DEVELOPMENT AND IMPLEMENTATION OF A FIVE-TIER DIAGNOSTIC TEST TO IDENTIFY STUDENT MISCONCEPTIONS ON FRACTIONS: A SIGNIFICANT STEP TOWARDS IMPROVING MATHEMATICS EDUCATION

Authors

  • Herliana Herliana Universitas Jambi
  • Maison Maison Universitas Jambi
  • Syaiful Syaiful Universitas Jambi

DOI:

https://doi.org/10.22437/jiituj.v8i2.34159

Keywords:

Five-Tier Diagnostic Test , Fraction, Misconception

Abstract

Misconceptions in fractions, a significant challenge in mathematics education, occur when students' conceptions do not align with scientific conceptions, yet they firmly believe in the correctness of their conceptions. These deeply rooted misconceptions are difficult to eliminate and not easily identified with conventional instruments. Therefore, this study aims to develop a valid and reliable five-tier diagnostic test instrument to identify students' misconceptions about fractions effectively. The design of this development research involves qualitative and quantitative methods using the 4D model (define, design, develop, disseminate). Sixty-eight seventh-grade students were involved in quantitative instrument quality testing; data were analyzed using SPSS. The final result of the development of this instrument was 12 questions declared valid and reliable. Furthermore, the instrument was applied to 30 seventh-grade students in different schools to identify their misconceptions about fractions. Based on the analysis of the combination of students' answers, it was obtained that 36.4% of students understood the concept, 8.9% were in the false positive category, 7.2% were false negative, 9.7% lacked knowledge, and 37.8% had misconceptions. It was found that the most dominant description of misconceptions (33%), namely, students assume that the smaller the denominator of a fraction, the smaller the value of the fraction. Then, it was also found that students' thinking, in general, causes misconceptions to occur. The practical implication of the results of this study is that teachers can use the instrument and identify misconceptions to develop more effective teaching methods, thereby improving mathematics education by helping students avoid and anticipate misconceptions.

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References

Alkhateeb, M. A. (2020). Correcting misconceptions in fractions using interactive technological learning activities. International Journal of Learning, Teaching and Educational Research, 19(4), 291–308. https://doi.org/10.26803/ijlter.19.4.17.

Amankwaah, D., Appiah-Twumasi, E., Ateko, K. D., & Asamoah, Y. D. (2024). Efficacy of ADDIE instructional design in promoting conceptual change in electronic concepts at tano-north municipality, Ghana. Schrödinger: Journal of Physics Education, 5(3), 76-87. https://doi.org/10.37251/sjpe.v5i3.1064.

Andriani, D. W., Munawaroh, F., Qomaria, N., & Ahied, M. (2021). Profil miskonsepsi peserta didik berbasis taksonomi bloom revisi pada materi ipa konsep tekanan zat [Profile of student misconceptions based on revised bloom's taxonomy on science material on the concept of substance pressure]. Natural Science Education Research, 4(1), 19–27. https://doi.org/10.21107/nser.v4i1.8400.

Anggraeni, F. D. R., Rassy, R. P., & Sereesuchat, S. (2023). Development of a textured picture book equipped with crosswords as a media for learning biology sub-material epithelial tissue. Journal of Educational Technology and Learning Creativity, 1(2), 68-77. https://doi.org/10.37251/jetlc.v1i2.793.

Asamoah, Y. D., Appiah-Twumasi, E., Fiave, J. B. K., & Mamudu, D. (2024). Comparative effects of generative learning strategies and 5e strategies on pre-service teachers’ achievement of integrated science concepts. Integrated Science Education Journal, 5(3), 125-133. https://doi.org/10.37251/isej.v5i3.1002.

Asih, O. Y., & Saptono, S. (2021). Analysis of students’ misconceptions using three tier-test multiple choice on ecosystem material in sma. Journal of Biology Education, 10(3), 277–284. https://doi.org/10.15294/jbe.v10i3.46440.

Azahra, A. P., & Wasis. (2023). Pengembangan, uji validitas, dan uji reliabilitas instrumen tes diagnostik berformat five tier pada materi hukum newton [Development, validity testing, and reliability testing of five tier format diagnostic test instruments on newton's law material]. Jurnal Riset Rumpun Matematika Dan Ilmu Pengetahuan Alam (JURRIMIPA), 2(2), 196–207. https://doi.org/https://doi.org/10.55606/jurrimipa.v2i2.1556.

