Main Article Content
Abstract
This study investigates the influence of self-confidence on students' mathematical representation abilities, which are essential for interpreting and communicating mathematical ideas. Employing a comparative correlational design, the research involved eighth-grade students selected through a cluster random sampling method. The data were obtained using a self-confidence questionnaire and a mathematical representation test, both of which were validated for reliability and content relevance. Data analysis was conducted using statistical techniques to examine differences in students' representation skills based on their self-confidence levels. The findings reveal that students with higher self-confidence tend to demonstrate stronger abilities in representing mathematical concepts compared to those with moderate or low self-confidence. These students are more inclined to engage in problem-solving processes, utilize multiple forms of representation, and articulate their reasoning more effectively. The results support the idea that self-confidence plays a critical role in facilitating not only motivation and engagement but also cognitive performance in mathematics. This study underscores the importance of integrating strategies that nurture self-confidence within mathematics instruction. By doing so, educators can enhance students’ abilities to represent, interpret, and apply mathematical knowledge in meaningful ways. Encouraging a positive learning environment that values effort and supports student confidence may significantly contribute to overall mathematical proficiency.
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Article Details
References
- Ahmad, A., Akhsani, L., & Mohamed, Z. (2023). The profile of students' mathematical representation competence, self-confidence, and habits of mind through problem-based learning models. Infinity Journal, 12(2), 323-338. https://doi.org/10.22460/infinity.v12i2.p323-338
- Alcantara, I. (2020). Students' self-confident in STEAM. Schrödinger: Journal of Physics Education, 1(2), 67-73. https://doi.org/10.37251/sjpe.v1i2.66
- An, S. A., Tillman, D., Smith, K. C., & Hachey, A. C. (2023). Preservice teachers’ reflections on the use of visual supports to improve mathematics pedagogy. Journal of Mathematics Education at Teachers College, 14(1). https://doi.org/10.52214/jmetc.v14i1.10168
- Bandura, A. (2023). Cultivate self‐efficacy for personal and organizational effectiveness. Principles of Organizational Behavior: The Handbook of Evidence‐Based Management 3rd Edition, 113-135. https://doi.org/10.1002/9781394320769.ch6
- Bernard, M., & Senjayawati, E. (2019). Developing the Students' Ability in Understanding Mathematics and Self-Confidence with VBA for Excel. Journal of Research and Advances in Mathematics Education, 4(1), 45-56. https://doi.org/10.23917/jramathedu.v4i1.6349
- Boaler, J. (2022). Mathematical mindsets: Unleashing students' potential through creative mathematics, inspiring messages and innovative teaching. John Wiley & Sons.
- Byiringiro, E. (2024). The effect of students self-confidence on mathematics achievement in high school in korea. East African Journal of Education Studies, 7(1), 231–239. https://doi.org/10.37284/eajes.7.1.1765
- Coles, A., & Sinclair, N. (2019). Re-thinking 'concrete to abstract'in mathematics education: Towards the use of symbolically structured environments. Canadian Journal of Science, Mathematics and Technology Education, 19, 465-480. https://doi.org/10.1007/s42330-019-00068-4
- Djakaria, I., & Ilham, A. (2022). The impact of parenting and self-confidence on elementary school students’mathematics learning outcomes during the covid-19 pandemic. Open Access Repository, 8(03), 114–120.
- Faudziah, L., & Kadarisma, G. (2019). Pengaruh self-confidence siswa terhadap kemampuan penalaran matematis siswa smk negeri di kota cimahi. Journal On Education, 1(3), 315–321.
