The Influence of Mathematical Comprehension and Connection Abilities on Students' Mathematical Representation Ability

Nurma  Izzati; Mukhammad Ali Nurhidayyah

doi:10.58421/misro.v5i1.1196

DOI:

https://doi.org/10.58421/misro.v5i1.1196

Authors

Nurma Izzati Universitas Islam Negeri Siber Syekh Nurjati Cirebon https://orcid.org/0000-0002-7376-1594
Mukhammad Ali Nurhidayyah Universitas Islam Negeri Siber Syekh Nurjati Cirebon

Keywords:

Mathematical comprehension ability , Mathematical connection ability, Mathematical representation ability

Abstract

This study aims to identify the influence of mathematical understanding and mathematical connection skills on students' mathematical representation skills. This study is motivated by the low level of students' mathematical representation skills, which is thought to be influenced by limited conceptual understanding and by difficulties connecting mathematical ideas. This study uses a quantitative, correlational design with a sample of class X-1 students at SMA Negeri 1 Arjawinangun. A total of 30 students were selected through cluster random sampling. Data were collected using a validated essay test to measure mathematical understanding, mathematical connection, and mathematical representation skills, and analyzed using multiple linear regression after meeting the classical assumption tests, including normality, multicollinearity, and heteroscedasticity. The results show that mathematical understanding and mathematical connection skills have a positive and significant influence on students' mathematical representation skills, both partially and simultaneously, where mathematical understanding (β = 0.484, p < 0.05) and mathematical connection (β = 0.298, p < 0.05) significantly contribute to the dependent variable. Furthermore, the two variables simultaneously explained 99.6% of the variance in students' mathematical representation skills (R² = 0.996), indicating a very strong predictive relationship. This finding highlights the importance of strengthening students' conceptual understanding and their ability to connect mathematical ideas to improve mathematical representation skills.

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References

W. Sinaga, B. H. Parhusip, R. Tarigan, and S. Sitepu, “Perkembangan Matematika Dalam Filsafat dan Aliran Formalisme Yang Terkandung Dalam Filsafat Matematika,” vol. 02, 2021.

T. Subroto and W. Sholihah, “Analisis Hambatan Belajar Pada Materi Trigonometri Dalam Kemampuan Pemahaman Matematis Siswa,” IndoMath Indones. Math. Educ., vol. 1, no. 2, p. 109, Aug. 2018, doi: 10.30738/indomath.v1i2.2624.

B. Y. G. Putra, N. T. Rosita, and W. Hidayat, “Profile of mathematical representation ability of junior high school students in Indonesia,” J. Phys. Conf. Ser., vol. 1657, no. 1, p. 012003, Oct. 2020, doi: 10.1088/1742-6596/1657/1/012003.

N. Izzati, “Meningkatkan Kemampuan Pemahaman Matematis Mahasiswa Pgmi Pada Mata Kuliah Pembelajaran Matematika Mi/Sd Melalui Pembelajaran Tutor Sebaya (Studi Kuasi Eksperimen terhadap Mahasiswa Jurusan PGMI IAIN Syekh Nurjati Cirebon),” Al Ibtida J. Pendidik. Guru MI, vol. 1, no. 1, Jun. 2014, doi: 10.24235/al.ibtida.snj.v1i1.345.

H. D. Putra, H. Setiawan, D. Nurdianti, I. Retta, and A. Desi, “Kemampuan Pemahaman Matematis Siswa Smp Di Bandung Barat,” J. Penelit. Dan Pembelajaran Mat., vol. 11, no. 1, Feb. 2018, doi: 10.30870/jppm.v11i1.2981.

N. Izzati and R. A. Farizi, Kemampuan Matematis. Jalan Waruroyom-Depok-Cirebon 45155: CV.Zenius Publisher, 2025.

R. Masfufah and E. A. Afriansyah, “Analisis Kemampuan Literasi Matematis Siswa melalui Soal PISA,” Mosharafa J. Pendidik. Mat., vol. 10, pp. 291–300, 2021, doi: https://doi.org/10.31980/mosharafa.v10i2.662.

H. Prastyo, “Kemampuan Matematika Siswa Indonesia Berdasarkan TIMSS,” J. Padegogik, vol. 3, no. 2, pp. 111–117, Jul. 2020, doi: 10.35974/jpd.v3i2.2367.

L. E. Afri, “Kemampuan Representasi Matematis Peserta Didik Kelas Viii Smp Muhammadiyah Rambah,” J. Educ. Dev. Inst. Pendidik. Tapanuli Selatan, vol. 9, no. 1, pp. 53–56, 2021, doi: 10.37081/ed.v9i1.2251.

