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# References Arranged by Topic - Part I

### An Index of Links and Citations Grouped by Topic

As a reference tool for those who may be interested in certain aspects of CUPM's work, we list here the references cited above, grouped by topic. Topics are arranged in an order that moves from more general and elementary to more specialized and advanced; within topics, references are listed in chronological order. (In a few cases a citation is listed twice if it fits naturally under two different topic headers.) These reference lists include reports that bear on the agenda of CUPM whether or not they were sponsored by CUPM or its various associated subcommittees. Quite a few are studies by other groups or individuals, many of whom had close ties to CUPM or MAA. All were mentioned earlier in this document.

Since many CUPM reports have been reprinted in one of three compendia, we use these abbreviations in citations:

As above, although CUPM citations refer to the original publication, most links go to the version found in the compendia rather than to an on-line copy of the original.

#### Policy Issues in Education and Mathematics

- 1965.
*The Mathematical Sciences: Vol. I, A Report.* Committee on Support of Research in Mathematical Sciences (COSRIMS), Lipman Bers, chairman. National Research Council. Washington, DC: National Academy Press, 1965.
- 1965.
*The Mathematical Sciences: Vol II, Undergraduate Education.* COSRIMS Panel on Undergraduate Education in Mathematics, John G. Kemeny, chairman. National Research Council. Washington, DC: National Academy Press, 1965.
- 1981.
*The New Liberal Arts: An Exchange of Views.* James D. Koerner, editor. New York, NY: Alfred P. Sloan Foundation, 1981.
- 1983. A Nation at Risk: The Imperative for Educational Reform. National Commission on Excellence in Education, David P. Gardner, chairman. Washington, DC: U.S. Government Printing Office, 1983.
- 1984.
*Involvement in Learning: Realizing the Potential of American Higher Education.* Study Group on the Conditions of Excellence in American Higher Education. Washington, DC: National Institute of Education, October, 1984.
- 1984.
*Renewing U.S.Mathematics: Critical Resource for the Future*. Committee on Resources for the Mathematical Sciences, Edward E. David, chairman. National Academy Press, 1984. (See Synopsis, *Science*, 224:4654 (15 June 1984) 1189.
- 1985.
*Integrity in the College Curriculum: A Report to the Academic Community*. Project on Redefining the Meaning and Purpose of Baccalaureate Degrees. Washington, DC: Association of American Colleges, February, 1985.
- 1986.
*Mathematical Sciences: A Unifying and Dynamic Resource*. Panel on Mathematical Sciences, Board on Mathematical Sciences. Washington, DC: National Academy Press, 1986.
- 1986.
*Undergraduate Science, Mathematics and Engineering Education, Vols. I, II*. Task Committee on Undergraduate Science and Engineering Education. National Science Board, 1986.
- 1988 "Renewing U.S. Mathematics: An Agenda to Begin the Second Century." Edward E. David.
*Notices of Amer. Math. Soc.*, 35 (Oct. 1988) 1119-1123.
- 1990.
*A Challenge of Numbers: People in the Mathematical Sciences*. NRC Committee on the Mathematical Sciences in the Year 2000, Bernard L. Madison & Therese A. Hart. National Academy Press, 1990.
- 1990.
*Actions for Renewing U.S. Mathematical Sciences Departments*. Board on Mathematical Sciences. National Research Council, 1990.
- 1990
*Liberal Learning and the Arts and Sciences Major.* Vol 1: The Challenge of Connected Learning; Vol 2: Reports from the Fields. Association of American Colleges, 1990.
- 1990.
*Renewing U.S. Mathematics: A Plan for the 1990s*. Committee on the Mathematical Sciences: Status and Future Directions, Edward E. David, chairman. Board on Mathematical Sciences, National Research Council. Washington, DC: National Academy Press, 1990.
- 1990.
*Scholarship Reconsidered: Priorities of the Professoriate*. Ernest L. Boyer. Princeton, NJ: The Carnegie Foundation for the Advancement of Teaching, 1990.
- 1990.
*The New Liberal Arts Program: A 1990 Report.* Samuel Goldberg, editor. New York: Alfred P. Sloan Foundation, 1990.

