LOCAL INSTRUCTION THEORY PERBANDINGAN TRIGONOMETRI DENGAN PENDEKATAN MATEMATIKA REALISTIK UNTUK MENGEMBANGKAN KEMAMPUAN REPRESENTASI MATEMATIS

Dini Andiani, - and Darhim, - and Elah Nurlaelah, - (2025) LOCAL INSTRUCTION THEORY PERBANDINGAN TRIGONOMETRI DENGAN PENDEKATAN MATEMATIKA REALISTIK UNTUK MENGEMBANGKAN KEMAMPUAN REPRESENTASI MATEMATIS. S3 thesis, Universitas Pendidikan Indonesia.

Abstract

Penelitian ini bertujuan untuk mengembangkan Local Instruction Theory (LIT) pada materi perbandingan trigonometri dengan pendekatan Pendidikan Matematika Realistik (PMR) guna meningkatkan kemampuan representasi matematis peserta didik. Kemampuan representasi matematis merupakan kompetensi penting dalam pembelajaran matematika, terutama dalam konteks kurikulum abad ke-21 yang menekankan keterampilan berpikir tingkat tinggi. Namun, temuan di lapangan menunjukkan bahwa banyak peserta didik mengalami kesulitan dalam memahami konsep perbandingan trigonometri karena pembelajaran yang cenderung prosedural dan kurang kontekstual. Penelitian ini menggunakan pendekatan design research tipe design research yang terdiri atas tiga tahap, yaitu: eksplorasi awal, teaching experiment, dan analisis retrospektif. Proses design research dilakukan dalam dua siklus untuk mengembangkan dan merevisi LIT secara berkelanjutan berdasarkan temuan lapangan. Data dikumpulkan melalui observasi, wawancara, dokumentasi, dan tes kemampuan representasi matematis. Subjek penelitian adalah peserta didik SMA kelas X di Kota Bandung. Instrumen yang digunakan dalam penelitian ini yaitu tes kemampuan representasi matematis. Hasil penelitian menunjukkan bahwa LIT yang dikembangkan melalui konteks-konteks realistik seperti pengamatan bayangan, kemiringan tangga, dan posisi mata terhadap objek, mampu memfasilitasi pemahaman peserta didik secara lebih mendalam. Peserta didik menunjukkan peningkatan dalam merepresentasikan konsep perbandingan trigonometri melalui bentuk representasi matematis. Dengan demikian, LIT berbasis PMR yang dihasilkan dalam penelitian ini dapat menjadi alternatif strategi pembelajaran yang efektif dan bermakna untuk mendukung pengembangan kemampuan representasi matematis peserta didik pada materi perbandingan trigonometri. This study aims to develop Local Instruction Theory (LIT) on trigonometric ratios using a Realistic Mathematics Education (RME) approach to enhance students' mathematical representation abilities. Mathematical representation skills are essential in mathematics education, especially in the 21st-century curriculum, which emphasizes higher-order thinking skills. However, findings from the field indicate that many students struggle to understand the concept of trigonometric ratios due to a procedural and context-lacking approach to learning. This study employs a design research approach, consisting of three phases: initial exploration, design research, and retrospective analysis. The design research process was carried out in two cycles to develop and revise the LIT continuously based on field findings. Data were collected through observations, interviews, documentation, and tests of mathematical representation skills. The research subjects were 10th-grade students from high schools in Bandung. The instrument used in this study was a mathematical representation skills test. The results show that the LIT developed through realistic contexts, such as shadow observation, ladder incline, and the position of the eye relative to an object, effectively facilitated students' deeper understanding. Students demonstrated improvements in representing the concept of trigonometric ratios through various forms of mathematical representation. Thus, the LIT based on RME developed in this study can serve as an alternative and meaningful instructional strategy to support the development of students' mathematical representation skills regarding trigonometric ratios.

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Item Type:	Thesis (S3)
Additional Information:	https://scholar.google.co.id/citations?user=VmAlN5YAAAAJ&hl=id ID Sinta Dosen Pembimbing: Darhim 6166301 Elah Nurlaelah 6665327
Uncontrolled Keywords:	Local Instruction Theory, Pendidikan Matematika Realistik, Representasi Matematis, Perbandingan Trigonometri, Design Research. Local Instruction Theory, Realistic Mathematics Education, Mathematical Representation, Trigonometric Ratios, Design Research.
Subjects:	L Education > L Education (General) Q Science > QA Mathematics
Divisions:	Fakultas Pendidikan Matematika dan Ilmu Pengetahuan Alam > Pendidikan Matematika - S3
Depositing User:	Dini Andiani
Date Deposited:	23 Jul 2025 06:45
Last Modified:	23 Jul 2025 06:45
URI:	http://repository.upi.edu/id/eprint/134627

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