I just use the "snipping tool" on my laptop. Hit the start button and in the "search" box, type in "snipping tool". Save it to your menu. It's easy to use and convenient, without having to download software.
Snipping tool: While just take out screen shot of your screen, If he really wants to do that then he may also use "Print Screen" button of his keyboard and then go to paint or any tool where he want to paste it using Ctrl + V
But here the Question of Recording Screen, and on this point:
I will like to say that Camtasia Studio 8.1 (uptill now-latest version) is the best, as Capturing HD Screen with Graphics and all so.
[I am not Promoting camtasia, I am saying fact, as I try many recorders. and find this one as usefull]
I’m currently using free online screen recorder. The recorded video is in great quality and can be shared to YouTube immediately with just one click. Also, it’s absolutely free without any restrictions like watermark or time limits. Hope this tool is helpful to you.