We can argue that the idea of Social Darwinism has influenced the development of many educational systems.  These systems have come to emphasize competition and test taking at lower levels of education.  This can be seen, for example, in the old British system of O-Levels and A-Levels.  In higher education, a hierarchy of schools has arisen.  We know that the best students in the US will go to the Ivy League and similar schools and that those who lose out in the competition will go to lesser schools.

Both of these (we can argue) are signs that Social Darwinism has impacted educational systems.