We need to know a lot more in order to help you, as Dave says.
Specifically, some screenshots or other explanation for how it "looks different" would be helpful.
Second, what do you mean by look the same? If you have lights in the scene the text may have a different look. If you mean 3D text VS 2D text and there is a camera in the scene then the text may change position? This is a very odd problem and it's impossible to answer unless we know exactly what you are doing when this problem occurs and the properties of all of the layers involved in the problem.
I am pretty new to After Effects so I hope it's not my inexperience that's causing the problem. (It probably is)
I just updated to the most current version of AE.
I am on a mac pro late 2013 12GB 6 core. Running OSX 10.9.4
Okay so after looking at it a little closer, I think the color is what mostly changes. The first screenshot is the what the text look like with Classic 3D and the second screenshot is what it looks like after I change it to Ray traced 3D. Also under the "Mode" section..the pull down that says "Normal" disappears. I'm wondering why the font color is changing?
The "Normal" disappears because blending modes don't work in the ray-traced renderer. Luckily, you just had it set to normal and weren't trying to use Screen or Multiply or something else. It shouldn't be an issue for you.
The reason the text changes color is because the ray-traced renderer is rendering things very differently. You need to go into the material settings and adjust them for the ray-traced renderer. For example, is it reflective? If so, that'd make a big difference in how it looks depending on what you have it reflecting.
That being said, Adobe isn't putting any more work into the ray-traced renderer, so if I were you, I would focus my learning more on the new way to do 3d in AE (because it's only going to get better and better as they put more development time into it). What way is that? This way: details of CINEMA 4D integration with After Effects