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The article reports on the discussion of the study concerning the learning of mathematics. The discussion contains arguments regarding the paper written by professor Stone about functions. One of the arguments that is given attention to, is the concept of function being connected with the primitive concepts of pure logic, nearly unanalyzable and must be grasped by a psychological act of direct perception. This argument is also related to the child's development as the notion of grasping and perception are described to occur at some point in the development.

The article reports on the process of group discussion regarding the study of functions. The concept of function is described to be a central part of a mathematical thought and can be used specifically to illustrate problems of teaching. The function concept is also illustrated to be in a similar status as the class concept. The functions allows the student of mathematics to define what algebra means and geometry. It also gives fundamental mathematical tools in several areas of mathematics. Moreover, functions are considered to give fundamental building blocks in the study of mathematics.

The article reports on the concept of functions in the study and learning of mathematics. Functions are mathematical entities, designated by many other names that are associated to the different branches of mathematics. One of the characteristics of functions is that it acts upon and combines with certain objects and converting them into unique objects of the same kind. It was through the study of geometry that the functions were first detected. Examples of functions were also accumulated gradually and was not numerous until the start of the previous century.