This is something he has already told me he expects me to do also when I begin teaching. There are many alternatives to giving boring quizzes. Ask the kids to write down two things they learned from the previous lesson and get them to keep these items in a journal. Some days you can give oral questions and some days give written questions. You can even get students to write possible quiz questions and use some of them on your quiz.
Students like to see their work appear on a test or quiz.