When writing kanji, pay attention to dots and strokes, and try to write quickly but neatly.
Literal
Kanji [object-を] write time [topic-は] dots [and-や] sweeping-strokes [to-に] be-careful-[sequential-て], as-much-as-possible quickly neatly let's-write.
A classroom instruction about kanji handwriting. 点 ('dots') and はらい ('sweeping strokes') are specific stroke types in Japanese calligraphy. なるべく早く + ていねいに pairs two seemingly contradictory goals ('quickly' and 'neatly'), reflecting the practical reality of timed writing exercises in Japanese schools. ~ましょう frames it as a gentle collective suggestion from a teacher.