The Development of Student Worksheet to Enhance Students’ Mathematical Understanding on Two Variable Linear Equation System Topic
DOI:
https://doi.org/10.22460/jiml.v8i2.26877Keywords:
Student Worksheet, Mathematical Understanding, Two Variable Linear Equation SystemAbstract
Student worksheets play a crucial role in mathematics education by providing a structured framework for exploring concepts, practicing exercises, and achieving learning goals. However, understanding slope, intercepts, and graphing in linear equations with two variables (LETV) remains a common challenge for many students. Therefore, this study aims to develop a student worksheet for linear equations with two variables to enhance students’ comprehension in that specific area of mathematics for junior high school students based on their difficulties in solving problems on linear equations with two variables and to identify such difficulties based on articles written by 20 scholars published in Sinta-accredited journals. This qualitative study used text data from 20 nationally Sinta-accredited peer-reviewed mathematics education journals that presented articles about the challenges or difficulties of this topic as experienced by students. The data were analyzed through an SLR method by identifying the patterns of students’ difficulties or challenges and by analyzing how the student worksheet will handle such problems as reported in journal articles. This study also reveals that students’ challenges in studying this topic of maths involve conceptual misunderstandings, procedural errors, graphical interpretation issues, lack of real-world application, lack of creativity, lack of ability in writing mathematical representations, difficulty in understanding word or story problems, lack of mathematical process skills, and recklessness.References
Agustarina, M., Aisyah, N., & Kurniadi, E. (2020, March). Developing of student worksheets HOTS-based for system of two variables linear equation learning topic in junior high school. In International Conference on Progressive Education (ICOPE 2019) (pp. 325-329). Atlantis Press.
Aktas, M. C. (2016). Turkish High School Teachers' Conceptions of Creativity in Mathematics. Journal of Education and Training Studies, 4(2), 42-52.
Amir, A. (2015). Pemahaman konsep dan pemecahan masalah dalam pembelajaran matematika. Logaritma: Jurnal Ilmu-ilmu Kependidikan dan Sains, 3(1), 13-28.
Anggraini, S. (2023). Learning Concepts Learning Approach Models in Improving Students’ Understanding of Mathematical Concepts. EDUCTUM: Jurnal Research, 2(5), 1-4.
Astiati, S. D. (2024). Analysis of Students' Mathematical Representation Ability Based on Mathematics Ability. JUPE: Jurnal Pendidikan Mandala, 9(2), 293-302.
Barthakur, A., Joksimovic, S., Kovanovic, V., Richey, M., & Pardo, A. (2022). Aligning objectives with assessment in online courses: Integrating learning analytics and measurement theory. Computers & Education, 190, 104603.
Basuki, W. A., & Wijaya, A. (2018, September). The development of student worksheet based on realistic mathematics education. In Journal of Physics: Conference Series (Vol. 1097, No. 1, p. 012112). IOP Publishing.
Bernardo, A. B. (1999). Overcoming obstacles to understanding and solving word problems in mathematics. Educational Psychology, 19(2), 149-163.
Buultjens, M., Aitken, S., Ravenscroft, J., & Carey, K. (1999). Size counts: The significance of size, font and style of print for readers with low vision sitting examinations. British Journal of Visual Impairment, 17(1), 5-10.
Chatterjee, D., & Corral, J. (2017). How to write well-defined learning objectives. The journal of education in perioperative medicine: JEPM, 19(4).
Cho, P., & Nagle, C. (2017). Procedural and Conceptual Difficulties with Slope: An Analysis of Students' Mistakes on Routine Tasks. International Journal of Research in Education and Science, 3(1), 135-150.
Clements, M. A. (1982). Careless errors made by sixth-grade children on written mathematical tasks. Journal for research in Mathematics Education, 13(2), 136-144.
Clements, D. H., & Sarama, J. (2009). Learning trajectories in early mathematics–sequences of acquisition and teaching. Encyclopedia of language and literacy development, 7, 1-6.
Cresswell, J.W., & Cresswell, J.D. (2023). Research design: qualitative, quantitative, and mixed methods approaches. California & London: SAGE Publications, Inc.
Cummins, D. D., Kintsch, W., Reusser, K., & Weimer, R. (1988). The role of understanding in solving word problems. Cognitive psychology, 20(4), 405-438.
Dyrud, M. A. (1995, November). Design guidelines for written assignments. In Proceedings Frontiers in Education 1995 25th Annual Conference. Engineering Education for the 21st Century (Vol. 2, pp. 4b5-6). IEEE.
