Office hours and before or after class are good opportunities for informal chats with students about how the class is going. Sharing this information with the instructor is almost sure to be appreciated. Be inclusive of everyone in the class. Emphasize the importance of considering different approaches and viewpoints. Start with easier to answer questions, then move to more complicated or thoughtful ones.
Different people feel comfortable speaking in different contexts.
Draw them in. Don't let a few students monopolize discussion. When improper conduct disrupts the class or threatens the safety of others, there are approved courses of action sanctioned. If questions get out of hand, invite the student to your office hours to discuss them. Include the instructor in any teaching decisions you make regarding your sections.