The only way to correctly change code is to deeply understand the implications of the change. This requires a deep understanding of the code and an awareness of the big picture. Yet the "why" of code is rarely ever written down in standard programming practice. The goal is only to elaborate the "how" so the machine can perform the task. The programmer communicates with the machine.
Literate programming, as used in Axiom, is an attempt to communicate with other users, developers, and researchers in addition to the machine. The goal is to have the program read like a story so that others can understand the rational, the theory, the choices, the implications, and the implementation context as well as the "how".
This code is intended to live forever but it is highly probable that you will not. Write to communicate with the next person to pick up the torch. When you explore code, write down what you learn. When you change code, explain why you made your choices. When you write new code explain what others need to know to maintain it.
Axiom is being reworked to use the Firefox browser as the new front end. Static pages from the new hyperdoc show some of the details. These pages will be "live" in the new Axiom hyperdoc.
A first tutorial is available at: http://www.dcs.st-and.ac.uk/~mnd/documentation/axiom_tutorial/
The Rosetta document is a comparison of nearly equivalent commands between many different computer algebra systems.