Fadhilah, R., & Sujadi, I. (2021, March). The Critical Thinking Process of Senior High School Students in Problem-Solving of Linear Equations System. In Journal of Physics: Conference Series (Vol. 1808, No. 1, p. 012063). IOP Publishing.
Fatmawati, I., Darmono, P. B., & Purwoko, R. Y. (2020). Analisis kemampuan berpikir kritis dalam pemecahan masalah matematika. EKSAKTA: Jurnal Penelitian Dan Pembelajaran MIPA, 5(2), 196-201.
Fatio, N. A., Fatimah, S., & Rosjanuardi, R. (2020, April). The analysis of students’ learning difficulties on system of linear equation in two variables topic. In Journal of Physics: Conference Series (Vol. 1521, No. 3, p. 032062). IOP Publishing.
Fitriati, F., & Novita, R. (2018, September). Designing student worksheet for rich mathematical tasks. In Journal of Physics: Conference Series (Vol. 1088, No. 1, p. 012029). IOP Publishing.
Frank (Eds.), Mathematics teaching in the early years (pp. 1-20). National Council of Teachers of Mathematics.
Gribbons, W. M. (1992). Organization by design: Some implications for structuring information. Journal of technical writing and communication, 22(1), 57-75.
Gülburnu, M., & Gürbüz, R. (2022). Investigation of effects of negotiations of sociomathematical norms on mathematical process skills. The Journal of educational research, 115(2), 161-172.
Hafizi, M. H. M., & Kamarudin, N. (2020). Creativity in mathematics: Malaysian perspective. Universal Journal of Educational Research, 8(3C), 77-84.
Hulu, L. J. (2023). Analysis of student errors in solving questions on a system of linear equations with two variables in class viii smp negeri 2 Somambawa school year 2022/2023. Afore: Jurnal Pendidikan Matematika, 2(2), 99-114.
Ikfini, I. A. H., Nurharunawati, N., & Rumite, W. (2024). Understanding common errors in linear equations systems among eighth grade students. Kalamatika: Jurnal Pendidikan Matematika, 9(2), 161-176.
Iqbal, F. M., & Hw, S. (2022). Analisis kesulitan siswa dalam memecahkan soal cerita sistem persamaan linear dua variabel. AKSIOMA: Jurnal Program Studi Pendidikan Matematika, 11(3), 1978-1988.
Islamiyah, A. C., Prayitno, S., & Amrullah, A. (2018). Analisis kesalahan siswa SMP pada penyelesaian masalah sistem persamaan linear dua variabel. Jurnal Didaktik Matematika, 5(1), 66-76.
Iwuanyanwu, P. N. (2021). Addressing common deficiencies of mathematics skills among chemistry student teachers. African Journal of Educational Studies in Mathematics and Sciences, 17(1), 1-16.
Jan, S., & Rodrigues, S. (2012). Students’ difficulties in comprehending mathematical word problems in English language learning contexts. International researchers, 1(3), 152-160.
Kerslake, D. (1981). Children's understanding of mathematics: A study of the development of mathematical concepts in children. London: Heinemann Educational Books.
Kirsh, D. (2014). Metacognition, distributed cognition, and visual design. In Cognition, education, and communication technology (pp. 147-179). Routledge.
Knuth, E. J. (2000). Student understanding of the Cartesian connection: An exploratory study. Journal for research in mathematics education, 31(4), 500-514.
Legarde, M.A.A. (2022). Working with mathematical problems: an analysis of students’misconceptions and its impact on mathematics learning. International Journal of Advanced Research. Int. J. Adv. Res. 10(03), 25-33 ISSN: 2320-5407. DOI:10.21474/IJAR01/14358.
Lubis, R. A., & Wahyuni, S. (2022). Development of Mathematics Student Worksheets Based on Mathematical Understanding with a Worked Example Approach. EduMatika: Jurnal MIPA, 2(3), 69-74.
Mann, E. L. (2006). Creativity: The essence of mathematics. Journal for the Education of the Gifted, 30(2), 236-260.
Makaluas, A. A., Tuerah, P. E., & Regar, V. (2023). Application of the contextual teaching and learning model in mathematics learning SPLDV Material. Simpati: Jurnal Penelitian Pendidikan dan Bahasa, 1(2), 163-171.
Masitoh, D. (2021). Penggunaan Model Problem Based Learning Pada Materi Persamaan Linear Dua Variabel Untuk Meningkatkan Hasil Belajar Siswa. Journal of Social Studies Arts and Humanities (JSSAH), 1(1), 57-61.
