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the textbook explains it more or less one way. there are many other ways to explain it and many different algorithms for that matter. if you don't get that particular way you probably aren't going to learn much math in the school systems. different people learn different ways and most school systems don't have the time to explain it different ways to different people.

Apprenticeships through union are the best way that I have seen. It's a commitment on par with college typically but you are working and being paid the whole time and when you are done you have options. Being union affiliated has some big advantages if for nothing else than the experience you get.

AC Service tech has excellent videos

A mono flow system should have its own circulator . Never zone valves and balances valves …

This failure in the first video and around time stamp 6:23 on the second video remind me of a flame proving signal being lost. More than likely there is a ground path failure in the Flame Rectification path from the UTEC ignition control thru the flame back the the UTEC control That is common when a burner is connected to the rest of the boiler the way your burners are fitted. To be sure the ground path from the burner to the UTEC control is not corroded or compromised I run a physical ground wire from the pilot burner to the GND (BURNER) terminal of the UTEC Control.

Here is an illustration of the wire in place

This wire will eliminate any fault with the ground connection present from the burner to the control

a good friend was a teacher at a community technical college for many years, solar and hydronics

Before he retired a few years back he noted a majority of the 1st year students could not solve a basis math problem. That makes for a steep hill to climb for plumbing and heating students. Maybe some better testing and prerequisites