ANALYSIS OF HIGH SCHOOL STUDENT'S KNOWLEDGE OF RECOGNIZING EUCLIDEAN ELEMENTS

Main Article Content

Yulyanti Harisman
Sri Adinda Putri

Abstract

Euclid's Elements is a work written by an ancient Greek mathematician named Euclid in the 3rd century BC. It is one of history's most famous and influential mathematical works, serving as a significant basis for studying geometry and number theory for centuries. This research aims to describe Euclid's Elements and determine the extent of high school students' knowledge about Euclid and his work and their level of understanding in solving mathematical problems. This qualitative research utilizes case study methods and literature reviews. Data were collected through problem-solving exercises and interviews. Thematic data analysis was conducted to elucidate Euclid's Elements and students' level of knowledge. The case study involved presenting mathematics problems and interviewing five high school students, using assessment instruments incorporating problem-solving and open interviews. The findings reveal that many students lack familiarity with the elements of Euclid's Elements but demonstrate proficiency in solving mathematical problems related to it.

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How to Cite
Harisman, Y., & Putri, S. A. (2024). ANALYSIS OF HIGH SCHOOL STUDENT’S KNOWLEDGE OF RECOGNIZING EUCLIDEAN ELEMENTS. Kalamatika: Jurnal Pendidikan Matematika, 9(1), 31-48. https://doi.org/10.22236/KALAMATIKA.vol9no1.2024pp31-48
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References

