Missing the link between test scores and genuine understanding
The fact that some people score higher on tests than others, and some countries perform better on international comparisons of test scores than the US, is interpreted to mean that the goal of education should be to raise test scores by focusing on them directly. That is simply wrong. It confuses apparent productivity with authentic productivity. It is roughly akin to focusing on profitability without dealing with the underlying processes that make a business productive.
In essence, for the most part high test scores are the indirect consequence of teaching for depth of understanding. Most of the countries that beat the US on test score results do not, by and large, teach for higher test scores (South Korea is an exception). They teach for understanding, and use test scores as part of a set of useful indicators to help them along the way. Higher test scores are a natural consequence good teaching and powerful learning.