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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, 44-46, 66 Academic mathematics, history of development of, 17-40 Algebra
Analytic geometry, 22, 141-43 Applied mathematics, 55-56, 139-60
Archimedes, 87-88, 123, 139
Arithmetic, 183-89 [280] Bacon, Sir Francis, 68 Cajori, Florian, 37 Calculus, Cartter, Allan, 262
Colleges
Community colleges, 29, 107, 244-45
Courant, Richard, 82, 154, 155, 240
Cultural approach to mathematics teaching in high schools, 169-78
Cultural values DeMorgan, Augustus, 116 Descartes, René, 30, 123, 134, 219n Eliot, Charles William, 24, 254 Emerson, Ralph Waldo, 17
Evaluation (for faculty status) 82-91
Faculty-to-student ratio, 98-99 [282] Gauss, Karl Friedrich, 57, 123 Generalizations, 43-44, 66 Geometry Gibbs, Josiah Willard, 25, 32 Graduate schools Graduate students (teaching assistants) as teachers, 97-104 Greenwood, Isaac, 20 Group theory (abstract structure), 121, 122 High schools, 161-82 training teachers for, 259-80 Liberal arts course, 111-38 Logical approach, see Deductive approach National Council of Teachers of Mathematics, 37,267-68 Neumann, John von, 37, 139,140 Nevanlinna, Rolf, 48 New mathematics Newton, Sir Isaac, 30, 45, 64, 123, 127 Nevanlinna, Rolf, 48 Non-Euclidean geometry,47, 57, 114, 133, 136 Normal schools, 24, 25, 258-59 Ortega y Gasset, José, 54, 56 Ph.D's [285] Physical science, mathematical essence of theories of,132 Prestige Probability, 55-56 Public education, 19, 24 Public schools, training teachers for, 23-25; Publication of artificial research, 140-41 Pure mathematics, 55-56 Pythagoras, 89 Refereeing, 63-64, 265 Reforms, 235-71 Registration, computerized handling of records and,79 Research, 30-40, 70 in applied mathematics,49-50 Research professors in battle for survival, 73 Riemann, Bernhard, 93, 139 Science Scientist-humanist separation, 136-37 Secondary schools Set theory, 112-13, 185 Specialization, 51-56, 66, 71; Statistics, 55-56 Stone, Marshall, 51, 153-54 Teacher colleges, 258-59 Teachers, Teaching requirements, 76-80 Texts, 208-34 [288] Thibaut, Bernhard Friedrich, 87 Thinking
Thorndike, Edward Lee, 28, 184 Trigonometry Universities, Values of mathematics, 127-36, 169-73 Weierstrass, Karl, 139, 142-43 Weyl, Hermann, 37, 135, 140 White, Andrew Dickson, 33 Whitehead, Alfred North, 149, 165, 200 Wiener, Norbert, 32, 53, 261 Young, Jacob W. A., 36-37 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 21st December 2018
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