154Keywords:
Kecemasan Matematika, Efikasi Diri Matematika, Kemampuan Pemecahan Masalah, Aljabar, MediasiAbstract
Penelitian ini bertujuan menganalisis hubungan antara kecemasan matematika, efikasi diri matematika, dan kemampuan pemecahan masalah aljabar, serta menguji peran mediasi efikasi diri matematika. Penelitian menggunakan pendekatan kuantitatif dengan desain korelasional. Sampel terdiri atas 182 siswa kelas VIII SMP Negeri 2 Mandau yang dipilih melalui multistage random sampling. Kecemasan matematika diukur menggunakan adaptasi Modified Abbreviated Math Anxiety Scale (mAMAS), efikasi diri matematika menggunakan Student Self-Efficacy for Mathematics Learning Questionnaire, dan kemampuan pemecahan masalah aljabar menggunakan tes uraian nonrutin berdasarkan empat tahap pemecahan masalah Polya. Data dianalisis dengan PROCESS Macro for SPSS Model 4 menggunakan 5.000 sampel bootstrap. Hasil menunjukkan bahwa kecemasan matematika secara negatif dan signifikan memprediksi kemampuan pemecahan masalah aljabar (B = −0,865; p < 0,01) dan efikasi diri matematika (B = −1,760; p < 0,01), sedangkan efikasi diri matematika secara positif dan signifikan memprediksi kemampuan pemecahan masalah aljabar (B = 0,294; p < 0,01). Efek tidak langsung kecemasan matematika terhadap kemampuan pemecahan masalah aljabar melalui efikasi diri matematika signifikan (B = −0,517; BootSE = 0,068; 95% CI [−0,656, −0,391]), yang menunjukkan mediasi parsial. Temuan ini menunjukkan bahwa kecemasan matematika berkaitan dengan penurunan kemampuan pemecahan masalah aljabar, baik secara langsung maupun melalui melemahnya efikasi diri matematika. Implikasinya, pembelajaran matematika perlu mengintegrasikan penguatan kemampuan kognitif, pengelolaan kecemasan, dan pengembangan efikasi diri siswa.
References
Ahmmed, S., Saha, J., Tamal, M. A., Mamun, K. A., & Islam, S. (2024). Factors predicting the mathematics anxiety of adolescents: A structural equation modeling approach. Frontiers in Psychiatry, 15, 1484381. https://doi.org/10.3389/fpsyt.2024.1484381
Ario, M., Suhendra, Jupri, A., & Nurlaelah, E. (2025). Students’ errors and learning obstacles in solving algebraic word problems: Hermeneutic phenomenology. Education Sciences, 15(12), 1674. https://doi.org/10.3390/educsci15121674
Ashcraft, M. H., & Kirk, E. (2001). The relationships among working memory, math anxiety, and performance. Journal of Experimental Psychology: General, 130(2), 224–237. https://doi.org/10.1037/0096-3445.130.2.224
Ashcraft, M. H., & Moore, A. M. (2009). Mathematics anxiety and the affective drop in performance. Journal of Psychoeducational Assessment, 27(3), 197–205. https://doi.org/10.1177/0734282908330580
Barroso, C., Ganley, C. M., McGraw, A. L., Geer, E. A., Hart, S. A., & Daucourt, M. C. (2020). A meta-analysis of the relation between math anxiety and math achievement. Psychological Bulletin, 147(2), 134–168. https://doi.org/10.1037/bul0000307
Beaton, D. E., Bombardier, C., Guillemin, F., & Ferraz, M. B. (2000). Guidelines for the process of cross-cultural adaptation of self-report measures. Spine, 25(24), 3186–3191. https://doi.org/10.1097/00007632-200012150-00014
Bouck, E. C., Park, J., Satsangi, R., Cwiakala, K., & Levy, K. (2019). Using the virtual-abstract instructional sequence to support acquisition of algebra. Journal of Special Education Technology, 34(4), 253–268. https://doi.org/10.1177/0162643419833022
Broda, M., Ross, E., Sorhagen, N., & Ekholm, E. (2023). Exploring control-value motivational profiles of mathematics anxiety, self-concept, and interest in adolescents. Frontiers in Psychology, 14, 1140924. https://doi.org/10.3389/fpsyg.2023.1140924
