The benefits and advantages of investigative active learning are well documented throughout cognition and educational psychology research literature. But, these techniques are not extensively used in higher education and particularly engineering education. In this paper, a model is presented for applying computer based instruction (CBI) techniques to investigative active learning as practiced in a typical undergraduate heat transfer course. This model is demonstrated with the heat transfer through a composite structural wall problem. An investigative approach is used to coach students as they learn the general solution process. Several different active learning techniques are then applied as a student progresses through each step of the general solution process. These techniques are applicable to any heat transfer problem and when properly implemented, they should improve the learning of the general solution process. The demonstration example is best experienced with a computer. Individuals wishing to explore this model may do so at http://18.104.22.168/myweb.