Understanding or Contemplating (On)

to understand a concept

It took a few tries, but eventually, she caught on to the intricacies of the challenging puzzle.

to carefully think about something for a while

Sometimes, it's beneficial to just chew on a problem for a while.

to manage to understand something, typically following an initial period of challenge or difficulty

It took a while, but eventually, she cottoned on to the new software and started using it efficiently.

to become clear, evident, or understood, particularly after some time

As she listened to the lecture, the significance of the scientific breakthrough began to dawn on her.

to think or talk about something at length, often to the point of overthinking or obsessing about it

Despite the setback, she chose not to dwell on the negative aspects and instead focused on finding a solution.

to think carefully and deeply about something

He liked to reflect on his past achievements when he reached a milestone.

to postpone making a decision until the next day or a later time, often to think about it more

Rather than rushing into an agreement, they decided to sleep on the partnership offer and reconvene later.

to finally understand something, usually after some initial difficulty

It took him a while to latch onto the concept, but he eventually got it.

to intend to do something in the future based on certain considerations or expectations

I plan on traveling to Europe next summer.