what is the difference between 以为 and 觉得

[我想 + statement] the statement is what I think is true

[我觉得 + statement] the statement is what I feel is true

[我以为 + statement] the statement is what I thought was true

[我認为 + statement] the statement is what I concluded to be true

[我相信 + statement] the statement is what I believe to be true

Examples:

我想他不会来了 = I think he won't come

我觉得他不会来了 = I think (feel) he won't come

我以为他不会来了 = I thought he wouldn't come

我認为他不会来了 = I think (concluded) he wouldn't come

我相信他不会来了 = I think (believe) he wouldn't come

i thought vs i feel

以为 thought (but proven wrong) e.g. 我以为他是女孩儿。I thought he was a girl.
觉得 feel e.g. 我觉得今天很热。I feel today is pretty hot.

不客气·

以为 thought (but proven wrong) e.g. 我以为他是女孩儿。I thought he was a girl.
觉得 feel e.g. 我觉得今天很热。I feel today is pretty hot.

以为 you thought wrong about somthing or someone
我以为她是日本人。（可是她原来是中国人不是日本人）
觉得 to feel or to think about something
你觉得哪儿不舒服？（可能肚子疼）
我觉得这部电影很有意思。
so ,
觉得=想=表达自己的想法
以为=用来表达和事实不符的想法

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