clodhopper
Get off my lawn, punk!
I also have a "real math required" degree and generally really good at those sort of "well X is just Y more/less than Z and Z is convenient to work we so if we W T to Z and then A by Y you get V which is the <blah> of T and X like we wanted in the first place" type tricks and it still makes no fucking sense. You need to have a good handle on add, subtract, multiply and divide in order to learn the kind of tricks you need to learn to beat more complex math problems into submission. I'm all for teaching tricks because tricks give you better understanding of things but the trick is harder than just assaulting the problem head on in this case.
This. Unfortunately, math teachers are instructed to use the tricks as alternative ways to teach math for kids who struggle with the traditional methods. Then the teachers go a step further and decide every child needs to master every alternative method. I can't count the number of late nights spent trying to figure out my kids homework that involves a "new" way to do a computation that could be done simply in a couple seconds with a traditional method, and my kid, who didn't understand what the teacher taught poorly, asking why cant they just do it the "normal" way, which would earn them a zero, despite the answer being correct, because they didn't use the correct method. Truly aggravating when you have a masters in engineering and can't work through some crackpot new math graphic solution method presented for elementary math class that takes significantly more time and is prone to minor calc errors along the way.