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# The Founding of CUPM 1958-1978: Part II

#### 1960-61

- Recommendations of the Mathematical Association of America for the Training of Teachers of Mathematics. CUPM Panel on Teacher Training.
*Amer. Mathematical Monthly*, 67:10 (Dec. 1960) 982-991.
*Recommendations for the Training of Teachers of Mathematics*. CUPM Panel on Teacher Training. January 1961.
*Course Guides for Training of Teachers of Elementary School Mathematics*. CUPM Panel on Teacher Training. June, 1961.
*Course Guides for the Training of Teachers of Junior High and High School Mathematics*. CUPM Panel on Teacher Training. June, 1961.
*A Catalogue Survey of College Mathematics Courses*. Committee on the Undergraduate Program in Mathematics (CUPM). December, 1961.
*Mathematics and Engineering*. CUPM Panel on Mathematics for the Physical Sciences and Engineering, December, 1961.

#### 1962-63

*Recommendations on the Undergraduate Mathematics Program for Engineers and Physicists*. CUPM Panel on Mathematics for the Physical Sciences and Engineering. January, 1962.
*Preliminary Recommendations for an Honors Program in Mathematics*. CUPM Panel on Pregraduate Training. June, 1962.
- The CUPM Catalog Survey. R.C. Buck.
*Amer. Mathematical Monthly*, 69:4 (Oct. 1962) 304-306. Summary of the December, 1961 CUPM report.
*Pregraduate Preparation of Research Mathematicians*. CUPM Panel on Pregraduate Training. Committee on the Undergraduate Program in Mathematics, May, 1963. "Idealized" recommendations for motivated and well-prepared students, followed by detailed course outlines for two years of "vector space calculus" followed by advanced courses in algebra, analysis, geometry, topology, and probability, with optional excursions into mathematical physics, game theory, mathematical logic, statistics, and number theory.
*Training of Teachers of Elementary School Mathematics*. B. Hardgrove. *Amer. Mathematical Monthly*, 70:8 (Oct. 1963) 870-877.

#### 1964-65

*Tentative Recommendations for the Undergraduate Mathematics Program for Students in the Biological, Management, and Social Sciences*. CUPM Panel on Mathematics for the Biological, Management, and Social Sciences. January, 1964.
*Recommendations on the Undergraduate Mathematics Program for Work in Computing*. CUPM Panel on Computing. May, 1964.
- Pregraduate Training in Mathematics--A Report of a CUPM Panel. A.B. Willcox.
*Amer. Mathematical Monthly*, 71:10 (Dec. 1964) 1117-1129.
*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. Subtitled "A Report to the Mathematical Association of America," this seminal "GCMC" report proposed "an economical list" of courses which can be taught by a faculty of four and from which a "multiplicity of individual student programs can be constructed."
*Basic Library List*. CUPM. January, 1965. One of the most favorably received projects of CUPM, this list comprises a nucleus of library holdings designed "to serve the essential needs of students and faculty in four-year colleges."
*Teacher Training Supplement to Basic Library List*. CUPM Panel on Teacher Training. April, 1965.
- A General Curriculum in Mathematics for Colleges. W.L. Duren, Jr.
*Amer. Mathematical Monthly*, 72:8 (Oct. 1965) 825-831. A summary of the full 76 pp. GCMC report.
*Preparation for Graduate Study in Mathematics*. CUPM Panel on Pregraduate Training, November, 1965. "Interim guidance" taking into account (as the Panel's idealized 1963 report does not) students' "possible deficiencies in preparation or tardiness in selecting a goal," "inadequacies of staff", or "lack of suitable textbooks." Building on the GCMC report, the Panel here firms up the pattern of one year of real analysis and one year of abstract algebra which came to dominate mathematics majors for the next two decades.
*Mathematics Text Materials for the Undergraduate Preparation of Elementary School Teachers*. CUPM Panel on Teacher Training. November, 1965.
*Recommendations on the Undergraduate Mathematics Program for Engineers and Physicists*. CUPM Panel on Mathematics for the Physical Sciences and Engineering. 1965. Slightly revised reprint of the 1962 original.
*The Pregraduate Preparation of Research Mathematicians*. CUPM. 1965. A reprint of the 1963 report with some added commentary to clarify misunderstandings about the Panel's assumptions.

