KanjiJLPT N4
Polish

polish, study of, sharpen

Mnemonic

A rough stone blocks a grand gate from opening. You must polish the stone until it gleams—grinding and scraping it against the gate's iron frame, refining its surface stroke by stroke. Only when the stone shines like a perfect mirror does the gate finally swing open, revealing treasures beyond.
Additional thoughts
Picture yourself physically grinding the rough stone against the gate's iron edge—sparks flying, grit wearing away, a brilliant shine slowly emerging. The effort of polishing mirrors the effort of diligent study and research.
Quick recall
A rough stone jammed in a gate must be polished mirror-smooth before it swings open.

Details

The keyword for 研 is polish. This kanji conveys the idea of grinding, polishing, or sharpening a surface to make it smooth and refined. By extension, it also carries the meaning of studying or researching something thoroughly, as in honing one's knowledge or skills to perfection. The concept ties together the physical act of polishing a stone and the intellectual act of refining one's understanding through diligent inquiry.
On'yomi
けん
Kun'yomi
と.ぐ