jwfacts,
Your mother stating that the same methodology is used doesn't make her statement true. She likely believes it, as does my mother.
However, "times" are not "weeks" and Strong's says the following of the Hebrew word used for "weeks" (H7620): "Properly passive participle of H7650 as a denominative of H7651; literally sevened, that is, a week (specifically of years): - seven, week."
On the other hand, of "times" (H5732) it says: "Meaning: 1) time 1a) time (of duration) 1b) year; Origin: from a root corresponding to that of 05708; TWOT - 2900; n m; Usage: AV - time 13; 13."
There is nothing to similarly indicate an application of "years of years" or "day for a year" in the text itself at Daniel 4, the application of that methid is derived from a Scripture in Ezekiel and a Scripture in Numbers. And there is no application of "prophetic years" of 360 days to Daniel 9.
Unless your mother is using some connotation of the word "methodology" that I am completely unfamiliar with, she can say it is the same methodology all she likes but can never demonstrate it. Apparently she and others (my mother included) are confused into thinking that the same methodology is applied by similar sounding words.
Below, I am appending all of the other occurences of H5732 in the OT. They are all from Daniel. I have bolded them and highlighted them for your convenience. I wonder if in your estimation these usages convey the idea of "years of years?"
AuldSoul
Dan 2:8 The king answered and said , I know of certainty that ye would gain the time, because ye see the thing is gone from me.
Dan 2:9 But if ye will not make known unto me the dream, [there is but] one decree for you: for ye have prepared lying and corrupt words to speak before me, till the time be changed : therefore tell me the dream, and I shall know that ye can shew me the interpretation thereof.
Dan 2:21 And he changeth the times and the seasons: he removeth kings, and setteth up kings: he giveth wisdom unto the wise, and knowledge to them that know understanding:
Dan 3:5 [That] at what time ye hear the sound of the cornet, flute, harp, sackbut, psaltery, dulcimer, and all kinds of musick, ye fall down and worship the golden image that Nebuchadnezzar the king hath set up :
Dan 3:15 Now if ye be ready that at what time ye hear the sound of the cornet, flute, harp, sackbut, psaltery, and dulcimer, and all kinds of musick, ye fall down and worship the image which I have made ; [well]: but if ye worship not, ye shall be cast the same hour into the midst of a burning fiery furnace; and who [is] that God that shall deliver you out of my hands?
Dan 4:16 Let his heart be changed from man's, and let a beast's heart be given unto him; and let seven times pass over him.
Dan 4:23 And whereas the king saw a watcher and an holy one coming down from heaven, and saying , Hew the tree down, and destroy it; yet leave the stump of the roots thereof in the earth, even with a band of iron and brass, in the tender grass of the field; and let it be wet with the dew of heaven, and [let] his portion [be] with the beasts of the field, till seven times pass over him;
Dan 4:25 That they shall drive thee from men, and thy dwelling shall be with the beasts of the field, and they shall make thee to eat grass as oxen, and they shall wet thee with the dew of heaven, and seven times shall pass over thee, till thou know that the most High ruleth in the kingdom of men, and giveth it to whomsoever he will .
Dan 4:32 And they shall drive thee from men, and thy dwelling [shall be] with the beasts of the field: they shall make thee to eat grass as oxen, and seven times shall pass over thee, until thou know that the most High ruleth in the kingdom of men, and giveth it to whomsoever he will .
Dan 7:12 As concerning the rest of the beasts, they had their dominion taken away : yet their lives were prolonged for a season and time.
Dan 7:25 And he shall speak [great] words against the most High, and shall wear out the saints of the most High, and think to change times and laws: and they shall be given into his hand until a time and times and the dividing of time.