▲over在这里不是“反复”之意， 而是“在那边，在近旁”，表明人或事物之间有段距离，不那么直接。

You can use over to indicate a particular position or place a short distance away from someone or something.

例如：

John reached over and took Joanna's hand. 约翰伸手握住乔安娜的手。

He noticed Rolfe standing silently over by the window. 他注意到罗尔夫一声不吭地站在窗户旁边。

She sat over there reading. 她坐在那儿读书。

▲look over at的例句：

I looked over at them. They were sleeping. 我朝他们看过去，他们正在睡觉。

Pretty soon she looked over at the stairs. 过了一小会，她向楼梯望去。

"What time is it?" He looked over at the clock. “现在什么时候了?”他看了看表。

▲关于I stopped the car and looked over at my mum.这句话，从语境看，也表达了上述含义：“我停下车，望着妈妈。”说明车辆离我妈妈有段距离，同时还说明看得不是很直接，有可能含着透过车窗的含义。