Mulyaningsih, S., Marlina, R., & Effendi, K. N. S. (2020). Analisis Kemampuan Representasi Matematis Siswa SMP Dalam Menyelesaikan Soal Matematika. JKPM (Jurnal KajianPendidikan Matematika), 6(1), 99. Https://Doi.Org/10.30998/Jkpm.V6i1.7960
Muthmainnah, M. (2023). Analysis of Students' Mastery of Mathematical Concepts Material for Linear Equations in Two Variables. Tarbiyah: Jurnal Ilmiah Kependidikan, 12(2), 135-147.
Nasution, P. K., Syahmarani, A., & Yanti, M. (2019). The Improvement reasoning ability of students to mathematic and logic through colour chip worksheet in the basic education unit in Tanjung Morawa. ABDIMAS TALENTA: Jurnal Pengabdian Kepada Masyarakat, 4(2), 109-114.
Nurhasanah, H., Prabawanto, S., & Sumiaty, E. (2019). Didactical design development of two variables linear equation. (JIML) Journal of Innovative Mathematics Learning, 2(4), 186-193.
Olive, T., & Barbier, M. L. (2017). Processing time and cognitive effort of longhand note taking when reading and summarizing a structured or linear text. Written Communication, 34(2), 224-246.
Orr, R. B., Csikari, M. M., Freeman, S., & Rodriguez, M. C. (2022). Writing and using learning objectives. CBE—Life Sciences Education, 21(3), fe3.
Osueke, B., Mekonnen, B., & Stanton, J. D. (2018). How undergraduate science students use learning objectives to study. Journal of Microbiology & Biology Education, 19(2), 10-1128.
Pangaribuan, F. (2018, September). Students’ abstraction in solving system of linear equations with two variables. In Journal of Physics: Conference Series (Vol. 1088, No. 1, p. 012071). IOP Publishing.
Parr, E. D. (2023). Undergraduate students’ interpretations of expressions from calculus statements within the graphical register. Mathematical thinking and learning, 25(2), 177-207.
Parr, E. D., & Lippe, S. (2024). Expressing Distance in Graphs of Functions in the Cartesian Plane: Obstacles and Interventions. The Mathematics Enthusiast, 21(3), 501-540.
Prabawati, M. P., T Herman, T. H., & Turmudi, T. (2019). Development of Problem-Based Student Worksheets to Improve Mathematical Literacy Skills. In Journal of Physics: Conference Series. Vol. 1179, No. 1, p. 012009). IOP Publishing.
Pradini, W., & Winarsih, W. (2020, April). Analysis of junior high school students difficulty in solving linear equation in two variables word problem. In AIP Conference Proceedings (Vol. 2215, No. 1). AIP Publishing.
Pramuswara, N. A., & Haerudin, H. (2024). Pengaruh kemampuan pemahaman konsep matematis terhadap kemampuan pemecahan masalah matematis siswa. JP2M: Jurnal Pendidikan dan Pembelajaran Matematika. 10(1), 96-103.
Putri, D. S., Hiltrimartin, C., Hartono, Y., & Indaryanti, I. (2022, April). Development of Student Activity Sheets for System of Linear Equation Two Variables Based on Problem Solving in Junior High School. In 2nd National Conference on Mathematics Education 2021 (NaCoME 2021) (pp. 56-66). Atlantis Press.
Rahmawati, D., & Saputro, D. R. S. (2019, April). Analysis of student’s mathematical connection ability in linear equation system with two variables. In Journal of Physics: Conference Series (Vol. 1211, No. 1, p. 012107). IOP Publishing.
Ratnaningsih, N., & Hidayat, E. (2021, February). Error analysis and its causal factors in solving mathematical literacy problems in terms of habits of mind. In Journal of Physics: Conference Series (Vol. 1764, No. 1, p. 012104). IOP Publishing.
Ratumanan, T. G., Ayal, C. S., & Tupamahu, P. Z. (2022). Mathematical representation ability of mathematics education study program students. Jurnal Pendidikan Matematika (JUPITEK), 5(1), 50-59.
Reyes, J., Insorio, A. O., Ingreso, M. L. V., Hilario, F. F., & Gutierrez, C. R. (2019). Conception and application of contextualization in mathematics education. International Journal of Educational Studies in Mathematics, 6(1), 1-18.
Rim, K. C., & Yoon, Y. B. (2015). Study of learning performance improvement based on color changes of test sheets. International Journal of Multimedia and Ubiquitous Engineering, 10(9), 9-16.
