2. _A Selecting Process._--Selecting of the ideas straight and curved
and the fixing of attention upon them.

3. _A Relating Process._--An organization of the selected ideas into a
new experience in which the curve is viewed as made up of a number of
short, straight lines.

4. _Expression._--Working out the physical expression of the new
experience in the actual forming of capitals involving curved lines.

=Example from Arithmetic.=--An analysis of the process by which a child
learns that there are four twos in eight, shows also the following
factors:

1. _The Problem._--To find out how many twos are contained in the
vaguely known eight.

2. _A Selecting Process._--To meet this problem the pupil is led from
his present knowledge of the number two, to proceed to divide eight
objects into groups of two; and, from his previous knowledge of the
number four, to measure the number of these groups of two.

3. _A Relating Process._--Next the three ideas two, four, and eight are
translated into a new experience, constituting a mental solution of the
present problem.

4. _Expression._--This new experience expresses itself in various ways
in the child's dealings with the number problems connected with his
environment.