maps.app on iOS "follow me" mode without a destination set

In stand-alone automotive GPS systems if you just have it on but *have not programmed in a specific destination* it will show your moving on an active scrolling street map of the road you are on and any roads that are currently within the default zoom area. So you get a display that shows your car stationary in the middle of the screen with the map moving around you. I found this extremely helpful when I am in locations that I am not real familiar with or just exploring to get the lay of the land. It's also good for finding shortcuts that you were not previously aware of. If I open Apple maps (or Waze or Google maps...) tap on the locator (Apple maps arrow at top right) to display my current location the map does not follow me. I eventually drive off the displayed map and would have to tap the arrow to re-center the map. Needless to say operating a phone while you are driving is both Not Really Safe and unlawful in many parts of the US. Is that something that Apple Maps does and I have not discovered how to activate it? Anybody know what that feature is *called?*