A. Suyitno, E.S. (2012). Unnes Journal of Mathematics Education Research. Unnes Journal of Mathematics Education, 1(1), 45–51.
Abdullah. (2021). Reviewing the Literature. Business Research Design: A Quantitative Approach, 75–94. Ss
Agustin, RD (2016). Students' Mathematical Reasoning Ability Through a Problem-Solving Approach. Pedagogia: Journal of Education, 5(2), 179–188. https://Doi.Org/10.21070/Pedagogia.V5i2.249
Akhsani, L., Rochmad, R., & Isnarto, I. (2022). Euclid as a Humanist Figure in the Development of Philosophy and Mathematics Learning. Prisma, Seminar Proceedings…, 5, 158–161. Https://Journal.Unnes.Ac.Id/Sju/Index.Php/Prisma/Article/View/54000
Amaliyah, A., & Uyun, N. (2022). Analysis of Student Learning Difficulties in Geometry Material. Journal of Social Technology, 2(7), 659–654. https://Doi.Org/10.59188/Jurnalsostech.V2i7.377
Argaswari, D. (2018). Integration of Mathematics History to Increase Student Attention. Indonesian Journal Of Mathematics Education, 1(1), 59. Https://Doi.Org/10.31002/Ijome.V1i1.950
Budhi, W.S. (2015). Geometry in Euclid's Plane. Repository. Ut.Ac.Id, 1–21. Http://Repository.Ut.Ac.Id/4364/1/Mpmt5201-M1.Pdf
Cahyono, E.A, Sutomo, & Harsono, A. (2019). Literature Review: A Guide to Writing and Organizing. Journal of Nursing, 12.
Dan, I., & In, A. (2021). "Dilemmas and Challenges in the Process of Cities & Regions Arrangement." 261–266.
Deas, H.D. (1960). 'What Is Mathematics?' Higher Education Quarterly, 14(1), 35–41. https://Doi.Org/10.1111/J.1468-2273.1960.Tb01726.X
Efendi, Arieska, Fatimah, Clara, Parinata, D., & Ulfa, M. (2021). Gen Z's Understanding of the History of Mathematics. Journal of Mathematics Education, University of Lampung, 9(2), 116–126. https://Doi.Org/10.23960/Mtk/V9i2.Pp116-126
Efendi, A., Fatimah, C., Parinata, D., & Ulfa, M. (2021). Gen Z's Understanding of the History of Mathematics. Journal of Mathematics Education, University of Lampung, 9(2), 116–126. https://Doi.Org/10.23960/Mtk/V9i2.Pp116-126
Gitleman, L., & Kleberger, J. (2014).済無no Title No Title No Title. Paper Knowledge. Toward A Media History Of Documents, 2(2), 53–61.
Howard, E. (1969). Introduction To History Mathematics_Howard Eves.Pdf.
Kamarullah, K. (2017). Mathematics Education in Our Schools. Al Khawarizmi: Journal of Mathematics Education and Learning, 1(1), 21. Https://Doi.Org/10.22373/Jppm.V1i1.1729
Kautsar, Q. I., Asyari, S., Darwis, M. M., & Sidjara, S. (2021). Mathematics Teachers Understand Pythagorean Triples: A Review of the History of Mathematics from the Times of Pythagoras, Plato, and Euclid. Patikala: Journal of Community Service, 1(2), 39–45. https://Doi.Org/10.51574/Patikala.V1i2.107
Kusuma, I. (2014). Identification of Middle School Students' Thinking Processes in Solving Problems Proving Two Triangles Are Congruent Based on Gender Differences. Scientific Journal of Mathematics Education, 3(3), 114–119.
Lutfi, K.K., Dwi Safitri, L., & Yulianasari, N. (2022). The History Of The Development Of Ancient Greek Mathematics And Its Protagonists. https://jurnal.unej.ac.id/index.php/prosiding/article/view/33550
M. Zain. (2018). Language Research Methods: A Structural Approach. Language Research Methods, 14, 1–123.
Mauiliya, I. (2022). Developing Mathematical Philosophy Values in Mathematics 4.0 Learning. World Journal of Science, 2(3), 1–7. Http://Duniailmu.Org/Index.Php/Repo/Article/View/105%0ahttp://Duniailmu.Org/Index.Php/Repo/Article/Download/105/103
Miller, N. (2007). Euclid And His Twentieth Century Rivals: Diagrams In The Logic Of Euclidean Geometry.
Multimedia. (1996). The Nature of Mathematics. Journal Of Uoeh, 18(1), 99.
Ngilmaya, A.N.K, Irawan, E., & Ifariyah, F. (2021). Effectiveness of the Guided Inquiry Model in Improving Students' Ability to Draw Conclusions. Indonesian Tadris Science Journal, 1(2), 199–209. https://Doi.Org/10.21154/Jtii.V1i2.190
Nufus, H., Rosidin, U., Herlina, K., & Hasnunidah, N. (2018). The Effect of Applying the Argument-Driven Inquiry Model on Thinking Skills in Physics Education. Journal of Physics Education, 7(2), 110–117.
Nugraheni, N. (2021). Humanist Flow in Mathematical Philosophy. Proceedings of the National Mathematics Seminar, 4(3), 393–396. Https://Journal.Unnes.Ac.Id/Sju/Index.Php/Prisma/
Nursiwi. (2021). Humanist Flow in Mathematical Philosophy. Proceedings of the National Mathematics Seminar, 4(3), 393–396. Https://Journal.Unnes.Ac.Id/Sju/Index.Php/Prisma/
Ode, MET, Ian, P., Ri, RT, Put, K., Dewinta, RI, Odologi, MET, & Ian, P. (ND). M Et Ode Pen El ITIAN Desk Ri Pt IF Ol EHTJUTJU So ENDAR I.
Ramdani, Y. (2006). Study of Mathematical Understanding Through the Ethics of Mathematical Modeling. Journal of Social and Development, 22(1), 2.
Ridwan, M., Am, S., Ulum, B., & Muhammad, F. (2021). The Importance of Applying Literature Review to Scientific Research. Masohi Journal, 2(1), 42. Https://Doi.Org/10.36339/Jmas.V2i1.427
Salahuddin, M., Haris, A., Yamin, M., Stkip, H., & Bima, I. (2020). Reasoning Profile of Prospective Mathematics Teacher Students in Proving the Formula for the Area of Plane Figures Seen from the Differences in Visualiser-Verbaliser Cognitive Styles. Dikmat: Journal of Mathematics Education, 1(1), 12–17. Https://Jurnal.Habi.Ac.Id/Index.Php/Dikmat
Savira, F., & Suharsono, Y. (2013). Chapter III Research and Development Methods. Journal Of Chemical Information And Modeling, 01(01), 1689–1699.
Sholihah, N.U., Sadieda, L.U., & Sutini, S. (2021). Students' Argumentation Ability in Solving Triangular Congruence Proving Problems Seen from Gender Differences. Jrpm (Mathematics Learning Review Journal), 6(1), 24–38. https://Doi.Org/10.15642/Jrpm.2021.6.1.24-38
Siswanto. (2010). Systematic Review As A Research Method To Synthesize Research Results (An Introduction). Health Systems Research Bulletin, 13(4), 326–333.
Siswono, T.Y.E. (2007). Humanistic Mathematics Learning That Develops Student Creativity. Journal of Mathematics, 1(1), 1–16.
Suryaningtyas, S., & Setyaningrum, W. (2020). Analysis of Metacognitive Abilities of High School Students in Class Xi Science Program in Solving Mathematical Problems. Journal of Mathematics Education Research, 7(1), 74–87. https://Doi.Org/10.21831/Jrpm.V7i1.16049
Susanah. (2021). Mathematics and Mathematics Education. Open University, 2–44. Http://Repository.Ut.Ac.Id/4725/2/Pema4301-M1.Pdf
Susilawati, W. (2017). History & Philosophy of Mathematics.
Try, N.H., Ma'rufi, M., & Nurdin, N. (2021). Exploration of the Visual Representation Abilities of Prospective Teacher Students in Solving Geometry Problems Based on Understanding Mathematics and Gender. Proximal: Journal of Mathematics Research and Mathematics Education, 4(1), 56–66. https://Doi.Org/10.30605/Proximal.V4i1.504
Wahyu, K., & Mahfudy, S. (2016). History of Mathematics: Alternative Mathematics Learning Strategies. Beta Tadris Journal of Mathematics, 9(1), 89. Https://Doi.Org/10.20414/Betajtm.V9i1.6
Wahyudin, Y., & Rahayu, D.N. (2020). Analysis of Website-Based Information System Development Methods: A Literature Review. Intercom Journal: Journal of Scientific Publications in Information and Communication Technology, 15(3), 26–40. https://Doi.Org/10.35969/Interkom.V15i3.74
Warmi, A., Galih, A., Department, A., Mathematics, P., Teacher Training, F., & Education, I. (2018). Analysis of Student Difficulties in History of Mathematics Courses. Journal of Educational Research and Mathematics Teaching, 4(1), 7–14.
Yazidah, N.I. (2017). Analysis of errors in solving Euclid's geometry proof questions in terms of gender among Ikip Budi Utomo Malang students. Kalamatika: Jurnal Pendidikan Matematika, 2(1), 71–80. Https://Doi.Org/10.22236/Kalamatika.Vol2no1.2017pp71-80