Hi Mykhailo,
You can get a list of issues that have changed status using an advanced JQL search. The JQL to use is like this (you can tweak the statuses as you need):
status changed from "To Do" to "In Progress"
Once you have a filter showing what you want, you can present it on a dashboard using the Issue Statistics gadget, or similar.
I hope this helps you a bit.
Sam
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