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We have presented data to show that many important curricular experiments and changes in United States undergraduate mathematics between 1950 and 2000 were at least partly inspired by influences external to mathematics. Perhaps this is the customary case for any era and any part of the world. Or might this era be distinctive in that a reaction to modernism was underway? We are not aware of other studies that would shed light on these questions and we look forward to additional contributions to this question. In particular, the Cajori Two Project data **[40]** may shed light on the first half of the 20^{th} century in America.

1. ACM curriculum committee on computer science, Curriculum 68: Recommendations for academic programs in computer science, *Communications of the ACM*, **11**, Issue 3 (March 1968), 151-197.

2. G. Birkhoff and T. C. Bartee, *Modern Applied Algebra*, McGraw-Hill, New York, 1967.

3. G. Birkhoff and S. Mac Lane, *A Survey of Modern Algebra*, Macmillian, New York, 1941.

4. F. A. I. Bowers, *Universal Mathematics: Part 1: Functions and Limits*, University of Kansas, Student Union Bookstore, Lawrence, Kansas, 1954.

5. D. Bressoud, Rethinking the First Year, in* Launchings, *Nov. 2007, MAA, 2012,

http://www.maa.org/external_archive/columns/launchings/launchings_11_07.html

6. D. Bressoud, Various titles in 2010 in* Launchings, *MAA, 2012,

http://www.maa.org/columns/launchings/launchings.html

7. D. Bressoud, The Calculus I Instructor, in* Launchings,* June 2011, MAA, 2012,

http://www.maa.org/external_archive/columns/launchings/launchings_06_11.html

[*Editor:* See Bressoud’s continued discussion of high school and college calculus instruction in *Launchings,* http://launchings.blogspot.com/.]

8. D. Bressoud, The Best Way to Learn, in* Launchings, *Aug. 2011, MAA, 2012,

http://launchings.blogspot.com/search?updated-min=2011-01-01T00:00:00-05:00&updated-max=2012-01-01T00:00:00-05:00&max-results=5

9. J. Daniel, email to the author, February 18, 2012.

10. N. Davidson, Small group learning and teaching in mathematics: A selective review of the research, in Dubinsky, Mathews and Reynolds, *Readings in Cooperative Learning for Undergraduate Mathematics*, MAA Notes #44, MAA, Washington, 1997.

11. R. G*. *Douglas,* Toward a Lean and Lively Calculus*, MAA Notes #6, MAA, Washington, 1986.

12. W. L. Duren, Tulane Experience with Universal Mathematics, Part I, *The American Mathematical Monthly*, 63, no. 9 (1956), 23-37.

13. W. L. Duren, CUPM, The history of an idea, *American Mathematical Monthly*, **74** (1967), 23-37.

14. L. Elton, Scholarship and the research and teaching nexus, in Barnett, R. (ed.), *Reshaping the university: new relationships between research, scholarship and teaching. *Maidenhead: McGraw-Hill/Open University Press, 2005, 108–18.

15. S. L. Ganter, *Changing Calculus: A Report on Evaluation Efforts and National Impact From 1988 to 1998*, MAA Notes #56, MAA, Washington, 2001.

16. S. Garfunkel and L. Steen, *For All Practical Purposes: Introduction to Contemporary Mathematics, *W.H. Freeman, New York, 1987.

17. S. Goldberg, *Introduction to Difference Equations, with Illustrative Examples from Economics, Psychology, and Sociology*, Wiley, 1958; reprinted Dover, 1986.

18. J. Gray, *Plato's Ghost:
The Modernist Transformation of Mathematics*, Princeton University Press, Princeton, N. J., 2009.

19. P. R. Halmos, *Finite-dimensional Vector Spaces*, Princeton University Press, Princeton, N. J., 1942.

20. M. Healey and Alan Jenkins, *Developing undergraduate research and inquiry*, a report of the Higher Education Academy, 2009

21. A. Karp and B. Vogeli, *Russian Mathematics Education*, World Scientific, 2011.

22. J. G. Kemeny, L. Snell*, Mathematical Models in the Social Sciences*, MIT Press, Cambridge, Mass., 1962.

23. J. G. Kemeny, L. Snell, and G. L. Thompson, *Introduction to Finite Mathematics*, Prentice-Hall, Englewood Cliffs, N. J., 1956.

24. P. Kidwell, D. L. Roberts, and A. Ackerberg-Hastings, *Tools of American Mathematics Teaching*, *1800-2000*, The Johns Hopkins University Press, Baltimore, 2008.

25. M. Kline, The ancients versus the moderns: A new battle of the books, *Mathematics Teacher,* **51** (1958), 420.

26. D. O. Loftsgaarden, D. C. Rung, and A. E. Watkins, *Statistical Abstract of Undergraduate Programs in the Mathematical Sciences in the United States (Fall 1995 CBMS Survey*), MAA, Washington, 1997.

27. D. Maki and M. Thompson, *Mathematical Models and Applications*, Prentice-Hall, Englewood Cliffs, NJ, 1973.

28. J. Malkevitch and W. Meyer, *Graphs, Models and Finite Mathematics*, Prentice-Hall, Englewood Cliffs, NJ, 1974.

29. Mathematical Association of America, Committee on the Undergraduate Program in Mathematics, *Preliminary Recommendations for an Honors Program* *in Mathematics, *MAA, Washington, 1962.

30. Mathematical Association of America, Committee on the Undergraduate Program in Mathematics, Pregraduate preparation of research mathematicians, in *A Compendium of CUPM Recommendations, Studies, Discussions and Recommendations*, MAA, Washington, 1963, 369-446.

31. Mathematical Association of America, Committee on the Undergraduate Program in Mathematics (CUPM), *Tentative Recommendations for the Undergraduate Mathematics Program of Students in the Biological, Management and Socal Sciences**, *MAA, Washington, 1964.

32. Mathematical Association of America, Committee on the Undergraduate Program in Mathematics, Preparation for graduate study in mathematics, in *A Compendium of CUPM Recommendations Studies, Discussions and Recommendations*, MAA, Washington, 1965, 447-457.

33. Mathematical Association of America, Committee on the Undergraduate Program in Mathematics, *A General Curriculum in Mathematics for Colleges; a Report, *MAA, Washington, 1965.

34. Mathematical Association of America, Committee on the Undergraduate Program in Mathematics, *A Curriculum in Applied Mathematics,* MAA, Washington, 1966.

35. Mathematical Association of America, Committee on the Undergraduate Program in Mathematics, Commentary on *A General Curriculum in Mathematics for Colleges*, in *A Compendium of CUPM Recommendations, Studies, Discussions and Recommendations*, MAA, Washington, 1972, 33-97.

36. Mathematical Association of America, Committee on the Undergraduate Program in Mathematics, Applied mathematics in the undergraduate curriculum: report of the panel on applied mathematics, in *A Compendium of CUPM Recommendations, Studies, Discussions and Recommendations*, MAA, Washington, 1972, 705-756.

37. Mathematical Association of America, Committee on the Undergraduate Program in Mathematics, Introductory statistics without calculus, in Mathematical Association of America, *A Compendium of CUPM Recommendations, Studies, Discussions and Recommendations*, MAA, Washington, 1972, 472-525.

38. Mathematical Association of America, Committee on the Undergraduate Program in Mathematics, *Recommendations for a General Mathematical Sciences Program,* Mathematical Association of America, Washington, 1981.

39. Mathematical Association of America, Committee on the Undergraduate Program in Mathematics, The undergraduate major in mathematical sciences, in *Heeding the Call For Change*, Mathematical Association of America, MAA Notes #22, MAA, Washington, 1992, 227-247.

40. W. Meyer, J. Malkevitch, J. Winn, et al, The Cajori Two Project, August 5, 2013,

http://matcmp.ncc.edu/taormij/cajori_two/search_results.php

41. W. Meyer, The origins of finite mathematics: the social science connection, *The College Mathematics Journal*, **38**, no. 2 (March 2007), 106-118.

42. W. Meyer, Walter Meyer’s Website, https://sites.google.com/site/walterjosephmeyer/home

43. W. Meyer, The return of applications in the undergraduate curriculum, in *The Joe Malkevitch Festschrift*, COMAP, Bedford, MA, 2008, 85-97.

44. National Academy of Sciences, *The mathematical sciences: a report*, Publication #1681, Washington D. C., 1968.

45. National Science Foundation – Awards Search, July 3, 2008, http://www.nsf.gov/awardsearch/index.jsp

46. National Science Foundation – NSF at a Glance, April 7, 2010, http://www.nsf.gov/about/glance.jsp

47. National Science Foundation, NSF By Account, April 16, 2012, http://dellweb.bfa.nsf.gov/NSFHist.htm

48. B. Noble, *Applied Linear Algebra,* Prentice-Hall, Englewood Cliffs, NJ, 1966.

49. H. O. Pollak, A history of the teaching of modeling, Chapter 16 in *A History of School Mathematics*, G.M.A. Stanic and J. Kilpatrick, editors, National Council of Teachers of Mathematics, 2003, 647 - 671.

50. G. B. Price, A universal course in mathematics, *A Summer Institute for Teachers of Collegiate Mathematics*, Oklahoma Agricultural and Mechanical College, 1955.

51. A. Ralston and G. Young, *The Future of College Mathematics*, Springer-Verlag, New York, 1983.

52. A. Ralston, Computer science, mathematics and the undergraduate curriculum in both, *The American Mathematical Monthly*, **88**, no. 7 (1981), 472-485.

53. A. Ralston, email, Sept. 11, 2006.

52. D. L. Roberts, Universal mathematics: efforts to revitalize American undergraduate mathematics instruction in the early cold war period, unpublished paper delivered at the Conference on the History of Undergraduate Mathematics in America at the United States Military Academy, June 22, 2001; manuscript available from the author.

53. G. M. Rosenstein, American calculus textbooks of the nineteenth century, in R. A. Askey, H. M. Edwards, U. C. Merzbach (eds.), *A Century of Mathematics in America*, vol. 3, AMS, Providence, RI, 1989, 77-109.

54. A. C. Tucker and J. R. C. Leitzel, *Assessing Calculus Reform Efforts*, MAA, Washington, 1995, 1-22.

Walter Meyer (Adelphi University), "External Influences on U.S. Undergraduate Mathematics Curricula: 1950-2000 - Conclusion - References," *Convergence* (August 2013)