- Fay, N., Babys, U., & Gella, N. J. M. (2022). Analysis of students' mathematical communication skills in terms of self-confidence. International Journal of Humanities Education and Social Sciences, 1(5). https://doi.org/10.55227/ijhess.v1i5.142
- Fitayanti, N., Rahmawati, A., & Asriningsih, T. M. (2022). Pengaruh self-confidence terhadap kemampuan pemecahan masalah matematika siswa. JPMI (Jurnal Pembelajaran Matematika Inovatif), 5(2), 335–344. https://doi.org/10.22460/jpmi.v5i2.9678
- Goldin, G. A. (2020). Mathematical representations. Encyclopedia of mathematics education, 566-572. https://doi.org/10.1007/978-3-030-15789-0_103
- Gunawan, G., & Muflihati, D. (2022). Vocational high school students’ mathematical problem-solving ability viewed from self-confidence. AlphaMath : Journal of Mathematics Education, 8(1). https://doi.org/10.30595/alphamath.v8i1.12423
- Exploring the Impact of Self-Confidence on Students' Mathematical Representation Skills 79
- Hecht, S. A., & Vagi, K. J. (2010). Sources of group and individual differences in emerging fraction skills. Journal of Educational Psychology, 102(4). https://doi.org/10.1037/a0019824
- Hendriana, H., Johanto, T., & Sumarmo, U. (2018). The Role of Problem-Based Learning to Improve Students' Mathematical Problem-Solving Ability and Self Confidence. Journal on Mathematics Education, 9(2), 291-300. https://doi.org/10.22342/jme.9.2.5394.291-300
- Hermaitriyana, & Samsir. (2021). Students’ mathematical problem-solving ability reviewed from the self-confidence of junior high school students. Journal of Research on Mathematics Instruction (JRMI), 2(2). https://doi.org/10.33578/jrmi.v2i2.46
- Kunhertanti, K., & Santosa, R. H. (2018). The influence of students’ self-confidence on mathematics learning achievement. Journal of Physics: Conference Series, 1097(1), 012126. https://doi.org/10.1088/1742-6596/1097/1/012126
- Malinda, P., & Minarti, E. D. (2018). Pengaruh self-confidence terhadap kemampuan koneksi matematis siswa smp. Jurnal Pendidikan Tambusai, 2(3), 1829–1837.
- Matabane, M. E., & Machaba, F. M. (2023). First year university students` use of words, symbols and images to convey mathematical ideas: a case of definitions. Research in Social Sciences and Technology, 8(1). https://doi.org/10.46303/ressat.2023.16
- Melyana, A., & Pujiastuti, H. (2020). Pengaruh kepercayaan diri terhadap kemampuan berpikir kritis matematis siswa smp. JPMI (Jurnal Pembelajaran Matematika Inovatif), 3(3), 239–246.
- Oktarisa, F., Rahmat, T., Rusdi, R., & Firmanti, P. (2024). Pengaruh self-confidence terhadap hasil belajar matematika. Innovative: Journal Of Social Science Research, 4(2), 5532–5543.
- Puspalita, A., Nurhanurawati, N., & Coesamin, M. (2022). Pengaruh self-confidence terhadap kemampuan pemecahan masalah matematis siswa. Jurnal Pendidikan Matematika Universitas Lampung, 10(2), 196–207. https://doi.org/10.23960/mtk/v10i2.pp196-207
- Rahayu, W., & Zakiah, R. (2018). Analysis of mathematical representation ability development in secondary high school. International Journal of Engineering & Technology, 7(4.38). https://doi.org/10.14419/ijet.v7i4.38.27810
- Setiawan, H., Hendriana, H., Sabandar, J., & Fitriani, N. (2022). The effect of self-confidence on the ability of understanding mathematical concepts of junior high school students on the triangle and quarter matter. Al Khawarizmi: Jurnal Pendidikan dan Pembelajaran Matematika, 6(1). https://doi.org/10.22373/jppm.v6i1.13102
- Shin, M., & Bryant, D. P. (2015). Fraction interventions for students struggling to learn mathematics. Remedial and Special Education, 36(6). https://doi.org/10.1177/0741932515572910
- Soares, A. E., & Lopes, M. P. (2020). Are your students safe to learn? The role of lecturer’s authentic leadership in the creation of psychologically safe environments and their impact on academic performance. Active Learning in Higher Education, 21(1), 65-78. https://doi.org/10.1177/1469787417742023
- Siregar, N. C., Rosli, R., & Maat, S. M. (2020). The effects of a discovery learning module on geometry for improving students' mathematical reasoning skills, communication and self-confidence. International Journal of Learning, Teaching and Educational Research, 19(3), 214-228. https://doi.org/10.26803/ijlter.19.3.12
- Terwel, J., Oers, B. van, Dijk, I. van, & Eeden, P. van den. (2009). Are representations to be provided or generated in primary mathematics education? Effects on transfer. Educational Research and Evaluation, 15(1). https://doi.org/10.1080/13803610802481265
- 80 Putra., Monalisa, & Widyawati.
