Someone who might be interested in chemistry would be asking questions about how the world worked long before being forced to balance chemical equations.Common opposition to learner or inquiry-guided learning is that if people guide their own learning there will likely be large holes in their knowledge. It might be hard for someone who is accustomed to an authoritative body setting standards to shift ideas and understand inquiry guided learning. Inadequate experience with a good example of inquiry guided learning probably contributes to the obfuscating effect of our prevailing (and very old) system.
Ironically many of the topics ' covered' in school refer to the work of autodidacts (self-educated persons). These people serve as good models of the process of inquiry and the results of inquiry led learning. I don't think that anyone would fault the following people as having insufficient 'exposure' in their education: Abrahm Lincoln, Charles Darwin, Herman Melville, Michael Faraday, the Wright Brothers, Frank Lloyd Wright, or Leonardo da Vinci. All are autodidacts who understood, versus knew (and then forgot) because they combined curiosity with thought and study. Those all seem too old to be relevant? Ok, then how about Ted Turner, Bill Gates and Steve Jobs?
Our education system places more emphasis on broad education than one of depth. There is an alternative. Consider a group of paraprofessionals aiding students in learner directed inquiry with the aid of technology that has been deisgned with branched learning opportunities and learning projects with just-in-time expert opinion input; or story based learning where k-8 learners follow a story with branched options and various learning opportunities. At a developmentally appropriate time multiple sources should be introduced so that students may critique the source of their information. The information and technology age means that students can learn gain in-depth understanding on topics they are interested in and learn languages other than Spanish and French.
A systemic and good implementation of efficient information technology can change America's learning system for the better. Some teacher's are afraid of 'robots' teaching our children. Thoughtful people have a valid response to that. The idea is not that robots teach our children. It is that we bring our learning system into the 21st century and implement tools that businesses have long ago used to drastically increase efficiency. The difference between education and business is that businesses have to deal with market forces or they die.
I am starting to think that "we the people" are the market force in education. Thus far "we" have been to segmented to have sufficient influence and the existing educational system pushes on despite being horribly old and broken. No new wine in old bottles, we need a new system that meets real and usable learning objectives like thinking skills, rather than the objective of "exposure".