につれて

The structure X + につれて can be used to express something that takes places as X occurs. X is usually a verb, or a verbal noun (like a する verb).

暖かくなるにつれて、雪が溶け、木が緑になっていく。
As it gets to be warm, the snow will melt, and the trees will become green.

リーさんが練るにつれて、体がもっと強くなるんだな。
As Lee-san works out, his body becomes stronger.

日本語が上手になるにつれて、日本人と話すのが恥ずかしくなくなってきた。
As you get to be good at Japanese, you won't be embarrassed to talk to Japanese people.

日本の歴史を習うにつれて、もっと不思議になるんだよね。
As I learn about Japanese history, it becomes more curious to me.