DESAIN DIDAKTIS MATERI PELUANG BERBASIS KEMAMPUAN PROBABILISTIC THINKING

Atika Defita Sari, - and Didi Suryadi, - and Dadan Dasari, - and Jarnawi Afgani Dahlan, - (2025) DESAIN DIDAKTIS MATERI PELUANG BERBASIS KEMAMPUAN PROBABILISTIC THINKING. S3 thesis, Universitas Pendidikan Indonesia.

Abstract

Masyarakat modern semakin sering dihadapkan pada pembuatan keputusan yang melibatkan kondisi ketidakpastian yang membutuhkan suatu kemampuan berpikir dinamakan probabilistic thinking. Namun pentingnya kemampuan ini berbanding terbalik dengan kesulitan yang dialami siswa dalam menyelesaikan masalah-masalah materi peluang terkait kemampuan ini. Penelitian ini bertujuan untuk menghasilkan desain didaktis materi peluang berbasis kemampuan probabilistic thinking. Penelitian ini merupakan penelitian kualitatif dengan pendekatan fenomenologi hermeneutik. Didactical Design Research dipilih menjadi desain penelitian ini yang terdiri tiga tahap analisis yaitu : prospektif (penyusunan desain), metapedadidaktik (implementasi desain), dan retrospektif (refleksi dan evaluasi desain). Penelitian ini melibatkan 6 orang guru Matematika, 35 orang siswa kelas IX yang telah mempelajari materi peluang yang diberikan soal tes untuk melihat gambaran kemampuan probabilistic thinking dan analisis learning obstacle serta siswa kelas VIII yang berjumlah 33 orang siswa untuk implementasi desain didaktis. Pengumpulan data dalam penelitian ini dilakukan melalui studi dokumentasi, observasi, tes, wawancara, serta rekaman audio dan video. Hasil penelitian ini menunjukkan bahwa : (1) dalam menyelesaikan masalah-masalah yang berkaitan dengan situasi ketidakpastian, siswa masih dominan berada pada level berpikir subjektif berdasarkan pengalaman pribadi; (2) terdapatnya penyederhanaan makna peluang pada tingkat sekolah, materi peluang yang disajikan menggunakan dua definisi peluang yaitu definisi klasik dan frekuensi; (3) teridentifikasinya tiga hambatan belajar yang berkaitan dengan pembelajaran materi peluang yaitu hambatan ontogenik (baik yang bersifat psikologis seperti siswa menganggap bahwa mempelajari peluang erat kaitannya akan judi; bersifat instrumental, seperti kesulitan melaksanakan operasi bilangan; dan bersifat konseptual seperti pemahaman yang belum memadai terkait konsep himpunan), hambatan didaktis (ketidaksesuaian urutan tugas), dan hambatan epistemologis (proses memperoleh pengetahuan yang belum epistemik); (4) rangkaian lintasan belajar hipotetik materi peluang disusun berdasar theory of didactical situation yang memuat empat situasi yaitu aksi, formulasi, validasi, dan institusionalisasi; (5) implementasi desain menunjukkan interaksi siswa dengan milleu (lingkungan belajar) menciptakan situasi didaktis yang mendukung konstruksi dan akuisisi pengetahuan materi peluang siswa, meskipun masih dibutuhkan bimbingan dalam hal operasi bilangan bulat; (6) meskipun hasil implementasi memberikan hasil yang positif, masih terdapat perbaikan desain yang kemudian dinamakan desain didaktis rekomendasi. Secara keseluruhan, desain didaktis ini dapat menjadi salah satu desain alternatif dalam melaksanakan pembelajaran topik materi peluang di SMP. Kata kunci : Desain didaktis, Peluang, Probabilistic Thinking Modern society is increasingly faced with decision-making that involves uncertainty, which requires a thinking skill called probabilistic thinking. However, the importance of this skill is inversely proportional to the difficulty students experience in solving probability-related problems. This study aims to produce a didactic design for probability material based on probabilistic thinking skills. This study is a qualitative study with a hermeneutic phenomenological approach. Didactical Design Research was chosen as the research design, which consists of three stages of analysis, namely: prospective (design preparation), metapedadidactic (design implementation), and retrospective (design reflection and evaluation). This study involved 6 mathematics teachers, 35 ninth-grade students who had studied probability material and were given test questions to assess their probabilistic thinking skills and analyze learning obstacles, and 33 eighth-grade students for the implementation of the didactic design. Data collection in this study was conducted through documentation studies, observations, tests, interviews, and audio and video recordings. The results of this study show that: (1) students are still predominantly at the subjective thinking level based on personal experience in solving problems related to situations of uncertainty; (2) there is a simplification of the meaning of probability at the school level. At the school level, probability material is presented using two definitions of probability, namely the classical and frequentist definitions; (3) three learning obstacles related to the learning of probability material were identified, namely ontogenetic obstacle (both psychological, such as students thinking that learning probability is closely related to gambling, and instrumental, such as difficulty in performing number operations); conceptual ones such as inadequate understanding of set concepts), didactic obstacle (inappropriate task sequences), and epistemological obstacle (the process of acquiring knowledge that is not yet epistemic); (4) a series of hypothetical learning paths for probability material was compiled based on the theory of didactic situations, which contains four situations, namely action, formulation, validation, and institutionalization; (5) the implementation of the design shows that student interaction with the milieu (learning environment) creates a didactic situation that supports student knowledge construction and acquisition, although guidance is still needed in terms of integer operations; (6) although the implementation results are positive, there are still improvements to the design, which are then called recommended didactic designs. Overall, this didactic design can be one of the alternative designs in implementing the learning of probability topics in junior high school. Keyword : Didactical Design, Probability, Probabilistic Thinking

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Item Type:	Thesis (S3)
Additional Information:	https://scholar.google.com/citations?hl=en&user=Q-QNZVUAAAAJ ID Sinta Dosen Pembimbing Didi Suryadi : 5994183 Dadan Dasari : 6000619 Jarnawi Afgani Dahlan : 5974544
Uncontrolled Keywords:	Probabilistic Thinking, Desain Didaktis, Materi Peluang Probabilistic Thinking, Didactic Design, Probability Material
Subjects:	L Education > L Education (General) L Education > LB Theory and practice of education Q Science > QA Mathematics
Divisions:	Fakultas Pendidikan Matematika dan Ilmu Pengetahuan Alam > Pendidikan Matematika - S3
Depositing User:	Atika Defita Sari
Date Deposited:	15 Dec 2025 06:56
Last Modified:	15 Dec 2025 06:58
URI:	http://repository.upi.edu/id/eprint/145815

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