Ruh roh, Aniam; look what this site gives as examples:
Quotation Marks

Also known as: Inverted Commas or Speech marks
The use of Quotation Marks are to show:

A quotation
i.e.: He said: "We will close early on Friday."

Announcement
i.e.: Notices stating "Silence" are often found in libraries

Titles
i.e.: This page of the web site is known as "Skills Development"

Direct Speech
i.e.: The speaker said, "The comma is used to introduce direct speech."

http://www.crazycolour.com/os/punctuation.shtml

And, from Purdue University:
Put commas and periods within closing quotation marks, except when a parenthetical reference follows the quotation.

He said, "I may forget your name, but I never remember a face."

History is stained with blood spilled in the name of "civilization."

Mullen, criticizing the apparent inaction, writes, "Donahue's policy was to do nothing" (27).

http://owl.english.purdue.edu/handouts/grammar/g_quote.html

Well, I guess that settles it for me. My memory was so vague on what was correct, that I fear I have vacillated between that and what makes sense, which is your version: The period ends the sentence, not the phrase. I believe it was Faldage who tried to straighten me out on that a long time ago, and I persisted in trying to kick over the traces.

Judging by the ".edu" in the address, I'm guessing this is a teacher or professor who agrees with Wordwind :The rules of punctuation are not static; they have changed throughout the years and will continue to change. What once might have been considered improper punctuation may now be considered correct. The rules of punctuation are created and maintained by writers to help make their prose more effective, and their exact meaning changes over time...
http://www.stpt.usf.edu/pms/intro.html

Howsomever, I reckon the period-inside-the-quotation-marks one hasn't, yet. Sigh...   Maybe we could start a campaign!