Burić, I., & Kim, L. E. (2020). Teacher self-efficacy, instructional quality, and student motivational beliefs: An analysis using multilevel structural equation modeling. Learning and Instruction, 66, 101302. https://doi.org/10.1016/j.learninstruc.2019.101302
Carey, E., Hill, F., Devine, A., & Szűcs, D. (2017). The modified abbreviated math anxiety scale: A valid and reliable instrument for use with children and adolescents. Frontiers in Psychology, 8, 11. https://doi.org/10.3389/fpsyg.2017.00011
Caviola, S., Toffalini, E., Giofrè, D., Ruiz, J. M., Szűcs, D., & Mammarella, I. C. (2021). Math performance and academic anxiety forms, from sociodemographic to cognitive aspects: A meta-analysis on 906,311 participants. Educational Psychology Review, 34(1), 363–399. https://doi.org/10.1007/s10648-021-09618-5
Çiftçi, Ş. K., & Yıldız, P. (2019). The effect of self-confidence on mathematics achievement: The meta-analysis of Trends in International Mathematics and Science Study (TIMSS). International Journal of Instruction, 12(2), 683–694. https://doi.org/10.29333/iji.2019.12243a
Daker, R. J., Gattas, S. U., Sokolowski, H. M., Green, A. E., & Lyons, I. M. (2021). First-year students’ math anxiety predicts STEM avoidance and underperformance throughout university, independently of math ability. npj Science of Learning, 6(1), 17. https://doi.org/10.1038/s41539-021-00095-7
Daryaee, A., Shahvarani, A., Tehranian, A., Lotfı, F. H., & Rostamy-Malkhalifeh, M. (2018). Executable functions of the representations in learning the algebraic concepts. PNA, 13(1), 1–18. https://doi.org/10.30827/pna.v13i1.6903
Destiniar, Syahbana, A., & Nopriyanti, T. D. (2024). Development of student self-efficacy for mathematics learning in Indonesia. Mathematics Teaching Research Journal, 16(3), 265–291.
Dong, L., Jia, X., & Fei, Y. (2023). How growth mindset influences mathematics achievements: A study of Chinese middle school students. Frontiers in Psychology, 14, 1148754. https://doi.org/10.3389/fpsyg.2023.1148754
Dowker, A., Sarkar, A., & Looi, C. Y. (2016). Mathematics anxiety: What have we learned in 60 years? Frontiers in Psychology, 7, 508. https://doi.org/10.3389/fpsyg.2016.00508
Foley, A., Herts, J. B., Borgonovi, F., Guerriero, S., Levine, S. C., & Beilock, S. L. (2017). The math anxiety-performance link. Current Directions in Psychological Science, 26(1), 52–58. https://doi.org/10.1177/0963721416672463
Foulstone, A. R., & Kelly, A. B. (2019). Enhancing academic self-efficacy and performance among fourth year psychology students: Findings from a short educational intervention. International Journal for the Scholarship of Teaching and Learning, 13(2). https://doi.org/10.20429/ijsotl.2019.130209
García, T., Boom, J., Kroesbergen, E. H., Núñez, J. C., & Rodríguez, C. (2019). Planning, execution, and revision in mathematics problem solving: Does the order of the phases matter? Studies in Educational Evaluation, 61, 83–93. https://doi.org/10.1016/j.stueduc.2019.03.001
Gilmore, C. (2023). Understanding the complexities of mathematical cognition: A multi-level framework. Quarterly Journal of Experimental Psychology, 76(9), 1953–1972. https://doi.org/10.1177/17470218231175325
Halme, H., Trezise, K., Hannula-Sormunen, M., & McMullen, J. (2022). Characterizing mathematics anxiety and its relation to performance in routine and adaptive tasks. Journal of Numerical Cognition, 8(3), 414–429. https://doi.org/10.5964/jnc.7675
Hamidah, I., Zulkardi, Z., Putri, R. I. I., & Pramuditya, S. A. (2025). Strategies, successes, and gaps in algebra teaching: A scoping review. Edumatika: Jurnal Riset Pendidikan Matematika, 8(1), 89–101. https://doi.org/10.32939/ejrpm.v8i1.5109