Banawi, A., Sopandi, W., Kadarohman, A., & Solehuddin, M. (2022). Five-Tier multiple-choice diagnostic test development: Empirical evidences to improve students’ science literacy. Proceedings of the International Conference on Madrasah Reform 2021 (ICMR 2021), 633(Icmr 2021), 131–138. https://doi.org/10.2991/assehr.k.220104.020.

Binti M, M., & Adeshina, A. N. G. (2024). Exploring the effectiveness of the learning cycle model in enhancing mathematics learning for students. Interval: Indonesian Journal of Mathematical Education, 2(2), 45-51. https://doi.org/10.37251/ijome.v2i2.1144.

Celen, Y. (2023). Misconceptions of 9th grade students about numbers. TOJET: The Turkish Online Journal of Educational Technology, 22(2), 25–33.

Dash, A. S. (2020). The Approach to Teaching Fractions: Misconceptions and More. Azim Premji University, July, 26–31.

Dewi, M. S. A. (2022). Analisis miskonsepsi anak sekolah dasar dalam memahami konsep nilai tempat bilangan dua angka pada pembelajaran matematika [Analysis of elementary school children's misconceptions in understanding the concept of place value of two-digit numbers in mathematics learning]. Jurnal Pendidikan Dan Konseling, 4(5), 1349–1358. https://doi.org/10.31004/jpdk.v4i5.6989.

Ekacitra, T. N., Maison, M., & ... (2021). Pengembangan instrumen four-tier test berbasis website pada materi rangkaian listrik di perguruan tinggi [Development of a website-based four-tier test instrument on electrical circuit material in higher education]. Jurnal Pendidikan: Riset dan Konseptual, 5(2), 314-321. https://doi.org/10.28926/riset_konseptual.v5i2.349.

Elvia, R., Rohiat, S., & Ginting, S. M. (2020). Identifikasi miskonsepsi mahasiswa pada pembelajaran daring matematika kimia melalui tes diagnostik three tier multiple choice [Identification of student misconceptions in online learning of chemistry mathematics through three tier multiple choice diagnostic tests]. Hydrogen: Jurnal Kependidikan Kimia, 9(2), 84–96. https://doi.org/10.33394/hjkk.v9i2.4422.

Fakhroni, A. A., & Puotier, Z. (2023). Efforts to improve mathematics learning outcomes using napier bone teaching aids for elementary school students. Interval: Indonesian Journal of Mathematical Education, 1(2), 36-46. https://doi.org/10.37251/ijome.v1i2.779.

Fatonah, U., & Wicaksana, E. J. (2023). The influence of self-efficacy and learning motivation of high school students on the understanding of the concepts of work and energy. EduFisika: Jurnal Pendidikan Fisika, 8(3), 325-335. https://doi.org/10.59052/edufisika.v8i3.29633.

Fernande, R., Sridharan, V., & Kuandee, W. (2024). Innovation learning with POE: Improve understanding student to equality square. Journal of Educational Technology and Learning Creativity, 2(1), 20-28. https://doi.org/10.37251/jetlc.v2i1.977.

Fitriani, R., Maison, Asrial, Purwaningsih, S., & Asma, R. (2023). Diagnosing students’ conception of wave propagation using the five-tier isomorphic instrument. Jurnal Penelitian Pendidikan IPA, 9(11), 9461–9473. https://doi.org/10.29303/jppipa.v9i11.5413.

Fitria, A., Siburian, J., Falani, I., & Muhammad, D. (2024). Applying the rasch model to assess retention and transfer test instruments in science education on additive and addictive substances. Integrated Science Education Journal, 5(2), 101-109. https://doi.org/10.37251/isej.v5i2.864.

Gurel, D. K., Eryilmaz, A., & McDermott, L. C. (2015). A review and comparison of diagnostic instruments to identify students’ misconceptions in science. Eurasia Journal of Mathematics, Science and Technology Education, 11(5), 989–1008. https://doi.org/10.12973/eurasia.2015.1369a.

