Ordinal numbers, confused with cardinal, 206 Original tendencies and arithmetic, 195 ff. Overlearning, 134 ff. Percents, 80 f. Perception of number, 202 ff. PHILLIPS, D. E., 3, 4, 205, 207 Pictures, hygiene of, 246 ff.; number, 259 ff. POMMER, O., 212 Practice, amount of, 122 ff.; distribution of, 156 ff. Precision in fundamental operations, 102 ff. Problem attitude, 266 ff. Problems, 9 ff.; "catch," 21 ff.; measurement of ability with, 42 ff.; whose answer must be known in order to frame them, 93 f.; verbal form of, 111 f.; interest in, 220 ff.; as introductions to arithmetical learning, 266 ff. Propædeutic bonds, 117 ff. Purposive thinking, 193 ff. Quantity, number and, 85 ff.; perception of, 202 ff. RACE, H., 295 Rainfall, 272 Ratio, 225 f.; meaning of numbers, 3 ff. Reaction, negative, 278 f. Reality, in problems, 9 ff. Reasoning, arithmetical, nature of, 19 ff.; measurement of ability in, 42 ff.; derivation of tables by, 58 f.; about the rationale of computations, 60 ff.; habit in relation to, 73 f., 190 ff.; problems which provoke false, 100 f.; the essentials of arithmetical, 185 ff.; selection in, 187 ff.; as the coöperation of organized habits, 190 ff. Recapitulation theory, 198 f. Recipes, 273 f. Rectangle, area of, 257 f. RICE, J. M., 228 ff. RUSH, G. P., 49 SEEKEL, E., 212 SELKIN, F. B., 196 f. Sequence of topics, 141 ff. Series meaning of numbers, 2 ff. Size of class in relation to arithmetical learning, 228 SMITH, D. E., xvi, 224 Social instincts, use of, 195 f. Sociology of arithmetic, 24 ff. Speed in relation to accuracy, 31, 108 SPEER, W. W., 3, 5, 83 Spiral order, 141, 145 STARCH, D., 49, 295 STERN, W., 210, 212 STONE, C. W., 27 ff., 42 ff., 228 ff. Subtraction, measurement of, 34 f.; constitution of, 57 f.; amount of practice in, 122 ff. Supervision, 233 f. SUZZALLO, H., xvi Temporary bonds, 111 ff. Terms, 113 f. Tests of arithmetical abilities, 27 ff. THORNDIKE, E. L., 34, 38 ff., 227, 294 Time, devoted to arithmetic, 228 ff.; of day, in relation to arithmetical learning, 227 f. Type, hygiene of, 235 ff. Underlearning, 134 ff. United States money, 148 ff. Units of measure, arbitrary, 5, 83 f. Variation, among individuals, 285 ff. Variety, in teaching, 153 Verification, 81 f.; aided by greater strength of the fundamental bonds, 107 ff. WALSH, J. H., 11 WELLS, F. L., 295 WHITE, E. E., 5 WHITLEY, M. T., 295 WIEDERKEHR, G., 212 WILSON, G. M., 24, 49 WOODY, C., 29 ff., 52, 287, 293 Words. _See_ Language _and_ Terms. Written arithmetic, 262 ff. Zero in multiplication, 179 f. TRANSCRIBER'S NOTES: 1. Passages in italics are surrounded by _underscores_. 2. Passages in bold are indicated by #bold#.