In previous eras in the US, we taught primarily procedure and facts, and assigned lots of practice work. The average kid did _all_ the practice work, for societal reasons that have eroded but are still present in other cultures.
In the course of grappling with all the practice work, the human brain couldn't help but recognize patterns and start to make broader conceptual connections, which led to deep understanding.
Today in the US, teaching facts and procedure first doesn't work, because very few kids get enough practice to start to draw deeper connections. So we are teaching conceptual understanding first, and then layering procedure on top.
But I don't think this is worse. There is some research showing that it works better than the alternatives, and in my experience the top 10% of students (the ones who would have learned well the old way) are still doing quite well and honestly just getting to the "math is fun and interesting" part of the journey a lot earlier in their school careers.