Teaching logic in schools

If ever you could say that I am on a crusade about anything, it is that I think we should begin teaching logic and reasoning skills in our primary and secondary schools. The current political climate should be all the proof that we need to show that this country's reasoning skills are truly deficient. Frankie's point in response to an earlier post that anything can be reasoned is well taken. However, there is a significant difference between reasoning and reasoning well. We could do no better by our children than to teach them how to reason well.
The age of seven is considered to be the age of reason for the average child. Why do we wait until they are in college to even offer classes in these subjects? Why do we hide one of the greatest gifts of humanity from our children until their bad habits are already formed? Look at what it has done to our political atmosphere!
One thing in particular that really stands out in my mind is to show children the rigors of modern scientific inquiry. Reveal to them the extensive problems with measurement. Show them how many times measurements must be repeated in order to provide reliable data. Show the correlation between measurement, the number of trials and the margin for error. Show them how many factors must be considered before we can obtain reliable data. Teach them about controls and the necessary replication of experimental environments.
We have to teach our children how to analyze statistics. Teach them how to interpret statistics. Show them how misleading statistics can be. Try to teach them how to draw valid conclusions from the given statements. Consider the boon to society if everyone knew how to draw sound conclusions from a set of statements. No more effective snake oil salesmen, no more cult leaders!
We can offer mathematical logic lessons to those who are so inclined and verbal reasoning lessons to those who are inclined in that respect. But we should train all of our children in both. In short, we should teach them that verifiable truth is not easily obtained.
How do we go about this? First things first. Never lie to your children. Answer all of their questions honestly. Admit it when you don't know something because you certainly don't know everything. Do not teach your opinions and beliefs as though they were facts. START TEACHING BY EXAMPLE!