Hmm, maybe I take a lot for granted. Aren’t those roots pretty common knowledge among folks with a strong command of English?
If I were going to be more systematic about it, without knowing anything about how courses in such subjects as etymology and morphology are taught, I’d probably ask two or three classical languages majors and professors of my acquaintance each to give me a list of their 100 favorite Greek and Latin words to know as progenitors of English words.
Then I’d dream up half a dozen or more kinds of activities, including games, rhymes, and memory exercises, for unmasking those roots when they appear in partial disguise in common English vocabulary; for example,
vision
envision
visible
invisible
television
revise
visit
Those all come from the third principal part of video, videre, visi, visum, “to see.” (And there’s a whole other list of related words with the vid root.)
Knowing some roots and seeing the relations among words with common roots are skills that not only do you worlds of good in reading (a root plus context clues can go a long way toward decoding unfamiliar words, especially if you also have a grasp of prefixes and suffixes) but are a tremendous advantage when it comes to standardized tests, where, as we know, being able to eliminate choices greatly increases your chances of scoring a correct answer.
I am drawing here on nothing but two years of Latin taken more than 40 years ago, together with a firm habit over the years always to look at the derivation of a word I look up in the dictionary. Over time I have accumulated a great deal of familiarity with roots and derivations just by being aware of them, with no formal study of linguistics. Just a little systematic study of Latin can be a huge foundation to future study of language.
For even more fun, use a resource such as the American Heritage dictionary, look up the roots in the back (in this case, wied), and find the connections between the vid/vis root and words such as wisdom.
One of the most entertaining exercises might be an exploration of all the words related to “two” (twist, twine, double, duplicity, devil…). Understanding both the obvious and the subtle connections among them gives amazing insights into their true meanings.