The problem with science education for example many pre collage science classes are taught by teachers who did not major or minor in math or science so as a result classes are often of low quality a often uninteresting. As a result children are often thought only facts and theory and are often not taught how to actually do science.They often not thought how to critically evaluate scientific claims.
Even worst some times political agendas get in the way of teaching science, a good example is the teaching of man caused global warming without presenting the other side except in ridicule. Furthermore science and other topics are usually taught in a way that encourages conformity which can a actually discourage independent thinking. As a result many people can not think out side the box of what they were taught and it is the independent thinkers and that tend make the great discoveries.
This shows up big time in the way origin is taught in public school science class. Big bang to man Evolution is taught as fact. Efforts to change this to date have been blocked by the courts. Big bang to man Evolution is further pushed by TV programs and other media were in most cases if Creation Science or Intelligent Design are mention all it is in ridicule. As a result people are bombarded by Big bang to man Evolution giving them the impression that it is proven fact despite scientific reasons for questioning it. As a result some people develop a condescending attitude towards Creation Science while actually being ignorant of it, producing an arrogant ignorance that makes an intelligent discussion impossible