Sixteenth International Conference on Technology, Knowledge & Society

Abstract

The recent revision of the STEM Higher Education requires the identification of math and computer science methods that can be effectively studied in the university curricula and benefit students in exploring various practical applications, including cybersecurity, data analytics, biotechnology, robotics, space exploration, geophysics, system simulation and modeling, etc. In this paper, the focus is made on analyses of several modern advanced mathematical and computational methods and numerical algorithms (e.g., modular arithmetic, the graph theory, singular differential equations, and direct simulation Monte-Carlo methods) and testing computer programs for studies of encryption algorithms, computer-generated image visualization, code complexity with predictions of potential programming errors, properties of unstable atmospheric phenomena (rain fronts, snow storms), and simulation of hypersonic flows near probes. The enrichment of these concepts with data, knowledge and methods from other disciplines (mathematics, linguistics, meteorology, psychology, physiology, etc.) is also analyzed. The results of this project became a rich foundation for revision of STEM curricula. Extracurricular activities (Math and Biology Clubs, Summer Bootcamps, Field Trips, Chess and Sudoku Tournaments, National Math and Robotics Contests, etc.) helped students reveal curiosity and the power of innovations. The “extra mile” opportunities and examples of students’ outstanding capstone projects are considered in details.