#### Reports about CUPM, its History, and Recommendations

- 1953. 36th Annual Meeting of the MAA.
*Amer. Mathematical Monthly*, 60:2 (Mar. 1953) 214-218.
- 1955. Report of the Committee on the Undergraduate Mathematical Program. W.L. Duren
*et al*. *Amer. Mathematical Monthly*, 62:7 (Sep. 1955) 511-520.
- 1957.
*Collected Reports of the CUP*. Committee on the Undergraduate Program, W.L. Duren, Jr., editor. University of Virginia, 1957.
- 1958.
*Transition Report and Outline of Recommended Courses*. R.L. Davis. University of Virginia. 1958.
- 1958. The Washington Conference.
*Amer. Mathematical Monthly*, 65:8 (Oct. 1958) 575-586.
- 1959. Conference on the Committee on the Undergraduate Program
*Amer. Mathematical Monthly*, 66:3 (Mar. 1959) 213-220.
- 1967. CUPM, The History of an Idea. W.L. Duren, Jr.
*Amer. Mathematical Monthly*, 74:1 Part 2, Fiftieth Anniversary Issue (Jan. 1967) 23-37.
- 1976.
*A Compendium of CUPM Recommendations* (2 Vols). Mathematical Association of America, c. 1976. (Subtitled "Studies, Discussions, and Recommendations by the Committee on the Undergraduate Program in Mathematics of the Mathematical Association of America.")
- 1989. Reshaping College Mathematics. Lynn Arthur Steen, editor. MAA Notes No. 13. Mathematical Association of America, 1989. (See Preface for an overview of CUPM reports in the 1980s.) [Alternate Local Link.]
- 1992. Heeding the Call for Change: Suggestions for Curricular Action. Lynn A. Steen, editor. MAA Notes No. 22. Mathematical Association of America, 1992. [Alternate Local Link.]

#### Universal Mathematics

- 1954.
*Universal Mathematics, Part I: Functions and Limits*. F.A.I. Bowers, Jr., R.N. Bradt, C.E. Capel, W.L. Duren, Jr., G.B. Price, W.R. Scott. University of Kansas, 1954.
- 1955.
*Universal Mathematics, Part II: Elementary Mathematics of Sets*. R.N. Bradt, C.E. Capel, W.L. Duren, Jr., J.G. Kemeny, E.J. McShane, D.R. Morrison, G.B. Price, A.L. Putnam, W.R. Scott, & A.W. Tucker. Tulane University 1955.
- 1956. Review by Herbert (H.P.) Evans of
*Universal Mathematics, Part I*. *Amer. Mathematical Monthly*, 63 (1956) 196-199.
- 1956. Report by W. L. Duren on a trial of
*Universal Mathematics, Part I*. *Amer. Mathematical Monthly*, 63 (1956) 199-202.
- 1957.
*A Freshman Honors Course in Calculus and Analytic Geometry Taught at Princeton University*. Emil Artin & George B. Seligman. Committee on the Undergraduate Program, Mathematical Association of America, 1957; University of Buffalo, 1958.
- 1958. Review of
*A Freshman Honors Course in Calculus and Analytic Geometry*. *Amer. Mathematical Monthly*, 65 (1958) 538-539.
- 1958.
*Elementary Mathematics of Sets with Applications*. R.N. Brandt & R.L. Davis. Mathematical Association of America, 1958.
- 1958.
*Modern Mathematical Methods and Models, Vol. 1: Multicomponent Methods. Dartmouth College Writing Group., 1958.*
- 1959. Review by Richard Johnson of
*Modern Mathematical Methods and Models, Vol. 1.* *Amer. Mathematical Monthly*, 66 (March, 1959) 246-247.

