Thanks, Iza. But I know the usage. What I'm interested in is the "for" itself.
For example,The American Heritage Dictionariy says "for" is:
1a. Used to indicate the object, aim, or purpose of an action or activity: trained for the ministry; put the house up for sale; plans to run for senator. b. Used to indicate a destination: headed off for town. 2. Used to indicate the object of a desire, intention, or perception: had a nose for news; eager for success. 3a. Used to indicate the recipient or beneficiary of an action: prepared lunch for us. b. On behalf of: spoke for all the members. c. In favor of: Were they for or against the proposal? d. In place of: a substitute for eggs. 4a. Used to indicate equivalence or equality: paid ten dollars for a ticket; repeated the conversation word for word. b. Used to indicate correlation or correspondence: took two steps back for every step forward. 5a. Used to indicate amount, extent, or duration: a bill for five dollars; walked for miles; stood in line for an hour. b. Used to indicate a specific time: had an appointment for two o'clock. c. Used to indicate a number of attempts: shot three for four from the foul line. 6a. As being: take for granted; mistook me for the librarian. b. Used to indicate an actual or implied listing or choosing: For one thing, we can't afford it. 7. As a result of; because of: jumped for joy. 8. Used to indicate appropriateness or suitability: It will be for the judge to decide. 9. Notwithstanding; despite: For all the problems, it was a valuable experience. 10a. As regards; concerning: a stickler for neatness. b. Considering the nature or usual character of: was spry for his advanced age. c. In honor of: named for her grandmother.
Now, under which category do you think the "for" of "for the first time" falls?