There should be more place for the philosophy and history of mathematics presented to students. There are some decent resources on the web and there has been more research done on the history of mathematics recently. There are many misconceptions in mathematics and its foundations. Here is a BBC radio program about the foundations of mathematics. You may be surprised by what is discussed. The program is called "GÖDEL'S INCOMPLETENESS THEOREMS" and subtitled "The Dirty Secrets of Maths". If people only knew...
