Anonymous wrote:As a general rule, if you understand something, you can explain it. If you can't explain it, you don't understand it.
There are many things in life we don't understand, but we do use them. The car I drive, the computer I am typing on are just two examples of things I don't fully understand, but that I can make use of (and I am grateful for those things). We teach kids reading and they certainly do not understand why "ph" is pronounced as the "f" sound (we don't teach them etymology and ask them to explain it), but they are able to use reading as a tool to learn things in life. As a previous poster said, we are not all going to be Newton. Some of us need tools to do jobs and we gain those tools. Asking a kindergartener to learn to read is appropriate; asking him to explain the etymology of words is inappropriate. But, you never know. We may need a lot of linguists in the future.
Anonymous wrote:ACT, College Board, et cetera. Looks like people who have a shitload of background and experience in developing standardized testing.
Apparently your preference would have been to hire people who don't know a fucking thing about standardized testing.
So, the ends justify the means?
You've got the "teaching to the test" people writing the standards. Instead of thinking about what kids should learn, they may very well be thinking about standards that are easy to test. That could be a problem. At the very least there should be more perspective.
Anonymous wrote:The Common Core standards do not actually say, "You must be able to do x, and you must only be able to do x, and not one millimeter more."
Of course they don't. But, we've got high stakes testing based on them. That is the real big problem and Duncan will not let go of that.
There are many things in life we don't understand, but we do use them. The car I drive, the computer I am typing on are just two examples of things I don't fully understand, but that I can make use of (and I am grateful for those things). We teach kids reading and they certainly do not understand why "ph" is pronounced as the "f" sound (we don't teach them etymology and ask them to explain it), but they are able to use reading as a tool to learn things in life. As a previous poster said, we are not all going to be Newton. Some of us need tools to do jobs and we gain those tools. Asking a kindergartener to learn to read is appropriate; asking him to explain the etymology of words is inappropriate. But, you never know. We may need a lot of linguists in the future.
The Common Core standards do not actually say, "You must be able to do x, and you must only be able to do x, and not one millimeter more."
As a general rule, if you understand something, you can explain it. If you can't explain it, you don't understand it.
Anonymous wrote:
It doesn't matter whether you have standards from God. You still have to look at the student and decide what and how to teach . . . whether the kid has already mastered the standard or is way behind. The standards are wishful. You can wish for something and it may or may not happen. Reality has to be the guide.
And for those who have had their wishes granted, there needs to be another step to reach for . . . always. Life without the climb is dull and meaningless.
The student is the core and the student is never common.
School is to help people reach their potential---and it's a different potential for every single person, like it or not.
Anonymous wrote:
I'm not sure what the thinking was behind this "explanation" thing. Maybe the people at Microsoft have a hard time communicating their logic and somebody thinks this problem could be resolved starting in kindergarten?
And there's nothing in CC standards that state that kids cannot memorize math facts. They are just placing an emphasis early on to understand the concepts and have better numeracy skills. Nothing wrong with that. Like I said, in 3rd grade, DC's teacher had DC memorize the multiplication table last year. Also, in 1st grade, my other DC learned a little rhyme from the teacher to memorize additions up to 10. But, DC also knows how to add quickly using base 10 method. Again, all learned under 2.0, or CC based math.
Anonymous wrote:Anonymous wrote:
I don't know what kinds of kids you are seeing, but my kids can do mental math without a calculator. They are 6 and 9. My 6 yr old uses the base 10 method of adding/subtracting to do mental math. This was taught in school, and reinforced at home, and this is how I do mental math, too.
I think only memorizing formulas is a terrible way of teaching. I can do integrals still, but I can't tell you why it's done the way it is because the teachers never emphasized the "whys" only the "hows". That really doesn't help a person understand math and how to apply it to real world concepts.
A math teacher laments the rote memorization techniques.
http://www.bostonglobe.com/opinion/2015/02/12/why-falling-behind-math/WQ34ITFotp30EPF9knjqnJ/story.html
For practical purposes, there's a difference between drilling through the whole deep dive into why versus just trying to quickly figure out a problem. Not all of us are Isaac Newton, who had to invent Calculus, and neither should we have to, when we just have a basic problem to solve. "SOH CAH TOA" - fastest way to solve a triangle, ever. Yes, certainly an explanation of how the relationships of angles and sides in a triangle work is important to teach, but once you are beyond that, memorization is hugely more pragmatic. There's a balance to be had, but not memorizing anything at all and instead relying on people to derive everything from scratch is certainly not pragmatic - but just the same, I don't think there's any reasonable expectation for people to memorize absolutely EVERYTHING and nobody here has proposed that.
I think only memorizing formulas is a terrible way of teaching. I can do integrals still, but I can't tell you why it's done the way it is because the teachers never emphasized the "whys" only the "hows". That really doesn't help a person understand math and how to apply it to real world concepts.
You can argue that this isn't being done because the teacher/school is more focused on getting the rest of the kids up to those standards (which is probably true), but that would be the case regardless of CC standards. Any school district that had baseline standards had this issue due to all the NCLB testing.