Curriculum Vitae

ANNIE SELDEN

Ph.D. Clarkson University 1974
M.A. Yale University 1962
B.A. Oberlin College 1959

Research interests within mathematics education: mathematical reasoning and problem solving, logic, definition, proof, validation, teachers' knowledge and beliefs.

home page, personal page, Mathematics Department, Tenn. Tech. U., MAA Online.



EMPLOYMENT HISTORY

RESEARCH AND PUBLICATIONS

In Progress:

  1. A paper (with J. Selden), "Where's the Theorem? Where's the Proof? An Analysis of Why Math Ed Research Papers Get Rejected" was presented at the RUMEC Conference on Research in Undergraduate Mathematics Education in South Bend, September 1998 and is being prepared for publication.
  2. A paper, "Do Calculus Students Eventually Learn to Solve Non-routine Problems?" (with J. Selden, S. Hauk, and A. Mason), on students' ability to solve nonroutine problems involving differential calculus at the end of the traditional 2-year calculus-differential equations sequence for engineering/science students. Draft version available. To be presented at the ARUME Paper Session, AMS/MAA Annual Meeting, San Antonio, January 1999.
  3. A study (with J. Selden) of mid-level math majors' attempts at proof validation. A preliminary report, "Math majors' attempts at proof validation," was presented at the AMS/MAA Special Session on Research in Undergraduate Mathematics Education, AMS/MAA Annual Meeting in Baltimore, January 1998.
  4. A study (with J. Selden) of college mathematics teachers' views of mathematics. A preliminary report, "Mathematicians' views of mathematics," was presented at the AMS/MAA Special Session on Research in Undergraduate Mathematics Education, AMS/MAA Annual Meeting in San Diego, January 1997.
  5. A study (with J. Selden) of the structure of student proofs.

Collegiate Mathematics Education:

  1. "Questions regarding the teaching and learning of undergraduate mathematics (and research thereon)" (with J. Selden). In A. H. Schoenfeld, J. Kaput, and E. Dubinsky (Eds.), Research in Collegiate Mathematics Education, III, CBMS Series Issues in Mathematics Eduction Vol. 7, 1998, 308-313.
  2. "The role of logic in the validation of mathematical proofs" (with J. Selden), presented at the DIMACS Symposium on Teaching Logic and Reasoning, Rutgers University, 25--26 July 1996.
  3. "Unpacking the logic of mathematical statements" (with J. Selden), Educational Studies in Mathematics 29 (1995), 123-151.
  4. "What is mathematics education research?" (with J. Selden). In B.A. Case (ed.), "You're the Professor, What Next?", MAA Notes No. 35, 1994, 138-141.
  5. "Even good calculus students can't solve nonroutine problems" (with J. Selden and A. Mason). In J. Kaput and E. Dubinsky (Eds.), Research Issues in Undergraduate Mathematics Learning: Preliminary Analyses and Results, MAA Notes No. 33, 1994, 19-26.
  6. "Collegiate mathematics education research: What would that be like?" (with J. Selden), The College Mathematics Journal 24 (1993), 431-445.
  7. "Research perspectives on conceptions of function: Summary and overview" (with J. Selden). In G. Harel and E. Dubinsky (Eds.), The Concept of Function: Aspects of Epistemology and Pedagogy, MAA Notes Vol. 25, 1992, 1-16.
  8. "How undergraduates learn to read, write, and create proofs" (with J. Selden), discussion paper for the AMT Working Group, PME-14, Mexico, July 1990.
  9. "The HP-28S, calculus, and programming"(with J. Selden, R. Weems, M. Morrison, and S. Yeager), Proceedings of the 2nd Annual Ohio State University Conference on Technology in Collegiate Mathematics, Addison-Wesley (1990), 283-286.
  10. "Can average calculus students solve nonroutine problems?" (with J. Selden and A. Mason), The Journal of Mathematical Behavior, 8(1989), 45-50.
  11. "Graphing with the HP-28S"(with J. Selden). The College Mathematics Journal, 20 (1989), 424-433.
  12. "Using technology to implement a constructivist approach to calculus and abstract algebra" (with J. Selden), Proceedings of the 1st Annual Ohio State University Conference on Technology in Collegiate Mathematics, Addison-Wesley, (1989), 239-242.
  13. "Errors and misconceptions in college level theorem proving" (with J. Selden), Proceedings of the Second International Seminar on Misconceptions and Educational Strategies in Science and Mathematics, Cornell University, July 1987, 457-470.
  14. "Teaching the doing of mathematics," The Journal of the Mathematical Association of Nigeria, Extra-ordinary issue, September 1981, 41-53.
  15. "Errors students make in mathematical reasoning" (with J. Selden), Bosphorus University Journal, 6(1978), 67-87.

