The author's main point seems to be found in the opening paragraph serving as the thesis statement of his blog post: "What I have learned recently and want to share with you is that once we correct (even crudely) for demography in the 2009 PISA scores, American students outperform Western Europe by significant margins and tie with Asian students."

But this is factually incorrect.

1. American students are not outperforming Western Europe by significant margins nor are they tied with Asian students. The blog post is based on data from the PISA 2009 survey. But the United States National Center for Education Statistics (NCES) International Activities Program displays results about high-performing students from PIRLS 2006, TIMSS 2007, and PISA 2009,

http://nces.ed.gov/surveys/international/reports/2012-hps-mr...

and shows European, Asian, and Oceanic countries outperforming the United States in producing high-performing students in reading, in mathematics (especially), and in science.

Looking at the comparable chart about low-performing students

http://nces.ed.gov/surveys/international/reports/2012-lps-mr...

shows, especially in the teenage age range after longer exposure to formal schooling, that the United States has much higher percentages of low-performing students in those subjects than countries in several other regions of the world, again especially in mathematics. Comparing national averages with United States population group averages in the manner proposed by the author is misleading, and he should have considered other data sources.

2. The author, a person who did not grow up in the United States, has acquired English as a working language for his personal writing and scholarly publications after growing up knowing two other Indo-European languages. It amazes me that he didn't even point out that young people in the United States are especially unlikely to have strong foreign-language instruction in school. Way back in the 1980s, the book The Tongue-tied American: Confronting the Foreign Language Crisis,

http://www.amazon.com/The-Tongue-Tied-American-Confronting-L...

which I read soon after it was published, pointed out that the United States appears to be the only country on earth in which it is possible to earn a Ph.D. degree without acquiring working knowledge of a second language. In those days, one way in which school systems in most countries outdid the United States school system, economic level of countries being comparable, was that an American could go to many different places and expect university graduates (and perhaps high school graduates as well) to have a working knowledge of English for communication about business or research. I still surprise Chinese visitors to the United States, in 2012, if I join in on their Chinese-language conversations. No one expects Americans to learn any language other than English. Elsewhere in the world, the public school system is tasked with imparting at least one foreign language (most often English) and indeed a second language of school instruction (as in Taiwan or in Singapore) that in my generation was not spoken in most pupils' homes, as well as all the usual primary and secondary school subjects. At a minimum, that's one way in which schools in most parts of the world take on a tougher task than the educational goals of United States schools. So if learners in those countries merely equal American levels of achievement in national-language reading, in mathematics, and in science, with additional knowledge of English as a second language, that is already an impressive achievement. As long as international educational comparisons don't include comparisons of second language ability acquired by schooling, it will be easy for the United States to rank misleadingly high in those comparisons.

3. Moreover, the author's conclusion is suspect even on the basis of the PISA mathematics scores, correcting thoughtfully rather than crudely for demographic factors. More experienced educational researchers who published a peer-reviewed popular article, "Teaching Math to the Talented"

http://educationnext.org/teaching-math-to-the-talented/

dug into the same PISA 2009 data and reached a differing conclusion: "Unfortunately, we found that the percentage of students in the U.S. Class of 2009 who were highly accomplished in math is well below that of most countries with which the United States generally compares itself. No fewer than 30 of the 56 other countries that participated in the Program for International Student Assessment (PISA) math test, including most of the world’s industrialized nations, had a larger percentage of students who scored at the international equivalent of the advanced level on our own National Assessment of Educational Progress (NAEP) tests."

The PISA program itself has published summary reports suggesting, based on the same 2009 data, that the United States schools underperform relative to levels of public spending on the school system,

http://www.oecd.org/pisa/49685503.pdf

with the report noting that "successful school systems in high-income economies tend to prioritize the quality of teachers over the size of classes," which is not the policy in most states of the United States. Based on those data, a scholar commented, "There are countries which don't get the bang for the bucks, and the U.S. is one of them,"

http://usatoday30.usatoday.com/news/education/2003-09-16-edu...

The PISA program issued another report on how disadvantaged students overcome their backgrounds in national school systems,

http://www.oecd.org/pisa/pisaproducts/pisa2009/48165173.pdf

and the United States underperforms the average of OECD countries in this regard too.

4. The blog author suggests comparing countries as "Asian" or otherwise belonging to a United States "race" category with students in the United States classified by the current official federal "race" categories. The latest TIMSS report,

http://nces.ed.gov/pubs2013/2013009_1.pdf

consistent with a previous TIMSS report available when the author wrote his blog post, shows that the "Asian" average score in the United States in eighth grade mathematics (568) indicates American students underperform, not tie with" students from Singapore (611), Taiwan (606), and Korea (613). The group average comparisons understate the large gap in the percentage of students who reach the highest level of performance in the high-performing countries, which is visually quite apparent in the national comparison tables (e.g., Table 4, page 11 of the link immediately above). Similarly, "white" United States students mostly tie with, not "outperform" students from a variety of countries mostly inhabited by people of European ethnicity.

This methodology is "crude," to use the author's term, because the categories "Asian" and "black" in the United States do not have the same composition of persons from varying ethnic and language backgrounds as the categories "from an Asian country" or "from an African country."
5. The blog post author is counting on readers not to challenge his assumption that "once we correct (even crudely) for demography" is correct procedure for comparing varied national populations with culturally distinct historical experiences and differing school systems. The author's argument appears to be based on a discredited hypothesis built on poorly collected data about the origin of group differences in IQ, with the peer-reviewed refutations of the hypothesis published well before the blog post.

Dolan, C. V., Roorda, W., & Wicherts, J. M. (2004). Two failures of Spearman's hypothesis: The GAT-B in Holland and the JAT in South Africa. Intelligence, 35, 155-173.

http://wicherts.socsci.uva.nl/dolanSH2004.pdf

Wicherts, J. M., Dolan, C. V., & Van der Maas, H. L. J. (2010). A systematic literature review of the average IQ of sub-Saharan Africans. Intelligence, 38, 1-20.

http://wicherts.socsci.uva.nl/wicherts2010IQAFR.pdf

Anyway group differences of the kind to which the author refers are, according the most up-to-date peer-reviewed research, based mostly on environmental factors,

Nisbett RE, Aronson J, Blair C, Dickens W, Flynn J, Halpern DF, Turkheimer E. Group differences in IQ are best understood as environmental in origin. Am Psychol. 2012 Sep;67(6):503-4. doi: 10.1037/a0029772.

http://people.virginia.edu/~ent3c/papers2/nisbett2012groupdi...

so they still raise the question of how learning environments may be improved for learners in some social groups in the United States.

http://www.ams.org/notices/200502/fea-kenschaft.pdf