What do I do if I don't remember the number of time's I've claimed an education credit?

Were you claimed as a dependent for any of the years you were in school?  Ask your parents---if they used the credit, the number of times they used it "counts" toward the 4 time limit.   If they do not remember, then look at some of your  (or parents) past tax returns to see if you used it.   

You can get a free transcript from the IRS:   

https://www.irs.gov/individuals/get-transcript

  You have to access your own account and/or  print it for yourself using exactly the same account and user ID that you used when you prepared the return.

https://ttlc.intuit.com/community/prior-year-return/help/how-do-i-access-my-prior-year-return/01/27010

Many people have multiple TT accounts and forget how to access them.  Log out of the account you are in now.

Account recovery

https://myturbotax.intuit.com/account-recovery/

https://ttlc.intuit.com/questions/1901535-forgot-your-turbotax-online-user-id-or-password

Or did you use the desktop version of TurboTax?  If so, the files are on your own hard drive or any backup device you used like a flash drive.

https://ttlc.intuit.com/questions/1901486-how-many-turbotax-accounts-do-i-have

https://ttlc.intuit.com/questions/1901535

https://ttlc.intuit.com/questions/1901659-find-your-tax-data-file-in-mac

https://ttlc.intuit.com/questions/1900721-find-your-tax-data-file-tax-file-in-windows

To get a copy of your previously filed returns prepared with online TurboTax https://ttlc.intuit.com/questions/1900748-how-do-i-get-a-copy-of-a-return-i-filed-in-turbotax-online

https://ttlc.intuit.com/questions/1900748-how-do-i-get-a-copy-of-a-return-i-filed-this-year-in-turbotax-online

SAVE YOUR TAX RETURN !

EVERY year before mid-October you should save a copy of your tax return as a pdf and print a copy of it for your records.  That way you will not be searching online frantically when you need it for a lender, FAFSA forms, your next tax return, etc. 

https://ttlc.intuit.com/questions/1900937-why-should-i-save-a-pdf-copy-of-my-return

https://ttlc.intuit.com/questions/1899779-what-s-the-difference-between-the-tax-data-file-and-the-pdf-file

https://ttlc.intuit.com/questions/1912466-how-do-i-save-my-return-as-a-pdf-in-the-turbotax-software-for-windows •

https://ttlc.intuit.com/questions/1912533-how-do-i-save-my-return-as-a-pdf-in-the-turbotax-software-for-mac•