What is the difference between the saying, "Bearing in mine" and
"Bearing in Mind". If no difference where did they originate from?

I can't recall ever having seen "bearing in mine." I would assume that
it is a misunderstanding of "bearing in mind." Corruptions of popular
phrases are not uncommon. Sometimes they even overtake the original
usage. Look at the phrase "to hone in on," which began as a
misunderstanding of "to home in on." These days the erroneous version
seems to be used more often than the correct one.

I would have thought this was the case too, only a google search
revealed both sayings. My University instructor used the saying, "Bear
in mine". Giving our educators the benefit of the doubt I decided to
investigate this issue.

I'd say the "mine" is simply an error and shows how languages
evolve....even by errors!

Google search for "bearing in mine": 507 results

Google search for "bearing in mind": 1,230,000 results

I find this to be good evidence, in conjunction with our knowledge of
English langugage, that "bearing in mine" is a mistake.  (You'll find
similar results for "bear in mine" and "bear in mind.")

It's wise to keep in mind (or in "mine") that the appearance of
something on the Internet does not necessarily legitimize it. There
are misspellings and other errors all over the 'Net. This is
particularly true on messageboards, newsgroups, and other
mass-participation sites. It's even true here on GA.

If one were to take the Internet as a usage guide, one might think
that the word "please" can correctly be spelled "plz," and the word
"the" can be spelled "teh."

I agree with pink. Look at the keyboard placement of the letter "E"
and "D" --I bet there have been 507 typo's, and 1,230,000 correctly
typed results.

I have never heard the phrase "bear in mine."

I can appreciate the approach to answering the question that both
pinkfreud and cynthia took. Both of these comments used critical
thinking skills to determine possible solutions. Before I send a
gentle correction to my university professor I wanted to explore the
origins of this saying. I believe the saying is "Bearing in mind" but
I cannot prove it apart from reasonable inductive conclusions.