An Experimental Study to Determine the Relative Difficulty of the Elementary Number Combinations in Addition and Multiplication (Classic Reprint)

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Excerpt from An Experimental Study to Determine the Relative Difficulty of the Elementary Number Combinations in Addition and Multiplication Psychological justification of the method of presenting the combinations, 1. The number concept, 2. Putting content into number and process symbols, 3. Objective demonstration of number facts and processes, 4. Memory and habit, 5. Association, judgment, &c, 6. Repetition and retention, 7. Extent of the appeal to the senses, 8. Some experiments showing the effects of varying modes of repetition on the process of memorizing, Difficulty, 1. Its meaning, 2. Its cause, 3. Its measure, Results in the study of addition, 1. Results in teaching the forty-five addition combinations (Table III), 2. Summary and co-efficients of difficulty determinations (Table IV), 3. Graphic comparison of the learning co-efficients of difficulty fort boys and girls (Graph I), 4. Graphic comparison of total errors co-efficients of difficulty for boys and girls (Graph II), 5. Discussion of results, (a) Interpretation of Table IV, (b) Method of studying the graphs, (c) Analysis and significance of the graphs, Results in the study of multiplication, 1. The results in teaching the seventy-eight multiplication combinations (Table V), 2. Summary and co-efficients of difficulty determinations (Table VI), 3. Graphic comparison of the learning co-efficients of difficulty for boys and girls (Graph III), 4. Graphic comparison of the total errors co-efficients of difficulty for boys and girls (Graph IV), 5. Discussion of the results in multiplication, Relative difficulty as Indicated by errors alone, 1. Plan, 2. Nature of the tests, 3. Directions for teachers, 4. Results -, (a) Addition (Tables VII and VIII), 1. Discussion, 2. Errors in process (Table XII), with discussion, 3. Graph VI, with discussion, (b) Multiplication (Tables X and XI), 1. Discussion, 2. Errors in process (Table XII), with discussion, 3. Graph VI, with discussion About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully, any imperfections that remain are intentionally left to preserve the state of such historical works.