An expansion of suggestions provided to beginning graduate students who plan to function as teaching assistants is presented. Suggestions fall into the major categories of: advice from over 100 beginning teachers who just finished their first year of teaching; needed information at the beginning of the teaching term; shifting pre-lesson overviews and post-lesson reviews from the teacher to the students; obtaining feedback about teaching; and testing and grading. All of the suggestions involve providing, soliciting, and/or using information to help improve teaching while improving student learning. Students may learn more if they are asked to: review previous lessons; provide information about their attitudes toward or understanding of upcoming lessons; and summarize or expand upon the lessons just completed. Teachers may improve their instruction by asking students or others to provide a few, simple, possible suggestions for improvements. Although evaluations of students or teachers may be used to grade, evaluation should be used primarily to improve learning by students and their teachers. Three appendices are: a scale for evaluating essays and papers; examples of class description pages for two classes, a student information form, and a post-class recommendation/information form; and a summative ratings sheet. Contains 13 references. (SM)