Scientific Method in the Reconstruction of Ninth Grade Mathematics a Complete R
Scientific Method in the Reconstruction of Ninth Grade Mathematics a Complete R
Harold Ordway Rugg
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, may be arranged for a given type of operation should appear in exact rotation in the test. For example, in Test I there are six principal ways in which parentheses examples may be "arranged, " i. E. , considering the use of the + and — signs, ( ), letters, etc. These appear in Test I in such order that in the first, seventh, thirteenth, nineteenth, and twenty-fifth examples the signs and symbols occupy the same relative positions, i. E. , the examples involve the same algebraic and mental pro...cesses. Our research shows that it is of the utmost importance that this "cycle principle " be followed in the most rigorous fashion. The importance of this point is indicated by the differences in difficulty that are revealed by Table I, in the original report. 1 This shows how a few failures '"Standardized Tests and the Improvement of Teaching, " H. O. Rugg and J. R. Clark, School Review, XXV (February and March, 1917). 70 RECONSTRUCTION OF NINTH-GRADE MATHEMATICS to follow the principle exactly caused quite different percentages of failure on the part of pupils in solving the examples.
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