看 (kàn) and 见 (jian) both mean to see or to look.
看见 (kànjian) is to catch sight of someone or something. You could also say 看到 (kàndào catch sight of), as in:
Wǒ kàndào yī zhī lǎoyīng.
I saw a hawk.
偷看 (tōukàn) is to view surreptitiously.
Tā tōukàn le wǒde rìjì.
He has peeped in my diary.
Certain things look good or interesting, such as pretty girls, beautiful scenery or good movies. You would describe them as 好看 (hǎokàn). Unsightly, ugly or embarrassing things are said to be 难看 (nánkàn).
How pleasing or repulsive something is, you could best make your own judgement by seeing it for yourself.
Seeing it once for yourself beats hearing it a hundred times from others.
(Seeing is believing. A picture is worth a thousand words.)
看不惯 (kànbuguàn) means to frown upon. Here, 惯 (guàn) is the abbreviation for 习惯 (xíguàn habit, being used to).
Tā kànbuguàn tāde lǎnduò.
He frowns upon her laziness.
看不起 (kànbuqǐ) is to look down upon or be scornful of someone or something. On the other hand, 小看 (xiǎokàn) is to underestimate someone or someone’s achievements.
It’s been observed that dogs tend to fawn on well-dressed gents and growl at people in shabby clothes. Here’s a saying that you could precede with 哼! (Hng! Humph!):
What a snob – like a dog!
(Who does he think he is!)
看中 (kànzhòng) or 看上 (kànshang) means to take a fancy or to settle on someone, like a pretty girl, or something, like a new house.
看作 (kànzuò) or 看成 (kànchéng) means “to regard as”. When you regard something as not what it is, then this action word means “to mistake for”.
Tā bǎ yǒng kànchéng bīng.
He thought the Chinese character for swimming was that for ice.
When you discern someone’s true feelings or ulterior motive, you could use anyone of these words to indicate that you’ve seen through the veil:
看法 (kànfa) is a point of view. This word is used as a noun.
Nǐ de kànfa zěnmeyàng?
What’s your opinion?
Alternatively, you could say:
Nǐ kàn zěnmeyàng?
What do you think?
Nǐ kàn zěnme bàn?
In your opinion, what should we do?
In the above sentences, 看 (kàn) takes on the meaning of “to think” or “to consider”.
看望 (kànwang) is to visit someone.
看病 (kànbìng) means to see a doctor. This same verb is also used when talking about a doctor seeing his patients.
盼望 (pànwàng) is hope for or to look forward to. 望眼欲穿 (wàngyǎnyùchuān) means to fix your eyes looking forward to something intently. In other words, you are peeling your eyes waiting for a letter, a loved one’s safe return, etc.