# Crossroads: References

**REFERENCES**

Albers, D. J., Loftsgaarden, D. 0., Rung, D. C., & Watkins, A. E. (1992). *Statistical abstracts of undergraduate **programs in the mathematical sciences and computer science in the United Sta**t**es, **1990-91 CBMS Survey *(MAA Notes Number 23). Washington, DC: Mathematical Association of America.

American Mathematical Association of Two-Year Colleges. (1992). *Guidelines for the **ac**ad**em**ic p**re**pa**ra**tion of mathematics faculty at two-year colleges *(Report of the Qualifications Subcommittee of the Education Committee). Memphis, 'IN: Author. (Reprinted in *The AMA1YC Review, 15(1), *40-49.)

American Mathematical Association of Two-Year Colleges. (1993). *Guidelines for mathematics departments at two-y**ea, **colleges *(Report of the Two-Year College Mathematics Departments Subcommittee of the Education Committee). Memphis, TN: Author. (Reprinted in *AMA1YC NEWS, *9(1), centerpiece.)

Becker, J. R., & Pence, B. J. (1994). The teaching and learning of college mathematics: Current status and future directions. In J. J. Kaput & E. Dubinsky (Eds.), *Research issues in undergraduate mathematics learning *(pp. 5-14). Washington, DC: Mathematical Association of America.

Bookman, J. (1994, June). *Final Report: Evaluation of Project CALC 1989- 1993 (National Science Foundation grant *# *DUE *- *8953961 ). *Paper presented at the Third Conference on the Teaching of Calculus, Ann Arbor, MI.

Brophy, J., & Good, T. L. (1986). Teacher behavior and student achievement. In **M. **C. Whitrock (Ed.), *Handbook of research on teaching *(3rd ed., pp. 328-375). New York: Macmillan.

Brown, C. A., & Borko, H. (1992). Becoming a mathematics teacher. In D. A. Grouws (Ed.), *Handbook of research on mathematics teaching and learning *(pp. 209-239). New York: Macmillan.

Burrill, G., Choate, J., Phillips, E., & Westegaard, S.(Conference Organizers). (1993). *Algebra/or the twenty-first century: Proceedings of the August 1992 conference. *Reston, VA: National Council of Teachers of Mathematics.

Choppin, J.M. (1994). Spiral through recursion. *Mathematics Teacher, 87,*504-508.

Collins, T. W., Gentry, D. K., & Crawley, V. 0. (Co-Chairs). (1993). *Gaining the competitive edge: Critical issues in science and engineering technician education *(A report from a workshop sponsored by the National Science Foundation and the Federal Coordinating Council for Science, Engineering, and Technology). Washington, OC: National Science Foundation.

Crocker, D. A. (1990). What has happened to calculus reform? *The AMA1YC Review, *12(1), 62-66.

Crocker, D. A. (1991). Constructivism and mathematics education. *The AMA1YC Review, 1**3(1*), 66-*70**. *Crocker, D. A. (1992). Cooperative learning.

*The AMA1YC Review, 14(1),*78-83.

Davis, R. M. (Ed.). (1989). *A curriculum influx: Mathematics at two-year colleges *(A report of the Joint Subcommittee on Mathematics Curriculum at Two-Year Colleges). Washington, OC: Mathematical Association of America.

Demana, F. (1990). Improving college readiness through school/university articulation. In N. Fisher, H. Keynes, & P. Wagreich (Eds.), *Mathematicians and education reform: Proceedings of the July 6-8, 1988 workshop *(pp. 131-144). Providence, RI: American Mathematical Society.

Demana, F. (1994). College precalculus courses: Challenges and change. In A. Solow (Ed.), *Preparing/or a new calculus*(pp. 14-20). Washington, OC: Mathematical Association of America.

