Orientation of Various Learning Activities
Let us consider tradition learning activities according to the model shown in figure 1.1
When a teacher introduces a new concept to a class, it is common to begin with introductory problems to help student see a need for a need for the new concept. It is also common to construct the new concept on the students’ previous learning and to lead them toward a new theory. If the introductory problems are real-world problems and if teaching starts with translating conditions or hypotheses into mathematical language, the lesson proceeds along the course from (f) to (g) and so on. However, it usually begins from stage (g), in which the translation has been done by someone else (i.e., the teacher or the author of a textbook).
Afterward, it proceeds along the course from (g) to (i) to (j) and then to (n) and omits (l). This means that the model used in (g) is actually a quasi model. Next, the usual teaching may proceed to (o), and a set of formal exercises is assigned for assimilation. The activities in the exercises are usually a kind of symbol game.