Exploring Mathematical and Computational Concepts for STEM Education in Colleges

The recent revision of STEM Higher Education requires the identification in the Rivier University curricula of math and computer science methods that can be effectively studied and benefit students in exploring various practical applications, including cybersecurity, data analytics, biotechnology, r...

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Bibliographic Details
Published in:International journal of technology, knowledge and society Vol. 16; no. 4; pp. 1 - 22
Main Author: Riabov, Vladimir
Format: Journal Article
Language:English
Published: Champaign Common Ground Research Networks 2020
Subjects:
Algorithms
Arithmetic
Biotechnology
Capstone projects
Clubs
Colleges & universities
Computer graphics
Computer science
Computers
Cryptography
Curiosity
Curricula
Cybersecurity
Data encryption
Digital imaging
Errors
Extracurricular activities
Geophysics
Graph theory
Higher education
Innovations
Linguistics
Mathematics
Numerical methods
Physiology
Prime numbers
Program implementation
Psychology
Revisions
Robotics
Robots
Simulation
Software
Space exploration
Space technology
Steganography
STEM education
Students
Technical education
Visualization
ISSN:1832-3669
Online Access:Get full text
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Summary:The recent revision of STEM Higher Education requires the identification in the Rivier University curricula of math and computer science methods that can be effectively studied and benefit students in exploring various practical applications, including cybersecurity, data analytics, biotechnology, robotics, space exploration, geophysics, system simulation and modeling, etc. In this article, the focus is made on analyses of several modern advanced mathematical and computational methods and numerical algorithms (e.g., modular arithmetic, the graph theory, computer graphics, and steganography with digital images), strategies of testing computer programs, implementation of encryption algorithms, computer-generated image visualization, studies of code complexity with predictions of potential programming errors, and search for large prime numbers. The enrichment of these concepts with data, knowledge, and methods from other disciplines (mathematics, linguistics, psychology, physiology, etc.) is also analyzed. The results of this project became a rich foundation for revision of STEM curricula. Extracurricular activities (Math Clubs, Summer Bootcamps, Field Trips, 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.
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ISSN:1832-3669
DOI:10.18848/1832-3669/CGP/v16i04/1-22