Most of us who teach “complex numbers” (especially to classes where the emphasis is primarily mathematical) take the opportunity at some stage to place the theory firmly on the concept of ordered pair (of real numbers), assuring the students that they have long been familiar with this notion (e.g. plane cartesian coordinates) and its manipulation (e.g. rational numbers as ordered pairs of integers and their arithmetic) without explicitly recognising it. Later we might ask (or even be asked!): How about ordered pairs of complex numbers? This article, consisting of chips from several quite old blocks, offers some forwardlooking ideas for investigation and development. An excellent general reference is [0].
A much expanded version of a “short presentation” (at the 1993 MA Conference in Plymouth), itself extracted from a talk I gave in 1965 to a student Mathematical Society.