The Trigonometric Adaptive Worksheet Performance in Optimizing Trigonometric Thinking of Prospective Mathematics Teacher: Single Subject Research

Usep Sholahudin, Rina Oktaviyanthi

Abstract


The ability to think in trigonometry supports the understanding of trigonometry concepts, which still pose challenges for first-year university students, including prospective teachers. The Trigonometric Adaptive Worksheet is one of the student worksheets to optimize trigonometric thinking abilities. This research aimed to assess the performance of the Trigonometric Adaptive Worksheet on the trigonometric thinking abilities of prospective mathematics teachers. Quantitative descriptive research with a Single Subject Research method and a basic design of A (baseline) - B (intervention) was employed as the research approach. Three prospective mathematics teachers from three categories of high, moderate, and low mathematical abilities were selected as research subjects. The data related to changes in individual behavior regarding progress in trigonometric thinking abilities were analyzed using within-condition analysis and between-condition analysis procedures. Based on the single-subject data analysis of the three research subjects, it is evident that moderate and low subjects tend to benefit more from implementing the Trigonometric Adaptive Worksheet. These findings have important implications, suggesting adaptive worksheets can enhance individual learning outcomes by tailoring content to individuals' needs. The worksheet adaptability and personalization provide an opportunity to improve trigonometry instruction's effectiveness.

Keywords


single subject research, trigonometric adaptive worksheet, trigonometric thinking skills

Full Text:

PDF

References


Albahboh, H., Gingold, H., & Quaintance, J. (2019). Trigonometry in complex inner product spaces. Linear Algebra and Its Applications, 575, 216–234. https://doi.org/10.1016/J.LAA.2019.04.014

Bedada, T. B., & Machaba, F. (2022). The effect of GeoGebra on STEM students learning trigonometric functions. Http://Www.Editorialmanager.Com/Cogentedu, 9(1), 2034240. https://doi.org/10.1080/2331186X.2022.2034240

Bhoke, W., & Bara, F. E. (2021). Pengembangan Lembar Kerja Siswa (LKS) berbasis pendekatan penemuan terbimbing berbantuan GeoGebra untuk membelajarkan materi trigonometri pada siswa kelas X SMA. Jurnal Pendidikan Tambusai, 5(3), 10429-10443. https://jptam.org/index.php/jptam/article/view/2648/2300

Byers, T., Leighton, V., Leggett, J., Krzensk, A., Adamson, R., Pollock, C., & MacMahon, S. (2022). The impact of a preparatory science of learning intervention in secondary schools contexts in Australia. Review of Education, 10(1), 1-46. https://doi.org/10.1002/REV3.3340

Catagnus, R. M., Garcia, Y. A., & Zhang, D. X. (2023). Single-subject design studies of mindfulness interventions for behavior change: A scoping review and behavioral conceptualization. Advances in Neurodevelopmental Disorders, 7(2), 133–164. https://doi.org/10.1007/S41252-022-00294-2/METRICS

Çekmez, E. (2020). What generalizations do students achieve with respect to trigonometric functions in the transition from angles in degrees to real numbers?. The Journal of Mathematical Behavior, 58, 100778. https://doi.org/10.1016/J.JMATHB.2020.100778

Chiang, I.-C. A., Jhangiani, R. S., & Price, P. C. (2015). Single-subject research designs. BCcampus. Retrieved June 12, 2023, from https://opentextbc.ca/researchmethods/chapter/single-subject-research-designs/

Chin, S. L., Choy, B. H., & Leong, Y. H. (2021). Adapting curriculum materials in secondary school mathematics: A case study of a Singapore teacher's lesson design. Proceedings of the 43rd Annual Conference of the Mathematics Education Research Group of Australasia. Retrieved Juni 12, 2023, from https://repository.nie.edu.sg/handle/10497/23245

Collini, S. A. (2019). An experimental comparison of visual and statistical analyses. [Doctoral dissertation, Western Michigan University] Retrieved June 12, 2023, https://scholarworks.wmich.edu/dissertations/3515

Edelman, A., & Wang, Y. (2020). The GSVD: Where are the Ellipses?, Matrix trigonometry, and more. Society for Industrial and Applied Mathematics, 41(4), 1826–1856. https://doi.org/10.1137/18M1234412

Hamzah, N., Maat, S. M., & Ikhsan, Z. (2021). A systematic review on pupils’ misconceptions and errors in trigonometry. Pegem Journal of Education and Instruction, 11(4), 209–218. https://doi.org/10.47750/PEGEGOG.11.04.20

Hayuningrat, S., & Rosnawati, R. (2022). Development of learning tools based on realistic mathematics approach that oriented to high school students’ mathematical generalization ability. Jurnal Riset Pendidikan Matematika, 9(2), 191–200. https://doi.org/10.21831/JRPM.V9I2.52197

