Teaching is the heart of education. It involves the use of myriad of teaching methods, strategies and techniques. This paper critiques some of the instructional strategies used in higher institutions in Nigeria. Two of these instructional strategies (team teaching and questioning strategy) were identified. The "what", "how", "when" and "why" of these strategies and the report of observations of lecturers at work in University of Ibadan were examined. More importantly, the paper recommends that lecturers in faculties other than faculty of education should be exposed to workshop on teaching methodology and effective use of instructional strategies, adequate wait-time should be given while asking question, adoption of team teaching in various departments/faculties, among others.