These teachers have lost their minds. That is entirely inappropriate. I'm a trans man and I wouldn't want my kids taught this at school. They went beyond just telling the kids that some people are a certain way (which school isn't the place for those sorts of discussions). They encouraged the kids to question their gender. It appeared they were promoting it in a way:
"The assignment also allegedly asked students to “create a snowperson that is an example of how you identify yourself,” asking them to then explain their choice.
Alleged screenshots of the lesson also show it endorsing children’s books, including one introducing the students “to the nonbinary experience,” done “through an accessible fictional narrative.”
Another one of the books offered is said to “keep the conversations alive,” related to gender pronouns, and “break down assumptions of who is ‘she’ or ‘he’ and expand beyond the binary to include ‘they’ and more.”"
Why should we be encouraging kindergartners to question their gender, especially using such shaky ideology as a foundation? That will not end up well. As well telling the kids blatant falsehoods as you can be both a man and a woman at the same time, or somehow neither. (Androgyny is another thing, and is more about mannerisms and how you express yourself, which is what "nonbinary" seemed to be rehashing but now it's gone further than that, thanks for gender theory.)
Personally, I don't even believe in the notion of "gender identity". That's an abstract concept that was most likely cooked up by a gender theorist in a university somewhere and then it filtered down into the popular imagination. It just confuses and muddles things when you pretend that it's something unrelated to biological sex, and it makes it sound as if being a man or woman is "all in your head", which helps make transsexuals sound like we're making it all up. I accept the reality of biological sex and didn't transition to destroy it. At the end of the day, we're all male or female, and that includes intersex and trans people. If we're going to decouple being a man or woman from biological sex (and I'm not just referring to genitals), then we're going to need to come up new definitions that are logical and based on sound fact and science, and that doesn't exist.
Adults can't even agree on this, including trans people (who they probably think they're helping with this crap), it's a heavily politicized topic, and not very scientific. It doesn't belong in schools until you get a higher level and are able to debate these things.