Mathematics:

  1. "The continuous extended bicyclic semigroup" (with J. Selden). Report presented at Oberwolfach Mathematical Research Institute, Conference on the Analytical and Topological Theory of Semigroups, January 29 - February 4, 1989.
  2. "A nonlocally compact nondiscrete topology for the alpha-bicyclic semigroup," Semigroup Forum, 31(1985), 372-374.
  3. "The kernel of the determining endomorphism of a bisimple omega-semigroup," Semigroup Forum, 14(1977), 265-271.
  4. "On the closure of bisimple omega-semigroups," Semigroup Forum, 12(1976), 373-379.
  5. "Bisimple omega-semigroups in the locally compact setting," Bosphorus University Journal, 3(1975), 15-77.

Other Professional Publications:

  1. "Enthusiasm for Research in Collegiate Mathematics Education Grows" (with J. Selden), Focus, February 1997, Vol. 17, No. 1, 1&3.
  2. "Subgroup 3: Calculus for non-specialists" (with J. Selden). In C. Gaulin, B. R. Hodgson, D. H. Wheeler, J. C. Egsgard (eds.), Proceedings of the 7th International Congress on Mathematical Education, Les Presses de l'Universite Laval, Sainte-Foy, 1994, 116-117. Also, a report in Proceedings of Working Group 3 on Students Difficulties in Calculus, M. Artigue and G. Ervynck (eds.), pp. 63-65.
  3. "Is Underrepresentation of Women in the Mathematical Sciences a Problem?", invited piece for the Forum Section, Mathematics in College, 1993, 86-87.
  4. Review of "Advanced Mathematical Thinking" by Tommy Dreyfus, et al, in Mathematics and Cognition: A Research Synthesis by the International Working Group for the Psychology of Mathematics Education, Cambridge University Press, 1990. In The College Mathematics Journal, 22 (1991), 268.

GRANTS AWARDED

RECOGNITION AND AWARDS

PROFESSIONAL ACTIVITIES

Editorial Work and Refereeing

Invited Speaker/Organizer/Consultant

Professional Memberships

National Committee Memberships

University Committee Memberships

Professional Development Workshops Attended

TEACHING

ADDRESS:


home page, personal page, Mathematics Department, Tenn. Tech. U., MAA Online.


APPENDIX

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Research Sampler columns and news/feature articles

These columns and articles appear in the Teaching and Learning section of MAA Online (1996 - ) and in UME Trends (1989 - 96).