Herset, M., Ghami, M. El, & Bjerke, A. H. (2023). The effect of level-marked mathematics tasks on students’ self-efficacy: An experimental study. Frontiers in Psychology, 14, 1116386. https://doi.org/10.3389/fpsyg.2023.1116386
Horne, D. (2022). School leadership’s role in the disruption of math anxiety. International Journal for Leadership in Learning, 22(1), 48–72. https://doi.org/10.29173/ijll4
Jamaluddin, M., Mustaji, M., & Bahri, B. S. (2022). Effect of blended learning models and self-efficacy on mathematical problem-solving ability. International Journal of Learning, Teaching and Educational Research, 21(7), 127–144. https://doi.org/10.26803/ijlter.21.7.7
Kurshumlia, R., & Vula, E. (2021). Using reciprocal teaching for improving students’ skills in mathematical word problem solving: A project of participatory action research. European Journal of Educational Research, 10(3), 1371–1382. https://doi.org/10.12973/eu-jer.10.3.1371
Lengyelfalusy, T., & Gonda, D. (2023). Linking transformation and problem atomization in algebraic problem-solving. Mathematics, 11(9), 2114. https://doi.org/10.3390/math11092114
Li, Q., & Palaroan, R. (2024). Multidimensional academic anxiety: Examining domain-specific differences and motivational impacts. In Education and human development. https://doi.org/10.5772/intechopen.1008203
Liu, R., Jong, C., & Fan, M. (2024). Reciprocal relationship between self-efficacy and achievement in mathematics among high school students. Large-scale Assessments in Education, 12(1). https://doi.org/10.1186/s40536-024-00201-2
Luttenberger, S., Wimmer, S., & Paechter, M. (2018). Spotlight on math anxiety. Psychology Research and Behavior Management, 311–322. https://doi.org/10.2147/PRBM.S141421
Mouratidis, A., Michou, A., & Vassiou, A. (2016). Adolescents’ autonomous functioning and implicit theories of ability as predictors of their school achievement and week-to-week study regulation and well-being. Contemporary Educational Psychology, 48, 56–66. https://doi.org/10.1016/j.cedpsych.2016.09.001
Muhaimin, L. H., Sholikhakh, R. A., Yulianti, S., Ardani, A., Hendriyanto, A., & Sahara, S. (2024). Unlocking the secrets of students’ mathematical literacy to solve mathematical problems: A systematic literature review. Eurasia Journal of Mathematics, Science and Technology Education, 20(4). https://doi.org/10.29333/ejmste/14404
Namkung, J. M., Peng, P., & Lin, X. (2019). The relation between mathematics anxiety and mathematics performance among school-aged students: A meta-analysis. Review of Educational Research, 89(3), 459–496. https://doi.org/10.3102/0034654319843494
Nathan, M. J., Kintsch, W., & Young, E. (1992). A theory of algebra-word-problem comprehension and its implications for the design of learning environments. Cognition and Instruction, 9(4), 329–389. https://doi.org/10.1207/s1532690xci0904_2
Nix, S., Perez-Felkner, L., & Thomas, K. (2015). Perceived mathematical ability under challenge: A longitudinal perspective on sex segregation among STEM degree fields. Frontiers in Psychology, 6, 530. https://doi.org/10.3389/fpsyg.2015.00530
Öztürk, M., Yıldız, K. A. D. A., & Charitaki, G. (2026). Self-regulation and mathematics anxiety: The conditional mediating role of mathematical language self-efficacy and implications for inclusive education. Adolescents, 6(3), 39. https://doi.org/10.3390/adolescents6030039
Passolunghi, M. C., Caviola, S., De Agostini, R., Perin, C., & Mammarella, I. C. (2016). Mathematics anxiety, working memory, and mathematics performance in secondary-school children. Frontiers in Psychology, 7, 42. https://doi.org/10.3389/fpsyg.2016.00042
Purbaningrum, M., Ramadhan, S., & Thauzahra, R. (2023). Why is math difficult?: Beliefs that affecting students’ mathematics skills. Jurnal Paedagogy, 10(4), 1000. https://doi.org/10.33394/jp.v10i4.8652
