Source: NCTM, The
Mathematics Teacher, V. 92, No. 6
(Sept. 1999),

pp. 492-95

Slide No. 2

Compare and Contrast: Algebraic versus Arithmetic Solutions

•In the following four problems, note how the arithmetic solutions use logic and involve a probing of the conditions of the problem—procedures which often easily transfer to the more abstract process of algebraic solutions, where problems ultimately are reduced to equations.