in a way that produces or results in a large amount of something

Their working system is based on the belief that people work more productively in a team. 他们的工作系统是基于人们在团队中工作效率更高这一理念。

in a way that has good or useful results

Keeping children productively occupied during the summer holidays can be a challenge. 让孩子在暑假期间多做有意义的事情往往是一项挑战。

in a way that relates to the ability to produce language, rather than just understand it

He may be familiar with the word, although he has never used it productively. 他可能对这个词很熟悉，尽管他从未以产出性的方式使用过这个词。