Each "spot" on the game board is a player's city. Your pawn will always be on the city in the centre. You can see where other players move their pawns. (In this picture, another player's pawn is at the city of Eureka.)
Moving your pawn costs one turn — however, very short moves (shown on this map with the purple amethyst gem) cost only 1/4 of a turn. The position of your pawn determines which city you influence and what part of the game board you can see.
Your score comes from the culture level of your cities. Citizens are the foundation of building your country's culture. Attract citizens away from other cities by providing the best living conditions. The more citizens your city has, the higher its potential culture level — but the culture won't grow any faster. For that, you need trader families.
If you make your city attractive to trader families, the bustling economy will cause your city's culture to skyrocket.
If you spot an excellent trading opportunity, you can sponsor a trading family to take advantage of it — potentially helping your city's culture and thus your score.
You can view cities that you have visited in the past — in this example, the city of Edison was visited 11 years (11 turns) ago. Carefully plan the movement of your pawn across the game board to keep your information up to date.
In most game types, you start the game with a city already placed on the board. In other game types your pawn starts in the Old Country, allowing you to explore and then choose the placement of your first city.