If clicking on the compass icon isn't working and your map stays with North up top you'll have to go into the settings within Google maps.
Click the 3 lines at the top left to open the menu and then click settings at the bottom, scroll down to "navigation settings" and then underneath "map display" you will find a toggle option that reads "keep map north"
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Hope you got your prob solved..going through same prob.. any help..
Please read my above comment and let me know if this helped.
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When driving I usualy have my iPhone on with Google Maps open even if I am not using it to show directions to go from point A to point B. While driving the app shows a blue dot (my iPhone location) and as the car moves the dot moves but NOT in the direction the car is moving. If am heading south and making a right turn to head west, with the orientation pointing North, makes it look like am turning left. BTW, pressing the small arrow on the botton left of the screen does not change the orientation of the map.
If nobody's answers have solved your problem in this thread I believe that mine might work.