- Urban, M., Murauyova, H., & Gadzaova, S. (2017). Didactic principles of visualization of mathematical concepts in primary education. Pedagogika, 127(3), 70–86. Scopus.
- Wahyuni, R., Juniati, D., & Wijayanti, P. (2024). How do math anxiety and self-confidence affect mathematical problem solving?. TEM Journal, 13(1). https://doi.org/10.18421/TEM131-58
References
Ahmad, A., Akhsani, L., & Mohamed, Z. (2023). The profile of students' mathematical representation competence, self-confidence, and habits of mind through problem-based learning models. Infinity Journal, 12(2), 323-338. https://doi.org/10.22460/infinity.v12i2.p323-338
Alcantara, I. (2020). Students' self-confident in STEAM. Schrödinger: Journal of Physics Education, 1(2), 67-73. https://doi.org/10.37251/sjpe.v1i2.66
An, S. A., Tillman, D., Smith, K. C., & Hachey, A. C. (2023). Preservice teachers’ reflections on the use of visual supports to improve mathematics pedagogy. Journal of Mathematics Education at Teachers College, 14(1). https://doi.org/10.52214/jmetc.v14i1.10168
Bandura, A. (2023). Cultivate self‐efficacy for personal and organizational effectiveness. Principles of Organizational Behavior: The Handbook of Evidence‐Based Management 3rd Edition, 113-135. https://doi.org/10.1002/9781394320769.ch6
Bernard, M., & Senjayawati, E. (2019). Developing the Students' Ability in Understanding Mathematics and Self-Confidence with VBA for Excel. Journal of Research and Advances in Mathematics Education, 4(1), 45-56. https://doi.org/10.23917/jramathedu.v4i1.6349
Boaler, J. (2022). Mathematical mindsets: Unleashing students' potential through creative mathematics, inspiring messages and innovative teaching. John Wiley & Sons.
Byiringiro, E. (2024). The effect of students self-confidence on mathematics achievement in high school in korea. East African Journal of Education Studies, 7(1), 231–239. https://doi.org/10.37284/eajes.7.1.1765
Coles, A., & Sinclair, N. (2019). Re-thinking 'concrete to abstract'in mathematics education: Towards the use of symbolically structured environments. Canadian Journal of Science, Mathematics and Technology Education, 19, 465-480. https://doi.org/10.1007/s42330-019-00068-4
Djakaria, I., & Ilham, A. (2022). The impact of parenting and self-confidence on elementary school students’mathematics learning outcomes during the covid-19 pandemic. Open Access Repository, 8(03), 114–120.
Faudziah, L., & Kadarisma, G. (2019). Pengaruh self-confidence siswa terhadap kemampuan penalaran matematis siswa smk negeri di kota cimahi. Journal On Education, 1(3), 315–321.
Fay, N., Babys, U., & Gella, N. J. M. (2022). Analysis of students' mathematical communication skills in terms of self-confidence. International Journal of Humanities Education and Social Sciences, 1(5). https://doi.org/10.55227/ijhess.v1i5.142
Fitayanti, N., Rahmawati, A., & Asriningsih, T. M. (2022). Pengaruh self-confidence terhadap kemampuan pemecahan masalah matematika siswa. JPMI (Jurnal Pembelajaran Matematika Inovatif), 5(2), 335–344. https://doi.org/10.22460/jpmi.v5i2.9678
Goldin, G. A. (2020). Mathematical representations. Encyclopedia of mathematics education, 566-572. https://doi.org/10.1007/978-3-030-15789-0_103
Gunawan, G., & Muflihati, D. (2022). Vocational high school students’ mathematical problem-solving ability viewed from self-confidence. AlphaMath : Journal of Mathematics Education, 8(1). https://doi.org/10.30595/alphamath.v8i1.12423
Exploring the Impact of Self-Confidence on Students' Mathematical Representation Skills 79
Hecht, S. A., & Vagi, K. J. (2010). Sources of group and individual differences in emerging fraction skills. Journal of Educational Psychology, 102(4). https://doi.org/10.1037/a0019824
Hendriana, H., Johanto, T., & Sumarmo, U. (2018). The Role of Problem-Based Learning to Improve Students' Mathematical Problem-Solving Ability and Self Confidence. Journal on Mathematics Education, 9(2), 291-300. https://doi.org/10.22342/jme.9.2.5394.291-300
Hermaitriyana, & Samsir. (2021). Students’ mathematical problem-solving ability reviewed from the self-confidence of junior high school students. Journal of Research on Mathematics Instruction (JRMI), 2(2). https://doi.org/10.33578/jrmi.v2i2.46
Kunhertanti, K., & Santosa, R. H. (2018). The influence of students’ self-confidence on mathematics learning achievement. Journal of Physics: Conference Series, 1097(1), 012126. https://doi.org/10.1088/1742-6596/1097/1/012126
Malinda, P., & Minarti, E. D. (2018). Pengaruh self-confidence terhadap kemampuan koneksi matematis siswa smp. Jurnal Pendidikan Tambusai, 2(3), 1829–1837.