#### School Mathematics: Research & Policy Recommendations

- 1953. Elementary and Secondary School Training in Mathematics. S.S. Cairns.
*Amer. Mathematical Monthly*, 60:8 (Oct. 1953) 523-527.
- 1954. Mathematics in the Secondary Schools for the Exceptional Student. H.W. Brinkman.
*Amer. Mathematical Monthly*, 61:5 (May 1954) 319-323.
- 1963. Goals for School Mathematics: the Report of the Cambridge Conference on School Mathematics. Educational Services Incorporated. Boston: Houghton Mifflin, 1963.
- 1964.
*High Schools and the Changing Workplace: The Employer's View*. Panel on Secondary School Education for the Changing Workplace, Committee on Science, Engineering and Public Policy, Richard E. Heckert, chairman. Washington, DC: National Academy Press, 1964.
- 1975.
*Overview and Analysis of School Mathematics Grades K-12*. National Advisory Committee on Mathematical Education (NACOME), Shirley A. Hill, chairman. Washington, DC: Conference Board of the Mathematical Sciences, 1975.
- 1978.
*PRIME-80: Prospects in Mathematics Education in the 1980s*. Mathematical Association of America, 1978.
- 1980.
*An Agenda for Action: Recommendations for School Mathematics of the 1980s*. Reston, VA: The National Council of Teachers of Mathematics, 1980.
- 1983.
*Academic Preparation for College: What Students Need to Know and Be Able to Do.* New York, NY: The College Board, 1983.
- 1983.
*New Goals for Mathematical Sciences Education*. Washington, DC: The Conference Board of the Mathematical Sciences (CBMS), 1983.
- 1985.
*Academic Preparation in Mathematics: Teaching for Transition From High School To College.*. Jeremy Kilpatrick, editor. College Entrance Examination Board (CEEB), 1985.
- 1986.
*School Mathematics in the 1990s.* Geoffrey Howson and Bryan Wilson. ICMI Study Series, v. 2. Cambridge University Press, 1986.
- 1987. Curriculum for Grades 11-13. Joint MAA-NCTM Task Force on Curriculum for Grades 11-13, Joan Leitzel, chairman. Mathematical Association of America and National Council of Teachers of Mathematics, 1987. Reprinted with slight revisions in
*Reshaping*, pp. 91-102.
- 1987.
*The Underachieving Curriculum: Assessing US. School Mathematics from an International Perspective*. Curtis C. McKnight, *et al*. Champaign, IL: Stipes Publishing Co., 1987.
- 1989.
*Everybody Counts: A Report to the Nation on the Future of Mathematics Education*. Committee on Mathematical Sciences in the Year 2000, Mathematical Sciences Education Board (MSEB), and Board on Mathematical Sciences. National Academy Press, 1989.
- 1989.
*Curriculum and Evaluation Standards for School Mathematics*. Commission for Standards for School Mathematics. National Council of Teachers of Mathematics, 1989.
- 1991.
*America 2000: An Education Strategy*. U.S. Department of Education. U.S. Government Printing office, 1991.
- 1991.
*What Work Requires of Schools: A SCANS Report for America 2000*. THe Secretary's Commission on Achieving Necessary Skills. U.S. Department of Labor. U.S. Government Printing office, June, 1991.
- 1992.
*The Use of Calculators in the Standardized Testing of Mathematics*. John Kenelly, Editor. MAA Notes No. 12. Mathematical Association of America, 1992.

#### Basic Library Lists

- 1965.
*Basic Library List*. CUPM. January, 1965. Reprinted in *CUPM Compendium*, Vol. I, p. 1-32.
- 1965.
*Teacher Training Supplement to Basic Library List*. CUPM Panel on Teacher Training. April, 1965.
- 1971. A Basic Library List for Two-Year Colleges. CUPM. January, 1971. Reprinted in
*CUPM Compendium*, Vol. I, p. 314-367.
- 1976.
*A Basic Library List for Four-Year Colleges, Second Edition*. CUPM Subcommittee on Revision of the Basic Library List, Daniel T. Finkbeiner, chairman. MAA, 1976.
- 1980.
*A Basic Library List for Two-Year Colleges, Second Edition*. CUPM Subcommittee on Revision of the Basic Library List, Daniel T. Finkbeiner, chairman. MAA, 1980.
- 1992.
*Library Recommendations for Undergraduate Mathematics*. CUPM Subcommittee on the Basic Library List, Lynn A. Steen, chairman. MAA Reports No. 4. Mathematical Association of America, 1992.
- 1992.
*Two-Year College Mathematics Library Recommendations*. CUPM Subcommittee on the Basic Library List, Lynn A. Steen, chairman. MAA Reports No. 5. Mathematical Association of America, 1992.
- 1992.
*Mathematics Books: Recommendations for High School and Public Libraries*. CUPM Subcommittee on the Basic Library List, Lynn A. Steen, chairman. Mathematical Association of America, 1992.

