Here are some suggestions:
(no offence - I am a lot better at bitching about other people's writing than at writing my own)
To use the method I try to describe here, which is among the simplest,
How about naming the method, and providing a brief description of it, so the reader can see what is coming up without reading the whole document, and decide if this is what they want, or they already know that, etc. It also helps to remember things when you come back. (an "abstract" of the document)
Protected Mode isn't mentioned, maybe add it to the prerequisites (there are real-mode "Hello, World" OSes out there) I wasn't sure if you're using it or not from the first glance.
Maybe you can state your assumptions about the reader's knowledge?
You might want to explain what flavor of multitasking _you_ describe, its properties, advantages and limitations, alternatives, etc. Here's an actual question from a newbie (me):
You should now have enough understanding to bring your OS from the DOS age of mono tasking...to the modern age of multi-tasking, multi-threaded operating systems!
Will this method work with privileges and separate address spaces, and why?
---
small, irrelevant details:
Even the CLI (Command Line Interpreter) based linux (using bash, or the like)
1. linux is not CLI-based, CLI may be linux-based. You can start X11 at any time, if you have it.
2. Command-Line Interface, maybe? (as opposed to GUI) "Interpreter" may be valid anyway.
is multitasking - You can switch between processes with F1, F2, F3 and F4 on debian, for instance.
I assume you mean Alt+F* - that switches
consoles (terminals), not processes. You switch between processes (jobs) in shell using fg, bg and ctrl+z to move processes to and from background execution or suspension.
I'll shut up now.