Yes, it’s called religion class in parochial schools, where you aren’t allowed to question.Some times it is.
Please give an example of indoctrination in public schools.
“The main differences between the teaching and indoctrination are: teaching is open to questions, students can always ask questions regarding the subject they are taught whereas indoctrination is like giving instructions, one needs to listen it and is supposed to follow it.”
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Difference between Teaching and Indoctrination