Hidayat, W. N., K, R. C., & Ale, J. A. S. (2024). Analysis of physics students’ conceptual understanding of image formation in lenses. Schrödinger: Journal of Physics Education, 5(2), 62-67. https://doi.org/10.37251/sjpe.v5i2.882.

Inggit, S. M., Liliawati, W., & Suryana, I. (2021). Identifikasi miskonsepsi dan penyebabnya menggunakan instrumen five-tier fluid static test (5TFST) pada peserta didik kelas xi sekolah menengah atas [Identification of misconceptions and their causes using the five-tier fluid static test (5TFST) instrument in grade XI senior high school students.]. Journal of Teaching and Learning Physics, 6(1), 49–68. https://doi.org/10.15575/jotalp.v6i1.11016.

Istiyono, E. (2022). Diagnostic tests as an important pillar in today’s physics learning: four-tier diagnostic test a comprehensive diagnostic test solution. Journal of Physics: Conference Series, 2392(1), 1–9. https://doi.org/10.1088/1742-6596/2392/1/012001.

Jarrah, A. M., Wardat, Y., & Gningue, S. (2022). Misconception on addition and subtraction of fractions in seventh-grade middle school students. Eurasia Journal of Mathematics, Science and Technology Education, 18(6). https://doi.org/10.29333/ejmste/12070.

Joy, E., She, T., & McCrory, A. (2023). Identify students’ conceptual understanding of momentum material. Journal Evaluation in Education (JEE), 4(4), 151-155. https://doi.org/10.37251/jee.v4i4.787

Kastira, C., & Irwan, I. (2023). The effect of master model to students understanding of mathematical concepts. International Journal of Multidisciplinary Research of Higher Education, 6(1), 19–33. https://doi.org/10.24036/ijmurhica.v6i1.11.

Kharis, N., Namatsi, B. A., & Sengai, W. (2023). Teachers’ efforts to overcome barriers to integrated social studies learning at junior high school. Indonesian Journal of Education Research (IJoER), 4(5), 107-112. https://doi.org/10.37251/ijoer.v4i5.753.

Kibirige, I., & Mamashela, D. (2022). The culturally valued domains in talent studies in Iran: experts views. Journal for the Education of Gifted Young Scientists, 10(1), 99–108. https://doi.org/10.17478/jegys.1071484.

Kiray, S. A., & Simsek, S. (2021). Determination and evaluation of the science teacher candidates’ misconceptions about density by using four-tier diagnostic test. International Journal of Science and Mathematics Education, 19(5), 935–955. https://doi.org/10.1007/s10763-020-10087-5.

Kusuma, R. S. (2020). Improving students’ basic asking skills by using the discovery learning model. Tekno - Pedagogi : Jurnal Teknologi Pendidikan, 10(2), 8-13. https://doi.org/10.22437/teknopedagogi.v10i2.32743.

Maison, Asma, R., Doyan, A., & Saputri, L. (2022). How do additional instructions change the answer? Study of pre-service physics teachers’ misconception about buoyancy. Journal of Physics: Conference Series, 2165(1), 1–8. https://doi.org/10.1088/1742-6596/2165/1/012048.

Maison, M., Hidayati, H., Kurniawan, D. A., & Fitriani, R. (2023). using an isomorphic instrument: What do physics education students think about buoyance?. Jurnal Penelitian Pendidikan IPA (JPPIPA), 9(11), 9937–9944. https://doi.org/10.29303/jppipa.v9i11.5341.

Maison, M., Kurniawan, D. A., & Widowati, R. S. (2021). The quality of four-tier diagnostic test misconception instrument for parabolic motion. Jurnal Pendidikan Dan Pengajaran, 54(2), 359. https://doi.org/10.23887/jpp.v54i2.35261.

Maison, M., Kurniawan, D. A., Yolviansyah, F., Sandra, R. O., & Iqbal, M. (2022). Students’ misconceptions: Viewed from students’ perceptions on magnetic field learning. JPI (Jurnal Pendidikan Indonesia), 11(3), 492–500. https://doi.org/10.23887/jpiundiksha.v11i3.43752.

Maison, M., Lestari, N., & Widaningtyas, A. (2019). Identifikasi miskonsepsi siswa pada materi usaha dan energi [Identifying student misconceptions on work and energy material]. Jurnal Penelitian Pendidikan IPA, 6(1), 32–39. https://doi.org/10.29303/jppipa.v6i1.314.

