Final answer:
The statement is true; the neuroepithelium in the neural tube differentiates into neurons and glial cells as part of the embryonic development of the nervous system.
Step-by-step explanation:
The statement The neuroepithelium of the new neural tube gives rise to neurons and glial cells is true. During the development of the embryo, the neuroepithelium that originates from the ectoderm differentiates to form the neural plate. This proceeds to buckle and fold inward, eventually forming the neural tube.
As the embryonic development progresses, cells from the wall of the neural tube proliferate and differentiate into neurons and glial cells, constituents of the central and peripheral nervous systems. Sensory functions are associated with the dorsal tissues, while motor functions are related to ventral tissues of the spinal cord.
Additionally, the nervous system develops from the same germ layer as the skin cells do, which is the ectoderm. This is evidenced by the fact that growth factors signal some of the ectodermal cells to create epidermal cells while others form the neural plate leading to the nervous system.