Apparently SnagIt does record video of your actions on the screen (see attachment). I have never used it for that purpose, so can't vouch for it, but for a free program it could be worth trying first?
I have the non-latest version of SnagIt, which is made available by its makers so that you can try it and if you like, upgrade to the paid version. Nice business model.
So SnagIt for free is available to download from
here, the registration key is:
YW6RC-4YMK6-SZBBD-C2MCW-Q9D96
I hope this still works, of not let me know and can try to find alternative.