Putwain, D. W., & Wood, P. (2022). Anxiety in the mathematics classroom: Reciprocal relations with control and value, and relations with subsequent achievement. ZDM, 55(2), 285–298. https://doi.org/10.1007/s11858-022-01390-2
Ramirez, G., Shaw, S. T., & Maloney, E. A. (2018). Math anxiety: Past research, promising interventions, and a new interpretation framework. Educational Psychologist, 53(3), 145–164. https://doi.org/10.1080/00461520.2018.1447384
Rozgonjuk, D., Kraav, T., Mikkor, K., Orav-Puurand, K., & Täht, K. (2020). Mathematics anxiety among STEM and social sciences students: The roles of mathematics self-efficacy, and deep and surface approach to learning. International Journal of STEM Education, 7(1). https://doi.org/10.1186/s40594-020-00246-z
Sa’diyah, M., Sa’dijah, C., & Susiswo, S. (2024). Students’ ability to formulate situation mathematically from context-based mathematics problems. TEM Journal, 1443–1451. https://doi.org/10.18421/TEM132-58
Sahin, A., Ernawati, R., Amalia, R., Dalimunthe, R. Z., Pautina, A. R., Maghfur, S., … Alfayyadi, A. F. (2024). Self-efficacy pada siswa: Systematic literatur review. G-Couns: Jurnal Bimbingan dan Konseling, 8(2), 627–639.
Sahin, A., & Hesta, O. Y. (2025). Self-efficacy sebagai mediator antara phubbing terhadap prokrastinasi akademik siswa SMA. TERAPUTIK: Jurnal Bimbingan dan Konseling, 8(3), 41–48.
Schukajlow, S., Rakoczy, K., & Pekrun, R. (2023). Emotions and motivation in mathematics education: Where we are today and where we need to go. ZDM, 55(2), 249–267. https://doi.org/10.1007/s11858-022-01463-2
Schunk, D. H. (1985). Self-efficacy and classroom learning. NC Digital Online Collection of Knowledge and Scholarship (The University of North Carolina at Greensboro), 22(2), 208–223. https://doi.org/10.1002/1520-6807(198504)22:2<208::AID-PITS2310220215>3.0.CO;2-7
Schunk, D. H. (1989). Self-efficacy and achievement behaviors. Educational Psychology Review, 1(3), 173–208. https://doi.org/10.1007/BF01320134
Schunk, D. H. (1995). Self-efficacy, motivation, and performance. NC Digital Online Collection of Knowledge and Scholarship (The University of North Carolina at Greensboro), 7(2), 112–137. https://doi.org/10.1080/10413209508406961
Siagian, M. V., Saragih, S., & Sinaga, B. (2019). Development of learning materials oriented on problem-based learning model to improve students’ mathematical problem solving ability and metacognition ability. International Electronic Journal of Mathematics Education, 14(2). https://doi.org/10.29333/iejme/5717
Sidney, P. G., Scheibe, D. A., Zahrn, L., Brown, K. G. I., & Thompson, C. A. (2024). Developing effective interventions for math anxiety. Current Directions in Psychological Science, 34(1), 57–63. https://doi.org/10.1177/09637214241300111
Skagerlund, K., Östergren, R., Västfjäll, D., & Träff, U. (2019). How does mathematics anxiety impair mathematical abilities? Investigating the link between math anxiety, working memory, and number processing. PLoS ONE, 14(1). https://doi.org/10.1371/journal.pone.0211283
Stein, M. K., Grover, B. W., & Henningsen, M. A. (1996). Building student capacity for mathematical thinking and reasoning: An analysis of mathematical tasks used in reform classrooms. American Educational Research Journal, 33(2), 455–488. https://doi.org/10.3102/00028312033002455
Steinmayr, R., Weidinger, A. F., Schwinger, M., & Spinath, B. (2019). The importance of students’ motivation for their academic achievement – Replicating and extending previous findings. Frontiers in Psychology, 10, 1730. https://doi.org/10.3389/fpsyg.2019.01730
