Development Of Learning Based Teaching Materials On Quadratic Function Materials To Improve Students' Mathematical Representation Skills
Abstract
This research aims to develop discovery learning-based teaching materials on quadratic functions to improve mathematical representation abilities of grade X students. The low mathematical representation ability of Indonesian students reflected in TIMSS 2015 results is the research background. Research and Development (R&D) methodology with a 4D model (Define, Design, Develop, Disseminate) was used to develop the learning product. Validation was conducted by three mathematics education experts, practicality testing through student response questionnaires, and effectiveness was measured using a Post-test Only Control Group design comparing experimental and control classes. The findings showed very high validity at 91.54%, practicality reached 79.31% in the practical category, and significant effectiveness demonstrated through average score increase from 73.27 to 83.20 (sig = 0.000 < 0.05). The Z proportion test yielded 1.8974 > 1.645, indicating more than 75% of students achieved the minimum mastery standard. This teaching material successfully facilitates mathematical representation skill development through structured discovery activities, although visual representation aspects need further optimization. The discovery learning approach effectively optimizes students' knowledge construction through meaningful learning experiences while overcoming conventional learning limitations in developing mathematical representation competencies
Downloads
References
Aditya, P., Testiana, G., & Kusuma Wardani, A. (2021). Development of Computer-Based Interactive Teaching Materials on Square Function Materials for Grade IX Junior High School Students. Journal of Mathematics and Science Education, 8(1), 26–31. https://doi.org/10.21831/jpms.v8i1.29951
Akbarita, R., & Narendra, R. (2019). Development of Problem-Based Learning Modules to Help Improve the Reasoning Ability of Vocational School Students on Function Materials, Equations of Linear Functions and Quadratic Functions. Brilliant: Journal of Research and Conceptual, 4(1), 1. https://doi.org/10.28926/briliant.v4i1.255
Alawiyah, S. T., & Dahlan, J. A. (2019). Improvement of Mathematical Representation Skills of Students in Grades IX-G Junior High School 2 Bandung on Quadratic Equation Material with Discovery Learning Model. Journal of Research and Scientific Papers, 19(1), 38–46. https://doi.org/10.33592/pelita.vol19.iss1.72
Anggraini, Y. P., Maimunah, M., & Hutapea, N. M. (2022). Validity and Practicality of Discovery Learning-Based Learning Tools for Grade VIII Junior High School Students on Circle Material. Journal of Scholars: Journal of Mathematics Education, 6(3), 2391–2404. https://doi.org/10.31004/cendekia.v6i3.1462
Aniswari, F. V. L., & Purnamasari, L. D. (2021). The use of the Geogebra program to develop the ability to submit hypotheses for high school/K students on the topic of the properties of quadratic function graphs. 167–186.
Azizah, L. N., Junaedi, I., & Suhito, S. (2019). Mathematical Representation Ability Reviewed from the Cognitive Style of Class X Students in Mathematics Learning with the Problem Based Learning Model. PRISMA, Proceedings of the National Seminar on Mathematics, 2, 355–365.
Bagus, C. (2018). Analysis of students' mathematical representation ability in solving circle problems in class VII-B Mts Assyafi'iyah Gondang. Suska Journal of Mathematics Education, 4(2), 115. https://doi.org/10.24014/sjme.v4i2.5234
Bugis, H., & Ratau, A. (2025). Developing an Adaptive E-Module based on cognitive levels and local context to improve students' mathematics computational thinking skills in middle school. Journal of Mathematics (JTMT), 6(1), 1–8. https://doi.org/10.47435/jtmt.v6i1.3227
Dr. E. Kosasih, M. P. (2021). Development of Teaching Materials. The Earth of Scripts.
Efuansyah, R. W. (2019). Development of student worksheets to facilitate the achievement of mastery of mathematical concepts. Numerical: Journal of Mathematics and Mathematics Education, 3(2), 105–118.
Fatmawati, K., Jailani, M. S., Hasanah, J., & Efendi, R. (2023). Validity, practicality, and effectiveness of contextual-based teaching modules. Primary Education Journal (PEJ), 7(1), 20–28.
