Richard Paul and Curiosity In Critical thinking :

To flourish, curiosity must evolve into disciplined inquiry and reflection. Left to itself it will soar like a kite without a tail, that is, right into the ground! Intellectual curiosity is an important trait of mind, but it requires a family of other traits to fulfill it. It requires intellectual humility, intellectual courage, intellectual integrity, intellectual perseverance, and faith in reason. After all, intellectual curiosity is not a thing in itself — valuable in itself and for itself. It is valuable because it can lead to knowledge, understanding, and insight; because it can help broaden, deepen, sharpen our minds, making us better, more humane, more richly endowed persons.

To reach these ends, the mind must be more than curious, it must be willing to work, willing to suffer through confusion and frustration, willing to face limitations and overcome obstacles, open to the views of others, and willing to entertain ideas that many people find threatening. That is, there is no point in our trying to model and encourage curiosity, if we are not willing to foster an environment in which the minds of our students can learn the value and pain of hard intellectual work. We do our students a disservice if we imply that all we need is unbridled curiosity, that with it alone knowledge comes to us with blissful ease in an atmosphere of fun, fun, fun.

What good is curiosity if we don't know what to do next or how to satisfy it? We can create the environment necessary to the discipline, power, joy, and work of critical thinking only by modeling it before and with our students. They must see our minds at work. Our minds must stimulate theirs with questions and yet further question; questions that probe information and experience; questions that call for reasons and evidence; questions that lead students to examine interpretations and conclusions, pursuing their basis in fact and experience; questions that help students to discover their assumptions, questions that stimulate students to follow out the implications of their thought, to test their ideas, to take their ideas apart, to challenge their ideas, to take their ideas seriously. It is in the totality of this intellectually rigorous atmosphere that natural curiosity thrives.