Could you point out my mistakes in these two paragraphs?*

For students, vacation is a vital chance to improve personal skills abilities. However, opinions differ on how to take advantage of the such valuable time. Some people contend suggest that students should could broaden their horizons by taking a course on the a subject that has no direct connection to their majors. which can broaden horizons. It This may seem reasonable at first glance; however, if taking a upon closer look inspection, one will see that volunteer works should be given more emphasis.**

In conclusion, allowing to the fact presuming that doing volunteer work can cultivate communication skills and make a better improve students' resumes (which aids us in future career endeavors), it is better for students them to spend their vacation doing volunteer works rather than instead of taking another course subject with no relationship to outside of their majors in vacations.

*Your English is very clear! The changes I made are only polishes.

**Please be careful to avoid dangling gerunds / misplaced modifiers. Native speakers make this mistake all the time, so few people will notice. But it is not correct English. Good job otherwise!

Learning to swim:

Today I went to the club with my daughter for to practice swimming. She is learning to swim, and I think that it's very important because swimming is very dangerous and this is puts your life in at risk. She has is 8 years old and has a lot of energy a lot for spend to burn. She often to swims twice a school 2 times per week at school, to for practice and learn more.

this is it. thanks for correction.

PLEASE NOTE:  There are many ways to express these ideas, but I made changes based on common practices. There are multiple ways to say this though. :)

Hi Dan! "Quite" is an expressive word, used to describe varying degrees of something. In some sentences, it means "very." i.e. "I'm quite cold." In other sentences, it means "absolutely/entirely." i.e. "I couldn't quite do stuff." Another degree described by "quite" is "fairly/moderately/somewhat". But this might be more common in the UK; I'm not sure. In the US, we almost exclusively use "quite" to mean "very" or "entirely". To answer your question specifically... in your sentence, "quite" means "entirely". Try replacing the word to see: "I couldn't entirely do stuff." We use this phrase to say that we could almost do something, but not entirely. For example, if I were attempting to do a chin up, I might get halfway. Then I would tell people, "I couldn't quite do it."

Both are grammatically correct, but it is more common/natural to say "living is nice". And indeed it is nice! :)

What an interesting sentence! Native speakers will make the (correct) assumption that the knight owns the sword. But technically, the sentence does leave open the possibility that the warrior owns the sword. In this example, it is only context which tells native speakers who owns the sword. Because it is a tool for killing, it makes the most sense for the knight to be using it. But if you use the exact same sentence structure with different context, then ownership can change. For example: "The knight kissed the woman with a blue purse." In this sentence, the context tells us that the woman owns the purse, because it is not a tool used for kissing. Here are some ways to make sure that this sentence defines ownership: 1) The knight used a sword to kill the warrior. 2) The knight killed the warrior, using a sword. 3) Using a sword, the knight killed the warrior. 4) The warrior was killed by the knight with a sword. (not recommended, as this is passive language)