#### 1966-67

*Calculus and the Computer Revolution*. Richard W. Hamming. Berkeley, CA: Committee on the Undergraduate Program in Mathematics, 1966.
*The Numerical Integration of Ordinary Differential Equations*. Thomas E. Hull. Berkeley, CA: Committee on the Undergraduate Program in Mathematics, 1966.
*A Curriculum in Applied Mathematics, 1966*. CUPM *ad hoc* Subcommittee on Applied Mathematics, R. D. Anderson, chairman. Berkeley, CA: Committee on the Undergraduate Program in Mathematics, 1966.
*Mathematical Engineering—A Five–Year Program*. CUPM Panel on Mathematics for the Physical Sciences and Engineering, October, 1966. Motivated by the sophisticated mathematical analysis required for America's space program, this report—based on extensive conversations with leaders of NASA and the space industry—proposed a five-year program to train "mathematical engineers." Includes options for concentrations in three areas of special importance to the space program: operations research, orbital mechanics, and control theory.
*Recommendations for the Training of Teachers of Mathematics*. CUPM Panel on Teacher Training. December, 1966. Minor revisions in the 1961 report of the panel.
- CUPM, The History of an Idea. W.L. Duren, Jr.
*Amer. Mathematical Monthly*, 74:1 Part 2 (Jan. 1967) 23-37. One of several historical studies published in the *Monthly*'s Fiftieth Anniversary supplement. After reviewing the history of collegiate mathematics in the United States in the first half of the twentieth century, Duren gives a detailed account of the origins and history of CUP, its transformations into CUPM, and the work of its major panels. An appendix provides information on the members of CUPM and its panels.
*Recommendations on the Undergraduate Mathematics Program for Engineers and Physicists (Revised)*. CUPM Panel on Mathematics for the Physical Sciences and Engineering. January, 1967. A revision of the 1962 and 1965 versions.
*Qualifications for a College Faculty in Mathematics*. CUPM *ad hoc* Committee on the Qualifications of College Teachers of Mathematics. January, 1967. Written at a time of major shortage of Ph.D graduates in mathematics, this report outlines the post-B.A, pre-Ph.D. preparation required to teach courses proposed in CUPM's GCMC report, as well as the distribution of training within a department that would be required to teach the full range of these GCMC courses. The report stresses that "continued intellectual and professional growth is essential to continued competence as a teacher. One needs to move forward in order not to fall behind."

#### 1968-69

*Course Guides for the Training of Teachers of Elementary School Mathematics, 1968*. CUPM Panel on Teacher Training. 1968. A minor revision of the influential 1963 Course Guides report from the Panel on Teacher Training serving as an intermediate step to a more thorough revision.
*A Beginning Graduate Program in Mathematics for Prospective Teachers of Undergraduates*. CUPM Graduate Task Force. February, 1969. Based on data that the bulk of undergraduate mathematics teaching is done by individuals without a Ph. D., this report offers suggestions for arranging the early years of the graduate program in mathematics to provide both an appropriate background for effective college teaching and the opportunity for unretarded progress towards the Ph.D. (In retrospect, we note that the undersupply of Ph.D.s changed dramatically in just a few years after this report was written.)
*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. At a time of rapid increase in transfer enrollments in two-year colleges, the degree "most commonly held by mathematics teachers in these colleges"—the master's—is, according to this committee, "of such varying quality that it is scarcely useful as a measure of qualification for appointment, promotion, or tenure." Accordingly, this report offers recommendations for the substance of mathematical training required to teach the first part of the GCMC program "which are independent of degrees held or of credit hours earned."
- A Transfer Curriculum in Mathematics for Two Year Colleges. CUPM Panel on Mathematics in Two-Year Colleges. January, 1969. A response by CUPM to the extraordinary growth in number and diversity of two-year colleges ("new institutions are being added at the rate of one each week") with a corresponding broad range of academic backgrounds among newly recruited faculty. Although these institutions offer a variety of programs, this CUPM report addresses only the transfer curriculum since it is "offered at almost all two-year colleges [and] local variations are least in this area."

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