From my observations, there appear to be three principal avenues to engender critical thinking in education K-12: debate; mathematics, and science.
For some students, all three avenues are relatable and enjoyable. For others, only one or two avenues would work.
In any case, even one avenue can go a long way towards engendering critical thinking.
The ability and habit of thinking critically is an important remedy for the affliction of people accepting fake news and conspiracy theories. It can become the foundation for a well-functioning democracy.
I invite others to describe what has been done along these lines; or what they think should be done and how to install such educational paradigms.