Computational concepts in IT: a new approach to IT mathematics

  • Authors:
  • Soleda T. Leung;Christopher Johnson

  • Affiliations:
  • University of Cincinnati, Cincinnati, OH;Northern Kentucky University, Highland Heights, KY

  • Venue:
  • Proceedings of the 6th conference on Information technology education
  • Year:
  • 2005

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Abstract

Mathematics has always been extensively included in computing curricula. The latest draft of IT Volume recommends a fair amount of mathematics as well. Our question has never been whether mathematics should be taught in computing disciplines; but rather, how to teach mathematical topics effectively so as to provide this crucial foundation for our IT majors. In many cases, mathematics courses provided by institutions are taught by mathematics faculty from a pure mathematical view point. The burden of discovering and making connections between mathematics and IT concepts has fallen mainly to the students. Unfortunately most of the entering IT students lack both the maturity and foresight to see the connection between their core IT courses and the mathematical co-requisites. Consequently, many students become disengaged and regard the study of mathematics as irrelevant or even torturous. In our institution, we were given the opportunity to revamp the IT curriculum based on SIGITE's recommendations. Here we have proposed a new freshman-level course introducing computational concepts with applications based on relevant mathematical topics. Before introducing them, the applications to computing are cited and discussed. Early on in the course, students are taught basic logic for programming, number systems and data representations relating to computing. The students then progress through modulus arithmetic for encryption, different algorithms used in error detection and data compression, and end with probability and statistics of AI. This paper will discuss the process and rationale of topics gatherings, content building, student surveys before and after, as well as thoughts on innovations and pitfalls.