SmartmanApps

There’s nothing wrong with calculators

There is if you're talking about calculators on phones, etc. Almost all of them give wrong answers to order of operations questions because the programmer didn't bother checking their Maths first. It's so bad that the Windows calculator in Standard mode says 2+3x4=20. Stick to name brands like Sharp and Casio. They have money invested in the success of their products, so they take more care to make sure it's correct!

Yes, 47% of 47 is certainly much easier to determine

And your real life example of a 47% discount on a $47 item is... where exactly?

Yeah, now calculate 6% of 36

6x3x10 + 6x6, move decimal point 2 places to the left

Replies itt make me believe that everyone on Lemmy is a chatbot

I'm a Maths teacher :-)

people forget that percent literally means per 100 or /100

Yes

the of is standing in for multiplication

No. The M is for Multiplication. O is for Order, as in "to the order of", as in Exponents.

6/100 * 50 = 50/100 * 6

=6x5 /10 (2 zeroes cancel out)

I just think the symbol “%” algebraically means 0.01

Warm. It actually means "per 100", hence the slash to represent a vinculum and the 2 zeroes. Of course in decimal that converts to 0.01.

Yeah stuff like that really ain’t it

Yes it is

It works in a few use cases,

It works in every case where you have multiplying and dividing, including fractions and percentages

but is objectively wrong

No it isn't

detracts from understanding the topic properly

Enhances it actually

That’s why I teach percentages as the fractions they are.

Sounds like you're only teaching as much as you understand. Try understanding more. Students love the tricks that make Maths easier, including this one.

Probably debatable. I think he was more addressing when you need to pull out a specific exception this is a cleaner way to do it. Saves having to rethrow the exception.

That is why the narrow application of standards is another obstacle to learning

No it isn't

I was top of my math classes...

Survivorship bias

i can figure out anything on the 12x12 timestable in a few seconds

Within 2 seconds is the standard expected. Longer than that is lagging behind your peers

As a teacher, no, memorization is an important step before understanding

Yep, same. Without fail the kids I run into who are bad at Maths and "hate Maths" have been poor at mental arithmetic. i.e. not keeping up with what is being taught because they're still struggling with the number-crunching. Once they get up to speed with mental arithmetic their marks improve and they don't hate Maths anymore.

But we have calculators… everywhere

A vast majority of which give wrong answers to order of operations expressions because of programmers who didn't bother checking they had their Maths right when writing a calculator.