HAMBATAN BELAJAR DAN DESAIN DIDAKTIS SISTEM PERSAMAAN LINEAR DUA VARIABEL UNTUK MURID KELAS VIII SMP

Maulana Al Aziz Harahap, - and Tatang Herman, - and Aan Hasanah, - (2025) HAMBATAN BELAJAR DAN DESAIN DIDAKTIS SISTEM PERSAMAAN LINEAR DUA VARIABEL UNTUK MURID KELAS VIII SMP. S2 thesis, Universitas Pendidikan Indonesia.

Abstract

Penelitian ini bertujuan mengidentifikasi hambatan belajar yang dialami murid kelas VIII SMP dalam mempelajari materi SPLDV serta merancang desain didaktis pembelajaran efektif untuk mengatasi hambatan tersebut. Hambatan belajar dianalisis secara mendalam terbagi ke dalam tiga dimensi utama (ontogenis, epistemologis dan didaktis). Metode penelitian menggunakan pendekatan kualitatif berbasis Didactical Design Research (DDR), yang melibatkan analisis prospektif terhadap hambatan belajar, perancangan desain didaktis berbasis Hypothetical Learning Trajectory (HLT), serta validasi ahli terhadap rancangan yang dihasilkan. Partisipan penelitian ini sebanyak 30 murid disalah satu SMP di kota Bandung. Instrumen pendukung untuk menunjang pelaksanaan penelitian, seperti lembar tes, pedoman wawancara serta alat perekam suara untuk mendokumentasikan interaksi selama proses wawancara. Pengumpulan data dalam penelitian ini dilakukan dengan mengombinasikan tiga teknik utama, yaitu tes tertulis, wawancara, dan studi dokumen. Hambatan belajar yang dialami murid diantaranya hambatan ontogenis yang berkaitan dengan kesiapan awal dan penguasaan konsep prasyarat, hambatan epistemologis yang muncul dalam tahap pemodelan matematika dan transfer konsep, serta hambatan didaktis yang berhubungan dengan strategi dan media pembelajaran yang digunakan. HLT untuk materi SPLDV di kelas VIII SMP terdiri dari lima tahap utama (pemahaman konteks masalah nyata, representasi masalah lewat tabel, representasi grafik, penyelesaian dengan metode substitusi/eliminasi, serta refleksi dan generalisasi konsep). Desain didaktis yang dirancang memanfaatkan multiple representations berupa simbolik, grafis, verbal, dan tabel, dengan penerapan scaffolding adaptif untuk mendukung pemahaman konseptual dan keterampilan pemecahan masalah secara berjenjang. Rancangan ini bertujuan menyediakan panduan pembelajaran yang komprehensif, adaptif, dan responsif terhadap kebutuhan murid dalam mempelajari SPLDV, sehingga diharapkan dapat meningkatkan kualitas pembelajaran matematika di tingkat SMP. This study aims to identify the learning obstacles faced by eighth-grade students in junior high school while learning the system of linear equations with two variables (SPLDV) and to design a didactical learning framework to overcome these obstacles. The learning barriers are analyzed in-depth and categorized into three main dimensions: ontogenetic, epistemological, and didactical. The research methodology uses a qualitative approach based on Didactical Design Research (DDR), which involves prospective analysis of learning obstacles, the design of a didactical framework based on Hypothetical Learning Trajectories (HLT), and expert validation of the resulting design. The study participants were 30 students from a junior high school in Bandung. Supporting instruments for the research include test sheets, interview guidelines, and a voice recorder to document interactions during interviews. Data collection in this study was conducted using three main techniques: written tests, interviews, and document analysis. The learning barriers experienced by students include ontogenetic barriers related to initial readiness and mastery of prerequisite concepts, epistemological barriers arising during the mathematical modeling stage and concept transfer, and didactical barriers related to the teaching strategies and media used. The HLT for SPLDV in eighth grade consists of five main stages: understanding the context of real-world problems, representing the problem using tables and graphical representations, solving using substitution/elimination methods, and reflecting on and generalizing the concepts. The designed didactical framework utilizes multiple representations, symbolic, graphical, verbal, and tabular, with the application of adaptive scaffolding to support conceptual understanding and problem-solving skills progressively. This design aims to provide a comprehensive, adaptive, and responsive learning guide tailored to students' needs in learning SPLDV, with the hope of improving the quality of mathematics learning at the junior high school level.

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Item Type:	Thesis (S2)
Additional Information:	https://scholar.google.com/citations?hl=en&user=C1JvL48AAAAJ&view_op=list_works&gmla=AElLoL3UGxgqko556A6dO3c9LBq6zF0_PX-r3QdrwQEA6ewvskHDpZzJ0dWOxIsmrIY1LO1QjD3a-aHa0R4cMUeImPES-Dy9MWayzLCk3w3mKw8r47MuPFEeFsCPAYY2fVY ID Sinta Dosen Pembimbing Tatang Herman : 5986217 Aan Hasanah : 6000349
Uncontrolled Keywords:	Hambatan belajar, Desain didaktis, Sistem Persamaan Linear Dua Variabel (SPLDV), Didactical Design Research (DDR), Hypothetical Learning Trajectory (HLT), Multiple representations, Scaffolding. Learning Obstacles, Didactic Design, Two Variable Linear Equation System (SPLDV), Didactical Design Research (DDR), Hypothetical Learning Trajectory (HLT), Multiple Representations, Scaffolding
Subjects:	L Education > L Education (General) 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:	Maulana Al Aziz Harahap
Date Deposited:	22 Dec 2025 04:14
Last Modified:	22 Dec 2025 04:14
URI:	http://repository.upi.edu/id/eprint/145944

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