Mukhlisa, N. (2021). Miskonsepsi pada peserta didik [Misconceptions in students]. SPEED Journal: Journal of Special Education, 4(2), 66-76. https://doi.org/10.31537/speed.v4i2.403.

Naimah, S., Villamor, J. J., & Al Wosabi, A. G. H. (2024). Development of student worksheets based on calligraphy art on the subject of circles. Interval: Indonesian Journal of Mathematical Education, 2(1), 1-7. https://doi.org/10.37251/ijome.v2i1.978.

Novianti, R., Aisyah, W. N., & Sukmawati, W. (2023). Analysis of student’s answer error on understanding of energy concept in Conceptual Change Text (CCT)-Based Learning. Jurnal Penelitian Pendidikan IPA, 9(2), 505–508. https://doi.org/10.29303/jppipa.v9i2.2049.

Pedersen, P. L., & Bjerre, M. (2021). Two conceptions of fraction equivalence. Educational Studies in Mathematics, 107(1), 135–157. https://doi.org/10.1007/s10649-021-10030-7.

Putri, R. D. P., & Febrilia, Y. (2024). Confirmatory Factor Analysis (CFA) on the quality of critical thinking instruments, motivation, and learning achievement of learners. PENDAGOGIA: Jurnal Pendidikan Dasar, 4(2), 73–84.

Ramadany, L. D. (2020). Analisis miskonsepsi siswa kelas v dalam meyelesaikan masalah bangun ruang berdasarkan gender di SD IT Mutiara Insan Sorong [Analysis of misconceptions of grade V students in solving spatial problems based on gender at SD IT Mutiara Insan Sorong]. Jurnal Papeda: Jurnal Publikasi Pendidikan Dasar, 2(1), 17–26. https://doi.org/10.36232/jurnalpendidikandasar.v2i1.406.

Rokhim, D. A., Widarti, H. R., & Sutrisno. (2023). Five-Tier instrument to identify students’ misconceptions and representation: A systematic literature review. Orbital, 15(4), 202–207. https://doi.org/10.17807/orbital.v15i4.17709.

Rosita, I., Liliawati, W., & Samsudin, A. (2020). Pengembangan Instrumen Five-Tier Newton's Laws Test (5TNLT) untuk mengidentifikasi miskonsepsi dan penyebab miskonsepsi siswa [Development of the Five-Tier Newton's Laws Test (5TNLT) Instrument to identify students' misconceptions and causes of misconceptions]. Jurnal Pendidikan Fisika …. https://doi.org/10.29303/jpft.v6i2.2018.

Safitri, K. D., Arifiati, B. A., & Susanti, P. (2023). Analisis miskonsepsi pembelajaran matematika pada guru dan siswa sekolah dasar [Analysis of misconceptions in mathematics learning among elementary school teachers and students. Jurnal Ilmiah Mandalika Education (MADU), 1(2), 254–257. https://doi.org/10.36312/madu.v1i2.51.

Salsabila, T. M., Leonard, & Puteri, N. C. (2023). Pengaruh kemandirian belajar terhadap kemampuan pemecahan masalah matematis [The influence of learning independence on mathematical problem solving abilities]. Journal of Instructional Development Research, 3(1), 9–18. https://doi.org/10.61193/jidr.v3i1.34.

Sandra, R. O., Maison, M., & Kurniawan, D. A. (2022). Pengembangan instrument miskonsepsi menggunakan dreamweaver berbasis web pada materi tekanan berformat Five-Tier [Development of misconception instruments using web-based Dreamweaver on Five-Tier format pressure material]. Jurnal Fisika: Fisika Sains Dan Aplikasinya, 7(1), 22–28. https://doi.org/10.35508/fisa.v7i1.6575.

Sanida, D. S., & Prasetyawati, H. (2023). Pengaruh penggunaan media sosial instagram @infobekasi.coo terhadap followers dalam mendapatkan kebutuhan informasi [The influence of using Instagram social media @infobekasi.coo on followers in getting the information they need]. Inter Script: Journal of Creative Communication |, V(1), 1–17. http://dx.doi.org/10.33376/is.v5i1.1911.

