First, you can read their study(ies) in lateral reading and fact checking techniques — and how necessary they are for our current classrooms:
https://searchworks.stanford.edu/view/dd707pp9195
https://stacks.stanford.edu/file/druid:dd707pp9195/COR%20Across%20the%20Curriculum.pdf
Then, you can engage with their lesson plans — most of which are freely available for download. My favorite of their lessons/techniques is Lateral Reading:
https://docs.google.com/document/d/1SoaoAZu7zbO5HNavd2BopNGlWaDnjB-hNcTYZzFTpmc/edit
https://cor.stanford.edu/curriculum/lessons/lateral-vs-vertical-reading
Here is an intro, and then a few more lessons:
https://cor.stanford.edu/blog/locating-examples
https://cor.stanford.edu/curriculum/lessons/domain-names/
yes, most students can’t discern between advertisements and regular content:
https://cor.stanford.edu/curriculum/lessons/sponsored-content/