wander

at will, freely

The children wandered freely through the museum, stopping at whichever exhibits interested them.

just, simply

We just wandered through the old market, looking at everything without any real plan.

far, further (afield)

The children wandered far from home and got lost in the forest.

about, across, along, around/round, away, back, in, off, out, over

She wandered around the market for hours, looking at all the different stalls.

be free to

The children were free to wander around the park while their parents watched from the bench.

allow sb/sth to, let sb/sth

We allowed the children to wander through the museum at their own pace.

across, all over, along, among, around, into, out of, round, through, towards

She wandered through the market, stopping to admire the colorful fruits and flowers.

find sb wandering

We discovered my grandfather wandering in the park without his phone yesterday.

begin to

After sitting in the boring meeting for two hours, my mind began to wander.

allow sth to, let sth

We allowed our thoughts to wander during the boring lecture yesterday.

from, to

Her eyes wandered from the book to the window as she heard the rain outside.