noun / verb / adjective
advance
uhd-VANS/ʌdvˈæns/
Movement forward from a current position.
The woman advances along the path, leaving footprints behind her.

Etymology
Avancier expressed moving or setting something forward. English applies that forward motion both to physical movement and to furthering development, so making progress is advancing in a figurative sense.
In context
we have fought in World Wars in order to advance the cause of freedom and democracy
More examples
- Researchers celebrate an important advance in battery design.
- Advance reservations are required for the evening tour.
- The publisher pays her an advance before the book appears.
Forms
advance · advances · advanced · advancing
advancement noun — Progress toward a higher or more developed state.