Development of A Diagnostic Test in The Form of A Three Tier Essay Test to Identify Understanding of Mathematical Concepts on The Material of The System of Linear Equations of Three Variables

  • Nur Azma Fakultas Tarbiyah dan Keguruan, UIN Alauddin Makassar
    (ID)
  • Sitti Mania Fakultas Tarbiyah dan Keguruan, UIN Alauddin Makassar
    (ID)
  • Baharuddin Fakultas Tarbiyah dan Keguruan, UIN Alauddin Makassar
    (ID)
Keywords: Diagnostic Test, Three Tier Essay Test, Math Concept Understanding Ability

Abstract

This study aims to develop and produce a three tier essay test instrument to identify understanding of mathematical concepts on the material of the system of linear equations of three variables (SPLTV). This research is categorized as development research with the Formative Research development model (Tessmer) through the stages of (1) preliminary, (2) self evaluation, (3) prototyping, and (4) field test. The test subjects in this study were students of class X.2 MAN 1 Soppeng. This development research produces (1) a diagnostic test instrument in the form of a three tier essay test which is used to identify students' understanding of mathematical concepts on SPLTV material; (2) the three tier essay test developed meets the valid criteria because the average score on the CVR and CVI is 1 with a very suitable category, the average results of the one to one stage student response questionnaire trial of 77.78% with a positive category and at the small group stage of 85.19% with a very positive response category, the average result of the analysis of the difficulty level of the question is 0, 54 with a moderate category, the average result of the differentiator analysis of 0.33 with a sufficient category, and the reliability test result of 0.963 with a very high interpretation (reliable), and the results of data analysis of the results of the three tier essay test at the field test stage obtained the average ability to understand the mathematical concepts of class X students. 2 MAN 1 Soppeng in Tier I, which is 46.45%, is in the sufficient category. The results of categorizing the ability to understand the mathematical concepts of students obtained as many as 23.27% have scientific knowledge, 19.81% have misconceptions, 0% have no confidence, and as many as 56.92% lack understanding; (3) students experience errors in understanding the concept of SPLTV material, transformation errors, errors in understanding the problem, and errors in the calculation process. This is because students are less careful in reading and understanding the meaning of the problems they do.

Downloads

Download data is not yet available.

References

Aledya, V. (2019). Kemampuan Pemahaman Konsep Matematika Pada Siswa. 2(May), 0–7.

Amalia, R., Aufin, M., & Khusniah, R. (2018). Analisis Kesalahan dalam Menyelesaikan Soal Cerita pada Pokok Bahasan Persamaan Linier Berdasarkan Newman Kelas X-Mia di SMA Bayt Al-Hikmah Kota Pasuruan. Prosiding SNMPM II, 2(1), 346–359.

Fajar, A. P., Kodirun, Suhar, & Arapu, L. (2018). Analisis Kemampuan Pemahaman Konsep Matematis Siswa Kelas VIII SMP Negeri 17 Kendari. Jurnal Pendidikan Matematika, 9(2), 229. https://doi.org/10.36709/jpm.v9i2.5872

Fitriah, L. (2017). Diagnosis Miskonsepsi Siswa pada Materi Kalor dengan Menggunakan Three-Tier Essay dan Open–Ended Test Items. Berkala Ilmiah Pendidikan Fisika, 5(2), 168. https://doi.org/10.20527/bipf.v5i2.3007

Hartinah, S., & Ferdianto, F. (2019). Identifikasi Kesalahan Siswa Dalam Memahami Materi SPLTV. Prosiding Seminar Nasional …, 1(1), 484–492.

Hidayanto, T., Subanji, & Hidayanto, E. (2017). Deskripsi Kesalahan Struktur Berpikir Siswa Dalam Menyelesaikan Masalah Geometri Serta Defragmentingnya: Suatu Studi Kasus. Jurnal Kajian Pembelajaran Matematika, 1(1), 72–81.

Hidayat, W., & Sumarno, U. (2013). Kemampuan Komunikasi dan Berpikir Logis Matematik Serta Kemandirian Belajar. Jurnal Matematika Dan Pendidikan Matematika, 2(1), 1–14.

