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All Journal Kreano, Jurnal Matematika Kreatif-Inovatif (JIML) JOURNAL OF INNOVATIVE MATHEMATICS LEARNING Journal of Didactic Mathematics JNPM (Jurnal Nasional Pendidikan Matematika)
Lia Ardiansari
Universitas Pendidikan Indonesia
Education Mathematics Other

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Thinking about the equal sign: What do students see about the equal sign? Lia Ardiansari; Didi Suryadi; Dadan Dasari
Journal of Didactic Mathematics Vol 3, No 3 (2022): December
Publisher : Mahesa Research Center

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.34007/jdm.v3i3.1569

Abstract

The equal sign seems to be interpreted differently by students depending on the learning experiences they have had in the early grades. In fact, the interpretation of the equal sign as a relational symbol does not seem easy or fast for many students to understand. This study aims to explore how students from elementary school to college students describe their understanding of the equal sign. The Qualitative Comparative Analysis can be used to analyze several cases in complex situations so that it fits the purpose of this study. The process of collecting data through the method of written assignments, semi-structured interviews, and documentation was carried out in one time period. This study involved 30 participants in Bandung, Indonesia. The results show that although there are substantial differences in viewing the equal sign, there are similarities in terms of dependence on computational methods in drawing conclusions. This is related to how their experience of number sentences in lower grades places more emphasis on rules than on the meaning of concepts.
Students’ Understanding of Algebraic Factorization Problems based on Their Meaning of The Equals Sign Lia Ardiansari; Didi Suryadi; Dadan Dasari
(JIML) JOURNAL OF INNOVATIVE MATHEMATICS LEARNING Vol 5, No 4 (2022): VOLUME 5 NUMBER 4, DECEMBER 2022
Publisher : IKIP Siliwangi

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22460/jiml.v5i4.14483

Abstract

This paper reports an investigation of students' understanding of the concept of factorization in algebraic forms learned in secondary school. A total of 31 grade 8th junior high school students were selected by purposive sampling technique as respondents in this case study research. The case study approach is considered in accordance with the objectives of this study, namely obtaining in-depth knowledge of student problems, knowing the causes of these problems, and efforts that can be made to help overcome them. Methods of collecting data using written tests, interviews, and documentation. Data analysis techniques include data reduction, data presentation, and drawing conclusions. The results showed that there was a misunderstanding of students' concepts about the concept of factorization in algebraic forms so that they experienced difficulties in "algebraic manipulation". One of the causes of these difficulties is the lack of students' understanding of the equals sign as a sign of equality. The principle of mathematical equivalence serves as the main link between arithmetic and algebra. The operation transformation and the meaning of the equals sign in arithmetic as equality can underlie "algebraic manipulation".
Desain Didaktis Pembelajaran Matematika untuk Mengatasi Learning Obstacles Siswa SMP dalam Mempelajari Materi Aljabar Lia Ardiansari; Didi Suryadi; Dadan Dasari
JNPM (Jurnal Nasional Pendidikan Matematika) Vol 7, No 1 (2023)
Publisher : Universitas Swadaya Gunung Djati

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (749.384 KB) | DOI: 10.33603/jnpm.v7i1.7736

Abstract

Abstrak. Penelitian ini dilatarbelakangi oleh banyaknya siswa SMP yang mengalami hambatan belajar (learning obstacle) pada saat mempelajari aljabar. Penelitian desain didaktis (didactial design research) digunakan dalam penelitian ini yang diawali dengan studi pendahuluan untuk mendapatkan data learning obstacle di enam kelas pada tiga SMP dengan kluster yang berbeda-beda. Tujuan dari penelitian ini yaitu menghasilkan suatu desain pembelajaran yang diharapkan dapat meminimalkan learning obstacles yang ditemukan. Terdapat tiga kategori learning obstacle yang ditemukan yaitu ontogenic obstacle, didactical obstacle, dan epistemological obstacle sebelum bahan ajar dibuat. Desain didaktis yang ditawarkan berdasarkan hasil studi pendahuluan tersebut disusun dengan tahapan dimulai dari pemberian konsep awal secara aritmatika, trajectory (penghubung) yaitu tahap pra-aljabar, kemudian konsep akhir aljabar secara formal. Hasil dari penelitian ini merupakan hasil uji coba terbatas kepada 28 siswa kelas VII SMP dimana siswa memberikan tanggapan positif terhadap desain didaktis yang dikembangkan.Kata Kunci: Aljabar, Penelitian Desain Didaktis, Hambatan Belajar.
Students' Understanding of The Equal Sign Based on Their Learning Experience in Arithmetic Lia Ardiansari; Didi Suryadi; Dadan Dasari
Kreano, Jurnal Matematika Kreatif-Inovatif Vol 14, No 1 (2023): Kreano, Jurnal Matematika Kreatif-Inovatif
Publisher : Mathematics Dept, Math. and Science Faculty, Universitas Negeri Semarang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.15294/kreano.v14i1.40930

Abstract

The equal sign is an important concept in learning mathematics karena it is used in almost all branches of mathematics, but not many studies in Indonesia have made the equal sign the focus of research. This study aims to explore how students from elementary school to college students understand the equal sign in the context of arithmetic and algebra at school. A qualitative comparative analysis can be used to analyze several cases in complex situations so that it fits the purpose of this study. Participants consisted of 6 elementary school students, 14 junior high school students, 7 high school students and 3 college students in Bandung. The results of the study indicate that the equal sign is still interpreted narrowly as "result" or a sign to put the Menjawab, and has dependence on computational methods in solving problems and drawing conclusions. Thus, it can be concluded that students' understanding of the equal sign is still at the basic level. The results of this study show evidence that the operational meaning of the equal sign that students have when learning arithmetic will not change by itself without the stimulus provided by the teacher, and even tends to cause obstacles when students learn equations in algebra.Tanda sama dengan merupakan konsep penting dalam pembelajaran matematika karena digunakan pada hampir seluruh cabang matematika, namun belum banyak penelitian di Indonesia yang menjadikan tanda sama dengan sebagai fokus penelitian. Penelitian ini bertujuan untuk mengeksplorasi bagaimana para siswa dari mulai sekolah dasar hingga mahasiswa memahami tanda sama dengan dalam konteks aritmatika dan aljabar di sekolah. A qualitative comparative analysis dapat digunakan untuk menganalisis beberapa kasus dalam situasi yang kompleks sehingga sesuai dengan tujuan penelitian ini. Partisipan terdiri dari 6 siswa SD, 14 siswa SMP, 7 siswa SMA dan 3 Mahasiswa di Bandung. Hasil penelitian menunjukkan bahwa tanda sama dengan masih dimaknai secara sempit yaitu sebagai “menghasilkan” atau tanda untuk meletakkan jawaban, serta memiliki kebergantungan terhadap metode komputasi dalam menyelesaikan masalah dan mengambil kesimpulan. Dengan demikian, dapat disimpulkan bahwa pemahaman siswa tentang tanda sama dengan masih berada di tingkat dasar. 
Co-Authors Dadan Dasari Dadan Dasari Dadan Dasari Didi Suryadi Didi Suryadi Didi Suryadi