Can you give references to articles/books that contain interesting metaphors for what is wrong in mathematics education from the point of view of mathematicians?
An example for what I am searching:
In this article, the author compares mathematics education to music education where children are taught to translate sheet music from one key to another without ever listening to music or singing because this is considered an advanced topic for college that has to be preceded by good routine practice of the language of music.
Now, this metaphor has some strength and some weaknesses and this is not the right place to discuss them, so I just ask you for links to other metaphors.
I think that this could be a useful and interesting collection, but I will certainly accept if you think otherwise and close this question.