Calculus for a New Century: A Pump, Not a Filter. Papers Presented at a Colloquium (Washington, D.C., October 28-29, 1987). MAA Notes Number 8

Front Cover Calculus for a New Century: A Pump, Not a Filter Copyright Page Contents Preface Introduction Part 1: Colloquium Section 1. Plenary Presentations Chapter 1. Calculus for a New Century Chapter 2. Castles in the Sand Chapter 3. Calculus of Reality Chapter 4. Calculus Today Chapter 5. Calculus Tomorrow Section 2. Views from Client Disciplines Chapter 6. Views from Client Disciplines Chapter 7. Calculus for Engineering Practice Chapter 8. Calculus in the Biological Sciences Chapter 9. Calculus for Management: A Case Study Chapter 10. Calculus and Computer Science Chapter 11. Calculus for the Physical Sciences Section 3. Views from Across Campus Chapter 12. A Chancellor's Challenge Chapter 13. National Needs Chapter 14. Now is Your Chance Chapter 15. Involvement in Calculus Learning Chapter 16. Calculus in the Core of Liberal Education Part 2: Responses Chapter 17. Mathematics as a Client Discipline Chapter 18. Calculus and the Computer in the 1990's Chapter 19. The Role of the Calculator Industry Chapter 20. Calculus: Changes for the Better Chapter 21. Imperatives for High School Mathematics Chapter 22. An Effective Class Size for Calculus Chapter 23. Don't! Chapter 24. Evolution in the Teaching of Calculus Chapter 25. Collective Dreaming or Collaborative Planning Chapter 26. Calculus—A Call to Arms Chapter 27. Surprises Chapter 28. Calculus for a Purpose Chapter 29. Yes, Virginia ... Part 3: Reports Chapter 30. Calculus for Physical Sciences Chapter 31. Calculus for Engineering Students Chapter 32. Calculus for the Life Sciences Chapter 33. Calculus for Business and Social Science Students Chapter 34. Calculus for Computing Science Students Chapter 35. Encouraging Success by Minority Students Chapter 36. Role of Teaching Assistants Chapter 37. Computer Algebra Systems Chapter 38. Objectives, Teaching, and Assessment Part 4: Issues Section 4. Innovation Chapter 39. Calculus Reform: Is it Needed? Is it Possible? Chapter 40. Recent Innovations in Calculus Instruction Section 5. Science, Engineering, and Business Chapter 41. Calculus for Engineering Chapter 42. The Coming Revolution in Physics Instruction Chapter 43. Calculus in the Undergraduate Business Curriculum Chapter 44. Calculus for the Biological Sciences Section 6. Teaching and Learning Chapter 45. The Matter of Assessment Chapter 46. Calculus Reform and Women Undergraduates Chapter 47. Calculus Success for All Students Chapter 48. The Role of Placement Testing Section 7. Institutional Concerns Chapter 49. Calculus from an Administrative Perspective Chapter 50. Innovation in Calculus Textbooks Chapter 51. Perspective from High Schools Chapter 52. A Two-Year College Perspective Chapter 53. Calculus in a Large University Environment Section 8. Mathematical Sciences Chapter 54. A Calculus Curriculum for the Nineties Chapter 55. Computers and Calculus: The Second Stage Chapter 56. Present Problems and Future Prospects Part 5: Examinations Chapter 57. Final Examinations for Calculus I Chapter 58. Final Examinations for Calculus II Chapter 59. Final Examinations for Calculus III Part 6: Readings Chapter 60. A Special Calculus Survey: Preliminary Report Chapter 61. Two Proposals for Calculus Chapter 62. Calculus in Secondary Schools Chapter 63. Calculators in Standardized Testing of Mathematics Chapter 64. NSF Workshop on Undergraduate Mathematics Chapter 65. Transition from High School to College Calculus Chapter 66. Calculators with a College Education? Chapter 67. Who Still Does Math with Paper and Pencil? Chapter 68. Computing in Undergraduate Mathematics Part 7: Participants Chapter 69. Calculus for a New Century: Participant List Back Cover This document, intended as a resource for calculus reform, contains 75 separate contributions, comprising a very diverse set of opinions about the shape of calculus for a new century. The authors agree on the forces that are reshaping calculus, but disagree on how to respond to these forces. They agree that the current course is not satisfactory, yet disagree about new content emphases. They agree that the neglect of teaching must be repaired, but do not agree on the most promising avenues for improvement. The document contains: (1) a record of presentations prepared for a colloquium; (2) a collage of reactions to the colloquium by a variety of individuals representing diverse calculus constituencies; (3) summaries of 16 discussion groups that elaborate on particular themes of importance to reform efforts; (4) a series of background papers providing context for the calculus colloquium; (5) a selection of final examinations from Calculus I, II, and III from universities, colleges, and two-year colleges around the country; (6) a collection of reprints of documents related to calculus; and (7) a list of colloquium participants. (PK) Edited By Lynn Arthur Steen For The Board On Mathematical Sciences, And The Mathematical Sciences Education Board Of The National Research Council. Sponsored By The National Academy Of Sciences And The National Academy Of Engineering--pref. Conducted By The National Research Council In Collaboration With The Mathematical Association Of America, The Colloquium Is A Part Of Mathematical Sciences In The Year 2000 (ms 2000), A Joint Project Of The Board On Mathematical Sciences And The Mathematical Sciences Education Board--pref. Includes Bibliographies.