Later on a chapter is devoted to the special consideration of the meaning of the subject matter of instruction. At this point, we need only to say that, in contrast with the traditional theory, anything which intelligence studies represents things in the part which they play in the carrying forward of active lines of interest. Just as one "studies" his typewriter as part of the operation of putting it to use to effect results, so with any fact or truth. It becomes an object of study--that is, of inquiry and reflection--when it figures as a factor to be reckoned with in the completion of a course of events in which one is engaged and by whose outcome one is affected. Numbers are not objects of study just because they are numbers already constituting a branch of learning called mathematics, but because they represent qualities and relations of the world in which our action goes on, because they are factors upon which the accomplishment of our purposes depends. Stated thus broadly, the formula may appear abstract. Translated into details, it means that the act of learning or studying is artificial and ineffective in the degree in which pupils are merely presented with a lesson to be learned. Study is effectual in the degree in which the pupil realizes the place of the numerical truth he is dealing with in carrying to fruition activities in which he is concerned. This connection of an object and a topic with the promotion of an activity having a purpose is the first and the last word of a genuine theory of interest in education.