grade 1-3 - addition, subtraction, basic shapes (passed off as geometry)
grade 4-6 - addition, subtraction, basic shapes, might see a fraction by grade 6
grade 6-8 - all of the above, fractions, simple geometry.
Then in grade 8-9 where they start to introduce simple algebra.
Having read this, it doesn't surprise me that the students who took no mathematics were able to catch up so fast. You hardly did anything at all.
OK, attempting to jury rigging the K-12 system around the one over here (Ireland), this is how I remember things going(My memory is fuzzy and I wasn't keeping a record at the time. But I think this is fairly representative.).
grades -1,0 - naming numbers 1-10, possibly some teens. Very basic addition. Shapes.
grades 1-2 - General addition, subtraction. Introduction of base number system, unit, tens, hundreds, etc. (Fractions?) Multiplication. Times table, perhaps basic geometry.
grades 3-4 - More times tables. Fractions I presume. Division. Decimals. Long division. More geometry.
grades 5-6 - More decimals. More long division. More geometry(Pi gets badly introduced here). (square roots?). Word problems.
grade 7 - Basic algebra. Exponents. Co-ordinate geometry. Set Theory. Euclidean Geometry. Polynomial Long Division. Simultaneous linear equations.
grades 8-9 - Functions. Basic Trigonometry. Quadratic equations. Basic Statistics. Logarithms. Even more Euclidean Geometry. (Differentiation?)
And my understanding is that what I is somewhat less than that done in the English GCSEs, and apparently pales in comparision to the mathematics curricula in Russia and post Soviet states. I honestly don't know how the US expects to maintain an adequate presences in STEM if the basic mathematics curriculum is so deficient. The notion of an able student of 18 completing 12 years of formal education without being able to differentiate seems very odd to me.
My kids are in 3rd and 4th grade, and your table there looks accurate for them so far with the exception that my son (4th grade) is already doing square root and they started word problems in 3rd grade. From reading over the school districts web site, the comparison ends around the 10th grade mark unless the child chooses to pursue higher level mathmatics (which from what I remember of high school is a small percentage while the rest take some form of applied math or none at all).
Does anyone read To Kill a Mockingbird or Scarlet Letter for entertainment?
I have read both of those books for entertainment value. In high school, I was in a theatrical production of To Kill a Mockingbird. Do you think people went to see it for enjoyment or to explore the human condition?
Why keep them locked up? If there is no chance of someone rejoining and being a productive member of society, execute them and be done with it. That is a waste of good money.
Ok, I had a teacher tell me that Wikipedia is not an acceptable source for information due to the fact that anyone can edit the information on there. With Britannica going the same route, I wonder how long before that will not be a valid source as well? Despite them claiming they are not going to be "wiki" like, if your average Joe can submit information, I wonder how long it will go before people start attacking their credibility the way they have Wikipedia?
As CG graphics improve and more photography is done digitally instead of on film, what's to stop a savvy defense lawyer from convincing a jury to dismiss photographic evidence -- including video from surveillance cameras -- on the grounds that it's computer-generated and therefore fake? Just take a quick look at the R. Kelly trial. Seems it has already begun.
At what point will photographs no longer be credible? When it progresses to the point that we cannot tell a fake from a real photo, could we have possibly blurred the lines between reality and illusion a bit too much? When it gets to the point that photographic evidence is no longer good enough to establish, let's say, an alibi, what will we look to then?
See, you're wrong about this. In any college, you will find discounted copies of software and hardware from Apple, Adobe, and Microsoft. You ever get a look at those "discounts"? I don't know about you, but where I go to college, the "discounted" Photoshop is $250! No way I can hope to pay for that.
Slashdot Mirror
Having read this, it doesn't surprise me that the students who took no mathematics were able to catch up so fast. You hardly did anything at all.
OK, attempting to jury rigging the K-12 system around the one over here (Ireland), this is how I remember things going(My memory is fuzzy and I wasn't keeping a record at the time. But I think this is fairly representative.).
grades -1,0 - naming numbers 1-10, possibly some teens. Very basic addition. Shapes. grades 1-2 - General addition, subtraction. Introduction of base number system, unit, tens, hundreds, etc. (Fractions?) Multiplication. Times table, perhaps basic geometry. grades 3-4 - More times tables. Fractions I presume. Division. Decimals. Long division. More geometry. grades 5-6 - More decimals. More long division. More geometry(Pi gets badly introduced here). (square roots?). Word problems.
grade 7 - Basic algebra. Exponents. Co-ordinate geometry. Set Theory. Euclidean Geometry. Polynomial Long Division. Simultaneous linear equations. grades 8-9 - Functions. Basic Trigonometry. Quadratic equations. Basic Statistics. Logarithms. Even more Euclidean Geometry. (Differentiation?)
grades (10)-11-12 - Complex numbers. Coordinate Trigonometry. Vectors. Differential Calculus. Integration. Binomial Expansions. Probability. More statistics. Matrices.
And my understanding is that what I is somewhat less than that done in the English GCSEs, and apparently pales in comparision to the mathematics curricula in Russia and post Soviet states. I honestly don't know how the US expects to maintain an adequate presences in STEM if the basic mathematics curriculum is so deficient. The notion of an able student of 18 completing 12 years of formal education without being able to differentiate seems very odd to me.
My kids are in 3rd and 4th grade, and your table there looks accurate for them so far with the exception that my son (4th grade) is already doing square root and they started word problems in 3rd grade. From reading over the school districts web site, the comparison ends around the 10th grade mark unless the child chooses to pursue higher level mathmatics (which from what I remember of high school is a small percentage while the rest take some form of applied math or none at all).
Does anyone read To Kill a Mockingbird or Scarlet Letter for entertainment? I have read both of those books for entertainment value. In high school, I was in a theatrical production of To Kill a Mockingbird. Do you think people went to see it for enjoyment or to explore the human condition?
Educate yourself my friend. Christmas is based on non-Christian traditions that were absorbed by Christianity because they could not get people to stop celebrating them. http://en.wikipedia.org/wiki/Christmas or if you don't like Wikipedia http://www.history.com/minisite.do?content_type=Minisite_Generic&content_type_id=61264&display_order=2&mini_id=1290
Why keep them locked up? If there is no chance of someone rejoining and being a productive member of society, execute them and be done with it. That is a waste of good money.
Ok, I had a teacher tell me that Wikipedia is not an acceptable source for information due to the fact that anyone can edit the information on there. With Britannica going the same route, I wonder how long before that will not be a valid source as well? Despite them claiming they are not going to be "wiki" like, if your average Joe can submit information, I wonder how long it will go before people start attacking their credibility the way they have Wikipedia?
http://lawactually.blogspot.com/2008/03/google-moon.html
At what point will photographs no longer be credible? When it progresses to the point that we cannot tell a fake from a real photo, could we have possibly blurred the lines between reality and illusion a bit too much? When it gets to the point that photographic evidence is no longer good enough to establish, let's say, an alibi, what will we look to then?
I wish I had mod points right now.