Dossey, J. A. (1991). Discrete mathematics: The math of our time. In M. J. Kenney & C. R. Hirsch (Eds.), *Discrete mathematics across the curriculum, K-12: 1991 yearbook of the National Council of Teachers of Mathematics *(pp. J-9). Reston, VA: National Council of Teachers of Mathematics.

Druckman, D., & Bjork, R. A (Eds.). (1994). *Learning, **reme**mb**e**ri**ng, believing: Enhancing human **p**er**form**an**ce**. *Committee on Techniques for the Enhancement of Human Performance, National Research Council. Washington, DC: National Academy Press.

Dunham, P.H. (1993, May). Does using calculators work? The jury is almost in. *UME Trends, *p. 8.

Dunham, P.H., & Dick, T. P. (1994). Research on graphing calculators. *Mathematics Teacher; 87, *440-445.

Eisenberg, T., & Dreyfus, T. (1994). On understanding how students learn to visualize function transformations. In E. Dubinsky, AH. Schoenfeld, & J. Kaput (Eds.), *Research **in **collegiate mathematics education I, *(pp. 45-68). Providence, RI: American Mathematical Society.

Foley, G.D. (1990). Accessing advanced concepts with technology. *The AMATYC Review, *11(2), 58-64.

Freudenthal, H. (1991). *Revisiting mathematics education**: **China lectures. *Dordrecht, The Netherlands: Kluwer.

Gardiner, A D. (1991). A cautionary note. In M. J. Kenney & C. R. Hirsch (Eds.), *Discrete mathematics across the curricul.um, K-12: 1991 yearbook of the National Council of Teachers of Mathematics *(pp. 10-17). Reston, VA: National Council of Teachers of Mathematics.

Goldblatt, A (1994, May). Undergraduate remedial mathematics: Can it be remedied? *UME Trends, *p. 7.

Goldstein, J. A (Chair). (1989). Mathematics appreciation courses. In L. A. Steen (Ed.), *Reshaping college mathematics *(109- 125). Washington, DC: Mathematical Association of America. (A reedited version of the report of the CUPM Panel on Mathematics Appreciation Courses originally published in the *American Mathematical Monthly, *Vol. 90 (1983), pp. 40- 51 and the Center Section.)

Gordon, F. S. (1995). *Assessing how well precalculus students do while *Functioning in the Real World. *PRIMUS, *5, 253-263.

Haney, B., & Testone, S. (1990). After semester workshop for developmental mathematics. *The AMATYC Review 11 *(2), 54-56.

Hart, E.W. (1991). Discrete mathematics: An exciting and necessary addition to the secondary school curriculum. In M. J.

Kenney & C.R. Hirsch (Eds.), *Discrete mathematics across the curriculum, K-12: 1991 yearbook of the National Council **of Teachers of Mathematics *(pp. 67-77). Reston, VA: National Council of Teachers of Mathematics.

Haver, W., & Turbeville, G. (1995). An appropriate culminating mathematics course. *The AMATYC Review, 16 *(2), 45-50.

Hector, J.H. (1992). Graphical insights into elementary functions. In J. T. Fey & C.R. Hirsch (Eds.), *Calculators in mathematics education *(pp. 131-137), 1992 Yearbook of the National Council of Teachers of Mathematics. Reston, VA: National Council of Teachers of Mathematics

Hiebert, J., & Carpenter, T. P. (1992). Learning and teaching with understanding. In D. A. Grouws *(Ed.),Handbook of research on mathematics teaching and Learning *(pp. 65-97). New York: Macmillan.

Keith, S.Z., & Leitz.el, J. R. C. (1994, May). General education mathematics: A new challenge for departments. *UME Trends, *6-7.

Leitzel, J. R. C. (Ed.). (1991). *A call for change: Recommendations for the mathematical preparation of teachers of mathematics. *Washington, DC: Mathematical Association of America.

Madison, B. L. (Chair). (1995). Assessment of student learning for improving the undergraduate major in mathematics. (Prepared by the Mathematical Association of America Subcommittee on Assessment of the Committee on the Undergraduate Programs in Mathematics). *Focus, 15 *(3), 24-28.

