The learning model greatly affects the learning outcomes of students, students will be more interested if they are actively involved in learning. This involvement will build the knowledge and skills of the learners that they constructed themselves so that the results of the material studied will be imprinted longer in memory. However, there are still many teachers who use conventional methods in learning so that students are not interested in learning, plus learning that is carried out remotely or online, which teachers dominate, makes students nervous and not interested in learning. The purpose of this study is to decrypt the influence of problem-posing learning models with enriched virtual strategies on mathematics learning outcomes. This research uses a quantitative approach to experimentation methods with a pretest-posttest design research design. The research samples were students of XI SMK N 1 Adiwerna, SMK N 1 Bumijawa and SMK N 1 Duuhturi, with many samples being 216 learners. The instrument in this study used a test of 30 questions consisting of 25 multiplechoice questions and 5 essay questions. Hypothesis testing using a paired sample t-test. Based on the paired test results, the t-test sample shows the sig value. (2-tailed) of 0.000 < 0.05., then Ha is accepted and H0 is rejected, meaning that there is an influence of the application of the problem-posing learning model with virtual enriched strategies on mathematics learning outcomes.

The purpose of this study is to test (1) teacher professional competence towards student numeracy literacy, (2) teacher professional competence towards student numeracy literacy.This research was conducted on students of class XI MAN 1 Tegal for the 2021/2022 academic year, data obtained from questionnaires and documentation of student numeracy test results. The results of the study (1) the professional competence of teachers has a significant positive effect on the numeracy literacy of students; (2) the pedagogical competence of teachers has a significant positive effect on the numeracy literacy of students;(3) professional competence and pedagogical competence of teachers have a significant positive effect together with the numeracy literacy of students. Based on the results of the study as a whole, it can be seen that professional competence and pedagogical competence of teachers can affect the numeracy literacy of students.