Misconceptions and Difficulties of Middle School Students in Quadratic Inequalities Material
https://doi.org/10.35974/jpd.v7i1.3254
Keywords:
Difficulties, Misconception, Quadratic InequalitiesAbstract
This study aims to reveal the misconceptions and difficulties of high school students in determining the set of solutions for a quadratic inequality. This research is a qualitative research in the form of a case study. The subjects of this study were six students in class X IPA 5 SMA Negeri 3 Pontianak. Data collection used test techniques (paper and pencil) with tools in the form of diagnostic tests in the form of descriptions and direct communication techniques with tools in the form of interview guides. The data that has been obtained from the results of tests and interviews is then described by categorizing it according to the indicators that have been compiled, then presented in tabular form and given a conclusion. The misconceptions found are generalizing equations to become inequalities and misinterpreting that the solution to an inequality cannot be a single solution. Meanwhile the difficulties found are (1) difficulty understanding the semantic and symbolic meaning of inequalities (2) difficulty using arithmetic skills (3) difficulty understanding the signs of the product factor (4) difficulty applying inequality rules (5) limited understanding of the number system (6) do not understand the question
Downloads
References
Almog, N., & Ilany, B. S. (2012). Absolute value inequalities: High school students’ solutions and misconceptions. Educational Studies in Mathematics, 81(3). https://doi.org/10.1007/s10649-012-9404-z
Amani, R. A. D. S. S., & Mawarsari, V. D. (2019). Analisis Kesulitan Belajar Siswa X IPS SMA Negeri 15 Semarang Pada Materi Pertidaksamaan Nilai Mutlak. Seminar Nasional Edusaintek.
Anggraini, D., Yohanie, D. D., & Nurfahrudianto, A. (2022). Analisis Problematika Siswa dalam Menyelesaikan Soal Sistem Pertidaksamaan Linear Dua Variabel (SPtLDV) Berdasarkan Teori Pemahaman SKEMP. Prosiding Seminar Nasional Kesehatan, Sains Dan Pembelajaran, 2(1).
August, F. M., & Ramlah, R. (2021). ANALISIS KEMAMPUAN PEMECAHAN MASALAH MATEMATIS SISWA BERDASARKAN PROSEDUR POLYA. JIPMat, 6(1). https://doi.org/10.26877/jipmat.v6i1.8080
Blanco, L. J., & Garrote, M. (2007). Difficulties in learning inequalities in students of the first year of pre-university education in Spain. Eurasia Journal of Mathematics, Science and Technology Education, 3(3). https://doi.org/10.12973/ejmste/75401
Brown, E. M. (2002). How Students (Mis-)Understand Science and Mathmatics. Mathematics Teaching in the Middle School, 7.
Cuevas V, A., Rodríguez E, A., & González O., O. (2014). Un acercamiento funcional a la resolución de desigualdades matemáticas. El Cálculo y Su Enseñanza, 5. https://doi.org/10.61174/recacym.v5i1.122
Derya Kaltakci Gurel, Ali Eryilmaz, & Lillian C. McDermott. (2015). A Review and Comparison of Diagnostic Instruments to Identify Students’ Misconceptions in Science. Eurasia Journal of Mathematics, Science and Technology Education, 11(5).
Dewi, D., Ernawati, E., Nurhayati, L., Agina, S., Khodijah, S., & Hidayat, W. (2020). Analisis Kesulitan Siswa Dalam Pemecahan Masalah Matematik Siswa SMA Pada Materi Persamaan Dan Pertidaksamaan Linier. JPMI (Jurnal Pembelajaran Matematika Inovatif), 3(1).
Eshach, H. (2014). The use of intuitive rules in interpreting students’ difficulties in reading and creating kinematic graphs. Canadian Journal of Physics, 92(1). https://doi.org/10.1139/cjp-2013-0369
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). https://doi.org/10.12973/eurasia.2015.1369a
Kemendikbud. (2014). Permendikbud Nomor 59 Tahun 2014 tentang Kurikulum 2013. In Kemendikbud.
Lestari, W. D. (2015). Kesulitan Siswa Kelas VII Dalam Menyelesaikan Soal Kemampuan Generalisasi Matematis Pada Materi Segitiga. Journal Universitas Wiralodra, 7(2).
Napfiah, S. (2016). BERPIKIR ALJABAR MAHASISWA DALAM MENYELESAIKAN MASALAH BERDASARKAN TAKSONOMI SOLO DITINJAU DARI KEMAMPUAN MATEMATIKA. Kalamatika: Jurnal Pendidikan Matematika, 1(2). https://doi.org/10.22236/kalamatika.vol1no2.2016pp171-182
Nasir, Muhammad. (2017). Analisis Kesulitan Belajar dan Miskonsepsi Mahasiswa dalam Praktikum Berbasis Proyek. Edu Sains: Jurnal Pendidikan Sains & Matematika, Vol.5 No.1. DOI: https://doi.org/10.23971/eds.v5i1.602
Navy, A. (2013). Manajemen Sumber Belajar dalam Meningkatkan Mutu Pembelajaran Sains. Jurnal Pendidikan Humaniora, 1(4).
