Penelitian ini bertujuan untuk mengetahui : pengaruh keaktifan belajar terhadap hasil belajar matematika siswa; pengaruh kemandirian belajar terhadap hasil belajar matematika siswa; pengaruh keaktifan belajar dan kemandirian belajar terhadap hasil belajar matematika siswa kelas xi smk kesehatan kaltara tarakan. penelitian ini dilaksanakan pada semester ganjil tahun ajaran 2021/2022. jenis penelitian yang digunakan adalah penelitian kuantitatif dengan metode survey. sampel dalam penelitian ini adalah seluruh populasi di kelas xi smk kesehatan kaltara tarakan sebanyak 75 siswa. teknik penggumpulan data dalam penelitian ini dengan menyebarkan kuesioner kekaktifan belajar dan kemandirian belajar dan dokumen hasil belajar matematika. data yang diperoleh diolah dengan program pengolahan data statistik yaitu spss 26.0. hasil penelitian ini menunjukkan bahwa terdapat pengaruh secara parsial antara keaktifan belajar terhadap hasil belajar matematika siswa kelas xi smk kesehatan kaltara tarakan dengan persamaan regresi Ŷ1 = 57,577 + 0,257 x, dan terdapat pengaruh secara parsial antara kemandirian belajar terhadap hasil belajar matematika siswa kelas xi smk kesehatan kaltara tarakan dengan persamaan regresi Ŷ2 = 54,390 + 0,290 x. selain itu hasil penelitian menujukkan terdapat pengaruh yang signifikan secara simultan antara keaktifan belajar dan kemandirian belajar terhadap hasil belajar matematika siswa kelas xi smk kesehatan kaltara tarakan, dengan persamaan regresi Ŷ = 29,901 + 0,299x1 + 0,334x2. berdasarkan hasil perhitungan koefisien determinasi diketahui keaktifan belajar dan kemandirian belajar secara simultan memberikan pengaruh sebesar 13,2% terhadap hasil belajar matematika siswa kelas xi smk kesehatan kaltara tarakan. kata kunci: keaktifan belajar, kemandirian belajar, hasil belajar matematika

This research aimed to figure out: the effect of active learning on mathematical learning achievement; independent learning on mathematical learning achievement; as well as both active learning and independent learning on mathematical learning achievement of grade xi students at smk kesehatan kaltara tarakan. this research was conducted in the odd semester of the academic year 2021/2022. this research used is quantitative study with a survey method. the research samples were the entire population of 75 grade xi students at smk kesehatan kaltara tarakan.. the data were collected by distributing questionnaires on students’ active learning and independence learning as well as through the documents related to the student’ mathematical learning achievement. the colected data were further processed using the statistical data processing program of spss 26.0. the research result showed that active learning partially affected mathematical learning achievement of grade xi students’ at smk kesehatan kaltara tarakan with the regression equation of Ŷ1 = 57,577 + 0,257 x, and independent learning partially affected mathematical learning achievement of grade xi students at smk kesehatan kaltara tarakan with regression equation of Ŷ2 = 54.390 + 0.290 x. in addition, the research results showed that simultaneously active learning and independent learning significantly affected mathematical learning achievement of grade xi students at smk kesehastan kaltara tarakan, with the regression equation of y = 29,901 + 0,299x1 + 0,334x2. the determination coefficient calculation results also showed that active learning and independent learning simultaneously affected mathematical learning achievement of grade xi students at smk kesehatan kaltara tarakan. keywords: active learning, independent learning, mathematical learning achievement