Morris Kline
(1 May 1908 - 10 Jun 1992)
American mathematician who wrote papers on books about the teaching of mathematics in which he held the belief that the subject should be applied to comprehending real life. His books include Why Johnny Can't Add: The Failure of the New Math (1973).
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Science Quotes by Morris Kline (11 quotes)
[The error in the teaching of mathematics is that] mathematics is expected either to be immediately attractive to students on its own merits or to be accepted by students solely on the basis of the teacher’s assurance that it will be helpful in later life. [And yet,] mathematlcs is the key to understanding and mastering our physical, social and biological worlds.
— Morris Kline
In editorial in Focus, a Journal of the Mathematical Association of America (1986), quoted in obituary by Eric Pace, New York Times (11 Jun 1992).
Is there perhaps some magical power in the subject [mathematics] that, although it had fought under the invincible banner of truth, has actually achieved its victories through some inner mysterious strength?
— Morris Kline
…...
Mathematicians create by acts of insight and intuition. Logic then sanctions the conquests of intuition. It is the hygiene that mathematics practices to keep its ideas healthy and strong. Moreover, the whole structure rests fundamentally on uncertain ground, the intuition of humans. Here and there an intuition is scooped out and replaced by a firmly built pillar of thought; however, this pillar is based on some deeper, perhaps less clearly defined, intuition. Though the process of replacing intuitions with precise thoughts does not change the nature of the ground on which mathematics ultimately rests, it does add strength and height to the structure.
— Morris Kline
In Mathematics in Western Culture (1964), 408.
Mathematics is a body of knowledge, but it contains no truths.
— Morris Kline
In Mathematics in Western Culture (1954), 9.
On all levels primary, and secondary and undergraduate - mathematics is taught as an isolated subject with few, if any, ties to the real world. To students, mathematics appears to deal almost entirely with things whlch are of no concern at all to man.
— Morris Kline
In editorial in Focus, a Journal of the Mathematical Association of America (1986), quoted in obituary by Eric Pace, New York Times (11 Jun 1992).
Perhaps the best reason for regarding mathematics as an art is not so much that it affords an outlet for creative activity as that it provides spiritual values. It puts man in touch with the highest aspirations and lofiest goals. It offers intellectual delight and the exultation of resolving the mysteries of the universe.
— Morris Kline
Mathematics: a Cultural Approach (1962), 671. Quoted in H. E. Hunter, The Divine Proportion (1970), 6.
Rigor is the gilt on the lily of real mathematics.
— Morris Kline
In 'The Ancients Versus the Moderns, a New Battle of the Books', The Mathematics Teacher (Oct 1958), 51, No. 6, 423.
Statistics: the mathematical theory of ignorance.
— Morris Kline
From chapter title, 'The Mathematical Theory of Ignorance: The Statistical Approach to the Study of Man', in Mathematics in Western Culture (1953, 1964), 340.
The stone that Dr. Johnson once kicked to demonstrate the reality of matter has become dissipated in a diffuse distribution of mathematical probabilities. The ladder that Descartes, Galileo, Newton, and Leibniz erected in order to scale the heavens rests upon a continually shifting, unstable foundation.
— Morris Kline
Mathematics in Western Culture (1953), 382.
There is no rigorous definition of rigor.
— Morris Kline
In Mathematics: The Loss of Certainty (1982), 315.
Universities hire professors the way some men choose wives—they want the ones the others will admire.
— Morris Kline
In Why the Professor Can’t Teach: Mathematics and the Dilemma of University Education (1977), 92.