Kadarisma, G., Sari, I. P., & Senjayawati, E. (2020). Pengembangan lembar kerja siswa berbasis inkuri untuk meningkatkan hots siswa sma pada materi trigonometri. Teorema: Teori Dan Riset Matematika, 5(2), 239–248. https://doi.org/10.25157/TEOREMA.V5I2.3725

Kemp, A. H., & Fisher, Z. (2021). Application of single-case research designs in undergraduate student reports: An example from wellbeing science. Teaching of Psychology, 50(1), 86–92. https://doi.org/10.1177/00986283211029929

Körei, A., Szilágyi, S., & Török, Z. (2021). Integrating didactic games in higher education: Benefits and challenges. Teaching Mathematics and Computer Science, 19(1), 1–15. https://doi.org/10.5485/TMCS.2021.0517

Kratochwill, T. R., Horner, R. H., Levin, J. R., Machalicek, W., Ferron, J., & Johnson, A. (2023). Single-case intervention research design standards: Additional proposed upgrades and future directions. Journal of School Psychology, 97, 192–216. https://doi.org/10.1016/J.JSP.2022.12.002

Lane, J. D., & Gast, D. L. (2014). Visual analysis in single case experimental design studies: Brief review and guidelines. Neuropsychological Rehabilitation, 24(3–4), 445–463. https://doi.org/10.1080/09602011.2013.815636

Lanovaz, M. J., & Primiani, R. (2023). Waiting for baseline stability in single-case designs: Is it worth the time and effort? Behavior Research Methods, 55(2), 843–854. https://doi.org/10.3758/S13428-022-01858-9/TABLES/11

Lanovaz, M. J., Turgeon, S., Cardinal, P., & Wheatley, T. L. (2019). Using single-case designs in practical settings: Is within-subject replication always necessary? Perspectives on Behavior Science, 42(1), 153–162. https://doi.org/10.1007/S40614-018-0138-9/METRICS

Lobo, M. A., Moeyaert, M., Cunha, A. B., & Babik, I. (2017). Single-case design, analysis, and quality assessment for intervention research. Journal of Neurologic Physical Therapy : JNPT, 41(3), 187. https://doi.org/10.1097/NPT.0000000000000187

Lu, C., Maknun, il, Rosjanuardi, R., & Jupri, A. (2020). Didactical design on drawing and analysing trigonometric functions graph through a unit circle approach. International Electronic Journal of Mathematics Education, 15(3), 614. https://doi.org/10.29333/iejme/9275

Maki, K. E., & Adams, S. R. (2019). Specific learning disabilities identification: Do the identification methods and data matter? Learning Disability Quarterly, 43(2), 63–74. https://doi.org/10.1177/0731948719826296

Maknun, C. L., Rosjanuardi, R., & Jupri, A. (2022). Epistemological obstacle in learning trigonometry. Mathematics Teaching Research Journal, 14(2), 5–25. Retrieved June 12, 2023, from https://commons.hostos.cuny.edu/mtrj/wp-content/uploads/sites/30/2022/08/v14n2-Epistemological-Obstacle-in-Trigonometry.pdf

Manikmaya, P., Charitas, R., & Prahmana, I. (2021). Single subject research: Pembelajaran perbandingan senilai dan berbalik nilai berpendekatan contextual teaching and learning untuk siswa slow learner. Journal of Honai Math, 4(1), 35–48. https://doi.org/10.30862/JHM.V4I1.172

Manolov, R., & Onghena, P. (2022). Defining and assessing immediacy in single-case experimental designs. Journal of the Experimental Analysis of Behavior, 118(3), 462–492. https://onlinelibrary.wiley.com/doi/epdf/10.1002/jeab.799

Miller, C. J., Smith, S. N., & Pugatch, M. (2020). Experimental and quasi-experimental designs in implementation research. Psychiatry Research, 283, 112452. https://www.sciencedirect.com/science/article/pii/S0165178119306833?via%3Dihub

Mumcu, H. Y., & Aktürk, T. (2020). Mathematics teachers’ understanding of the concept of radian. Hacettepe University Journal of Education, 35(2), 320-337. doi: 10.16986/HUJE.2019053683

Nasution, D. H., & Yerizon, Y. (2019). Development of student worksheets based on discovery learning to improve student mathematical problem solving ability in class X senior high school. International Journal of Scientific and Technology Research, 8(6), 228-231. Retrieved June 12, 2023, from https://www.ijstr.org/paper-references.php?ref=IJSTR-0619-20582

