How to express "good teaching skills"

How can I express that an explanation is clear, considering the intrinsic difficulty of the topic? I mean that the explanation might not be easy to understand, if the subject matter is intrinsically hard, but a superlatively adjectivy explanation is one that is as clear as it can get. Someone who frequently produces such explanations could be said to have good teaching skills. What's a good word to substitute for adjectivy?

_{The word that comes to my mind is the French word “pédagogique”, which a dictionary describes as meaning roughly “as coming from a good teacher”. Unfortunately the corresponding English word has negative connotations instead.}

Solution 1:

Lucid is an excellent candidate; perspicuous is a worthy synonym. Thus:

• ...but a superlatively lucid explanation is one that is as clear as it can get.
• ...but a superlatively perspicuous explanation is one that is as clear as it can get.

Solution 2:

Lucid and perspicuous, as proposed by Jimi, are good matches. If you want to convey the meaning of “convincing” in addition to “teaching”, you can also go with cogent.