#### Mathematics Courses for Literacy & Citizenship

- 1954. Freshman Mathematics as an Integral Part of Western Culture. Morris Kline.
*Amer. Mathematical Monthly*, 61:5 (May 1954) 295-306.
- 1963. College Mathematics for Non-Science Majors prepared by a special subcommittee of the California Committee for the Study of Education.
- 1971.
*A Course in Basic Mathematics for Colleges*. CUPM. January, 1971; reprinted with slight revisions in *CUPM Compendium*, Vol. I, p. 256-313.
- 1971. A Course in Basic Mathematics for Colleges.
*Amer. Mathematical Monthly*, 78:6 (June-July 1971) 703. Announcement of the recently published CUPM report.
- 1982. Minimal Mathematical Competencies for College Graduates. CUPM Panel on Minimal Mathematical Competencies of College Graduates, Donald Bushaw, chairman.
*Amer. Mathematical Monthly*, 89:4 (Apr. 1982) 266-272. A slightly revised reprint with a new preface appears in *Reshaping*, pp. 103-108.
- 1983. Mathematics Appreciation Courses; Bibliography and Reference List. CUPM Panel on Mathematics Appreciation Courses, Jerome Goldstein, chairman.
*Amer. Mathematical Monthly*, 90:1 (Jan. 1983) 44-51, C11-C20; A slightly revised reprint with a new preface and integrated bibliography appears in *Reshaping*, pp. 109-125.
- 1989.
*Fifty Hours: A Core Curriculum for College Students.* Lynne V. Cheney, Chairman. Washington, DC: National Endowment for the Humanities, 1989.
- 1992. Why Quantitative Literacy?. Donald Bushaw.
*Heeding*, pp. 95-99.
- 1992. Reaching for Quantitative Literacy. CUPM E-mail Focus Group on Quantitative Literacy, Linda Sons, moderator.
*Heeding*, pp. 95-118.

#### Calculus

- 1981. Calculus. CUPM Subpanel on Calculus, Donald Kreider, chairman. Chapter II of
*Recommendations for a General Mathematical Sciences Program*, MAA, 1981. Reprinted in *Reshaping*, pp. 19-23.
- 1987.
*Toward a Lean and Lively Calculus*. Ronald Douglas, editor. MAA Notes No. 6. Mathematical Association of America, 1987.
- 1987. Problems in Transition from High School to College Calculus. CUPM Panel on Calculus Articulation, Donald B. Small, chairman.
*Amer. Mathematical Monthly*, 94:8 (Oct. 1987) 776-785.
- 1988.
*Calculus for a New Century: A Pump, Not a Filter*. Lynn A. Steen, editor. MAA Notes No. 8. Mathematical Association of America, 1988.
- 1987. Calculus Transition: From High School to College. CUPM Panel on Calculus Articulation, Donald B. Small, chairman. CUPM, 1987; reprinted with slight revisions and a new preface in
*Reshaping*, pp. 85-90.
- 1992.
*Priming the Calculus Pump: Innovations and Resources*. CUPM Subcommittee on Calculus Reform and the First Two Years (CRAFTY), Thomas W. Tucker, Editor. MAA Notes No. 17. Mathematical Association of America, 1992.

#### Mathematics in Two Year Colleges

- 1969.
*Qualifications for Teaching University-Parallel Mathematics Courses in Two Year Colleges*. CUPM *ad hoc* Committee on the Qualifications for a Two-Year College Faculty in Mathematics. August, 1969; reprinted with slight revisions in *CUPM Compendium*, Vol. I. p. 146-157.
- 1969. A Transfer Curriculum in Mathematics for Two Year Colleges. CUPM Panel on Mathematics in Two-Year Colleges. January 1969; reprinted with slight revisions in
*CUPM Compendium*, Vol. I, p. 205-255.
- 1971.
*A Course in Basic Mathematics for Colleges*. CUPM. January, 1971; reprinted with slight revisions in *CUPM Compendium*, Vol. I, p. 256-313.
- 1971. A Basic Library List for Two-Year Colleges. CUPM. January, 1971; reprinted with slight revisions in
*CUPM Compendium*, Vol. I, p. 314-367.
- 1989.
*A Curriculum in Flux: Mathematics at Two-Year Colleges*. CUPM Subcommittee on Mathematics Curriculum at Two-Year Colleges, Ronald M. Davis, Editor. MAA Reports No. 1. Mathematical Association of America, 1989.

