While both models appear may similar (both are iterative and consist of requirements, design, coding ,and testing activities) there are significant differences that make them completely different animals. If we were to simply follow a waterfall based approach with small iterations then the flow of activities within an iteration would like look this:
The developers and customers jump back and forth from one activity to another in an unpredictable manner. There is no set path. Instead, as they start implementing a user story or use case, they may discover new insights that require them to revisit and redefine their initial set of requirements which require them to redesign the solution, create or rewrite tests and code. Iterative learning and change is enabled within each iteration. This allows the developers and customers to quickly and easily react to change and stay agile.
So, if you are doing agile right now ask yourself which model your using and if you are not doing the second model then I strongly urge you to try it out. You will find that the agile practices fit better and allows your team to fluidly move from one activity to another. Remember, you are not doing agile if your team isn't continuously learning and able to react to the new knowledge.