Abstract / Synopsis
For high school and college instructors and students, this paper connects number systems, field axioms, and polynomials. It also considers other properties such as cardinality, density, subset, and superset relationships. Additional aspects of this paper include gains and losses through sequences of number systems. The paper ends with a great number of activities for classroom use.
Bill Bauldry, Michael J. Bossé, William J. Cook, Trina Palmer & Jaehee K. Post, "The Number Systems Tower," Journal of Humanistic Mathematics, Volume 13 Issue 2 (July 2023), pages 398-426. DOI: 10.5642/jhummath.QGTJ8530. Available at: https://scholarship.claremont.edu/jhm/vol13/iss2/22