KEMAMPUAN LITERASI MATEMATIS SISWA SMA MELALUI IMPLEMENTASI DESAIN DIDAKTIS MATERI SISTEM PERTIDAKSAMAAN LINEAR DUA VARIABEL

Nur Elisya, - and Sufyani Prabawanto, - and Kartika Yulianti, - (2025) KEMAMPUAN LITERASI MATEMATIS SISWA SMA MELALUI IMPLEMENTASI DESAIN DIDAKTIS MATERI SISTEM PERTIDAKSAMAAN LINEAR DUA VARIABEL. S2 thesis, Universitas Pendidikan Indonesia.

Abstract

Pendidikan di Indonesia terus beradaptasi untuk menyiapkan generasi muda menghadapi tantangan abad ke-21 melalui penguasaan berbagai keterampilan, salah satunya literasi matematis. Literasi matematis menekankan kemampuan individu untuk merumuskan (formulate), menggunakan (employ), dan menafsirkan (interpret) matematika dalam berbagai konteks serta mendukung pengambilan keputusan dalam kehidupan sehari-hari. Penelitian ini bertujuan untuk menganalisis kemampuan literasi matematis siswa SMA melalui implementasi desain didaktis materi Sistem Pertidaksamaan Linear Dua Variabel (SPtLDV). Penelitian ini adalah penelitian kualitatif dengan pendekatan fenomenologi hermeneutik dan menggunakan kerangka Didactical Design Research yang memuat tiga tahap: (1) analisis prospektif, untuk mengidentifikasi learning obstacle dengan melibatkan 36 siswa; (2) analisis metapedadidaktik, untuk mengimplementasikan desain didaktis hipotetis dengan melibatkan 20 siswa; dan (3) analisis retrospektif, untuk merefleksikan dan mengevaluasi desan didaktis. Pengumpulan data dilakukan melalui studi dokumentasi, observasi, wawancara, dan tes tertulis. Hasil penelitian menunjukkan bahwa: (1) terdapat hambatan epistemologis, ontologis, dan didaktis yang mempengaruhi proses Formulating, Employing, dan Interpreting siswa; (2) Hypothetical Learning Trajectory (HLT) disusun berdasarkan analisis hambatan belajar untuk mengakomodasi alur berpikir siswa dalam membangun pemahaman SPtLDV; (3) desain didaktis hipotetis materi SPtLDV disusun berdasarkan theory of didactical situation yang memuat empat situasi yaitu aksi, formulasi, validasi, dan institusionalisasi; dan (4) implementasi desain didaktis menunjukkan bahwa interaksi siswa dengan lingkungan pembelajaran (millieu) dapat menciptakan situasi didaktis yang mendukung pemahaman konsep SPtLDV serta kemampuan literasi matematis siswa meskipun beberapa perbaikan masih diperlukan. Education in Indonesia continues to adapt to prepare the younger generation for 21st-century challenges, particularly through the development of mathematical literacy. Mathematical literacy emphasizes an individual’s capacity to formulate, employ, and interpret mathematics in a variety of contexts and to support decision-making in everyday life. This study aims to analyze senior high school students’ mathematical literacy through the implementation of a didactical design for the topic of Systems of Linear Inequalities in Two Variables (SLITV). This study employs a qualitative research design with a hermeneutic phenomenological approach and adopts the Didactical Design Research framework, which consists of three stages: (1) prospective analysis to identify learning obstacles involving 36 students; (2) metapedadidactic analysis to implement the hypothetical didactical design involving 20 students; and (3) retrospective analysis to reflect on and evaluate the didactical design. Data were collected through document analysis, classroom observations, interviews, and written tests. The results indicate that: (1) epistemological, ontological, and didactical obstacles affect students’ Formulating, Employing, and Interpreting processes; (2) a Hypothetical Learning Trajectory (HLT) was developed based on the analysis of learning obstacles to accommodate students’ thinking processes in constructing an understanding of SLITV; (3) the hypothetical didactical design for SLITV was developed based on the Theory of Didactical Situations and (4) the implementation of the didactical design demonstrates that students’ interactions with the learning environment (milieu) can create didactical situations that support students’ understanding of SLITV and enhance their mathematical literacy, although several improvements are still required.

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Item Type:	Thesis (S2)
Additional Information:	https://scholar.google.com/citations?user=8i8wUxsAAAAJ&hl=en ID SINTA Dosen Pembimbing Sufyani Prabawanto: 5995121 Kartika Yulianti: 5979108
Uncontrolled Keywords:	Desain Didaktis, Sistem Pertidaksamaan Linear Dua Variabel, Literasi Matematis, Learning Obstacle Didactical Design, Systems of Linear Inequalities in Two Variables, Mathematical Literacy, Learning Obstacles
Subjects:	L Education > LB Theory and practice of education L Education > LB Theory and practice of education > LB1603 Secondary Education. High schools Q Science > QA Mathematics
Divisions:	Fakultas Pendidikan Matematika dan Ilmu Pengetahuan Alam > Pendidikan Matematika - S2
Depositing User:	Nur Elisya
Date Deposited:	31 Dec 2025 07:30
Last Modified:	31 Dec 2025 07:30
URI:	http://repository.upi.edu/id/eprint/146250

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