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New York: Oxford University Press, 1942. Wilson, Robert C., et. al. College Professors and Their Impact on Students. New York: John Wiley and Sons, 1974. [278]Index Title Page INDEX [279] Abstraction, 4446, 66 Academic mathematics, history of development of, 1740 Algebra
Analytic geometry, 22, 14143 Applied mathematics, 5556, 13960
Archimedes, 8788, 123, 139
Arithmetic, 18389 [280] Bacon, Sir Francis, 68 Cajori, Florian, 37 Calculus, Cartter, Allan, 262
Colleges
Community colleges, 29, 107, 24445
Courant, Richard, 82, 154, 155, 240
Cultural approach to mathematics teaching in high schools, 16978
Cultural values DeMorgan, Augustus, 116 Descartes, René, 30, 123, 134, 219n Eliot, Charles William, 24, 254 Emerson, Ralph Waldo, 17
Evaluation (for faculty status) 8291
Facultytostudent ratio, 9899 [282] Gauss, Karl Friedrich, 57, 123 Generalizations, 4344, 66 Geometry Gibbs, Josiah Willard, 25, 32 Graduate schools Graduate students (teaching assistants) as teachers, 97104 Greenwood, Isaac, 20 Group theory (abstract structure), 121, 122 High schools, 16182 training teachers for, 25980 Liberal arts course, 11138 Logical approach, see Deductive approach National Council of Teachers of Mathematics, 37,26768 Neumann, John von, 37, 139,140 Nevanlinna, Rolf, 48 New mathematics Newton, Sir Isaac, 30, 45, 64, 123, 127 Nevanlinna, Rolf, 48 NonEuclidean geometry,47, 57, 114, 133, 136 Normal schools, 24, 25, 25859 Ortega y Gasset, José, 54, 56 Ph.D's [285] Physical science, mathematical essence of theories of,132 Prestige Probability, 5556 Public education, 19, 24 Public schools, training teachers for, 2325; Publication of artificial research, 14041 Pure mathematics, 5556 Pythagoras, 89 Refereeing, 6364, 265 Reforms, 23571 Registration, computerized handling of records and,79 Research, 3040, 70 in applied mathematics,4950 Research professors in battle for survival, 73 Riemann, Bernhard, 93, 139 Science Scientisthumanist separation, 13637 Secondary schools Set theory, 11213, 185 Specialization, 5156, 66, 71; Statistics, 5556 Stone, Marshall, 51, 15354 Teacher colleges, 25859 Teachers, Teaching requirements, 7680 Texts, 20834 [288] Thibaut, Bernhard Friedrich, 87 Thinking
Thorndike, Edward Lee, 28, 184 Trigonometry Universities, Values of mathematics, 12736, 16973 Weierstrass, Karl, 139, 14243 Weyl, Hermann, 37, 135, 140 White, Andrew Dickson, 33 Whitehead, Alfred North, 149, 165, 200 Wiener, Norbert, 32, 53, 261 Young, Jacob W. A., 3637 I am very grateful for the kind permission of Professor Kline's widow, Mrs Helen Kline for this book to be reproduced. Copyright © Helen M. Kline & Mark Alder 2000 This version 29th July 2000