Research Sampler columns

  1. "The Role of Examples in Learning Mathematics, " MAA Online, February 1998.
  2. "What Does it take to be an Expert Problem Solver?", MAA Online, September 1997.
  3. "Preservice Teachers' Conceptions of Mathematics and How to Teach it," MAA Online, June 1997.
  4. "Should Mathematicians and Mathematics Educators be Listening to Cognitive Psychologists?", MAA Online , February 1997.
  5. "Of What Does Mathematical Knowledge Consist?", MAA Online, November 1996.
  6. "A Look Back," "Undergraduate Solving Nonroutine Calculus Problems," and "Connecting a Theorem's Statement to its Proof," UME Trends, Vol. 6, No. 6, January 1996, 13-14.
  7. "A Covariation Approach to Function -- The Exponential" and "Irrelevant Illustrations in U.S. Math Texts," UME Trends, Vol. 6, No. 4, September 1995, 7&9.
  8. "Research on Learning Styles is Equivocal," "Students' Beliefs about Mathematics and Its teaching," "Learning Group Theory Concepts," and "The Transition to Formal Proof," UME Trends, Vol. 7, No. 2, May 1995, 6-7.
  9. "CRUME's First Volume--What Will Mathematicians Think?", UME Trends, Vol. 6, No. 6, January 1995, 22-23.
  10. "When is Small Group Learning Effective?", UME Trends, Vol. 6, No. 4, September 1994, 14-15.
  11. "Vygotskian Perspectives," UME Trends, Vol. 5, No. 6, January 1994, 6-7.
  12. "Nonverbal Learning Disability or Misconceptions?" and "Dealing with Change from an Early Age," UME Trends, Vol. 5, No. 4, September 1993, 12-13.
  13. " Probability Redux," UME Trends, Vol. 5, No. 2, May 1993, 14-15.
  14. "Update on the Students-and-Professors Problem," "Actually, There Are More Rectangles Than Squares," and "Finding Inverses of Products," UME Trends, Vol. 4, No. 6, January 1993, 6.
  15. "The Diversity of Knowing" and "Personal Teaching Styles Resist Change," UME Trends, Vol. 4, No. 4, October 1992, 6.
  16. "Now it's Reading to Learn Mathematics," "What's the Effect of Taking High School Calculus?", and "What Does it Mean to be Random?", UME Trends, Vol. 4, No. 2, May 1992, 6.
  17. "Are We in the Business of Changing Students' Beliefs About Mathematics?" and "What Kind of Talk is Effective for Learning Mathematics in Small Groups?", UME Trends, Vol. 3, No. 6, January 1992, 6.
  18. "What's a Microworld?" and "Diagram Drawing Competencies," UME Trends, Vol. 3, No. 4, October 1991, 6.
  19. "Metacognition and Problem Solving" and "Concepts Maps on the Computer," UME Trends, Vol. 3, No. 2, May 1991, 6.
  20. "Do Students Have a Sense of Function?", UME Trends, Vol. 2, No. 6, January 1991, 6.
  21. "How Should Proof Be Taught?" and "Incorporating Learning Research into the Classroom," UME Trends, Vol. 2, No. 4, October 1990, 6.
  22. "The Derivative as the Slope of the Graph Itself?", "Gem on Teaching Probability Goes Unnoticed," and "Undergraduates Cannot Solve Algebra Word Problems," UME Trends, Vol. 2, No. 2, May 1990, 6.
  23. "Can We Improve People's Judgments Under Uncertainty?", "When Experts Solve Problems, What Do They Do That Novices Don't?", and "Teaching Away Misconceptions is Hard, but Not Impossible," UME Trends, Vol. 1, No. 6, January 1990, 6.
  24. "The Pedagogy of Educational Software: Good News, Bad News," "Calculus Reform at a French University," "Compare and Contrast: Euclid, Bourbaki, Lakatos, et al," and "What are Prospective Math Teachers Learning from Us?", UME Trends, Vol. 1, No. 4, October 1989, 6.
  25. "Do You Know the Students-and-Professors Problem?", "Metamorphosis: From Mathematician to Mathematics Education Researcher," "Do End-of-Sections Exercises Prevent Learning?", and "Critical Thinking about Modeling," UME Trends, Vol. 1, No. 2, May 1989, 6.

