Consider the following assertion.
"Skill involves interpreting the needs of the situation and making the right decisions as well as carrying out the necessary movements. In games, decision-making is a vital part of skill." (Knapp, 1963 referenced by Ovens, Smith)
Or the following idea, by Ovens and Smith, that skill is a combination of...
1. Technical competence
2. Performance outcome
3. Perceptiveness of environment
4. Appropriateness of tactics and strategy
5. Adaptability and/or creativity
Are you skillful now?
A bit more daunting to answer.
You know this.
You understand that you do not act in utter isolation. You are a complex creature in a complex environment. You negotiate your way through the challenges of your personal and professional life on a daily basis.
So do your students, your athletes, and our children.
Perhaps the way you define skill will be the way your athletes define themselves.