Abstract
Pop quiz: Who wrote this and when?
It is to be hoped that the near future will bring reforms in the mathematical teaching in this country. We are in sad need of them. From nearly all of our colleges and universities comes the loud complaint of inefficient preparation on the part of students applying for admission; from the high schools comes the same doleful cry. Educators who have studied the work of [foreign] schools declare that our results in elementary iristruction are far inferior.
This is a somewhat expanded version of a paper with a similar title first published in Documenta Mathematica, Extra Volume ICM 1998 III, pp. 777–786. The previously published version is available at http://www.math.uiuc.edu/documenta/xvol-icm/18/Smith.MANItml. I thank the many colleagues who have written thoughtful commentaries on that version, especially Mark Bridger, Murray Eisenberg, Cathy Kessel, Michael Livshits, Richard Mercer, David Olson, Susan Pustejovsky, Nell Raybum, Lynne Small, Lynn Steen, and Tina Straley. If their suggestions are not yet fully implemented, that is not because I reject their opinions but rather because I still have a lot to learn about the subject treated here.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
F. Cajori, The Teaching and History of Mathematics in the United States,1890. Cited by W Mueller in “The History of Calculus Reform,” to appear.
A. W Chickering and Z. F. Gamson (eds.), Applying the Seven Principles of Good Practice in Undergraduate Education, in New Directions for Teaching and Learning No. 47 ( Jossey—Bass, San Francisco, 1991 ).
A. H. Schoenfeld, “When Good Teaching Leads to Bad Results: The Disasters of ‘Well-Taught’ Mathematics Courses,” Educational Psychologist 23 (1988): 145–166.
A. Solow (ed.), Preparing for a New Calculus, MAA Notes No. 36 ( Mathematical Association of America, Washington, DC, 1994 ).
A. C. Tucker and J. R. C. Leitzel (eds.), Assessing Calculus Reform Efforts ( Mathematical Association of America, Washington, DC, 1995 ).
A. W. Roberts (ed.), Calculus: The Dynamics of Change, MAA Notes No. 39 ( Mathematical Association of America, Washington, DC, 1996 ).
A. P. Camevale, L. J. Gainer, and A. S. Meltzer, Workplace Basics: The Skills Employers Want (The American Society for Training and Development and the U.S. Department of Labor, Washington, DC, 1988 ).
Alverno Magazine, May 1992. Also see “Alvemo’s Eight Abilities” ( Milwaukee, WI, March 17, 1999 ), http://www.alverno.edu/glance/g.glance/g_eightabilities.html.
Evergreen State College, “We believe” (Olympia, WA, October 5, 1998), http:// 192.211.16.12/home.ssi.
R. E. Boyatzis, S. S. Cowen, and D. A. Kolb, Innovation in Professional Education: Steps on a Journey from Teaching to Learning ( Jossey-Bass, San Francisco, 1995 ).
Accreditation Board for Engineering and Technology, ABET Engineering Criteria 2000 (Baltimore, February 22, 1999), http://www.abet.org/eac/EAC_99–00_Criteria.htm#EC2000.
Pew Higher Education Roundtable, “A Teachable Moment,” Policy Perspectives 8(1)(June 1998):1–10 (Institute for Research on Higher Education, Philadelphia).
R. M. Diamond, “Broad Curriculum Reform is Needed if Students are to Master Core Skills,” The Chronicle of Higher Education (August 1, 1997 ): B7.
R. M. Diamond, Designing and Assessing Courses and Curricula ( Jossey-Bass, San Francisco, 1997 ).
D. A. Kolb, I. M. Rubin, and J. M. McIntyre (eds.), Organizational Psychology: Readings on Human Behavior in Organizations, 4th ed. ( Prentice-Hall, Englewood Cliffs, NJ, 1984 ).
J. E. Zull, “The Brain, The Body, Learning, and Teaching,” National Teaching & Learning Forum 7 (3) (1998): 1–5.
M. S. Gazzaniga, Nature’s Mind: The Biological Roots of Thinking, Emotions, Sexuality, Language, and Intelligence ( Basic Books, New York, 1992 ).
J. LeDoux, The Emotional Brain: The Mysterious Underpinnings of Emotional Life ( Simon & Schuster, New York, 1996 ).
C. Hannaford, Smart Moves: Why Learning is Not All in Your Head ( Great Ocean Publishers, Arlington, VA, 1995 ).
A. R. Damasio, Descartes’ Error: Emotion, Reason, and the Human Brain, ( Putnam’s Sons, New York, 1994 ).
G. M. Edelman, Bright Air, Brilliant Fire: On the Matter of the Mind ( Basic Books, New York, 1992 ).
R. Sylwester, A Celebration of Neurons: An Educator’s Guide to the Human Brain ( Association for Supervision and Curriculum Development, Alexandria, VA, 1995 ).
G. Harel, “Two Dual Assertions: The First on Learning and the Second on Teaching (or Vice Versa),” American Mathematical Monthly 105(1998):497–507.
D. A. Smith and L. C. Moore, Calculus: Modeling and Application ( Houghton Mifflin, Boston, 1996 ).
N. L. Hagelgans, B. E. Reynolds, K. E. Schwingendorf, D. Vidakovic, E. Dubinsky, M. Shahin, and G. J. Wimbish, Jr., A Practical Guide to Cooperative Learning in Collegiate Mathematics, MAA Notes No. 37 ( Mathematical Association of America, Washington, DC, 1995 ).
J. Bookman and C. P. Friedman, “Student Attitudes and Calculus Reform,” School Science and
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2000 Springer Science+Business Media New York
About this chapter
Cite this chapter
Smith, D.A. (2000). Renewal in Collegiate Mathematics Education. In: Ganter, S.L. (eds) Calculus Renewal. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-4698-3_3
Download citation
DOI: https://doi.org/10.1007/978-1-4757-4698-3_3
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4419-3334-8
Online ISBN: 978-1-4757-4698-3
eBook Packages: Springer Book Archive