APPLICATION OF THE EQUATION OF DISTANCE BETWEEN TWO POINTS FOCUSED ON THE CLOSURE OF POLYGONS IN LAND NAVIGATION, IN THE CAREER OF TECHNOLOGY IN MILITARY SCIENCES, DUAL MODALITY

Abstract

This study presents an applied mathematical model that uses the distance-between-two-points equation from Analytical Geometry to solve real problems of polygon closure in terrestrial navigation training within Military Science education. Employing Universal Transverse Mercator (UTM) coordinates (zone 17M), field data were collected with Garmin GPS devices and contrasted with AutoCAD map measurements to validate the precision of the proposed methodology. The analysis revealed an average deviation below 2%, confirming the model’s reliability for geospatial calculations.

Beyond the technical findings, the approach bridges mathematical theory and field practice, allowing cadets to experience mathematics as a living tool for solving real navigation challenges. By connecting abstract geometric principles to the physical environment, the study humanizes mathematical learning, enhancing motivation, critical reasoning, and professional identity among military students. This work demonstrates the pedagogical potential of contextualized learning in STEM-oriented education, emphasizing that mathematical modeling is not only a matter of precision but also a form of reasoning for strategic decision-making in defense and geospatial operations. Future research will integrate computational modeling tools such as MATLAB, GeoGebra, and GIS platforms to extend the methodology into three-dimensional and dynamic terrain analysis.