The section of the lithosphere that slowly moves over the asthenosphere carrying pieces of continental and oceanic crust is called a tectonic plate.

Here's a breakdown:

* Lithosphere: The rigid, outermost layer of Earth, composed of the crust and the upper mantle.

* Asthenosphere: A semi-solid layer of the upper mantle that is ductile and allows the lithosphere to move over it.

* Tectonic plates: Large, irregularly shaped slabs of the lithosphere that move slowly over the asthenosphere.

These tectonic plates are constantly interacting with each other, leading to various geological phenomena like earthquakes, volcanic eruptions, and mountain formation.