How to design and code a good Program for Computer Programming? This is a question that is always present in the mind of those who learn and teach Programming. Facing a Problem to be solved, this article presents methods to design Programming solutions, presenting case studies with the application of Iterative and Recursive Programming methods, both in the design, as in the coding, execution and testing of Programs, in a learning environment interactive. The Python Programming Language was justifiably chosen, in its imperative paradigm component, and the Online Python Tutor tool was applied for coding, execution and testing, which allows, in an interactive way, to understand the execution of the program and observe the state of the data structures involved, step by step.