The article links to an explanatory page in the very first paragraph after the lede.
Vector tiles serve up maps as vectors: points, lines and polygons. They store geographic data (like what makes up OpenStreetMap) in a format that allows for dynamic styling and interactivity. For users, vector tiles will mean a new, modern-looking map style with seamless zoom on openstreetmap.org, the map can be updated more quickly when data changes, and it should perform better for users.
The article links to an explanatory page in the very first paragraph after the lede.