Final answer:
The two fundamental design considerations for parameter-passing methods are efficiency and programming language calling convention, both affecting the program's performance and correctness.
Step-by-step explanation:
Two fundamental design considerations for parameter-passing methods include efficiency and the programming language calling convention. Efficiency is crucial because the method of passing parameters can significantly affect the overall performance of the program, especially in the case of large or complex data structures. Programming language calling convention is another important consideration as it dictates how parameters are passed from the caller to the callee; different languages and even different compilers might have their own conventions which include passing by value, by reference, by pointer, etc.
Moreover, it can be vital for a programmer to understand whether the language uses a stack-based or a register-based approach for passing arguments and if the language supports pass-by-value, where a copy of the actual parameter is passed, or pass-by-reference, where a reference to the actual parameter is used; both have implications on the execution and behavior of the program.