...variable to another, and ending with short-cut methods of division by knowledge of special identities. The mere knowledge of the language of algebra has...more utility than educators have thought, while skill in^omputing has less. Educators are prone to think it fofly to learn algebraic symbols at all if you...

...variable to another, and ending with short-cut methods of division by knowledge of special identities." 6. "The mere knowledge of the language of algebra has...think it folly to learn algebraic symbols at all if we don't compute with them. They forget that we have to read them, and perhaps twice for every once...

...understanding or informational usage than computational usage. In this connection, Thorndike says, " The mere knowledge of the language of algebra has...have thought, while skill in computing has less." This statement was based upon an inventory of the Encyclopaedia Britannica, in which he found that...

...statements of facts, rules, laws, principles; (2) definitions dealing with magnitudes and quan'"The mere knowledge of the language of algebra has more...have thought, while skill in computing has less." — THORNDIKE, E. I,.— Psychology of Algebra. New York: The Macmillan Company, 1923, p. 89. titative...

...mathematics ordinarily gained by students who study the subject from three to five or more years. In general, "mere knowledge of the language of algebra has more...have thought, while skill in computing has less." Arithmetical processes emphasized in textbooks. A comparison of four textbooks in arithmetic showed...