In its current state, the question about demonstrating productivity to management should probably be closed for off-topic. However, I don't feel that it's appropriate for me to close that question because I participated in it.
if you start with revision 1 or my edits at revision 3 which improved the readability, the question was about demonstrating productivity and measuring one's work output. This problem is very specific to software development. Unlike most other fields, it's much more difficult to count the output of software developers. Look at manufacturing or electrical engineering - you can could widgets produced or components built and tested fairly easily. In addition, there's a distinct relationship between producing these physical things and being productive. This is something that does not exist in software engineering - creating more UML diagrams or writing more lines of code and unit tests does not make one more productive, at least with regards to adding business value.
However, in revision 4 of the question, the topic was changed drastically with the addition of the last paragraph. It no longer became about demonstrating or quantifying productivity to management. Instead, it became a question about teamwork and team dynamics. These are not topics unique to software development, and are therefore off-topic here.
Now, onto your question. I don't think it should have been closed as off-topic for the same reasons I discussed above - measuring and demonstrating the productivity of a software developer is inherently difficult and unique (although I do think this question has been asked before, so it's probably a duplicate). However, it's not a good question in its present form.
First, most people assume IT manager is usually a technical person. Your question isn't explicit about the role of the person that you are interfacing with, along with what your role is. Then, you go on to provide solutions - it's best served if your question asks a question without presenting solutions (the exception being if you've come up with solutions that are unacceptable - present these and explain why they aren't acceptable). Finally, the final sentence opens the door for a survey of responses, instead of presenting people with an explicit situation and problem that must be overcome, and surveys/getting to know you type questions are not appropriate for Stack Exchanges.
I would say that your question is far more salvagable than the original, especially since it has two answers and only one of which even has a vote. The impact of editing and reopening would be far less than the first question I discussed.