The bajillion stories in the comments about horrible experiences with math just reinforce the fact that I’ve made the right career choice.

I became an elementary teacher as a second career specifically because so many elementary teachers are absolutely terrible at teaching math. (Mostly because they don’t actually understand the math that they’re teaching. In my university cohort, almost 50% of my classmates failed the math entrance exam the first time. There was nothing more complex than 5th grade math on that test.)

Students should be allowed to use the strategies that work for them, and they should definitely never be punished for knowing math from higher grade levels.

If a student in my class knows something more advanced, I will challenge them to use grade-level-appropriate strategies to prove that their answers are correct. And if they demonstrate that they can do both, I’ll give them more advanced work to help them grow.