Why We Should Discipline and not Punish

Would you believe me if I told you that out of 393 teens who have gone through the "Last Mile" Juvenile Detention program, there is a ZERO percent recidivism rate (compared to the nearly 50% rate among other teens)? The program aimed at disciplining minors for their mistakes, and not punishing them has prepared them to not make the same mistakes twice. What is the difference between discipline and punishment and how can we instill this in our children?