Mathematical Association of America. (1993). *G**uidelines for programs and d**e**pa**rtm**ents **i**n **u**ndergraduate **mat**hematical **sciences. *Washington, DC: Author.

Mathematical Sciences Education Board. (1990). *Reshaping school mathematics. *Washington, DC: National Academy Press.

Mathematical Sciences Education Board. (1991). *For good measure. *(Report of the National Summit on Mathematics Assessment). Washington, DC: National Academy Press.

Mathematical Sciences Education Board. (1993). *M**e**as**uring up**. *Washington, DC: National Academy Press.

Megginson, R. E. (1994). A gateway testing program at the University of Michigan. In A. Solow (Ed.), *Preparing fora new calculus *(pp. 85-88). Washington, DC: Mathematical Association of America.

Mesterson-Gibbons, M. (1989). *A concrete approach to mathematical modeling**. *Reading, MA: Addison-Wesley.

Moore, C.C. (Chair). (1994). *Recognition and rewards in the mathematical sciences. *(Report of the Joint Policy Board for Mathematics Committee on Professional Recognition and Rewards). Providence, RI: American Mathematical Society.

National Council of Teachers of Mathematics. (1989). *Curriculum and evaluation standards for school mathematics. *Reston, VA: Author.

National Council of Teachers of Mathematics. (1991). *Professional standards for teaching mathematics**. *Reston, VA: Author.

National Council of Teachers of Mathematics. (1995). *Assessment standards for school mathematics**. *Reston, VA: Author.

National Research Council. (1989). *Everybody counts**. *Washington, DC: National Academy Press.

National Research Council. (1990). *A challenge of numbers**. *Washington, DC: National Academy Press.

National Research Council. (1991). *Moving beyond myths: Revitalizing undergraduate mathematics. *Washington, DC: National Academy Press.

National Science Foundation. (1991). *Matching actions and challenges: Report of a National Science Foundation workshop on science, engineering and mathematics education in two-year colleges. *Washington, DC: Author.

National Science Foundation. (1992). *Partners in progress: Report of a National Science Foundation workshop on the role of professional societies in science, technology, engineering, and mathematics education in two-year colleges**. *Washington, DC: Author.

Pollak, H. (I 987, May). Presentation at the Mathematical Sciences Education Board Frameworks Conference, Minneapolis, MN. Reich, R. P. (1993). Strategies for a changing workforce. *Educational Record**, **74 *(4), 22-23.

Resnick. L.B. (1989). Introduction. In L.B. Resnick (Ed.), *Knowing**, **learning **and **instruction: Essays in honor of Robert Glaser(pp. *1-24). Hillsdale, NJ: Lawrence Erlbaum.

Resnick, L. B., & Klopfer. L. E. (1989). Toward the thinking curriculum: An overview. In L. B. Resnick & L. E. Klopfer (Eds.), *Toward the thinking curriculum: Current Cognitive Research *(pp. 1-18). (1989 Yearbook of the American Society for Curriculum Development). Washington, DC: American Society for Curriculum Development.

Ross, S. C. (Ed.). (1994, January). NSF Beat: $2.1 million in NSF calculus grants. *UME Trends, *pp. 1, 10, and 15.

Schoenfeld, A.H. (1992). Learning to think mathematically: Problem solving, metacognition, and sense making in mathematics. In D. A. Grouws (Ed.), *Handbook of research on mathematics teaching **and **learning *(pp. 334-370). New York: Macmillan.

Secada, W. G. (1992). Race, ethnicity, social class, language, and achievement in mathematics. In D. A. Grouws (Ed.), *Handbook*

*on research in mathematics education*(pp. 623-660). New York: Macmillan.

Secretary's Commission on Achieving Necessary Skills. (1991). *What work requires of schools**: **A SCANS report for **Ame**rica*Washington, DC: U.S. Department of Labor.