S. Adliani, A. Asmin, and H. Hasratuddin, “The Influence of Realistic Mathematical Approach to Understanding Concept and the Mathematical Connection Ability of Islamic Private Vocational School Students Hikmatul Fadhillah Medan Class VII,” Bp. Int. Res. Crit. Linguist. Educ. BirLE J., vol. 3, no. 1, pp. 487–499, Feb. 2020, doi: 10.33258/birle.v3i1.844.

E. Komala and D. Suryadi, “Analysis of internal and external mathematical representation ability to senior high school students in Indonesia,” J. Phys. Conf. Ser., vol. 1132, p. 012047, Nov. 2018, doi: 10.1088/1742-6596/1132/1/012047.

M. D. Siagian, “Kemampuan Koneksi Matematik Dalam Pembelajaran Matematika,” vol. 2, no. 1, 2016.

A. Heinze, J. R. Star, and L. Verschaffel, “Flexible and adaptive use of strategies and representations in mathematics education,” ZDM, vol. 41, no. 5, pp. 535–540, Oct. 2009, doi: 10.1007/s11858-009-0214-4.

Kanisius Mandur, Wayan Sadra, and I Nengah Suparta, “Kontribusi Kemampuan Koneksi, Kemampuan Representasi, Dan Disposisi Matematis Terhadap Prestasi Belajar Matematika Siswa Sma Swasta Di Kabupaten Manggarai,” J. Pendidik. Dan Kebud. Missio, vol. 8, no. 1, pp. 65–72, Jan. 2016, doi: 10.36928/jpkm.v8i1.84.

R. Duval, Understanding the Mathematical Way of Thinking – The Registers of Semiotic Representations. Cham: Springer International Publishing, 2017. doi: 10.1007/978-3-319-56910-9.

J. Cai and S. Hwang, “Learning to teach through mathematical problem posing: Theoretical considerations, methodology, and directions for future research,” Int. J. Educ. Res., vol. 102, p. 101391, 2020, doi: 10.1016/j.ijer.2019.01.001.

A. Azmidar and H. Husan, “Enhancing Students’ Mathematical Representation Ability Through Mathematics Learning,” Hipotenusa J. Res. Math. Educ. HJRME, vol. 5, no. 2, pp. 90–104, Aug. 2022, doi: 10.36269/hjrme.v5i2.969.

W. Widada, K. U. Z. Nugroho, W. P. Sari, and G. A. Pambudi, “The ability of mathematical representation through realistic mathematics learning based on ethnomathematics,” J. Phys. Conf. Ser., vol. 1318, no. 1, p. 012073, Oct. 2019, doi: 10.1088/1742-6596/1318/1/012073.

N. Fajriah, C. Utami, and M. Mariyam, “Analisis Kemampuan Representasi Matematis Siswa pada Materi Statistika,” J. Educ. Rev. Res., vol. 3, no. 1, p. 14, Jul. 2020, doi: 10.26737/jerr.v3i1.2024.

S. Prayitno, U. Lu’luilmaknunn, N. Sridana, and S. Subarinah, “Analyzing the Ability of Mathematics Students as Prospective Mathematics Teachers on Multiple Mathematical Representation:,” presented at the 2nd Annual Conference on Education and Social Science (ACCESS 2020), Mataram, Indonesia, 2021. doi: 10.2991/assehr.k.210525.096.

D. P. Utomo and D. L. Syarifah, “Examining Mathematical Representation to Solve Problems in Trends in Mathematics and Science Study: Voices from Indonesian Secondary School Students,” Int. J. Educ. Math. Sci. Technol., vol. 9, no. 3, pp. 540–556, Apr. 2021, doi: 10.46328/ijemst.1685.

H. Syahrizal and M. S. Jailani, “Jenis-Jenis Penelitian Dalam Penelitian Kuantitatif dan Kualitatif,” J. QOSIM J. Pendidik. Sos. Hum., vol. 1, no. 1, pp. 13–23, May 2023, doi: 10.61104/jq.v1i1.49.

B. Rittle-Johnson, M. Schneider, and J. R. Star, “Not a One-Way Street: Bidirectional Relations Between Procedural and Conceptual Knowledge of Mathematics,” Educ. Psychol. Rev., vol. 27, no. 4, pp. 587–597, Dec. 2015, doi: 10.1007/s10648-015-9302-x.

A. Fauzan, E. Musdi, and R. Yani, “The Influence of Realistic Mathematics Education (RME) Approach on Students’ Mathematical Representation Ability,” in Proceedings of the 1st International Conference on Education Innovation (ICEI 2017), Surbaya, Indonesia: Atlantis Press, 2018. doi: 10.2991/icei-17.2018.3.

K. Gravemeijer, M. Stephan, C. Julie, F.-L. Lin, and M. Ohtani, “What Mathematics Education May Prepare Students for the Society of the Future?,” Int. J. Sci. Math. Educ., vol. 15, no. S1, pp. 105–123, May 2017, doi: 10.1007/s10763-017-9814-6.