News/feature articles

  1. "PME in Brazil," UME Trends, Vol. 7, No. 5, November 1995, 11-12.
  2. "ICTCM -- Teaching with Technology," UME Trends, Vol. 7., No. 1, March 1995, 1&4.
  3. "Mathematics Education in San Francisco," UME Trends, Vol. 7., No. 1, March 1995, 1&3
  4. "Current Reform -- A Lovely Variation," UME Trends, Vol. 6, No. 5, November 1994, 7.
  5. "The Legacy of Hans Freudenthal," UME Trends, Vol. 6, No. 2, May 1994, 1-3.
  6. "PME Meets in Portugal," UME Trends, Vol. 6, No. 5, November 1994, 13-15.
  7. "Mathematics Education Displays its Breadth in Cincinnati," UME Trends, Vol. 6, No. 1, March 1994, 4-5.
  8. "Let's Focus on How Technology Can Help Us Demonstrate the Power of Mathematics," UME Trends, Vol. 6, No. 1, March 1994, 10-11 & 15. Reprinted in Proceedings of the Sixth International Conference on Technology in Collegiate Mathematics.
  9. "Equity, Diversity, Teacher Education, Technology," UME Trends, Vol. 5, No. 6, January 1994, 8-9.
  10. "A Math Ed Miscellany from Vancouver," UME Trends, Vol. 5, No. 5, November 1993, 1, 5 & 8.
  11. "Cornell Misconceptions Conference," UME Trends, Vol. 5, No. 5, November 1993, 11 & 15.
  12. "New Directions in the Mathematical Preparation of Elementary Teachers," UME Trends, Vol. 5, No. 4, September 1993, 5 & 7.
  13. "Interventions to Assure Success," UME Trends, Vol. 5, No. 3, July 1993, 15.
  14. "Mathematics Education--A Leitmotif in San Antonio," UME Trends, Vol. 5, No. 1, May 1993, 12-13.
  15. "AMATYC Aims to Set Standards for the First Two Years," UME Trends, Vol. 5, No. 1, March 1993, 14.
  16. "Technology for Today's and Tomorrow's Mathematics Classrooms," UME Trends, Vol. 5, No. 1, March 1993, 12-13. Reprinted in Proceedings of the Fifth International Conference on Technology in Collegiate Mathematics.
  17. "PME in New Hampshire," UME Trends, Vol. 4, No. 5, December 1992, 1-2.
  18. "Here They Come! Graphing Calculators on the AP?", UME Trends, Vol. 4, No. 4, October 1992, 3 & 7.
  19. "Mathematics Education Research--A Pastiche from Baltimore," UME Trends, Vol. 4, No. 2, May 1992, 1 & 7.
  20. "An Idea Whose Time is Coming: A Journal for Research in Collegiate Math Ed," UME Trends, Vol. 4, No. 1, March 1992, 1 & 2.
  21. "The Many Faces of Technology in Portland," UME Trends , Vol. 4, No. 1, March 1992, 6. Reprinted in Proceedings of the Fourth International Conference on Technology in Collegiate Mathematics.
  22. "Theory of Mathematics Education Conference: Metaphors in Math," UME Trends, Vol. 3, No. 4, October 1991, 6.
  23. "PME Meets in Assisi," UME Trends, Vol. 3, No. 4, October 1991, 6.
  24. "San Francisco--Research in Undergraduate Mathematics Education," UME Trends, Vol. 3, No. 2, May 1991, 1 & 6.
  25. "Are Graphing Calculators the Wave of the (Near) Future?", UME Trends, Vol. 3, No. 1, March 1991, 7-8.
  26. "A Potpourri of Math Ed at the Columbus Meeting," UME Trends, Vol. 2, No. 5, December 1990, 1-3.
  27. "Columbus Panel," UME Trends, Vol. 2, No. 5, December 1990, 1,3 & 7.
  28. "PME Meets in Mexico," UME Trends, Vol. 2, No. 4, October 1990, 6-7.
  29. "Mid-South Mathematics Colloquium Has Calculus Reform as this Year's Theme," UME Trends, Vol. 2, No. 3, August 1990, 6.
  30. "Math Education in Louisville," UME Trends, Vol. 2, No. 2, May 1990, 1,6 & 8.
  31. "Constructivism in Mathematics Education: A View of How People Learn," UME Trends, Vol. 2, No. 2, March 1990, 8.
  32. "Calculus PI's Meet at Duke," UME Trends, Vol. 1, No. 6, January 1990, 5.
  33. "Technology in Collegiate Mathematics: An Idea Whose Time Has Come?", UME Trends, Vol. 1, No. 6, January 1990, 5.
  34. "Ithaca College's Calculus Conference," UME Trends, Vol. 1, No. 4, October 1989, 4.
  35. "PME in Paris: Mexico Next Year," UME Trends, Vol. 1, No. 4, October 1989, 6.
  36. "Did You Miss This Technology Conference? There'll Be Another Next Year," UME Trends, Vol. 1, No. 1, March 1989, 8.

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home page, personal page, Mathematics Department, Tenn. Tech. U., MAA Online.

November 1998