E.g. when a method has been called recursivly a few times there will be several - eh- instances(?) of that method active? Or what would you call such an instance? An invocation?
Let's say for now invocation is the word. Say I am talking about a specific invocation and want to talk about the invocation that called this one, or the invocation this one called. How do I refer to these other invocations relative to this one? Parent and child? Higher or lower level? Prior or following? Time for an example:
Say myFactorial is first invoked with the parameter 5. The next invocation will be 4, the following 3 and so on. So, relative to the invocation that has 3 as a parameter, how do you refer to the invocations with 2 and 4 as parameters respectivly? (of course, not all examples of recursion are as straight forward as this).
What I learn is that there is no well established terminology (and may be not even a need for one). Your suggestions are fine with me. Except I feel a tiny bit of reluctance to using "iteration", basically because that term has a well established meaning in loops (for, while etc.).
Iteration means the act of repeating a process usually with the aim of approaching a desired goal or target or result. Each repetition of the process is also called an "iteration", and the results of one iteration are used as the starting point for the next iteration.
In my opinion, perfectly applicable.
For what it is worth Wikipedia says "In computer science, iterated functions occur as a special case of recursive functions, which in turn anchor the study of such broad topics as lambda calculus, or narrower ones, such as the denotational semantics of computer programs." The concepts of iteration and recursion do not appear to be necessarily mutually exclusive. Obviously, context is important.