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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| Published in: | International journal of technology, knowledge and society Vol. 16; no. 4; pp. 1 - 22 |
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| Main Author: | |
| Format: | Journal Article |
| Language: | English |
| Published: |
Champaign
Common Ground Research Networks
2020
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| Subjects: | |
| ISSN: | 1832-3669 |
| Online Access: | Get full text |
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| Abstract | 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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| AbstractList | 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. |
| Author | Riabov, Vladimir |
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| Copyright | Copyright © 2020, Common Ground Research Networks, All Rights Reserved |
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| DOI | 10.18848/1832-3669/CGP/v16i04/1-22 |
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| Snippet | The recent revision of STEM Higher Education requires the identification in the Rivier University curricula of math and computer science methods that can be... |
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| SubjectTerms | 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 |
| Title | Exploring Mathematical and Computational Concepts for STEM Education in Colleges |
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