Nusrotul Bariyah, - and Sufyani Prabawanto, - and Jarnawi Afgani Dahlan, - (2025) ANALISIS SAJIAN MATERI TEOREMA PYTHAGORAS PADA BUKU TEKS MATEMATIKA KELAS VIII BERDASARKAN PRAXEOLOGY. S2 thesis, Universitas Pendidikan Indonesia.
Abstract
Teorema Pythagoras merupakan konsep fundamental dalam matematika yang banyak digunakan dalam berbagai bidang, seperti fisika dan rekayasa. Teorema Pythagoras penting dipelajari siswa. Namun, banyak siswa mengalami kesulitan dalam menyelesaikan masalahnya. Berdasarkan studi literatur terungkap bahwa kesulitan siswa terjadi karena adanya hambatan belajar yang diperkuat oleh hasil studi pendahuluan. Penelitian ini bertujuan untuk menganalisis sajian materi teorema Pythagoras pada buku teks matematika kelas VIII kurikulum merdeka berdasarkan praxeology. Untuk mencapai tujuan tersebut, penelitian dilakukan dengan metode kualitatif pendekatan fenomenologi hermeneutik. Pengumpulan data melalui triangulasi data, yaitu tes tertulis, wawancara, dan studi dokumen. Pada tahap pengumpulan data, terdapat 30 siswa dan dua orang guru yang berpartisipasi. Untuk menjaga kredibilitas penelitian, pada tahap analisis dilakukan focus group discussion dan penggunaan perangkat lunak ATLAS.ti. Hasil penelitian menunjukkan bahwa sebagian redaksi kalimat pada buku teks siswa multitafsir, terdapat ketidaksesuaian antara gambar pada contoh soal dan pada pembahasan, ketidaksesuaian konten soal dengan teori yang ada, dan ketidaksesuaian antara konteks soal dan realitas di lapangan, antar tugas tidak koheren, tidak ada ruang bagi siswa dalam mengembangkan tekniknya sendiri dan menyampaikan jastifikasinya. Buku teks guru berisi panduan bagi guru dalam membimbing siswa, hanya saja panduan khusus berada pada jenis tugas kelompok aktivitas dan kategori materi prasyarat. Sebagian jenis tugas telah sesuai dengan kategorinya, dan terdapat penulisan rupiah yang tidak baku pada bagian pembahasan di buku teks guru, ketidaksesuaian antara nama gambar pada soal dan pada pembahasan, serta perbedaan satuan ukuran antara soal dan pembahasan. Implikasi dari sajian materi pada buku teks siswa mengungkap adanya didactical obstacle, selain itu, terungkap juga ontogenic obstacle dan epistemological obstacle dalam menyelesaikan masalah teorema Pythagoras. Penelitian lebih lanjut dapat mengembangkan hypothetical learning trajectory dan desain didaktiknya. The Pythagorean theorem is a fundamental concept in mathematics that is widely used in various fields, such as physics, and engineering. The Pythagorean theorem is important for students to learn. However, many students have difficulty in solving Pythagorean theorem’s problems. Based on the literature study, it was revealed that students' difficulties occurred due to learning obstacles which were strengthened by the results of the preliminary study. This study aims to analyze the presentation of Pythagorean theorem topic in the mathematics textbook of grade VIII independent curriculum based on praxeology. To achieve this goal, the research was carried out using a qualitative method of hermeneutic phenomenological approach. Data collection through data triangulation, namely written tests, interviews, and document studies. At the data collection stage, there were 30 students and two teachers who participated. To maintain the credibility of the research, at the analysis stage, focus group discussions were carried out and the use of ATLAS.ti software. The results of the study show that some of the sentences in the textbooks of multi-interpretation students, there are inconsistencies between the images in the sample questions and in the discussion, the incompatibility between the content of the questions and the existing theory, and the incompatibility between the context of the questions and the reality in the field, between the tasks are incoherent, there is no chance for students to develop their own techniques and convey their meaning. The teacher's textbook contains guidelines for teachers in guiding students, only the specific guidelines are on the type of assignment, group activity, and category of prerequisite material. Some types of assignments are in accordance with their categories, and there are non-standard rupiah writing in the discussion section of the teacher's textbook, inconsistencies between the names of the pictures in the question and in the discussion, and the difference in units of measure between the question and the discussion. The implications of the presentation of material in student textbooks reveal the existence of didactical obstacles, in addition, it also reveals ontogenic obstacles and epistemological obstacles in solving the problem of the Pythagorean theorem. Further research can develop a hypothetical learning trajectory and its didactic design.
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Item Type: | Thesis (S2) |
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Additional Information: | https://scholar.google.com/citations?user=agci8hoAAAAJ&hl=id ID SINTA Dosen Pembimbing: Sufyani Prabawanto: 5995121 Jarnawi Afgani Dahlan: 5974544 |
Uncontrolled Keywords: | Analisis Sajian Materi; Buku Teks; Learning Obstacle; Praxeology; Teorema Pythagoras Topic Presentation Analysis; Textbooks; Learning Obstacle; Praxeology; Pythagorean Theorem |
Subjects: | L Education > L Education (General) 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: | Nusrotul Bariyah |
Date Deposited: | 21 Aug 2025 08:55 |
Last Modified: | 21 Aug 2025 08:55 |
URI: | http://repository.upi.edu/id/eprint/135747 |
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