Saputra, H., & Mustika, D. (2022). Analysis the conceptual understanding level and understanding model of pre-service physics teacher. Jurnal Penelitian Pendidikan IPA, 8(5), 2367–2372. https://doi.org/10.29303/jppipa.v8i5.2246.

Saputri, S., Ruqoyyah, S., & Rohaeti, E. E. (2024). Analysis of student difficulties in learning mathematics in elementary school lower grades. Journal of Educational Experts, 7(2), 50–63. https://doi.org/10.30740/jee.v7i2.229.

Sari, R., Omeiza, I. I., & Mwakifuna, M. A. (2023). The influence of number dice games in improving early childhood mathematical logic in early childhood education. Interval: Indonesian Journal of Mathematical Education, 1(2), 61-66. https://doi.org/10.37251/ijome.v1i2.776.

Setiawan, D., & Faoziyah, N. (2020). Development of a Five-Tier diagnostic test to reveal the student concept in fluids. Physics Communication, 4(27), 6–13. https://doi.org/https://doi.org/10.15294/physcomm.v4i1.21181.

Slamet, R., & Wahyuningsih, S. (2022). Validitas dan reliabelitas terhadap instrumen kepuasan kerjq [Validity and reliabelity of job satifaction instruments]. Aliansi: Jurnal Manajemen dan Bisnis, 17(2), 51-58. https://doi.org/10.46975/aliansi.v17i2.428.

Soeharto, S. (2021). Development of a diagnostic assessment test to evaluate science misconceptions in terms of school grades: A rasch measurement approach. Journal of Turkish Science Education, 18(3), 351–370. https://doi.org/10.36681/tused.2021.78.

Suwarni, R. (2021). Analysis the process of observing class iv students in thematic learning in primary schools. Tekno - Pedagogi : Jurnal Teknologi Pendidikan, 11(1), 26-32. https://doi.org/10.22437/teknopedagogi.v11i1.32717.

Syahputra, G., & Edwards , A. J. (2024). Transforming history teaching: Using adobe photoshop e-posters to teach the battle of november 10, 1945 . Journal of Educational Technology and Learning Creativity, 2(1), 29-40. https://doi.org/10.37251/jetlc.v2i1.980.

Tukiyo, T., Efendi, M., Solissa, E. M., Yuniwati, I., & Pranajaya, S. A. (2023). The development of a two-tier diagnostic test to detect student’s misconceptions in learning process. Mudir: Jurnal Manajemen Pendidikan, 5(1), 92–96. https://doi.org/10.55352/mudir.v5i1.33.

Ulfa, N., Jupri, A., & Turmudi, T. (2021). Analisis hambatan belajar pada materi pecahan [Analysis of learning barriers in fraction material]. Research and Development Journal of Education, 7(2), 226–236. https://doi.org/10.30998/rdje.v7i2.8509.

Wijaya, T. P., & Mufit, F. (2023). The Five-Tier multiple choice instruments in parabolic motion for assessing concept understanding of high school students. Journal of Physics: Conference Series, 2582(1), 1–13. https://doi.org/10.1088/1742-6596/2582/1/012041.

Wulansari, S., Oktamaypasha, R., & Setiaji, B. (2023). Slingshoot simulation: Application to help increasing high school students’ concept understanding related to the materials of parabolic motion. EduFisika: Jurnal Pendidikan Fisika, 8(1), 58-67. https://doi.org/10.59052/edufisika.v8i1.24582.

Wulandari, M., Yolviansyah, F., & Misastri, M. (2023). Team assisted individualization: Improving number competency students’ understanding of mathematical concepts. Journal of Basic Education Research, 4(1), 20-30. https://doi.org/10.37251/jber.v4i1.304.

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Published

2024-10-25

How to Cite

Herliana, H., Maison, M., & Syaiful, S. (2024). DEVELOPMENT AND IMPLEMENTATION OF A FIVE-TIER DIAGNOSTIC TEST TO IDENTIFY STUDENT MISCONCEPTIONS ON FRACTIONS: A SIGNIFICANT STEP TOWARDS IMPROVING MATHEMATICS EDUCATION. Jurnal Ilmiah Ilmu Terapan Universitas Jambi, 8(2), 563-576. https://doi.org/10.22437/jiituj.v8i2.34159

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Mathematics and Science Education