According to today's NYT, part of the proposed national curriculum states that third graders should "[u]nderstand that rectangular regions can be tiled with squares in rows and columns, or decomposed into such arrays." (K-12 Math Standards, p. 21)
But that's not true. By definition, if the sides of a rectangle are in an irrational proportion, it cannot be decomposed into an array of squares.
But that's not true. By definition, if the sides of a rectangle are in an irrational proportion, it cannot be decomposed into an array of squares.
(no subject)
Date: 2010-03-11 06:27 pm (UTC)But it's okay. It's only EUROPEAN paper sizes that are based on the square root of 2 as their aspect ratio. The AMERICAN paper size of 8.5 inches by 11 inches IS rational.
(no subject)
Date: 2010-03-11 10:30 pm (UTC)(no subject)
Date: 2010-03-12 01:29 am (UTC)(no subject)
Date: 2010-03-12 06:53 am (UTC)Tell it like it is, Brother Rubrick... tell it like it is! :o)