Note:- Minecraft: Education Edition's latest 1.19.52 update has patched this method of bypassing the login screen! For the time being, don't update or wait for another method to be discovered! 

This will need to be done every time you want to play Minecraft: Education Edition and can be done on every version of the game.

Programs Needed:
Minecraft: Education Edition
Cheat Engine

How to do:
Step 1 - Open Cheat Engine.
Step 2 - Launch Minecraft: Education Edition.
Step 3 - When you're on the login screen, start a scan with the value of "1".
Step 4 - Click on "Sign In".
Step 5 - Change the value you're looking for to "4" and click on "Next Scan".
Step 6 - Keep clicking "Next Scan" until you have a small list of addresses that are of a value of "4" and that are non-changing.
Step 7 - Change all the addresses you now have on the list to "8". (This is to make sure it works as the addresses you have randomly changes every time.)