encourage (someone) to think outside the box

Translations
вдохновлять (кого-то) мыслить нестандартно
The teacher encouraged students to think outside the box for their science projects.
Учитель вдохновил учеников мыслить нестандартно для их научных проектов.
Definitions
To motivate or inspire someone to approach problems or situations in a creative, unconventional, or innovative way, rather than relying on traditional or expected methods.