What does "approaching" mean in this context?

[Veki]

Test No. incompl/inter-13 "At the Theatre", question 2

There are different ways of ......... Shakespeare's plays and each director makes an individual choice.

(a) meeting
(b) welcoming
(c) approaching
(d) showing

Test No. incompl/inter-13 "At the Theatre", answer 2

There are different ways of approaching Shakespeare's plays and each director makes an individual choice.

Correct answer: (c) approaching
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I don't understand why "showing" is wrong answer?
Can I use "expression" in this example?

Thank you:-)

[Alan]

This is the word needed here because it means interpreting, which is what a director does.
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English as a Second Language
You can read my ESL story Words, words, words...

[Clara]

In that sentence, "approach" can be the meaning of "deal with". Yes?
e.g: He at last found the best way of appoaching that problem.

Clara