Conversely I have been immediately impressed with the way my first grader is being taught math.

It’s completely different than the way I was taught so I have to invest in figuring it out but it’s led them extremely quickly through multiplication & division and into algebra.

I’d characterize it as “multi-algorithmic”. They come at it from a variety of algorithms, assumedly so that each student can find one that works for them.

As someone who had to teach themselves a different algorithm than I was taught many painful years later this resonates.

Perhaps the rift was always there and you ended up in the lucky side of it?