The meaningful method of teaching arithmetic is generally accepted by most teachers and professional educators, but to the best of the writer's knowledge few, if any, attempts have been made to measure the meanings of arithmetic. Standardized and teacher-made tests in the field of arithmetic usually measure abstract computational skills only. If we are to teach by the meaningful method then we should test to discover if the child comprehends the meanings and understandings inherent in our number system. The fact that a child can give the correct answer to the computation 25+38 indicates that he knows how to obtain the correct answer but does not necessarily indicate that he understands what he did to obtain the correct answer.