#### Undergraduate Mathematics Program, Curriculum, and Major

- 1953. Some Observations on Undergraduate Mathematics in American Colleges and Universities. E.A. Cameron.
*Amer. Mathematical Monthly*, 60:3 (Mar. 1953) 151-155.
- 1953. Mathematics in School and College.
*Amer. Mathematical Monthly*, 60:6 (Jun. 1953) 380-383. Extract from *General Education in School and College*, Alan R. Blackmer, editor, Harvard University Press, 1952.
- 1954. Of Course and Courses. Saunders Mac Lane.
*Amer. Mathematical Monthly*, 61:3 (Mar. 1954) 151-154.
- 1961.
*A Catalogue Survey of College Mathematics Courses*. Committee on the Undergraduate Program in Mathematics (CUPM). December, 1961.
- 1962. The CUPM Catalog Survey. R.C. Buck.
*Amer. Mathematical Monthly*, 69:4 (Oct. 1962) 304-306. Summary of the December, 1961 CUPM report.
- 1962.
*Preliminary Recommendations for an Honors Program in Mathematics*. CUPM Panel on Pregraduate Training. June, 1962.
- 1963.
*Pregraduate Preparation of Research Mathematicians*. CUPM Panel on Pregraduate Training. Committee on the Undergraduate Program in Mathematics, May, 1963; revised & reissued in 1965; reprinted with further slight revisions in *CUPM Compendium*, Vol. I, p. 369-446.
- 1964. Pregraduate Training in Mathematics--A Report of a CUPM Panel. A.B. Willcox.
*Amer. Mathematical Monthly*, 71:10 (Dec. 1964) 1117-1129.
- 1965.
*Preparation for Graduate Study in Mathematics*. CUPM Panel on Pregraduate Training, November, 1965; reprinted with slight revisions in *CUPM Compendium*, Vol. I, p. 447-457.
- 1965.
*A General Curriculum in Mathematics for Colleges*. Committee on the Undergraduate Program in Mathematics, W. L. Duren, Jr., chairman. Washington DC: Mathematical Association of America, 1965.
- 1965. A General Curriculum in Mathematics for Colleges. W.L. Duren, Jr.
*Amer. Mathematical Monthly*, 65:8 (Oct. 1965) 825-831. A summary of the full CUPM report.
- 1972.
*Commentary on "A General Curriculum in Mathematics for Colleges"*. *Ad hoc* Committee on the Revision of GCMC. CUPM. January, 1972; reprinted with slight revisions in *CUPM Compendium*, Vol. I, p. 33-97.
- 1981. Recommendations for a General Mathematical Sciences Program. CUPM Panel on a General Mathematical Sciences Program, Alan Tucker, chairman. Mathematical Association of America, 1981; reprinted with updates and minor revisions as Chapters I-VI of
*Reshaping*, pp. 1-59.
- 1981. Mathematical Sciences. CUPM Panel on a General Mathematical Sciences Program, Alan Tucker, chairman. Preface and Chapter I of
*Recommendations for a General Mathematical Sciences Program*, MAA, 1981; reprinted with new preface and minor revisions in *Reshaping*, pp. 1-17.
- 1981. Core Mathematics. CUPM Subpanel on Core Mathematics, Paul Campbell, chairman. Chapter III of
*Recommendations for a General Mathematical Sciences Program*, MAA, 1981; reprinted with updates and minor revisions in *Reshaping*, pp. 25-28.
- 1989. The Undergraduate Major in the Mathematical Sciences. CUPM Subcommittee on the Major in the Mathematical Sciences, Bettye Anne Case, chairman. Mathematical Association of America, 1989; reprinted with slight revisions in
*Heeding*, pp. 227-247.
- 1990. Challenges for College Mathematics: An Agenda for the Next Decade. Joint Task Force on Study in Depth of the MAA and AAC (the Association of American Colleges), Lynn A. Steen, chairman.
*Focus*, 10:6 (Nov.-Dec. 1990) Center Sect., p. 1-28. A slightly revised reprint appeared in *Heeding*, pp. 185-223; a summary appeared in *Liberal Learning and the Arts and Sciences Major, Vol 2: Reports from the Fields*, AAC, 1990, pp.77-95.
- 1994. Confronting the Core Curriculum: History, Goals, Models, Challenges. Lynn Arthur Steen.
*Confronting the Core Curriculum: History, Goals, Models, Challenges*, p. 3-13.
- 1998.
*Core Curriculum in Context: Considering Change in the Undergraduate Mathematics Major*. John A. Dossey, editor. MAA Notes No. 45. Mathematical Association of America, 1998.

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