Part 3; Please read parts 1 and 2 first.

The universities do not earn anything by from this appearance.

1/ "Someone" means one specific person out of a group. "Some people" means one or more people in general. 2/ "What are" is a question. "What are the subjects that we will discuss tonight?"  as opposed to "Those are the subjects which are being discussed". 3/ The word "treaten" doesn't exist; you probably intended "treated", but you probably wouldn't use it that way. It's more commonly used to indicate something in a book or lecture. "The subjects of momentum and energy are treated in chapter 8", although it's not a very common mode of expression these days. 4/ Be careful with the word "argument". A subject for discussion can be an argument, but usually in the sense of describing a particular point of view. (For example, "I would make the argument that low interest rates have caused companies to borrow too much.") However it is NOT the same as "argomento", which translates more accurately as "subject".

In this way the public does not benefit from the knowledge of professors.

The language is OK, but the statement itself is a non sequitur. (It doesn't matter what the TV companies' interests in having professors on TV; the question of whether the public benefits from the appearances is a completely separate issue.)

You have a good grasp of the core concepts of English; you just have to do some work on the details. It will come with practice. Good luck!

Part 2, please read part 1 first.

In contrast, the lecturer explains the disadvantages for him. Because it is not seen as a serious professionist the one who appear in tv, Because the one who appears on TV is not seen as a serious professional, the professor could loose lose other professors' respect and maybe he or she could lose founds funds for his or her  researches research.

3/ The word "professionist" doesn't exist. 4/ You appear on TV rather than in it, though you can appear in a TV program. For example, "Brian Cox appeared in Wonders of the Universe, which was shown on TV". 4/ "Lose" (with one o) is perdere, a verb. "Loose" (with a double o) is allenato, an adjective. 5/ Whose respect is lost? The respect of other professors. You therefore need to use the possessive form. This is done by using an apostrophe and an s. The position of the apostrophe tells you whether it is singular or plural, so:

"I have lost the professor's respect." The 's form means that you lost the respect of one, specific professor.

"I have lost the professors' respect." The s' form means that you lost the respect of all of the professors.

6/ "Researches" is not a countable word; you can't say "two researches" or "three researches". It is just "research" in general.

Second, the author describes the benefits aquired acquired by the university when a professor appear on tv TV. On the other hand, the speaker says that professors who go in on television do not have much tume time to dedicate on to their real work such as doing reaserch research and meeting with other students.

1/ I'd recommend running your work through a spell checker; it will pick up a lot of these errors. 2/ You dedicate resources to something, rather than on something. However you can spend time on something, which may be where you got that from. 3/ The professor isn't a student any more, so he or she is not meeting with other students, but rather just with students. I'm out of space again...

toefl test writing section 1, Can someone check it? thanks

1/ "The speaker" is singular. You therefore need the singular form rather than the plural. HE opposes, THEY oppose. 2/ The first sentence isn't wrong, but it does sound a bit awkward. I would say "... opposes all of the reasons given by the author..." 3/ You are talking about professors in general, so you would have to use either "professors" (in the plural form), or say "a professor". (That is, a single, hypothetical professor.) 4/ TV is always capitalised. 5/ "bring benefit" is not completely wrong, but again you are talking about benefits in general, not a clearly defined "benefit". I would therefore use the plural form here. 6/ "Someone" can be used in the generic sense, but it usually means "some person out of a group of people". "Anyone" means "anyone at all".

First,the author thinks that the professor could benefit by gaining reputation in their accademic academic field and by reching reaching more people than just their students.

It's one author, so you use the singular form. "She thinks", "They think"

In contrast, the lecturer explains the disadvantages for him. Because it is not seen as a serious professionist the one who appear in tv, Because the one who appears on TV is not seen as a serious professional, the professor could loose lose other professors' respect and maybe he or she could lose founds funds for his or her  researches research.

OK, there's a bit of work needed here. 1/ "It" is a pronoun, but you would not use it to refer to a person. You would say "He is not seen" or "She is not seen" or "They are not seen" but not "It is not seen". 2/Pronouns like he, she, they, it etc are intended to replace nouns to make the sentence shorter and more concise. However in this case you've immediately gone on to describe who you're talking about anyway. (That is, "the one who appears on TV"; remember that this is singular, so again it's appears, not appear.) That makes the use of the first clause meaningless. It therefore needs to be cut out. I'm out of space; I'll continue this in another correction.