eng Science and Education Publishing American Journal of Educational Research 2327-6150 2021-06-04 9 6 330 334 10.12691/education-9-6-1 EDUCATION2021961 article Joseph B. Ajan Jr jbajan47@gmail.com 1 Charita A. Luna 1 Dennis B. Roble 1 University of Science and Technology of Southern Philippines, Lapasan Highway, Cagayan de Oro City, Philippines The military of every country is viewed as a problem-solving and decision-making branch of government for safety concerns. To enrich the military students¡¯ problem-solving skills and decision-making ability, they must be trained to become excellent problem solvers. This study focused on determining the military students¡¯ personal attributes like their self-concept in mathematics, mathematical beliefs, and metacognitive awareness in relation to their problem-solving performance. The study was conducted in a military school in the Philippines for second-year cadets during the first term of the academic year 2019-2020. This study used a descriptive correlational research design. The instruments used in this study are the mathematics self-concept, mathematical beliefs, and Metacognitive Awareness Inventory (MAI). A validated teacher-made test with a reliability coefficient of 0.73 was used with a rubric scale to measure students¡¯ problem-solving performance. The correlation and regression analysis was used to analyze the data collected. Results of the analysis revealed that students¡¯ self-concept in mathematics and metacognitive awareness, self-concept and problem-solving performance, and metacognitive awareness and problem-solving performance has a strong positive correlation while students¡¯ mathematical beliefs and metacognitive awareness, as well as the students¡¯ self-concept in mathematics and metacognitive awareness, showed a low positive association. Further analysis also showed that students¡¯ self-concept in mathematics and metacognitive awareness is found to predict military students¡¯ problem-solving performance. Hence, it is recommended that military school professors need to develop students¡¯ self-concept in mathematics and use metacognitive teaching strategies in teaching mathematics to enhance students¡¯ problems solving skills. Further research can be explored for other factors that may affect military students¡¯ problem-solving skills. http://pubs.sciepub.com/education/9/6/1/education-9-6-1.pdf self-concept in mathematics mathematical beliefs metacognitive awareness mathematics problem solving performance military school