Assessing Mathematical Connections Abilities in Algebraic Operations: A Qualitative Case Study of Eight-Grade Students

Widi Rahmawati Drajat, Al Jupri

Abstract


With a case study approach, this qualitative research aims to determine students' mathematical connection ability in solving mathematical problems with algebraic arithmetic operations. The subjects of this study were 30 students of grade VIII at a junior high school in Indramayu Regency. The data collection technique in this study used several instruments, namely mathematical connection ability test questions, interviews, and documentation. The data analysis technique used a descriptive method consisting of three main stages: data reduction, data presentation, and conclusion. Based on the analysis of the entire question instrument, it was found that most students had difficulty solving problems by linking relationships between topics in mathematics. In addition, students are not yet able to think about using mathematical concepts in other fields of study and have not been able to apply mathematical concepts widely in everyday life. This low mathematical connection ability can be caused by several factors, including students' lack of conceptual understanding, learning methods that have not optimized the relationship between topics in mathematics, and the lack of contextual and applicable practice questions. This indicates that the learning provided still tends to focus on procedures without emphasizing the relationship between concepts in more depth. More innovative learning strategies are needed to improve students' mathematical connection skills, such as problem-based learning, contextual learning, and integrating mathematical concepts with real life and other fields of study. Thus, the level of mathematical connection abilities of grade VIII students is still relatively low, so efforts are needed to improve learning strategies to develop mathematical thinking skills more broadly and connect with various contexts.      

 

Keywords: algebraic operation, mathematical connection ability, mathematical problems.

Full Text:

PDF

References


Apipah, S., & Kartono. (2017). Analisis kemampuan koneksi matematis berdasarkan gaya belajar siswa pada model pembelajaran VAK dengan self-assessment. Unnes Journal of Mathematics Education Research, 6(2), 148–156. Retrieved from https://journal.unnes.ac.id/sju/index.php/ujmer/article/view/20472

Ayunani, D. S., Mardiyana, & Indriati, D. (2020). Analyzing mathematical connection skills in solving a contextual problem. Journal of Physics: Conference Series, 1511(1). https://doi.org/10.1088/1742-6596/1511/1/012095

Bernard. (2014). Meningkatkan kemampuan penalaran matematik siswa SMA melalui game adobe flash cs 4. Prosiding Seminar Nasional Pendidikan Matematika STKIP Siliwangi, 2, 205–213.

Brousseau, Guy. (2002). Theory of didactical situations in mathematics. Kluwer Academic Publishers. https://doi.org/10.1007/0-306-47211-2

Budiyono. (2008). Kesalahan mengerjakan soal cerita dalam pembelajaran matematika. Jurnal Penelitian Pendidikan, 11(1). Retrieved from https://jurnal.uns.ac.id/paedagogia/article/view/35977/pdf

Creswell, J. W. (2018). Research design: qualitative, quantitative, and mixed methods approaches. SAGE Publications.

Diana, N., Suryadi, D., & Dahlan, J. A. (2020). Analysis of students’ mathematical connection abilities in solving the problem of circle material: Transposition study. Journal for the Education of Gifted Young Scientists, 8(2), 829–842. https://doi.org/10.17478/JEGYS.689673

Dolores-Flores, C., Rivera-López, M. I., & García-García, J. (2019). Exploring mathematical connections of pre-university students through tasks involving rates of change. International Journal of Mathematical Education in Science and Technology, 50(3), 369–389. https://doi.org/10.1080/0020739X.2018.1507050

Fadillah, A., Alim, J. A., & Antosa, Z. (2022). Analisis kesulitan siswa pada materi pengenalan geometri di kelas 2 SDN 130 pekanbaru. Tunjuk Ajar: Jurnal Penelitian Ilmu Pendidikan, 5(1), 11. https://doi.org/10.31258/jta.v5i1.11-20

Farida, I., Lukman Hakim, D., Singaperbangsa Karawang, U., Ronggo Waluyo, J. H., Telukjambe Timur, K., & Barat, J. (2021). Kemampuan berpikir aljabar siswa SMP pada materi sistem persamaan linear dua variabel (SPLDV). Jurnal Pembelajaran Matematika Inovatif, 4(5). Retrieved from https://journal.ikipsiliwangi.ac.id/index.php/jpmi/article/view/7807

Fendrik, M. (2019). Pengembangan kemampuan koneksi matematis dan habits of mind pada siswa. Retrieved from https://books.google.co.id/books?id=iPqtDwAAQBAJ &printsec=copyright&redir_esc=y#v=onepage&q&f=false

Fitriani, N., & Nurfauziah, P. (2020). Meningkatkan kemampuan advanced mathematical thinking dengan menggunakan model pembelajaran matematika knisley pada mata kuliah trigonometri. Jurnal Pembelajaran Matematika Inovatif, 3(1). Retrieved from https://journal.ikipsiliwangi.ac.id/index.php/jpmi/article/view/3937

Jingga, A. A., Mardiyana, & Triyanto. (2018). Pendekatan dan penilaian pembelajaran pada kurikulum 2013 revisi 2017 yang mendukung peningkatan kemampuan koneksi matematis siswa. Jurnal Elektronik Pembelajaran Matematika, 5(3), 286–299. Retrieved from https://jurnal.uns.ac.id/jpm/article/view/26076

Khairin, Sofiyan, Ramadhani, D., & Sukirno. (2019). Hambatan epistemologi siswa dalam pembelajaran perkalian bilangan di kelas II SD negeri 10 langsa tahun pelajaran 2018/2019. Journal of Basic Education Studies, 2(2). Retrieved from https://ejurnalunsam.id/index.php/jbes/article/view/1913

Kiswanto Kenedi, A., Helsa, Y., Ariani, Y., Zainil, M., Hendri Universitas Negeri Padang, S., & Hamka Air Tawar, J. (2019). Mathematical connection of elementary school students to solve mathematical problems. Journal on Mathematics Education, 10(1), 69–80.