Matabane, M. E., & Machaba, F. M. (2023). First year university students` use of words, symbols and images to convey mathematical ideas: a case of definitions. Research in Social Sciences and Technology, 8(1). https://doi.org/10.46303/ressat.2023.16
Melyana, A., & Pujiastuti, H. (2020). Pengaruh kepercayaan diri terhadap kemampuan berpikir kritis matematis siswa smp. JPMI (Jurnal Pembelajaran Matematika Inovatif), 3(3), 239–246.
Oktarisa, F., Rahmat, T., Rusdi, R., & Firmanti, P. (2024). Pengaruh self-confidence terhadap hasil belajar matematika. Innovative: Journal Of Social Science Research, 4(2), 5532–5543.
Puspalita, A., Nurhanurawati, N., & Coesamin, M. (2022). Pengaruh self-confidence terhadap kemampuan pemecahan masalah matematis siswa. Jurnal Pendidikan Matematika Universitas Lampung, 10(2), 196–207. https://doi.org/10.23960/mtk/v10i2.pp196-207
Rahayu, W., & Zakiah, R. (2018). Analysis of mathematical representation ability development in secondary high school. International Journal of Engineering & Technology, 7(4.38). https://doi.org/10.14419/ijet.v7i4.38.27810
Setiawan, H., Hendriana, H., Sabandar, J., & Fitriani, N. (2022). The effect of self-confidence on the ability of understanding mathematical concepts of junior high school students on the triangle and quarter matter. Al Khawarizmi: Jurnal Pendidikan dan Pembelajaran Matematika, 6(1). https://doi.org/10.22373/jppm.v6i1.13102
Shin, M., & Bryant, D. P. (2015). Fraction interventions for students struggling to learn mathematics. Remedial and Special Education, 36(6). https://doi.org/10.1177/0741932515572910
Soares, A. E., & Lopes, M. P. (2020). Are your students safe to learn? The role of lecturer’s authentic leadership in the creation of psychologically safe environments and their impact on academic performance. Active Learning in Higher Education, 21(1), 65-78. https://doi.org/10.1177/1469787417742023
Siregar, N. C., Rosli, R., & Maat, S. M. (2020). The effects of a discovery learning module on geometry for improving students' mathematical reasoning skills, communication and self-confidence. International Journal of Learning, Teaching and Educational Research, 19(3), 214-228. https://doi.org/10.26803/ijlter.19.3.12
Terwel, J., Oers, B. van, Dijk, I. van, & Eeden, P. van den. (2009). Are representations to be provided or generated in primary mathematics education? Effects on transfer. Educational Research and Evaluation, 15(1). https://doi.org/10.1080/13803610802481265
80 Putra., Monalisa, & Widyawati.
Urban, M., Murauyova, H., & Gadzaova, S. (2017). Didactic principles of visualization of mathematical concepts in primary education. Pedagogika, 127(3), 70–86. Scopus.
Wahyuni, R., Juniati, D., & Wijayanti, P. (2024). How do math anxiety and self-confidence affect mathematical problem solving?. TEM Journal, 13(1). https://doi.org/10.18421/TEM131-58