Edited to add this: Singapore math insists however, that we eliminate the use of visuals in describing arithmetic within the rationals. They encourage that users of common core rely upon the number line, and solely the number line for thorough and most mathematically sound representations of arithmetic, even when involving the division of fractions.
For those not up to speed to with common core, remember how the teacher used to draw a diagram of a bunny hopping from one integer to the next integer to represent adding given integers, such as 4+3, or -2+1? Imagine that representation being used with problems like 1/7 divided by 5/49, and no decimal approximation is allowed. It’s fascinating and truly something to appreciate from the standpoint of someone who truly loves mathematics. I think it makes for great discussions amongst math graduates like myself, and other math enthusiasts. What does that mean for those who are not so enthused? Sometimes it means the teacher receives death threats from angry students. You can’t make everyone happy.
I get that. I like the number line approach, and respect it, but I have also observed seasoned math coaches fumble the visual explanation of a division by fractions problem where the numerators and denominations were relatively prime. As soon as the guy had drawn the first fraction and began to say, “we’d multiply by the recipro-…”, I could tell it was going to be long problem. He just stood there, and then asked, “well, how would I go about explaining the ‘keep change flip’, if you will?” He ended the problem by saying he might just explain that the distance drawn for the first fraction needs to be repeated on the other side of the fraction to show the multiplication by the denominator of the second fraction, and then that distance could be broken into parts to demonstrate the division by the previous numerator of the second fraction.
Basically he ended the problem by saying, “let’s just reflect it! Then we can break it up.” There wasn’t really a sound justification for the reflection piece of the process, other than saying, “we need to multiply by the reciprocal of the second fraction, so we’ll just have to multiply by its denominator it had, prior to flipping it.”
That was the quietest meeting I have ever seen amongst that group of adults.
Those people probably got the triad, though. Do you still wet the bed? Do you start fires? Do you torture animals? No? Then you’re probably fine! Being an introvert doesn’t necessarily make you a potential serial killer. Now, if you fit the triad, you might want to get some help.
Those were extremely popular in a town where I worked between 2013 and 2016. As a non-Latina, I laughed a little when I first saw them, because I had never seen any shoes like that. Someone told me they were Oaxacan boots. Men who dress in traditional Oaxacan attire will often wear them.
This. I had my children about two years apart, so laundry was overwhelming for about four years. Until they are potty trained and the spit up stops, you will be doing several loads of laundry each day. I eventually began to wash everyone’s clothes together, with Dreft to save time and electricity. It made my life easier.
The ones on the right contain some exterior angles that are less than 180 degrees, giving them concavity. Not every exterior angle of these shapes is this way, but due to having some exterior angles like this, I called them concave. The ones on the left have none of these such angles.
math is hard ( lemm.ee )
When your profile matches the job ( jlai.lu )
USA school equipment ( lemy.lol )
Nice shoes ( lemmy.world )
Wife just gave birth, this is my life now ( lemmy.world ) Englisch
Still love this baby though
stop playing tetris!!1!1!! ( lemmy.ml )
What's the worst that could happen? ( lemmy.world )
(template stolen from Crow Time comic)