Secretary's Commission on Achieving Necessary Skills. (1993). *Teaching the SCANS competencies. *Washington, DC: U.S. Department of Labor.

Selden, A., & Selden, J. (1994, March). Mathematics education displays breadth in Cincinnati. *UME Trends, *pp. 4-5.

Shoaf-Grubbs, M. M. (1994). The effect of the graphing calculator on female students' spatial visualization skills and level-of understanding in elementary graphing and algebra concepts. In E. Dubinsky, A. H. Schoenfeld, & J. Kaput (Eds.), *Research in collegiate mathematics education, I *(pp. 169-194). Providence, RI: American Mathematical Society.

Shupe, J. F. (Project Director & Chief Cartographer), Dorr, J. F. (Art Director), Payne, 0. G. A. M**. **(Text Ed.), Hunsiker, M. B. (Chief, Map Research) et al. (1992). *National Geographic atlas of the world *(rev. 6th ed.). Washington, DC: National Geographic Society.

Siegel, M. J. (Chair). (1989). Discrete mathematics. In L.A. Steen (F.cl.), *Reshaping college mathematics *(pp. 61-84). Washington, DC: Mathematical Association of America (A re-edited 1986 committee report of the Mathematical Association of America ad hoc Committee on Discrete Mathematics.)

Silver, E. A. (1994). Mathematics thinking and reasoning for all students: Moving from rhetoric to reality. In D. F. Robitaille, D. H. Wheeler, & C. Kieran (Eds.), *Selected lectures from the 7th International Congress on Mathematical Education *(pp. 311-326). Sainte-Foy, Quebec, Canada: Les Presses de l'Universite Laval.

Solow, A. (Ed.). (1994). *Preparing for a **new **calculus**. *Washington, DC: Mathematical Association of America.

Sons, L. R. (Chair). (1995). *Quantitative reasoning for college graduates: A complement to the Standards. *(Report of the CUPM Subcommittee on Quantitative Literacy). Washington, DC: Mathematical Association of America.

Steen, L.A. {Ed.). (1989). *Reshaping college mathematics. *Washington, DC: Mathematical Association of America.

Steen, L.A. (1990). Pattern. In L.A. Steen (F.cl.), *On the shoulders of giants *(pp. 1-10). Washington, DC: National Academy Press.

Steinberg, R., Haymore, J., & Marks, R. (1985). *Teachers' knowledge **and **structuring content in mathematics. *Paper presented at the annual meeting of the American Educational Research Association, Chicago.

Stevens, J. (1993). Generating and analyzing data. *Mathematics Teacher, 86,*475-487.

Swetz, F. (1991). Incorporating mathematical modeling into the curriculum. *Mathematics Teacher, 84, *358-365.

Tidmore, G. (1994, June). *A comparison of calculus materials used at Baylor University. *Paper presented at the Third Conference on the Teaching of Calculus, Ann Arbor, MI.

Thompson, P. W. (1994). Students, functions, and the undergraduate curriculum. In E. Dubinsky, A.H.Schoenfeld, & J. Kaput (Eds.), *Research in collegiate mathematics education I *(pp. 21-44). Providence, RI: American Mathematical Society.

Treisman, U. (1992). Studying students studying calculus: A look at the lives of minority mathematics students in college (a Mary P. Dolciani lecture). *College Mathematics Journal, 23, *362-372.

Tucker, A. C., & Leitzel, J. R. C. (1994). *Assessing calculus reform efforts. *Washington, DC: Mathematical Association of America.

U.S. Department of Education. (1990, July). *National goals for education. *Washington, DC: U.S. Government Printing Office.

Van Sertima, I. (Ed.). (1989). *Blacks in science, ancient **and **modem. *New Brunswick, NJ: Transaction Books.

Zaslavsky, C. (1994). *Fear of math. *New Brunswick, NJ: Rutgers University Press.