I taught a 5 year old that 1 + 1 = 10, and they got in trouble at school for arguing with the teacher. Even after explaining that 1 + 1 = 10 in binary specifically, as the teacher was complaining to the parents "whatever that means". The parents asked me to be more careful with my "teaching".
>I get your teacher was dumb, but technically it could be on the right side.
Let's be fair, a 5 year is only in kindergarten, so I would not expect a kindergarten teacher to be fully expecting a 5 year old to be talking about binary or even fully educated in other counting methods than base 10. That doesn't make them dumb. I'm sure that teacher could teach you things without calling you dumb.
Are you saying that my not expecting a kindergarten teacher to be educated in binary math is condescending?
I got your point that 10 in binary is not actually base 10 10, but 2 in base 10. It was just not worth commenting as it was a discussion about a 5 year old conversation not the semantics of math.
I mean, I'd want my kindergarten teacher to be focused teaching kindergarteners. I don't want them to be an expert on calculus, just be the best teacher for a kindergartener. Same thing as "i want my IDE to focus on being an IDE, and not add facebook integration".
I feel like making sure the absolute fundamentals are well ingrained in your kid is way more important than trying to teach them binary.
Important stuff like learning the alphabet. How to read simple books. Things like that.
That was my point. Expecting a kindergaten teacher to do anything beyond those things you listed is not reasonable. It's great if after teaching a day of kindergartners they can then do an evening teaching college classes, but that's so not the norm. Stating that a teacher at this level is not fully versed in binary is not an insult. It's more insulting to think that someone was able to construe that from my comment.
I think it depends on what curriculum your school's using; non-base-10 math is a punchline in Tom Lehrer's "New Math" [1]. Common Core might be getting rid of it?
As a side note, comparing the complaints in "New Math" (from 1965) to those offered about Common Core is educational :)
I was taught binary math in elementary school in the mid 70s. The problem was that they had to teach it to the parents too, unless the parents were not able to help their children with homework.
Came here to comment on binary finger counting; found it'd already been said!
I have trouble with some positions due to the ring/pinkie connection, but for me it's more of an internal count anyway, so something like counting a 'down' finger as '1' instead of '0' makes it a lot more comfortable, or even '1' is finger touching a surface, '0' is not - which can involve moving a digit only a few mm or so.
The 1023 thing does require fine motor control of at least ten appendages, though even legs-arms-tongue gets you to 32, if a bit inconveniently.
People’s anatomy differ, and with that also how easy it is to move these digits independently. See for example the answer to this question: https://biology.stackexchange.com/q/60075
Apologies, I didn’t realise people struggled to this extent. I’ve taught many people to count this way and not encountered anybody who struggled, but it was ableist of me to assume that was universal.
[0] https://en.wikipedia.org/wiki/Finger_binary