When we think about things in some way, the perspective with which we look at them for the first time remains in our mind.

【翻译】当我们用某种方式思考事情的时候，我们初次看待它们的那种观点仍然留在我们的脑海中。

【分析】你的判断正确。原句应该有误：应把what 改为which，此外，remain用单数。

perspective：视角；观点。跟with连用，表示“用......观点”。 with which we look at them for the first time，为定语从句，which 指代perspective。