Sometime it is very useful to show on an external display the phone screen, for example during a presentation.
If you are using a Windows 10 Mobile smartphone, you know that with Continuum (connecting the phone to a display/projector with the Microsoft Display Dock or with a wireless connection using a Miracast adapter (e.g. Microsoft CG4-00003 Display Adaptor; ScreenBeamMini2) if the remoter device support that kind of standard wireless connection – possibly even using a Miracast adapter attached to it) you can use your smartphone as a PC … but in that case the shown UI is not the same as it appears on a phone, so that is not what you want.
Therefore if you want to show on an external display/projector exactly what you see on a smartphone, you can install on your PC the Project My Screen app. If you have a Windows 10 Mobile device attached to that PC with a USB cable, when that app is running (possibly in full screen mode), on the smartphone display appears a popup asking the consent to let the screen be projected. If you agree, the screen is remotized and everything displayed locally will be shown in real time on the remote screen too.
If you need to make a record of the screen you can use any screen recording SW to create a screencast or a tutorial for an app: there are a lot software around the web, but you can start with CamStudio, which is a free and open-source SW that allows you to record the entire desktop, a window, or just an specific region of the screen. It is convenient to maximize the Project My Screen app window and then launch CamStudio. You can use the Region option to record only a part of the screen and choose if you want your voice to be recorded as well. PS: you could try also movavi, … it seems fine even though I haven’t tried yet!
For both methods, you need to make Android Debugging enabled on your phone to being discovered (e.g. by Vysor app running on the PC). If you have not the Developer Options section in Settings, maybe you have to enable that section clicking more time on Build Number in Settings -> About Phone (IT: Impostazioni -> Info sul telefono): see, for example, How To Enable USB Debugging Mode Android. If USB Debugging mode is enabled, as soon you connect the Android smartphone to the PC via USB, a popup will ask your consent. Then an .apk is installed in the smartphone too. Last note: unfortunately, if you are using the free Vysor (not pro) version, every now and then an advertising …
USB Debugging must be enabled from Developer Options (1)
Using Mobizen is very similar: I found the smartphone displayed on the PC screen nicer, but the procedure to make it work took me a little bit more.
I had to connect the PC directly to Internet to maker the first authentication (if you are in an intranet with a firewall, it cannot connect to its remote server for checking for new versions and so it closes): however once launched and logged, it will continue to work even though you switch again to the intranet network …
Following the site instructions here did not help to me so much, because it was not clear to me where to get the requested 2-steps verification code to be inserted: so I launched on both PC and smartphone the app and login with the same Mobizen account … that’s all to make it work … 😉 Note that it is better to register an account in Mobizen (I did not succeeded to make it work using my social Google account). Sometime the connection got lost …