Fundamental Principles of Algebra
An eminent mathematician has said recently that of all the high school subjects, algebra has the least and geometry the most educational value. No study in the high school course leaves a more hazy impression on the mind of the average high school student as to its purpose and value than does algebra. The student may put in hours of hard work; he may acquire some skill in performing algebraic operations (to him a highly mechanical accomplishment); he may be able to solve a fairly large number of the problems; he may quote verbatim many definitions, rules and principles; but, when asked what algebra is “all about,” what the letters mean, and whether or not there is any “point” or advantage to his accomplishments, the pupil is “at sea.” In talking with students, I find that the work done by them, in many cases, is quite purposeless and meaningless. To many the algebra work is done from day to day because it is a task assigned, a sort of daily grind that they must go through, using as their guide-posts the type examples worked out in the algebra texts, or explained by the teacher in the assignment of the lesson.