Stoilescu, D., & Egodawatte, G. (2015). Grade 11 students’ interconnected use of conceptual knowledge, procedural skills, and strategic competence in algebra: A mixed method study of error analysis. European Journal of Science and Mathematics Education, 3(3), 289–305. https://doi.org/10.30935/scimath/9438
Street, K. E. S., Malmberg, L., & Stylianides, G. J. (2022). Changes in students’ self-efficacy when learning a new topic in mathematics: A micro-longitudinal study. Educational Studies in Mathematics, 111(3), 515–541. https://doi.org/10.1007/s10649-022-10165-1
Suárez-Pellicioni, M., Núñez-Peña, M. I., & Colomé, À. (2015). Math anxiety: A review of its cognitive consequences, psychophysiological correlates, and brain bases. Cognitive, Affective, & Behavioral Neuroscience, 16(1), 3–22. https://doi.org/10.3758/s13415-015-0370-7
Szabo, A., & Andrews, P. (2017). Uncovering the relationship between mathematical ability and problem solving performance of Swedish upper secondary school students. Scandinavian Journal of Educational Research, 62(4), 555–569. https://doi.org/10.1080/00313831.2016.1258671
Thi, T. D. P., & Duong, N. T. (2024). Investigating learning burnout and academic performance among management students: A longitudinal study in English courses. BMC Psychology, 12(1), 219. https://doi.org/10.1186/s40359-024-01725-6
Toromade, A. O., Orakwe, C. U., & Okonkwo, C. A. (2024). Equity-centered adaptive learning (ECAL) in mathematics: Personalizing education for underrepresented groups. International Journal of Applied Research in Social Sciences, 6(11), 2644–2657. https://doi.org/10.51594/ijarss.v6i11.1693
Valiente, C., Swanson, J., & Eisenberg, N. (2011). Linking students’ emotions and academic achievement: When and why emotions matter. Child Development Perspectives, 6(2), 129–135. https://doi.org/10.1111/j.1750-8606.2011.00192.x
Vidad, D. C., & Quimbo, M. A. T. (2021). Students’ problem-solving difficulties and coping strategies in mathematics: A model-building study. International Journal of Learning, Teaching and Educational Research, 20(9), 136–173. https://doi.org/10.26803/ijlter.20.9.9
Wang, Z., Hart, S. A., Kovas, Y., Lukowski, S. L., Soden, B., Thompson, L. A., … Petrill, S. A. (2014). Who is afraid of math? Two sources of genetic variance for mathematical anxiety. Journal of Child Psychology and Psychiatry, 55(9), 1056–1064. https://doi.org/10.1111/jcpp.12224
Webb, N. L. (1979). Processes, conceptual knowledge, and mathematical problem-solving ability. Journal for Research in Mathematics Education, 10(2), 83–93. https://doi.org/10.5951/jresematheduc.10.2.0083
Yang, Y., Maeda, Y., & Gentry, M. (2024). The relationship between mathematics self-efficacy and mathematics achievement: Multilevel analysis with NAEP 2019. Large-scale Assessments in Education, 12(1). https://doi.org/10.1186/s40536-024-00204-z
Zakariya, Y. F. (2022). Improving students’ mathematics self-efficacy: A systematic review of intervention studies. Frontiers in Psychology, 13, 986622. https://doi.org/10.3389/fpsyg.2022.986622
Zhang, J., Zhao, N., & Kong, Q. P. (2019). The relationship between math anxiety and math performance: A meta-analytic investigation. Frontiers in Psychology, 10, 1613. https://doi.org/10.3389/fpsyg.2019.01613
Živković, M., Pellizzoni, S., Doz, E., Cuder, A., Mammarella, I. C., & Passolunghi, M. C. (2023). Math self-efficacy or anxiety? The role of emotional and motivational contribution in math performance. Social Psychology of Education, 26(3), 579–601. https://doi.org/10.1007/s11218-023-09760-8
Zuniana, E. R., & Rahaju, E. B. (2019). Pemecahan masalah aljabar siswa SMP ditinjau dari tipe kepribadian. MATHEdunesa: Jurnal Ilmiah Pendidikan Matematika, 8(2), 342–349. https://doi.org/10.26740/mathedunesa.v8n2.p342-349
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