The 3 Rs still form the nucleus of education and must remain of highest priority in the school curriculum. The word denotes action, involvement, striving, and achieving. Mathematics is an active rather than a passive thing. To my way of thinking, mathematics can best be described as the logical study of shape, arrangement, and quantity . Applied mathematics is the study of shape, arrangement, and quantity of the physical, biological, and sociological patterns in man's universe.
Pure mathematics is the study and development of the accepted principles of mathematics.
Arithmetic deals with numbers representing quantities. Algebra deals with symbols representing quantities and with arrangement of these symbols. Geometry deals with shapes in space called figures and involves quantities associated with those figures. Trigonometry is concerned with angles, their arrangements, and quantities associated with them. Calculus emphasizes changes in arrangements of associated quantities.