Rohani, M., Hidayat, A., & Ediputra, K. (2021). Development of student worksheets (sws) based on realistic mathematical education (rme) for material system of linear equations of two variables. Mathematics Research and Education Journal, 5(2), 20-28.
Sanchez, R. P., Lorch, E. P., & Lorch Jr, R. F. (2001). Effects of headings on text processing strategies. Contemporary educational psychology, 26(3), 418-428.
Santoso, T., Nafis, H. L. H., & Oktama, M. Y. (2019). Analyzing students’ error in problem solving of two-variable linear equation system: A case study of grade eight students of Indonesian junior high school. International Journal of Learning, Teaching and Educational Research, 18(11), 283-296.
Sari, N., Saragih, S., Napitupulu, E. E., Rakiyah, S., Sari, D. N., Sirait, S., & Anim, A. (2023). Applying ethnomathematics in learning mathematics for middle school students. Acta Scientiae, 25(5), 250-274.
Sayın, V., & Orbay, K. (2024). Examining The Problems Posed By Classroom Teacher Candidates According to Mathematical Process Skills. Cukurova University Faculty of Education Journal, 53(1), 299-340.
Stitt, J. L., & Pula, J. J. (2013). The Impact of Color on Vocabulary Attainment with Multi-Ability Seventh Graders. Delta Kappa Gamma Bulletin, 79(4), 37.
Supandi, S., Waluya, S. B., Rochmad, R., Suyitno, H., & Dewi, K. (2018). Think-Talk-Write Model for Improving Students' Abilities in Mathematical Representation. International Journal of Instruction, 11(3), 77-90.
Supriadi, N., Putra, R. W. Y., & Fitriani, F. (2022). Implementation of a realistic mathematics learning approach (PMR) and analytical thinking: The impact on students' understanding of mathematical concepts in Indonesia. Al-Jabar: Jurnal Pendidikan Matematika, 13(2), 465-476.
Susandi, A. D. (2021). Critical thinking skills of students in solving mathematical problem. Numerical: Jurnal Matematika dan Pendidikan Matematika, 115-128.
Sutama, H. J. P., Anif, S., Faiziyah, N., Novitasari, M., & Fadhilah, M. W. (2019, August). A PISA-based Student Worksheet for Better Understanding of Mathematical Concept. In PROFUNEDU 2019: Proceedings of the 4th Progressive and Fun Education International Conference, Profunedu 2019, 6-8 August 2019, Makassar, Indonesia (p. 38). European Alliance for Innovation.
Takker, S. (2019). Understanding learners’ thinking through an analysis of errors. At Right Angles, (4), 38-44.
Ubaidillah, Ananto, N., Sappaile, B. I., & Lumingkewas, C. F. (2023). Efforts to Overcome Students' Difficulties in Understanding the Concept of Story Problems with the Problem-Solving Method and the Question and Answer Method in Science Learning. Jurnal Penelitian Pendidikan IPA, 9(7), 5236-5241.
Utami, A. N., Nurhasanah, F., Triyanto, & Dolk, M. (2024). Constructing slope conceptualizations: Physical, geometrical, and algebraic. Journal on Mathematics Education, 15(4), 1433–1452. https://doi.org/10.22342/jme.v15i4.pp1433-1452 Van de
Walle, J. A., Karp, K. S., & Bay-Williams, J. M. (2010). Elementary and middle school mathematics: Teaching developmentally (7th ed.). Boston: Pearson.
Valenzuela, H. (2018). A Multiple Case Study of College-Contextualized Mathematics Curriculum. Online Submission, 9(2), 49-55.
Wahyuni, I., Fazri, A., Zuhro, A. K., & Hasanah, U. (2023). Analysis of students'mathematical critical thinking skills with a realistic mathematics education (rme) approach to two-variable linear equation system material. MaPan: Jurnal Matematika dan Pembelajaran, 11(2), 337-352.
Wahyuni, S., Noviani, J., & Saputra, E. (2023). Analysis of High School Students' Difficulties in the Material of Two Variable Linear Equation Systems. EL-Hadhary: Jurnal Penelitian Pendidikan Multidisiplin, 1(01), 39-51.
Wallace, D. S., West, S. W. C., Ware, A., & Dansereau, D. F. (1998). The effect of knowledge maps that incorporate gestalt principles on learning. The journal of experimental education, 67(1), 5-16.
Williams, T. R., & Spyridakis, J. H. (1992). Visual discriminability of headings in text. IEEE Transactions on Professional Communication, 35(2), 64-70.
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