| Igor' Kontorovich , Rina Zazkis , John Mason - Vol. 41 Num. 1 (2021) | ||
| From one kind of numbers to another: the metaphors of expansion and transition | 47-49 | |
| ABSTRACT: Is the natural number 7 rational? Is it complex? We argue that the answers to these questions relate to the ways numbers are taught. Commonly, a new kind of numbers is presented as an expansion of a previously familiar kind of numbers, which results in a nested image of the relations between number sets. In this article, we introduce an alternative approach, in which one transitions between different numerical domains, some subsets of which are isomorphic. | ||