Summary: government schools waste time teaching concepts that have little real application for most people, and do so inefficiently with cookie-cutter style collectivized memorizing for tests.
For the most part, government schools do little to nothing to teach actual life-skills, such as growing a garden, fixing machinery, balancing a checkbook or making a healthy meal, or organizing and leading groups, resolving conflicts nonviolently, and so on and so forth.
They certainly don't teach people logic, how to think for themselves .
Substance to back this summary up are in the videos and articles listed below.
Articles to read and additional resources:
School Sucks project
Fixing Our Local Schools
Seven Ways School Has Imprisoned Your Mind
How Schooling Leads to War
The Schools Are Becoming Prisons
How to Control Society: Education and “National Security”
The Horrors of Public Education
Anti-Authoritarian Personalities & Standard Schools
The Case Against Public School
How Stupid Are High School Students?
Why Public Schools Don’t Teach Critical Thinking — Part 1 (Huffington Post)
Are Our High School Students Dumb? Are Our High Schools Disastrous?
How America Outlawed Adolescence
America's Public Schools Are Prisons
Pavlovian classical conditioning in school
A warning to U.S. about ‘educational authoritarianism’ — from a Chinese scholar (Washington Post)
"Children Are Not Second Class Citizens": Can Parents Stop Public Schools from Treating Their Children Like Guinea Pigs?
The Danger of Back to School
Schools Are Good for Showing Off, Not for Learning
“Why Don’t Students Like School?” Well, Duhhhh…
Militarism (Narcissism-in-uniform) Stinks by whoever lives it!
Major problems with government/state schooling:
(The relevant part below starts at 50:51. The direct part about school ends at about 1:02:48.)
Law firms to contact for help: