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On the ideal role of an industrial mathematician and its educational implications

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References

  1. Weil A., ‘The Future of Mathematics’, Amer. Math. Monthly (1950) 295–306.

  2. Synge, J. L., ‘Postcards on Applied Mathematics’, Amer. Math. Monthly (1939) 152–159.

  3. Murray, F. J., ‘Education for Applied Mathematics’, Amer. Math. Monthly (1962) 347–357.

  4. Pollak, H. O., ‘Mathematical Research in the Communications Industry’, Pi Mu Epsilon Jour., Spring (1959) 494–6.

  5. JohnsonR. E. and KiokemeisterF. L., Calculus with Analytic Geometry, Allyn and Bacon, Boston, 2nd printing (1969) p. 309.

    Google Scholar 

  6. FlandersH., KorfhageR. R., and PriceJ. J., Calculus, Academic Press, N.Y., 1970.

    Google Scholar 

  7. KlamkinM. S., ‘On the Teaching of Mathematics so as to be Useful’, Educ. Studies in Math. 1 (1968) 126–160.

    Google Scholar 

  8. Klamkin, M. S. and Newman, D. J., ‘The Philosophy and Applications of Transform Theory’, SIAM Review (1961) 10–36.

  9. ‘Problem 60-4’, SIAM Review (1961) 329–336.

  10. BlankA., ‘The Use and Abuse of the Axiomatic Method in High School Teaching’, from The Role of Axiomatics and Problem Solving in Mathematics, Ginn and Co., Boston (1966) pp. 13–19.

    Google Scholar 

  11. Allendoerfer, C. B., ‘The Dilemma in Geometry’, Math. Teacher (1969) 165–169.

  12. New Thinking in School Mathematics, Organization for European Economic Cooperation, 1961.

  13. Sullivan, J. J., ‘What Should be Done about High School Geometry?’, N.Y.S. Math. Teach. Jour. (1969) 6–11.

  14. Wilansky, A., ‘Algebra and Geometry; Mathematics or Science?’, Math. Teacher (1961) 339–343.

  15. Quadling, D. A. and others, ‘The Use of the Axiomatic Method in Secondary Teaching’, Math. Teacher (1967) 398–403.

  16. Adler, I., ‘What Shall we Teach in High School Geometry?’, Math. Teacher (1968) 226–238.

  17. Fawcett, H. P., ‘The Geometric Continuum’, Math. Teacher (1970) 411–420.

  18. Klamkin, M. S. and Newman, D. J., ‘Flying in a Wind Field I’ Amer. Math. Monthly (1969) 16–23, 1013–1019.

  19. Klamkin, M. S. and Newman, D. J., ibidem, II.

  20. Klamkin, M. S., On Some Mathematical Problem Arising in the Space Industry’, Pi Mu Epsilon Jour. (1959) 497–503.

  21. Steenrod, N., ‘The Geometric Content of Freshman and Sophomore Mathematics Courses’, CUPM Geometry Conf. Report II (1967) 1–52.

  22. PoincaréH., The Foundations of Science, Science Press, Lancaster, Pa., 1964.

    Google Scholar 

  23. Hammersley, J. M., ‘On the Enfeeblement of Mathematical Skills by “Modern Mathematics” and by Similar Soft Intellectual Trash in Schools and Universities’, Bull. Inst. Math. Appl. (1968) 66–85.

  24. Math. Student Jour., Jan. 1970.

  25. ‘Problem 158’, Pi Mu Epsilon Jour., Spring (1956) 77.

  26. Fehr, H. F., ‘Reorientation in Math Education’, Math. Teacher (1968) 593–601.

  27. Coleman, A. J., ‘Mathematics in the 2nd Half of the 20th Century’, Notes of the Canadian Math. Congress, Jan. (1970), Feb. (1970) pp. 1–5, pp. 1–5.

  28. Bourbaki, N., ‘The Architecture of Mathematics’, Amer. Math. Monthly (1950) 221–232.

  29. PólyaG., How to Solve It, Doubleday, N.Y., 1957.

    Google Scholar 

  30. PólyaG., Mathematical Discovery I II, Wiley, N.Y., 1962, 1965.

    Google Scholar 

  31. PólyaG., Mathematics and Plausible Reasoning I II, Princeton University Press, Princeton, 1954.

    Google Scholar 

  32. Pólya, G., ‘On Learning, Teaching, and Learning Teaching’, Amer. Math. Monthly (1963) 605–619.

  33. Wilder, R. L., ‘The Role of Intuition’, Science (1967) 605–610.

  34. Young, J. W. A., The Teaching of Mathematics’, Math. Teacher (1968) 287–295.

  35. A Programmed Course in Geometry, Minnesota National Laboratory, (1969) Units III, X.

  36. Montroll, E., ‘Education in Applied Mathematics’, SIAM Review (1967) 289–415.

  37. Coxeter, H. S. M., ‘The Ontario K-13 Geometry Report’, Geometry in the Secondary School, N.C.T.M. (1967) 8–12.

  38. Forsythe, G. E., ‘How Do You Solve a Quadratic Equation?’ Stanford University, Tech. Report No. C540, June 16, 1966.

  39. Dickinson, A. W., ‘The Quadratic Formula Revisited’, Jour. Recreat. Math. (1970) 31–33.

  40. Wampler, R. H., ‘An Evaluation of Linear Least Squares Computer Programs’, Jour. Res. Nat. Bur. Stand. (1969) 59–90.

  41. Minsky, M., ‘Form and Content in Computer Science’, M.I.T. Memo. No. 187, Dec. (1969), ACM ‘Turning Lecture’, August (1969); to appear in JACM April (1970).

  42. Freudenthal, H., ‘Why to Teach Mathematics so as to Be Useful’, Educ. Studies in Math. (1968) 3–8.

Supplementary references

  1. CourantR., RobbinsH., What is Mathematics, Oxford University Press, N.Y., 1943, v, vi, xv-xix.

    Google Scholar 

  2. Buchanan, H. E., ‘A Manual for Young Teachers of Mathematics’, Amer. Math. Monthly (1946) 371–377.

  3. Beatley, R., ‘The Pupil's Advocate’, Amer. Math. Monthly (1950) 369–381.

  4. Richardson, M., ‘Fundamentals in the Teaching of Undergraduate Mathematics’, Amer. Math. Monthly (1951) 182–186.

  5. Weyl, H., ‘A Half-Century of Mathematics’, Amer. Math. Monthly (1951) 523–525

  6. BiotM. A., ‘Applied Mathematics, an Art and a Science’, Jour. Aero, Science 23 (1956) 406–411, 489.

    Google Scholar 

  7. Boas, Jr., R. P., ‘If This Be Treason’, Amer. Math. Monthly (1957) 247–249.

  8. SawyerN. W., ‘The Reconstruction of Mathematical Education’, Jour. Eng. Educ. 51 (1960) 98–113.

    Google Scholar 

  9. Stone, M. H., ‘The Revolution in Mathematics’, Amer. Math. Monthly (1961) 715–734.

  10. ‘On the Mathematics Curriculum of the High School’, Amer. Math. Monthly (1962) 189–193.

  11. Allendoerfer, C. B., ‘The Narrow Mathematician’, Amer. Math. Monthly (1962) 461–469.

  12. ‘Symposium on Applied Mathematics: What is Needed in Research and Education’, SIAM Review (1962) 297–320.

