ANALISIS REPRESENTASI SISWA TERHADAP KONSTRUK PECAHAN SEBAGAI BILANGAN RASIONAL

Putri Astuti, - (2020) ANALISIS REPRESENTASI SISWA TERHADAP KONSTRUK PECAHAN SEBAGAI BILANGAN RASIONAL. S2 thesis, Universitas Pendidikan Indonesia.

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Abstract

ABSTRAK Putri Astuti (1707764). Analisis Representasi Siswa Terhadap Konstruk Pecahan Sebagai Bilangan Rasional. Konsep pecahan memuat beberapa konstruk diantaranya yaitu pecahan sebagai part-whole comparisons, quotients, measures, dan operators. Namun pemahaman konsep pecahan di Indonesia hanya ditekankan pada konstruk part-whole comparisons dengan representasi gambar daerah lingkaran atau persegi panjang yang ternyata tidak dapat digunakan untuk merepresentasikan konstruk lainnya, misalnya pecahan sebagai quotients 3/2. Penelitian ini bertujuan untuk mengungkap representasi pecahan dalam konstruk lainnya yang mungkin diekspresikan oleh siswa. Penelitian ini menggunakan desain penelitian kualitatif dengan tes tertulis yang digunakan untuk memfasilitasi siswa dalam mengekspresikan gagasannya dan wawancara yang digunakan untuk mengklarifikasi hasil tes tertulis. Representasi yang muncul dari responden yang merupakan siswa kelas V, VI, dan VII yang berasal dari sekolah di Kota Bandung yang secara total berjumlah 3×18 siswa diidentifikasi dan dikategorikan berdasarkan jenisnya serta dibahas berdasarkan hasil penelitian terdahulu. Hasil penelitian ini memperlihatkan bahwa representasi yang diekspresikan siswa terhadap setiap konstruk memiliki kecenderungan yaitu penggunaan illustrative dan symbolic representations pada konstruk part-whole comparisons dan measures, linguistic dan symbolic representations pada konstruk quotients, serta symbolic representations pada konstruk operators. Terlihat pula bahwa semakin tinggi tingkatan kelas penggunaan symbolic representations semakin dominan, sebaliknya semakin rendah tingkatan kelas illustrative representations semakin mendominasi. Meskipun demikian terdapat kecenderungan representasi yang serupa yang diekspresikan siswa yaitu penggunaan illustrative representations berupa gambar daerah lingkaran pada penyelesaian soal yang memuat konstruk part-whole comparisons. Kata Kunci : Representasi, pecahan, part-whole comparisons, quotients, operators, measures, illustrative representations, linguistic representations, symbolic representation ABSTRACT Putri Astuti (1707764). Analysis of Student Representations on Fraction Construct as Rational Numbers. The fraction concept contains several constructs including fraction as part-whole comparisons, quotients, measures, and operators. However, understanding the fraction concept in Indonesia is only emphasized on the part-whole comparisons construct with the circular or rectangular areas images representation which apparently cannot be used to represent other constructs, for example fraction as quotients 3/2. This study aims to reveal the fraction representation in other constructs that might be expressed by students. This study used a qualitative research design with written test that was used to facilitate students in expressing their ideas and interview that was used to clarify written test results. Representations that emerged from respondents who were students in grades V, VI, and VII from schools in Bandung totaling 3 × 18 students were identified and categorized by type and discussed based on the results of previous research. The results of this study show that the representation expressed by students to each construct has a tendency, namely the use of illustrative and symbolic representations in the part-whole comparisons and measures construct, linguistic and symbolic representations in the quotients construct, and symbolic representations in the operators construct. It can also be seen that the use of symbolic representations is increasingly dominant as class levels increase, whereas illustrative representations are more dominantly used at lower class levels. Nevertheless there is a similar tendency of representation expressed by students, namely the use of illustrative representations in the form of a circle area in solving problems that contain the construct of part-whole comparisons. Keywords : Representations, fraction, part-whole comparisons, quotients, operators, measures, illustrative representations, linguistic representations, symbolic representation

Item Type: Tugas Akhir,Skripsi,Tesis,Disertasi (S2)
Additional Information: No panggil : T MAT PUT a-2020; NIM : 1707764
Uncontrolled Keywords: Representations, fraction, part-whole comparisons, quotients, operators, measures, illustrative representations, linguistic representations, symbolic representation
Subjects: L Education > L Education (General)
Q Science > QA Mathematics
Divisions: Fakultas Pendidikan Matematika dan Ilmu Pengetahuan Alam > Jurusan Pendidikan Matematika
Depositing User: Putri Astuti
Date Deposited: 09 Sep 2020 03:42
Last Modified: 09 Sep 2020 03:42
URI: http://repository.upi.edu/id/eprint/52787

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