NCTM. (2000). Executive Summary : Principles and Standards for School Mathematics Overview. The Arithmetic Teacher.
Ngedo, D. R., Prayitno, A.-, & Octavianti, C. T. (2020). Representasi Dalam Pembelajaran Matematika Siswa Kelas Vii Materi Himpunan Smpk Wignya Mandala Tumpang. Pi: Mathematics Education Journal, 3(1), 38–46. https://doi.org/10.21067/pmej.v3i1.3675
Nur, S., & Kartini, K. (2021). Analisis Kemampuan Pemahaman dan Pemecahan Masalah Matematis Siswa Kelas X Materi Persamaan Pertidaksamaan Nilai Mutlak. PYTHAGORAS: JURNAL PROGRAM STUDI PENDIDIKAN MATEMATIKA, 10(1). https://doi.org/10.33373/pythagoras.v10i1.2928
Nurhayati, & Bernard, M. (2019). Analisis Kesulitan Siswa Dalam Pemecahan Masalah Matematik Siswa Kelas X SMK Bina Insan Bangsa Pada Materi Persamaan Dan Pertidaksamaan. Journal On Education, 1(2).
Purba, D., & Lubis, R. (2021). Pemikiran George Polya Tentang Pemecahan Masalah. Jurnal MathEdu (Mathematic Education Journal), 4(1).
Sembiring, D. Y., Siregar, R. M. R., & Sitepu, D. R. (2021). Analisis Kesulitan Siswa Dalam Menyelesaikan Soal Cerita Sistem Persamaan Linear Dua Variabel (Spldv) Melalui Pembelajaran Online Di Masa Pandemi Kelas X Smk Negeri 2 Binjai. Jurnal Serunai Matematika, 13(1), 01–08. https://doi.org/10.37755/jsm.v13i1.351
Sudrajat, S. (2015). Pendidikan Multikultural Untuk Meningkatkan Kualitas Pembelajaran Ips Di Sekolah Dasar. JIPSINDO, 1(1). https://doi.org/10.21831/jipsindo.v1i1.2874
Supriyadi, E. W. A., Suharto, S., & Hobri. (2017). Analisis Kemampuan Koneksi Matematis Berdasarkan NCTM (National Council of Teachers of Mathematics) Siswa SMK Kelas XI Jurusan Multimedia pada Pokok Bahasan Hubungan Antar Garis. Kadikma, 8(1).
Tamba, K. P., & Siahaan, M. M. L. (2020). Pembuat Nol sebagai Hambatan Didaktis dalam Pertidaksamaan Kuadrat. JNPM (Jurnal Nasional Pendidikan Matematika), 4(2). https://doi.org/10.33603/jnpm.v4i2.3614
Tsamir, P., & Almog, N. (2001). Students’ strategies and difficulties: The case of algebraic inequalities. International Journal of Mathematical Education in Science and Technology, 32(4). https://doi.org/10.1080/00207390110038277
Tsamir, P., & Bazzini, L. (2004). Consistencies and inconsistencies in students’ solutions to algebraic ‘single-value’ inequalities. International Journal of Mathematical Education in Science and Technology, 35(6). https://doi.org/10.1080/00207390412331271357
Untu, Z., Purwanto, P., & Parta, I. N. (2020). Kesalahan guru dalam pembelajaran matematika materi bangun datar ditinjau dari Pengetahuan deklaratif. JPIn: Jurnal Pendidik Indonesia, 3(1). https://doi.org/10.47165/jpin.v3i1.82
Wahyuningsih, B. Y. (2022). Analisis Kesulitan Pemahaman Siswa pada Pembelajaran Matematika Materi Persamaan dan Pertidaksamaan Linear Satu Variabel. MASALIQ, 2(4). https://doi.org/10.58578/masaliq.v2i4.463
Yusmin, E. (2017). Kesulitan Belajar Siswa Pelajaran Matematika. Jurnal Visi Ilmu Pendidikan, 9(1).
Downloads
Published
How to Cite
Issue
Section
License
Copyright (c) 2024 Jurnal Padegogik
This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
The submitting author warrants that
- The submission is original and that she/he is the author of the submission together with the named co-authors; to the extend the submission incorporates text passages, figures, data, or other material from the work of others, the submitting author has obtained any necessary permission.
- Articles in this journal are published under the Creative Commons Share-Alike Attribution Licence (CC-BY-SA What does this mean?). This is to get more legal certainty about what readers can do with published articles, and thus a wider dissemination and archiving, which in turn makes publishing with this journal more valuable for you, the authors.
- By submitting an article the author grants to this journal the non-exclusive right to publish it. The author retains the copyright and the publishing rights for his article without any restrictions.