Muatan penalaran dan pembuktian matematis pada buku teks matematika SMA kelas X Kurikulum 2013

Tria Utari; Hartono Hartono

doi:10.21831/jrpm.v6i1.17002

Muatan penalaran dan pembuktian matematis pada buku teks matematika SMA kelas X Kurikulum 2013

Tria Utari, SMA Negeri 1 Kepahiang, Bengkulu, Indonesia
Hartono Hartono, Program Studi Pendidikan Matematika, Program Pascasarjana, Universitas Negeri Yogyakarta, Indonesia

10.21831/jrpm.v6i1.17002

Abstract

Penelitian ini bertujuan untuk mendeskripsikan muatan penalaran dan pembuktian matematis pada buku teks matematika SMA kelas X Kurikulum 2013. Penelitian ini menggunakan pendekatan kualitatif deskriptif jenis analisis isi. Sumber data penelitian adalah buku teks Matematika kelas X Kurikulum 2013 edisi revisi 2016 yang diterbitkan oleh Pusat Kurikulum dan Perbukuan Balitbang Kementerian Pendidikan dan Kebudayaan Republik Indonesia. Teknik pengumpulan data dalam penelitian ini adalah pembacaan dan pencatatan dengan menggunakan instrumen yang telah divalidasi berupa pedoman analisis dokumen. Data penelitian dianalisis menggunakan skema Kripendorff yang meliputi pengumpulan data, penentuan sampel, perekaman/pencatatan, reduksi, penarikan kesimpulan dan narasi. Hasil penelitian menunjukkan bahwa pada bagian materi, siswa memiliki kesempatan yang besar untuk menalar dan membuktikan melalui membaca justifikasi namun memiliki kesempatan yang kecil melalui pengembangan justifikasi. Pada soal evaluasi, siswa belum memiliki kesempatan untuk menalar dan membuktikan melalui pengerjaan soal dengan indikator mengevaluasi argumen. Artinya, buku teks belum sepenuhnya memberikan kesempatan bagi siswa untuk belajar menalar dan membuktikan.

Abstract

This study aimed to describe the content of mathematical reasoning and proof in the high school mathematics textbooks 10^th grade Curriculum 2013. This research used descriptive qualitative approach type of content analysis. The source of research data was the high school mathematics textbook of 10^th grade Curriculum 2013 edition of revision 2016 published by Ministry of Education and Culture of the Republic of Indonesia. Data collection techniques in this study was the reading and recording using instruments that had been validated in the form of document analysis guidelines. Research data was analyzed using Kripendorff scheme which included unitizing, sampling, recording/coding, reducing, inferring and narrating. The results showed that in the learning material section students had big opportunities to learn reasoning and proof through justification reading, but they had small opportunities in justification developing. In evaluation section, students had not opportunities to learn reasoning and proof through argument evaluation problem solving. Therefore, the textbook had not fully provided opportunities for students to learn reasoning and proof.

Keywords

analisis isi; penalaran matematis; pembuktian matematis; buku teks; content analysis; mathematical reasoning proof; textbook

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DOI: https://doi.org/10.21831/jrpm.v6i1.17002