Kartika, Y. (2018). Analisis Kemampuan Pemahaman Konsep Matematis Peserta Didik Kelas VII SMP pada Materi Bentuk Aljabar. Jurnal Pendidikan Tambusai, 2(4), 777–785.

Kuswanti, Y., Sudirman, & Nusantara, T. (2018). Deskripsi Kesalahan Siswa pada Penyelesaian Masalah Sistem Persamaan Linear Tiga Variabel (SPLTV). Jurnal Pendidikan: Teori, Penelitian, Dan Pengembangan, 3(7), 865–872.

Nahdi, D. S., & Jatisunda, M. G. (2020). Conceptual Understanding And Procedural Knowledge : A Case Study on Learning Mathematics of Fractional Material in Elementary School. Journal of Physics: Conference Series PAPER, 1447(1), 6. https://doi.org/10.1088/1742-6596/1477/4/042037

Pesman, H. (2005). Development Of A Three Tier Test To Asses Ninth Grade Student’s Misconceptions About Simple Electric Circuits. In Middle East Technical University.

Ramadhani, K. L., & Firmansyah, D. (2021). Analisis Kesulitan Belajar Matematika Siswa pada Materi Sistem Persamaan Linear Tiga Variabel (SPLTV). MAJU : (Jurnal Ilmiah Pendidikan Matematika), 8(1), 448–453.

Salamah, S., Susiaty, U. D., & Ardiawan, Y. (2022). Instrumen Three-Tier Test Berbasis Kemampuan Representasi Matematis untuk Mengetahui Miskonsepsi Siswa. Plusminus: Jurnal Pendidikan Matematika, 2(3), 391–404. https://doi.org/10.31980/plusminus.v2i3.2205

Sarpong, D., Boakye, D., Ofosu, G., & Botchie, D. (2022). Technovation The Three Pointers of Research and Development ( R & D ) for Growth-Boosting Sustainable Innovation System. Technovation, 122(2023).

Sriyanti, A., Mania, S., & A, N. H. (2019). Pengembangan Instrumen Tes Diagnostik Berbentuk Uraian Untuk Mengidentifikasi Pemahaman Konsep Matematika Wajib Siswa MAN 1 Makassar. Jurnal Pendidikan Matematika, 2(1), 57–69.

Umam, M. A., & Zulkarnaen, R. (2022). Analisis Kemampuan Pemahaman Konsep Matematis Siswa Dalam Materi Sistem Persamaan Linear Dua Variabel. Jurnal Educatio, 8(1), 303–312. https://doi.org/10.31949/educatio.v8i1.1993

Utami, A. J. L., & Zulkarnaen, R. (2020). Analisis Kesalahan Siswa Kelas XI Dalam Menyelesaikan Soal Cerita Pada Materi Sistem Persamaa Linear Tiga Variabel ( SPLTV ). Prosiding Sesiomadika, 2(1b), 448–458.

Utami, Y., Siagian, T. A., Utari, T., Agustinsa, R., & Susanta, A. (2022). Diagnosis Kesalahan Siswa Dalam Menyelesaikan Soal. Jurnal Penelitian Pembelajaran Matematika Sekolah (JP2MS), 6(3), 398–409. https://doi.org/10.33369/jp2ms.6.3

Yuliany, N., Hidayat, R., Nursalam, Suharti, & Baharuddin. (2022). Pengembangan Alat Ukur Kemampuan Pemahaman Konsep Pada Pokok Bahasan Sistem Persamaan Linear Tiga Variabel. Al Asma: Journal of Islamic Education, 4(2), 95–107.

Published
2024-05-31
How to Cite
Azma, Nur, Sitti Mania, and Baharuddin. 2024. “Development of A Diagnostic Test in The Form of A Three Tier Essay Test to Identify Understanding of Mathematical Concepts on The Material of The System of Linear Equations of Three Variables”. Alauddin Journal of Mathematics Education 6 (1), 1-23. https://doi.org/10.24252/ajme.v6i1.43850.
Section
Artikel
Abstract viewed = 14 times