  13. BiotM.A., ‘Science and the Engineer’, Appl. Mech. Rev. 16 (1963) 89–90.

    Google Scholar 

  14. Cogan, E. J., ‘The Handmaiden Comes of Age’, Amer. Math. Monthly (1963) 554–560.

  15. Wittenberg, A., ‘An Unusual Course for Future Teachers of Mathematics’, Amer. Math. Monthly (1963) 1091–1097.

  16. The ACCE Reporter, The American Council for Curricular Evaluation, 1964–69.

  17. Dieudonné, J., ‘Recent Developments in Mathematics’, Amer. Math. Monthly (1964) 239–248.

  18. Hammer, P. C., “The Role and Nature of Mathematics’, Math. Teacher (1964) 514–521.

  19. Moise, E. E., ‘Activity and Motivation in Mathematics’, Amer Math. Monthly (1965) 407–412.

  20. Hamming, R. W., ‘Numerical Analysis vs Mathematics’ Science (1965) 473–475.

  21. The Role of Axiomatics and Problem Solving in Mathematics, Ginn and Col., Boston, 1966.

  22. Johnson, D. A., ‘A Pattern for Reseach in the Mathematics Classroom’, Math. Teacher (1966) 418–425.

  23. Nevanlinna, R., ‘Reform in Teaching Mathematics’, Amer. Math. Monthly (1966) 451–464.

  24. Mueller, F. J., ‘The Revolution at Sputnick-Plus-Ten’, Math. Teacher (1967) 696–706.

  25. ‘Proceedings of the Colloquium: How to Teach Mathematics so as to Be Useful’, Educ. Studies in Math. (1968) 3–246.

  26. Rollett, A. P., ‘Class Consciousness’, Math. Gazette (1968) 219–241.

  27. Halmos, P. R., ‘Mathematics as a Creative Art’, Amer. Scientist (1968) 375–389.

  28. Whitehead, A. N., ‘Mathematics and Liberal Education’, Math. Teacher (1968) 509–516.

  29. Christiansen, B., ‘Induction and Deduction in the Learning of Mathematics and in Mathematical Instruction’, Educ. Studies in Math. (1969) 139–159.

  30. Engel, A., ‘The Relevance of Modern Fields of Applied Mathematics for Mathematical Education’, Educ. Studies in Math. (1969) 257–269.

  31. Thwaites, B., ‘The Role of the Computer in School Mathematics’, Educ. Studies in Math. (1969) 346–359.

  32. Pollak, H. O., ‘How Can we Teach Applications of Mathematics?’, Educ. Studies in Math. (1969) 393–404.

  33. Herstein, I. N., ‘On the Ph.D. in Mathematics’, Amer. Math. Monthly (1969) 818–824.

  34. Spohn, Jr., W. G., ‘Can Mathematics Be Saved?’, Notices of Amer. Math. Soc. (1969) 890–894.

  35. Cartwright, M. L., ‘Mathematics and Thinking Mathematically’, Amer. Math. Monthly (1970) 20–28.

  36. Kline, M., ‘Logic Versus Pedagogy’, Amer. Math. Monthly (1970) 264–282.

  37. Newsom, C. V., ‘By Way of Celebrating a Personal Anniversary’, N.Y.S. Math. Teach. Jour. (1970) 50–53.

  38. Kline, M., ‘The Proper Direction for Curriculum Reform’, N.Y.S. Math. Teach. Jour. (1970) 56–65.

  39. Reynolds, P., ‘Have We Gone too Far’? N.Y.S. Math. Teach. Jour. (1970) 99–100.

  40. Hawthorne, F. and O'Reilly, R., ‘The Space-Visualization Project’, N.Y.S. Math. Teach. Jour. (1970) 114–116.

  41. Whyburn, L. S., ‘Student Oriented Teaching — the Moore Method’, Amer. Math. Monthly (1970) 351–359.

  42. ShawC. J., ‘The Coming Numerical Crisis in Computing’, Datamation 16 (1970) 422.

    Google Scholar 

  43. O.S.P., N.R.C., ‘Employment Status of Recent Recipients of the Doctorate’, Science 168 (1970) 930–939.

    Google Scholar 

  44. Rothenberg, M. S., ‘Physicists with Unusual Careers’, Physics Today (1970) 23–30.

  45. WilderR. L., ‘The Beginning Teacher of Mathematics’, Effective College Teaching, Amer. Council on Educ., Wash. D.C., 1970, 94–103.

    Google Scholar 

  46. JonesP. S., ed., A History of Mathematics Education in the United States and Canada, N.C.T.M., Washington, D.C., 1970.

    Google Scholar 

  47. BidwellJ. K. and ClasonR. G., ed., Readings in the History of Mathematics Education, N.C.T.M., Washington, D.C., 1970.

    Google Scholar 

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This is an expanded version of a communication which was to be presented at the first International Congress on Mathematical Education held in Lyons, France, August 25–30, 1969. Unfortunately, the author was not able to attend. The paper was also published in Amer. Math. Monthly 78 (1971), 53–76.

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Klamkin, M.S. On the ideal role of an industrial mathematician and its educational implications. Educ Stud Math 3, 244–269 (1971). https://doi.org/10.1007/BF00305452

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