Natesan Batley, P., Minka, T., & Hedges, L. V. (2020). Investigating immediacy in multiple-phase-change single-case experimental designs using a Bayesian unknown change-points model. Behavior Research Methods, 52(4), 1714–1728. https://doi.org/10.3758/S13428-020-01345-Z/FIGURES/4

Ngu, B. H., & Phan, H. P. (2023). Differential instructional effectiveness: Overcoming the challenge of learning to solve trigonometry problems that involved algebraic transformation skills. European Journal of Psychology of Education, 1–21. https://doi.org/10.1007/S10212-022-00670-5/TABLES/2

Nuari, L. F., Charitas, R., Prahmana, I., & Fatmawati, I. (2019). Learning of division operation for mental retardations’ student through math GASING. Journal on Mathematics Education, 10(1), 127–142.

https://ejournal.unsri.ac.id/index.php/jme/article/view/6913/pdf

Nurdiyanto, T., Hartono, Y., & Studi Pendidikan Matematika, P. (2020). Pengembangan lkpd materi trigonometri berbasis generative learning di kelas X. Jurnal Pendidikan Matematika, 14(1), 51–66. https://doi.org/10.22342/JPM.14.1.6798.51-66

Oktaviyanthi, R., & Sholahudin, U. (2023). Phet assisted trigonometric worksheet for students’ trigonometric adaptive thinking. Mosharafa: Jurnal Pendidikan Matematika, 12(2), 229–242. https://doi.org/10.31980/MOSHARAFA.V12I2.2569

Schlatter, E., Molenaar, I., & Lazonder, A. W. (2022). Adapting scientific reasoning instruction to children’s needs: Effects on learning processes and learning outcomes. International Journal of Science Education, 44(17), 2589–2612. https://doi.org/10.1080/09500693.2022.2140019/SUPPL_FILE/TSED_A_2140019_SM9941.PDF

Sen, N. (2021). Investigation of regression-based effect size methods developed in single-subject studies. Behavior Modification, 46(6), 1346–1382. https://doi.org/10.1177/01454455211054018

Spangenberg, E. D. (2021). Manifesting of pedagogical content knowledge on trigonometry in teachers’ practice. Journal of Pedagogical Research, 5(3), 135–163. https://doi.org/10.33902/JPR.2021371325

Stovner, R. B., & Klette, K. (2022). Teacher feedback on procedural skills, conceptual understanding, and mathematical practices: A video study in lower secondary mathematics classrooms. Teaching and Teacher Education, 110, 103593. https://doi.org/10.1016/J.TATE.2021.103593

Urrutia, F. Z., Urrutia, F. Z., Loyola, C. C., & Marín, M. H. (2019). A tangible user interface to facilitate learning of trigonometry. International Journal of Emerging Technologies in Learning (IJET), 14(23), 152–164. https://online-journals.org/index.php/i-jet/article/view/11433/6199

Virues-Ortega, J., Moeyaert, M., Sivaraman, M., Rodríguez, A. T., & Castilla, B. F. (2023). Quantifying outcomes in applied behavior analysis through visual and statistical analyses: A synthesis. Handbook of Applied Behavior Analysis: Integrating Research into Practice, 515-537. https://doi.org/10.1007/978-3-031-19964-6_28

Widodo, S. A., Cahyani, E. R., & Istiqomah, I. (2020). Single subject research: Learning algebra operations in introverted students. Formatif: Jurnal Ilmiah Pendidikan MIPA, 10(2), 133–142. https://doi.org/10.30998/FORMATIF.V10I2.6300

Zanuttini, J. Z. (2020). Using a systematic review to explore single-subject design use within special education over time. Australasian Journal of Special and Inclusive Education, 44(1), 1–14. https://doi.org/10.1017/JSI.2020.4

Zhang, D. jun, & Zhang, F. (2023). Two trigonometric function solutions of the mKdV equations. Applied Mathematics Letters, 146, 108839. https://doi.org/10.1016/J.AML.2023.108839




DOI: https://doi.org/10.24815/jdm.v10i2.33216

Article Metrics

Abstract view : 0 times
PDF - 0 times

Refbacks

  • There are currently no refbacks.


Copyright (c) 2023 Usep Sholahudin, Rina Oktaviyanthi

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


Jurnal Didaktik Matematika

ISSN 2355–4185 (print) | 2548–8546 (online)

Published by:

Universitas Syiah Kuala incorporated with the Indonesian Mathematics Educators Society (I-MES)

Mathematics Education Department Faculty of Teacher Training and Education, Universitas Syiah Kuala, Darussalam, Banda Aceh, Indonesia - 23111

Website : http://jurnal.usk.ac.id/DM/ 
Email     : jurnal.jdm@usk.ac.id 

Creative Commons License

Jurnal Didaktik Matematika by Program Studi Magister Pendidikan Matematika FKIP Universitas Syiah Kuala is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.