Improving upon the quality of teaching by teaching staff at all educational institutions is oil very significant objective. Eva luation of teaching performed by individuals at such institutions would be instrumental in assessing the quality of such teaching and a tool towards its improvement. In this article, one scheme for teaching evaluation by students and another by peers are proposed and discussed. Assessment by students may provide contrasting results to those obtained from peers. For a "just and fair'" overalJ assessment of one's teaching., it is recommended that students' evaluation would be combined with those of peers. Results of such an evaluation of teaching should be perceived as being valuable in providing feedback to the teacher and can be utilized for many purposes by academicians and administrators. KEYlVORDS: Academia, classroom teaching., evaluation by peers, evaluation by students, proposed schemes.