Krisno, B. P., Sukestiyarno, Y. L., & Cahyono, A. N. (2019). Analisis kemampuan koneksi matematis ditinjau dari self-efficacy siswa kelas VII pokok bahasan geometri. Prosiding Seminar Nasional Pascasarjana UNNES.

Lestari, K. E. (2014). Implementasi brain-based learning untuk meningkatkan kemampuan koneksi dan kemampuan berpikir kritis serta motivasi belajar siswa SMP. Jurnal Pendidikan Unsika, 2(1), 36–46. Retrieved from https://www.researchgate.net/publication/343230100

Maharani, R., Rasiman, & Rahmawati, N. D. (2019). Analisis berpikir kritis siswa SMP dalam menyelesaikan soal matematika bentuk cerita. Imajiner: Jurnal Matematika Dan Pendidikan Matematika, 1(4), 67–71. https://doi.org/10.26877/imajiner.v1i4.3883

Malihatuddarojah, D., Charitas, R., & Prahmana, I. (2019). Analisis kesalahan siswa dalam menyelesaikan permasalahan operasi bentuk aljabar. Jurnal Pendidikan Matematika, 13(1), 1–8. https://doi.org/10.22342/jpm.13.1.6668.1-8

Mulyani, A., Indah, E. K. N., & Satria, A. P. (2018). Analisis kemampuan pemahaman matematis siswa SMP pada materi bentuk aljabar. Mosharafa: Jurnal Pendidikan Matematika, 7(2), 251–262. Retrieved from https://www.researchgate.net/publication/332398384_analisis_kemampuan_pemahaman_matematis_siswa_smp_pada_materi_bentuk_aljabar

National Council of Teachers of Mathematics. (2000). Principles standards and for school mathematics. United States of America: Key Curriculum Press.

Nugraha, N., Kadarisma, G., & Setiawan, W. (2015). Analisis kesulitan belajar matematika materi bentuk aljabar pada siswa SMP kelas VII. Journal On Education, 1(2), 323–334. Retrieved from https://jonedu.org/index.php/joe/article/view/72

Pradika, I. D., Amin, D. M., & Khabibah, M. (2019). Relational thinking in problem-solving mathematics based on adversity quotient and visual learning style. International Journal of Trends in Mathematics Education Research, 2(4), 161–164. https://doi.org/https://doi.org/10.33122/ijtmer.v2i4.61

Putri, H. E. (2017). Pendekatan concrete-pictorial-abstract (CPA), kemampuan-kemampuan matematis dan rancangan pembelajaran (N. E. , J. R. Suryani, Ed.; pp. 28–30). UPI Sumedang Press. Retrieved from https://books.google.co.id/books?id=PaWoDwAAQBAJ&pg=PA28&dq=kemampuan+koneksi+matematis&hl=en&sa=X&ved=0ahUKEwjIxMX9i9TkAhVlHo8KHY0yA2YQ6AEIMDAB#v=onepage&q&f=false

Putri, & Wutsqa, D. U. (2019). Students’ mathematical connection ability in solving real-world problems. Journal of Physics: Conference Series, 1320(1). https://doi.org/10.1088/1742-6596/1320/1/012066

Qondiyana, D., Riyadi, & Siswanto. (2021). An analysis of the ability of mathematical connection with the material of rectangles and triangles. IOP Conference Series: Earth and Environmental Science, 1796(1). https://doi.org/10.1088/1742-6596/1796/1/012040

Rohmah, S., & Rinaldi, A. (2019). Analisis kemampuan komunikasi matematis: dampak kecerdasan emosional pada materi operasi hitung aljabar. Seminar Nasional Matematika Dan Pendidikan Matematika UIN Raden Intan Lampung. Retrieved from http://ejournal.radenintan.ac.id/index.php/pspm/article/view/4381

Sari, D. N. O., Mardiyana, M., & Pramudya, I. (2020). Analysis of the ability of mathematical connections of middle school students in the field of algebra. Journal of Physics: Conference Series, 1469(1). https://doi.org/10.1088/1742-6596/1469/1/012159

Setialesmana, D., Nur Anisa, W., & Herawati, L. (2017). Asosiasi kemampuan koneksi dan komunikasi matematik mahasiswa melalui metode inkuiri model alberta. Jurnal Siliwangi, 3(2), 258–262. Retrieved from https://jurnal.unsil.ac.id/ index.php/JSSP/article/view/340

Siregar, N. D., & Surya, E. (2017). Analysis of students’ junior high school mathematical connection ability. International Journal of Sciences: Basic and Applied Research, 33(2), 309–320.

Subchan, Winarni, Mufid, M. S., Fahim, K., & Syaifudin, W. H. (2018). Buku guru matematika (Revisi 2018). Kementerian Pendidikan dan Kebudayaan. Retrieved from http://buku.kemdikbud.go.id

Widiati, Y., Kamid, K., & Anggerein, E. (2020). Analisis kemampuan penalaran matematis ditinjau dari persepsi siswa terhadap materi operasi aljabar di kelas VII SMP. Jurnal Penelitian Pendidikan Dan Pengajaran Matematika, 6(2), 83–90. https://doi.org/10.37058/jp3m.v6i2.1951




DOI: https://doi.org/10.23960/jpmipa.v26i1.pp340-355

Refbacks

  • There are currently no refbacks.


Copyright (c) 2025 Jurnal Pendidikan MIPA

Creative Commons License
This work is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.

Creative Commons License
The copyright is reserved to The Jurnal Pendidikan Progresif that is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.