subrosaDom
Posts: 724
Joined: 2/16/2014 Status: offline
|
quote:
ORIGINAL: DomKen quote:
ORIGINAL: quizzicalkitten Common core was put in place by the department of education which is a federal program if Im not mistaken... and the standards are bullshit Nope. It was developed by the National Governors Association. The feds had nothing to do with it. quote:
Examples of CC Standards CCSS.Math.Content.5.NBT.A.2 Explain patterns in the number of zeros of the product when multiplying a number by powers of 10, and explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10. Use whole-number exponents to denote powers of 10. Basic to understanding multiplication quote:
CCSS.Math.Content.8.G.A.4 Understand that a two-dimensional figure is similar to another if the second can be obtained from the first by a sequence of rotations, reflections, translations, and dilations; given two similar two-dimensional figures, describe a sequence that exhibits the similarity between them. CCSS.Math.Content.8.G.A.5 Use informal arguments to establish facts about the angle sum and exterior angle of triangles, about the angles created when parallel lines are cut by a transversal, and the angle-angle criterion for similarity of triangles. basic geometry quote:
They also allow for no deviation for the way other people might learn: For example Division is taught currently in 6th grade, that you are to manually do a problem as follows 6/150 Six times 10 is 60 six times 20 is 20 six times 25 is 150 so 6/150 is 25 and you are to do multiplication and add your numbers up in a guess instead of going 6 goes into 15 twice with the remainder of 3, bring down the zero and you have 30 six goes in to 30 5 times, the answers 25. Because of this instead of being able to do 10 to 20 math problems in an hour course you might be able to do 3 or 4, which means less practical skill is taught, you also spend longer explaining the "cc standard way" then the normal long division way, and if you deviate in most schools in my state as an example your given an F even if you come to the correct answer. That stuff is not in the CC standard. Your state may have that stuff in but that is not the fault of CC. You quoted the CC standards above and they include nothing about how a specific item is to be taught. Just that it is to be covered and in which grade and in roughly what order. BTW division is taught long before 6th grade. The standard starts teaching it in 3rd grade. The great thing about the standards is that people can go read them and see through all the negative hype. http://www.corestandards.org/Math/ You can easily see for yourself that there is no 6th grade requirement remotely like what you quoted. The way most of those standards are stated is appalling. It's barely understandable. The whole powers of ten stuff is worse than God-awful. "Patterns in the number of zeros"? -- You should be teaching relationships, not a pattern, which sounds arbitrary. And that explanation of 6x10 sounds like a great technique to break prisoners in Guantanamo. At the least you would say: If you have, e.g., 6x10, then by the commutative property of multiplication, the order does not matter. Therefore, we can write 10x6. As far as division goes, you want to teach that 150/6=25 and therefore since you now have 6 pieces of 25 each that must be what you started with. To verify that, simply put them back together. Multiple 6x25 and indeed you get 150. You can now apply that the other way. If you divide 150/25 you get 6, meaning 25 separate pieces of 6. Multiply to put them back together again. The difference in my explanations is that I provide some basis for why these things are true instead of just throwing random numbers out there. Ideally you would ultimately treat these cases with variables, showing that for any x/y = q, that qy = x and in higher math using this as a way to prove the irrationality of numbers where x/y does not exist as a representation for the underlying number. CC or whatever this mess is fails to do any of that.
_____________________________
The surest way to corrupt a youth is to instruct him to hold in higher esteem those who think alike than those who think differently. - Nietzsche
|