For a more detailed analysis of transforming influences in secondary education, with particular reference to mathematics, see BetzWilliam “The reorganization of secondary education.” The National Council of Teachers of Mathematics: The Eleventh Yearbook, pp. 22–135. (Bureau of Publications, Teachers College, Columbia University: New York, 1936, 258 pp.)
2.
WhiteheadAlfred N.The Aims of Education and Other Essays, p. 11. (The Macmillan Company: New York, 1929, 247 pp.)
3.
SlaughtH. E. “Mathematics and sunshine,” p. 246. The Mathematics Teacher, 21 May, 1928, 245–252.
4.
KeyserCassius J.Mole Philosophy and Other Essays, pp. 94 f. (E. P. Dutton and Company: New York, 1927. 234 pp.)
5.
HamleyHerbert Russell. “Relational and functional thinking in mathematics,” p. 6. The National Council of Teachers of Mathematics: The. Ninth Yearbook. (Bureau of Publications, Teachers College, Columbia University: New York, 1934, 215 pp.)
6.
WhiteheadAlfred N.Science and the Modern World, p. 29. (The Macmillan Company: New York, 1935, 296 pp.) See also Keyser, Cassius J. Thinking about Thinking. (E. P. Dutton and Company: New York, 1926, 91 pp.)
7.
DeweyJohn. The Quest for Certainty, p. 151. (Minton, Balch and Company: New York, 1926, 318 pp.)
8.
OrataPedro T. “Transfer of training and educational pseudo-science.” The Mathematics Teacher, 28: May, 1935, 265–289.
9.
From a newspaper report of a speech heard over the radio by the writer.
10.
For a classic discussion of these important considerations, see SmithDavid Eugene, “Mathematics in the training for citizenship.” Teachers College Record, 18: May, 1917, 211–225. See also Keyser, Cassius J. “Humanistic bearings of mathematics,” p. 50. The National Council of Teachers of Mathematics: The Sixth Yearbook, pp. 36–52. (Bureau of Publications, Teachers College, Columbia University: New York, 1931, 195 pp.)
11.
WeylHermann. The Open World, p. 7. (Yale University Press: New Haven, 1932, 84 pp.)
12.
See. for example, MasonFrances, (editor). The Great Design. (The Macmillan Company: New York, 1934, 324 pp.)