Hadi, S., & Novaliyosi. (2019). Trends in International Mathematics and Science Study (TIMSS). The Language of Science Education, 108–108. https://doi.org/10.1007/978-94-6209-497-0_97
Hastanti, C. A. (2022). Improving Student Learning Outcomes through Discovery Learning-Based Student Worksheets on Quadratic Function Materials at SMA Negeri 1 Malinau. EDUCATOR : Journal of Educator and Education Innovation, 2(1), 84–88. https://doi.org/10.51878/educator.v2i1.1097
Ministry of Education and Culture. (2022). Decree of the Head of the Standards, Curriculum, and Education Assessment Agency of the Ministry of Education, Culture, Research, and Technology Number 033/H/KR/2022 concerning Amendments to the Decree of the Head of the Standards Agency, Curriculum. In and Education Assessment of the Ministry of Education.
Kumalasari, T. (2022). Analysis of students' mathematical representation ability in solving statistical and opportunity problems. PAEDAGOGIC MATHEMATICAL JOURNAL, 6, 87–94. https://doi.org/10.36294/jmp.v6i2.2436
Maulyda, M. A. (2020). NCTM-Based Mathematics Learning Paradigm (January issue).
Nurdiana, R., & Novianti, M. (2023). Analysis of Mathematical Representation Ability in Flat Buildings through Tangram Media. Laplace: Journal of Mathematics Education, 6(1), 258–268. https://doi.org/10.31537/laplace.v6i1.1126
Nurdin Muhamad. (2015). The Effect of Discovery Learning Methods to Improve Mathematical Representation and Student Confidence. Journal of Education of the University of Garut, 09(01), 75–90.
Ovemy Delfita, Hutapea, N. M., & Murni, A. (2020). The development of mathematics learning tools uses a problem-based learning model to facilitate students' mathematical representation skills. Journal of Scholars: Journal of Mathematics Education, 4(2), 1184–1196.
Pasehah, A. M., & Firmansyah, D. (2020). Analysis of students' mathematical representation abilities in data presentation materials. Proceedings of the National Seminar on Mathematics and Mathematics Education, 1094–1108.
Putri, M. O., & Sukmaningthias, N. (2022). Analysis of Student's Mathematical Communication Ability Using Digital LKPD with RME (Realistic Mathematics Education) Approach. Journal of Mathematics (JTMT), 3(1), 10–17. https://doi.org/10.47435/jtmt.v6i1.3821
Rahayu, D., Kartini, & Yuanita, P. (2021). Development of discovery learning tools on quadrilateral materials and to facilitate the mathematical representation ability of grade VII junior high school/MTs students. 10(1), 47–60.
Sabrina, K. A., & Effendi, K. N. S. (2022). Students' Mathematical Representation Ability in Building Materials. Journal of Educatio FKIP UNMA, 8(1), 219–228. https://doi.org/10.31949/educatio.v8i1.1969
Sinaga, G. F. M., Hartoyo, A., & Hamdani. (2016). Students' Mathematical Representation Ability Reviewed from Learning Styles in Quadratic Function Materials in High School. Journal of Equatorial Education and Learning, 5(6), 1–12.
Sugiyono. (2016). Qualitative Quantitative Research Methods and R&D. Alfabeta, Bandung.
Suningsih, A., & Istiani, A. (2021). Analysis of Students' Mathematical Representation Abilities. Mosharafa: Journal of Mathematics Education, 10(2), 225–234. https://doi.org/10.31980/mosharafa.v10i2.984
Syahmaidi, E., & Hidayat, H. (2016). Practicality of Video-Based e-Learning Media Design. National Journal of Informatics Engineering Education (JANAPATI), 5(2), 87. https://doi.org/10.23887/janapati.v5i2.9858
Yeni, E. M. (2015). Difficulty learning mathematics in elementary school. Journal of Basic Education, 2(2), 1–10.
Yofita Sani, L. D. (2019). Analysis of Mathematical Representations of High School Students through a Problem-Based Learning Model of Trigonometry Function Material. LEMMA Journal, 5(2), 148–156. https://doi.org/10.22202/jl.2019.v5i2.3373
Yusriyah, Y., & Noordyana, M. A. (2021). Mathematical Representation Ability of Junior High School Students in Data Presentation Materials in Bungbulang Village. Plusminus: Journal of Mathematics Education, 1(1), 47–60. https://doi.org/10.31980/plusminus.v1i1.870
Copyright (c) 2025 Ulfa Luthfiani

This work is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.
_(1)_(1).png)











