Ahmad Fauzan

This research is focused on the prototype development stage to see the practicality of learning devices in developing a ProblemBased Learning model accompanied by Metacognition Instructions. This type of research is qualitative research with a descriptive approach. The informants in this study were students of Mathematics Education at IAIN Kerinci and lecturers of Mathematics at IAIN Kerinci. This study uses instruments 1) In-depth interview sheets for students and lecturers of Mathematics at IAIN Kerinci; 2) Participant Observation; and 3) Documentation.

1. Hasil belajar PAI siswa kelas X MAN 1 Kerinci sesudah diberikan strategi pembelajaran inkuiri diperoleh nilai rata-rata kelas adalah adalah 79,52. 2. Hasil belajar PAI siswa kelas X MAN 1 Kerinci sebelum diberikan strategi pembelajaran inkuiri nilai rata-rata kelas adalah adalah 70,00. 3. Setelah dilakukan analisis data, diperoleh nilai thitung = 2,28 dan nilai ttabel = 1,68 maka thitung > ttabel.

The improvement of mathematical problem-solving ability was the aim of this study through the application of the Realistic Mathematics Education approach compared to conventional learning according to the students' self-efficacy level. This study used a quasi-experimental study with a static group design conducted in eighth-grade students at SMP Negeri 1 Kerinci and SMP Negeri 5 Kerinci. Data collected through the questionnaire to determine students’ self-efficacy level and the test of students’ mathematical problem-solving abilities. The hypothesizes was tested using a t-test.