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HYPOTHETICAL LEARNING TRAJECTORY (HLT) TERHADAP KEMAMPUAN PENALARAN MATEMATIS PADA MATERI TEOREMA PYTHAGORAS Inayah, Hikmi; Prabawati, Mega Nur; Ratnaningsih, Nani
JP2MS Vol 8 No 2 (2024): Agustus
Publisher : Program Studi S1 Pendidikan Matematika FKIP Universitas Bengkulu

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.33369/jp2ms.8.2.258-267

Abstract

Penelitian ini bertujuan untuk merancang suatu lintasan belajar pada pembelajaran teorema pythagoras, Hypothetical Learning Trajectory dirancang dengan memperhatikan Learning Obstacle terhadap kemampuan penalaran matematis yang dialami peserta didik. Banyaknya perserta didik yang mengalami hambatan belajar (Learning Obstacle) pada materi teorema pythagoras dibuktikan melalui studi pendahuluan yang dilaksanakan di SMP Dharma Ksatria kelas VIII A dan VIII B sebanyak 47 peserta didik. Metode yang digunakan adalah Didactical Design Research dengan pendekatan kualitatif. Dari hasil tes kemampuan penalaran matematis peserta didik dikategorikan menjadi 3 kategori yaitu tinggi, sedang, dan rendah. Beradasarkan hasil tes dan wawancara Hambatan belajar yang sering dialami oleh peserta didik pada materi teorema pythagoras seperti peserta didik tidak memahami konsep matematika yang disajikan dalam bentuk soal cerita, peserta didik tidak mampu menyelesaikan operasi akar dan peserta didik belum memahami materi prasyarat terlebih dahulu. Untuk mengatasi hambatan tersebut, peneliti mengusulkan pembuatan lintasan belajar yang berorientasi kemampuan penalaran matematis yang bertujuan memperbaiki hasil pembelajaran. Peneliti menggunakan identifikasi Learning Obstacle untuk menghasilkan Hypothetical Learning Trajectory (HLT) yang berfokus pada penalaran matematis pada materi teorema pythagoras.
Analisis Proses Berpikir Siswa Pada Materi Persamaan Kuadrat Berdasarkan Kemampuan Penalaran Matematis Inayah, Hikmi; Madawistama, Sri Tirto
Advances In Social Humanities Research Vol. 2 No. 1 (2024): Advances in Social Humanities Research
Publisher : Sahabat Publikasi

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.46799/adv.v2i1.165

Abstract

Students' mathematical reasoning skills are very important in understanding mathematical concepts and solving mathematical problems. The lack of students' reasoning ability can affect student learning outcomes that do not reach the target so it needs to be honed in order to realize appropriate learning outcomes. The purpose of this research is to find out students' thought process in solving quadratic equation problems based on mathematical reasoning ability. The type of research used is qualitative research, and uses a descriptive approach. The source of data in this research is class IX students totaling 22 students with the subject selected 3 students. The data analysis technique in this research is qualitative data analysis. From the test results of students' mathematical reasoning abilities are categorized based on the assessment reference. Researchers categorized it into 3 categories, namely high, medium, and low. Based on the results of tests and interviews, students in the high category can fulfill 4 indicators well. Students in the medium category were only able to fulfill indicators 1 and 2 well, for indicator 3 could not be fulfilled well so they could not fulfill indicator 4. Subject 3 in the low category was only able to fulfill indicator 2 well. Indicators 1 and 3 were not well met.