Analisis kemampuan representasi matematis berdasarkan self efficacy siswa pada materi fungsi kuadrat

Wan Siti Fatimah Azzahra Hasyari; Linda Rosmery; Nur Asma Riani Siregar

doi:10.61291/jpi.v6i2.46

Authors

Wan Siti Fatimah Azzahra Hasyari Universitas Maritim Raja Ali Haji, Indonesia Author
Linda Rosmery Universitas Maritim Raja Ali Haji, Indonesia Author
Nur Asma Riani Siregar Universitas Maritim Raja Ali Haji, Indonesia Author

DOI:

https://doi.org/10.61291/jpi.v6i2.46

Keywords:

Representasi matematis, self-efficacy, fungsi kuadrat, mathematical representation, quadratic functions, problem solving

Abstract

Mathematical representation ability is a critical competency that students must possess to understand and solve mathematical problems, particularly in quadratic functions. This study aims to describe students’ mathematical representation abilities based on their level of self-efficacy. A descriptive qualitative approach was used with six tenth-grade students selected based on their self-efficacy questionnaire results, consisting of two students each from high, medium, and low self-efficacy categories. The research instruments included a self-efficacy questionnaire, a mathematical representation test, and a semi-structured interview guide. The results revealed that students with high self-efficacy were able to fulfill all indicators of mathematical representation—symbolic, verbal, and visual—comprehensively and accurately. Students with medium self-efficacy could meet the three indicators, but with some errors in symbolic representation. In contrast, students with low self-efficacy mostly showed verbal representation ability and encountered difficulties in understanding and converting between visual and symbolic forms. These findings suggest a positive correlation between students’ self-efficacy levels and the quality and completeness of their mathematical representations. Thus, efforts to enhance students' self-efficacy should be considered an essential part of mathematics instruction.

References

Absorin, & Sugiman. (2018). Eksplorasi kemampuan penalaran dan representasi matematis siswa sekolah menengah pertama. Phytagoras, 13(2), 189–202. https://doi.org/10.21831/pg.v13i2.21249

Alwisol. (2004). Psikologi kepribadian. PT UMM Press.

Bandura, A. (1977). Self-efficacy: Toward a unifying theory of behavioral change. Psychological Review, 84(2), 191–215.

Eviyanti, R., & Yerizon. (2022). Analisis kemampuan representasi matematis ditinjau dari karakteristik cara berpikir peserta didik. Jurnal Cendekia: Jurnal Pendidikan Matematika, 6(1), 887–897. https://doi.org/10.31004/cendekia.v6i1.1187

Indayani, M. R. (2017). Analisis kemampuan representasi matematis dalam menyelesaikan soal matematika pada materi sistem persamaan dua variabel (SPLDV) ditinjau dari self-efficacy siswa kelas VIII SMP [Skripsi, Universitas Islam Negeri Mataram].

Jatisunda, M. G. (2017). Hubungan self-efficacy siswa SMP dengan kemampuan pemecahan masalah matematis. Theorems: The Original Research of Mathematics, 1(2), 24–30. https://doi.org/10.31949/th.v1i2.375

Lette, I., & Manoy, J. T. (2019). Representasi siswa SMP dalam memecahkan masalah matematis ditinjau dari kemampuan matematika. Mathedunesa, 8(3), 574–580. https://doi.org/10.26740/mathedunesa.v8n3.p569-575

Nadia, L. N., Waluyo, S., & Isnarto. (2017). Analisis kemampuan representasi matematis ditinjau dari self-efficacy peserta didik melalui inductive discovery learning. Unnes Journal of Mathematics Education Research, 6(2), 242–250.

NCTM. (2000). Principles and standards for school mathematics. The National Council of Teachers of Mathematics.

Rohmah, A. F., Mirza, A., & Fitriawan, D. (2023). Bentuk representasi matematis siswa ditinjau dari self-efficacy pada materi kekongruenan dan kesebangunan di kelas IX A. Jurnal AlphaEuclidEdu, 4(2), 221–238. https://doi.org/10.26418/ja.v4i2.72180

Sabirin, M. (2014). Representasi dalam pembelajaran matematika. JPM IAIN Antasari, 1(2), 33–44.

Selviani, V. (2022). Hubungan antara efikasi diri, kebiasaan berpikir, dan kemampuan representasi matematis siswa SMA [Skripsi, UIN Syarif Hidayatullah Jakarta].

Supriadi, E., Yanti, H. A., & Tarmuji, A. (2023). Hubungan self-efficacy dan kemampuan representasi matematis siswa. Jurnal Pendidikan Matematika Raflesia, 8(2), 191–200.

Triono, A. (2017). Analisis kemampuan representasi matematis siswa kelas VIII SMP Negeri 3 [Skripsi, Universitas Negeri Yogyakarta].

Villegas, J. L., Castro, E., & Gutiérrez, J. (2009). Representation in problem solving: A case study with optimizing problems. Journal of Research in Educational Psychology, 7(17), 247–270.