Senator, I don't think you're understanding the TIMSS exam scores. The exam isn't like a CRT where everyone falls into a category that adds up to 100%, it's a measure of how many total students are in each category. So here's a full breakdown and perhaps this will make more sense.
4th grade:
Low benchmark rate
Singapore 97% USA 93%
Intermediate
Singapore 91% USA 72%
High
Singapore 73% USA 35%
Advanced
Singapore 38% USA 7%
8th grade figures are similar but Singapore is a couple of points higher at every level (99% pass the low level) and the USA is lower at every level.
What this means is you have a population that is full of people who can think logically. It's not the amount of scientists and engineers that we're solely wanting, math is the single most important skill anyone can have aside from knowing how to read. Dr. Yeap Ban Har came and visited Utah in June and one of the profound things he said was, "we are not teaching math, we are teaching thinking through the medium of math." Math skills are primarily logic skills which are useful for everyone.
Steven, here's an example of a couple of problems my kids are doing from the word problems books.
2nd grade: A toy bear weighs 12 oz. It is 7 oz lighter than a toy seal.
a) what is the weight of the toy seal?
b) how much do the two toys weigh altogether?
2nd grade: Alex had the same amount of money as Patrick. Alex saved another $72 and Patrick spent $19. How much more money did Alex have than Patrick in the end?
5th grade: Ryan has three times as many stamps as Hal and twice as many stamps as Jimmy. If they have 220 stamps altogether, how many more stamps does Jimmy have than Hal?
5th grade: Wendy and Tania had 130 rubber bands altogether. After Wendy gave away 1/5 of her rubber bands and Tania gave away 40 of her rubber bands, each girl had the same number of rubber bands left. How many rubber bands did Tania have at first?
These are algebraic in nature and the 5th grade problems would be extremely difficult for our students. Singapore is teaching very difficult concepts with a slightly different model than we use and it's quite brilliant. For an example of this model, I have put Dr. Yeap's presentation on my website.
Here's a link. Look at pages 48-52, and 92. Page 93 shows a fun 2nd grade activity example of how they create fun but solid activities.
As I said before, Singapore doesn't have remediation issues. Everyone learns math because it's presented so clearly that they pretty much all get it.