One divided exactly in half.
One with the dividing line between one-half and two-thirds of the length from one end.
One with the dividing line at a point three-quarters of the length.
One with the dividing line between three-quarters of the entire length and the end.
Conclusions drawn from a comparison of the above illustrative materials may in turn be applied to other problems in which color, texture, or design may have made it difficult in the beginning for the pupils to focus their attention upon space division.
It is obvious that if choosing candles for certain definite candlesticks is the introductory problem, candles of varying heights, but of the same color, will need to be provided if the class is to come to some definite conclusions. If this problem is used in the judgment series, as in the lesson above, it will serve as another application of the principles of space division.
One possible assignment has been given in the lesson. Other possibilities present themselves as follows:
1. "Where could you find an illustration in which you think there is particularly pleasing space division? Will you bring such an illustration to class?" Such an assignment affords additional training in selection and directs the observation of the pupils to their environment outside the school.
2. "When you are at home to-night, will you notice the arrangement of articles on your dresser? If these articles are not as well arranged as you think they can be, make an arrangement which is balanced and which divides the space as well as possible. Be ready to tell the class why you think you have a well-balanced and nicely spaced arrangement." In this particular assignment it is assumed that pupils have previously developed the ability to make balanced arrangements. This is a further application of that ability but in an advanced form. In developing an ability to make balanced arrangements, attention was centered on the placing of articles on either side of a center. Now that the ability to divide a space has been developed, it is time to take up the balancing of articles within a given space so that the proportions of that space are pleasing.