Maybe try to select just one article that you personally find most interesting, and post it instead?
The Daily .NET News is 1 post a day. Picking one article from it is still 1 post a day. It's all interesting. That's why I get more upvotes than downvotes for them. I stop posting things that get more downvotes than upvotes (such as AI stuff), always have. One person decided to complain about them instead of just downvoting.
If you had a bad teacher that doesn't mean everyone else had a bad teacher.
We teach them how to do proofs, including several specific ones.
We teach them how to use everything, and how to do proofs as well. Your whole argument is just one big strawman.
Happens to be the topic of the post.
Yes it is! 😂
So you could not do the brackets first and still get the right answer? Nope!
2×2×(2-2)/2=0
2×2×2-2/2=7
Not random at all, given you were talking about students understanding how Maths works.
Yes it is! 😂 If I have 1 2-litre bottle of milk, and 4 3-litre bottles of milk, there's only 1 correct answer for how many litres of milk of have, and it ain't 20! 😂 Even elementary school kids know how to work it out just by counting up.
No they don't. The proof of order of operations has got nothing to do with any of the properties you mentioned.
And neither is used to prove the order of operations.
Again with a cherry-picked example that only includes operators of the same precedence.
And yet we have a proof of why 14 is the only correct answer to 2+3x4, why you have to do the multiplication first.
Of course it is. So what?
No it didn't. It had Brackets (with subtraction inside) and Multiplication and Division.
Yep, and I just pointed out that what you just said is wrong. 2-2(1+2) has Subtraction and Distribution.
Which was done first because you had it inside Brackets, therefore not done in the Subtraction step in order of operations, but the Brackets step.
You already know - you know which operations to pick to make it look like there's no such thing as order of operations. If I tell you to look up at the sky at midnight and say "look - there's no such thing as the sun", that doesn't mean there's no such thing as the sun.