Analisis Kesalahan Siswa Dalam Menyelesaikan Soal pada Materi Persamaan Kuadrat

Abstract

Penelitian ini bertujuan untuk mendeskripsikan kesalahan siswa dalam menyelesaikan soal pada materi persamaan kuadrat. Jenis penelitian ini adalah penelitian deskriptif menggunakan pendekatan kualitatif. Subjek penelitian ini adalah 3 orang siswa kelas XI SMK Negeri di Makassar yang dipilih berdasarkan banyaknya kesalahan yang dilakukan dalam menyelesaikan soal pada materi persamaan kuadrat. Adapun teknik pengumpulan data menggunakan metode tes diagnostik dan wawancara kemudian melalui tiga tahapan analisis data yaitu reduksi data, penyajian data, dan penarikan kesimpulan. Hasil penelitian diperoleh bahwa jenis kesalahan yang dialami siswa dalam menyelesaikan soal persamaan kuadrat meliputi kesalahan konsep, kesalahan prinsip, dan kesalahan perhitungan. Hal ini disebabkan karena rendahnya pengetahuan prasyarat siswa tentang operasi bilangan, siswa belum memahami tentang menentukan akar-akar persamaan kuadrat dengan cara melengkapkan bentuk kuadrat sempurna, dan siswa tidak memahami rumus abc untuk menentukan akar-akar persamaan kuadrat, serta siswa kurang teliti menggunakan operasi hitung.Kata kunci: Analisis Kesalahan, Kesalahan Konsep, Kesalahan Perhitungan, Kesalahan Prinsip, Persamaan KuadratThis study aims to describe students’ errors in solving questions of quadratic equation. This research type is descriptive research using qualitative approach. The subject of this research is 3 students of grade XI SMK Negeri in Makassar who were selected based on the number of errors experienced in solving questions of quadratic equation. Data collection techniques used in this study is diagnostic test and interview methods then through three stages of data analysis namely data reduction, data presentation, and conclusion. The results obtained that the types of errors experienced by students in solving quadratic equation included conceptual error, principle error, and calculation error. This was because the low of students’ prerequisite knowledge about number operations, students didn’t understand about finding the roots of quadratic equation by completing the perfect square, students didn’t understand the abc formula to finding the roots of quadratic equation, and students inaccurate using arithmetic operations.Keyword: Error Analysis, Concept Error, Calculation Error, Principle Error, Quadratic Equation

Analysis of Students‘ Error in Learning of Quadratic Equations : Systematic Literature Review

“…When solving quadratic equation problems, students often skip or ignore an important step in the problem-solving process, and their mistakes in solving the problem do not match the instructions given in the problem (Sura et al, 2021). The research found that most students were unable to apply the knowledge they had gained, as they knew the formula to use but did not know the process and procedures to apply it.…”

“…Concept error refers to students' mistakes in classifying or categorizing a group of objects (Soedjadi, 2000). Based on previous research, some examples of students' conceptual mistakes include misinterpreting and misusing mathematical concepts, such as errors in finding the roots of quadratic equations using factoring (Safitri, Halini, & Nursangaji, 2018;Angraini & Kartini, 2020), misunderstanding the symbol ± (Safitri, Halini, & Nursangaji, 2018), and making errors in determining or writing formulas to answer math problems (Sura et al, 2021;Hakim & Hendriana, 2022;Fauziah & Astutik, 2022;Safitri, Halini, & Nursangaji, 2018). In addition, some students cannot convert quadratic equations from standard to vertex form.…”

“…These mistakes are caused by students' lack of understanding of the origin of a principle, not grasping concepts correctly, and not capturing the meaning of symbols (Safitri, Halini, & Nursangaji, 2018). Figure 2 is an example of a conceptual mistake made by students (Sura et al, 2021), where students did not write the abc formula and did not use the abc formula to determine the roots of a quadratic equation.…”

“…Based on previous research (Sura et al, 2021;Angraini & Kartini, 2020;Resky et al 2022) that analyzed students' errors in quadratic equation material from various perspectives (conceptual, principles, procedures, and calculations) and categories (Newman) identified by researchers, it is necessary to have a systematic and comprehensive review to identify, examine, evaluate, and interpret all related studies on students' error analysis in quadratic equation material. Therefore, this study applies the systematic literature review method.…”

Development of Arithmetic Rows and Series Learning Media in Malay Islam Context

“…The two studies also have not provided various evaluation questions, especially based on the context of life in media applications. The provision of subject matter is to link mathematics with real-life contexts is an important portion so that the construction of student understanding can be formed (Nur et al, 2018). This shows that it is necessary to develop learning media that focus on the context of life and involve students actively when using the media.…”