Step 1: Research Towers of Hanoi problem
The Towers of Hanoi is a problem frequently used to teach recursive programming techniques.
Step 2: Run the assembly code from Hanoimania
It may require a little tweaking, but basically the problem is already solved. You can compile and run the C code as a comparison if you find it helpful.
Step 3: Read and study the code
Aside from the recursive call techniques, everything the code does has already been encountered in previous programming assignments.
Start by reading the code, then run it in the debugger and see how it works.
Step 4: Write a report
Write a report explaining how the program functions and what the structure of the stack frame is. Include examples of some call sequences along with a diagram of the resulting stack contents, which you can screen capture from the debugger and annotate as necessary.