What's wrong with writing their login details on post-it notes?
Of course, it completely depends on the context... but I'm assuming massive attempts to log in are probably coming from an external source, i.e. across the internet. If people don't have physical access to your workstations, putting the post-it note isn't such a terrible thing.
Now, don't get me wrong - I'm not advocating posting login details and pasting them on the monitor. Instead, write `em down and treat that piece of paper like a thousand-dollar bill. Put it in your wallet or purse. If someone gains access to it - you have worse problems than just your password being taken.
And again - if your hacker is onsite and has physical access - you really have worse problems than a password written down and stuck in a drawer (because I'm really not advocating for sticking it on a monitor).
Which of these sounds more secure:
1) Employees are forced to change their passwords every 90 days, but are discouraged from writing the passwords down anywhere.
2) Employees are forced to change their passwords every 90 days, and are encouraged to keep a written copy in their wallet or purse.
Which of those will tend to allow for more secure passwords, realistically?
There's a ton of things to consider - but it always bugs me when someone argues that writing down passwords is a bad thing. It may seem counter-intuitive at first, but I think it's clearly a Good Thing(tm). :)