What could be a verb for teacher?

There isn't a single perfect verb for "teacher" as it depends on the context and the specific action you want to convey. Here are some options, with examples:

General:

* Educate: "The teacher educates students on history."

* Instruct: "The teacher instructs the class in math."

* Teach: This is the most common verb, but can be a bit generic. "The teacher teaches English."

* Mentor: "The teacher mentors her students in their career choices."

* Guide: "The teacher guides the students through their research projects."

* Train: "The teacher trains the students in public speaking."

Specific Actions:

* Explain: "The teacher explains the concept to the students."

* Demonstrate: "The teacher demonstrates the experiment to the class."

* Assess: "The teacher assesses the students' learning through quizzes."

* Motivate: "The teacher motivates the students to reach their full potential."

* Inspire: "The teacher inspires her students to pursue their passions."

Figurative:

* Shape: "The teacher shapes the minds of her students."

* Nurture: "The teacher nurturers her students' intellectual growth."

* Empower: "The teacher empowers her students to think critically."

The best verb will depend on the specific action the teacher is taking and the nuance you want to convey.