I was having the same problem and (finally) found a solution. My issue was that I had two email accounts connect to the same Trailhead account, so I removed the one I was not using and re-connected the Trailhead account to the Partner Account. Now, my badges are showing under the Education tab.
If you want to see your trail head badges in the partner community then follow the below navigation.
Login to partner communtiy==>below your profile name there are three links==>About me==>Forum Activity==>Trail Head.
Click on the Trail Head link and then you will be able to see the badges completed.
As i can see there are 11 trail head badges completed in your account.
Please find the screen shot below of your trail head badges.
Please mark my solution as best answer if it helps you.
Best Regards,
Nagendra.P
I was having the same problem and (finally) found a solution. My issue was that I had two email accounts connect to the same Trailhead account, so I removed the one I was not using and re-connected the Trailhead account to the Partner Account. Now, my badges are showing under the Education tab.
Hope it helps!
Miguel