KEMAMPUAN REPRESENTASI MATEMATIS PESERTA DIDIK SMP MELALUI PENERAPAN DESAIN DIDAKTIS PADA MATERI KUBUS DAN BALOK

Sinitta Marito Simanjuntak, - and Sufyani Prabawanto, - and Jarnawi Afgani Dahlan, - (2025) KEMAMPUAN REPRESENTASI MATEMATIS PESERTA DIDIK SMP MELALUI PENERAPAN DESAIN DIDAKTIS PADA MATERI KUBUS DAN BALOK. S2 thesis, Universitas Pendidikan Indonesia.

Abstract

Penelitian ini bertujuan merancang hypothetical learning trajectory (HLT) dan desain didaktis hipotesis pada materi bangun ruang kubus dan balok untuk mengasah kemampuan representasi matematis peserta didik tingkat SMP. Pendekatan yang digunakan adalah kualitatif dengan metode fenomenologi hermeneutic dalam kerangka Didactical Design Research (DDR) yang mencakup tiga tahap: analisis prospektif (perancangan desain), analisis metapedadidaktik (implementasi desain), dan analisis retrospektif (refleksi dan evaluasi desain). Partisipan penelitian terdiri atas 29 peserta didik kelas IX dan seorang guru matematika (untuk identifikasi learning obstacle), serta 36 peserta didik kelas VIII. Hasil penelitian menunjukkan: (1) terdapat tiga jenis learning obstacle yang teridentifikasi, yakni ontogenic obstacle, didactical obstacle, epistemological obstacle; (2) HLT disusun untuk mengakomodasi alur berpikir peserta didik; (3) desain didaktis hipotesis materi bangun ruang kubus dan balok dirancang berdasarkan Theory of Didactical Situation; (4) implementasi desain didaktis hipotesis memperlihatkan bahwa seluruh rangkaian HLT dapat dilalui peserta didik; (5) hasil tes menunjukkan kemampuan representasi matematis peserta didik berkembang baik; (6) implementasi yang telah dilakukan menggunakan desain didaktis hipotesis menunjukkan hasil positif dimana berkurangnya learning obstacle peserta didik. Temuan ini menegaskan pentingnya desain didaktis yang terencana dan berorientasi pada kemampuan representasi matematis dalam pembelajaran matematika, khususnya pada materi bangun ruang kubus dan balok. This study aims to design a hypothetical learning trajectory (HLT) and a hypothetical didactic design for cube and cuboid spatial geometry topic to hone the mathematical representation skills of junior high school students. The approach used is qualitative, employing a hermeneutic phenomenological method within the framework of Didactical Design Research (DDR), which includes three stages: prospective analysis (design development), metapedagogical analysis (design implementation), and retrospective analysis (reflection and evaluation of the design). The research participants consisted of 29 of IX students and a mathematicst teacher (for identifying learning obstacles), as well as 36 of VIII students. The research results indicate: (1) three types of learning obstacles were identified, namely ontogenic obstacles, didactical obstacles, and epistemological obstacles; (2) HLT was designed to accommodate students thinking processes; (3) the hypothetical didactic design of cube and cuboid spatial geometry topic was based on Theory of Didactical Situation; (4) the implementation of the hypothetical didactic design showed that students were able to complete the entire HLT sequence; (5) test results indicated that students mathematical representation skills improved significantly; (6) the implementation using the hypothetical didactic design yieled positive results, with a reduction in students learning obstacles. These fingdings emphasize the importance of a well-planed didactic design focused on mathematical representation skills in mathematics education, particularly in the teaching of cube and cuboid geometry.

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Item Type:	Thesis (S2)
Additional Information:	ID SINTA Dosen Pembimbing: Jarnawi Afgani Dahlan: 5974544 Sufyani Prabawanto: 5995121
Uncontrolled Keywords:	Kemampuan Representasi Matematis, Learning Obstacles, Desain Didaktis Mathematical Representation Ability, Learning Obstacles, Didactic Design
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:	Sinitta Marito Simanjuntak
Date Deposited:	25 Sep 2025 01:16
Last Modified:	25 Sep 2025 01:16
URI:	http://repository.upi.edu/id/eprint/138517

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