Helmut Knaust - Pedagogical Interests and Service-Related Activities

• Books

  • Helmut Knaust. Analysis: An Introduction to Analysis on the Real Line for Classes Using Inquiry Based Learning. Self-published (2008).

    As a graduate student the author participated in an Inquiry Based Learning course in Topology, and has been intrigued by Inquiry Based Learning ever since. Inquiry Based Learning is also known as the "Moore Method", named after the eminent Texas mathematician R.L. Moore (1882-1974).
    Paul Halmos has summarized the basic idea of Inquiry Based Learning succinctly as follows: ''The best way to learn is to do; the worst way to teach is to talk.''
    Contents: 1 - Introduction, 2 - Sequences and Accumulation Points, 3 - Limits, 4 - Continuity, 5 - The Derivative, 6 - The Integral, A - Cardinality, B - The Cantor Set.
    

• S.O.S. Mathematics

  I am one of the three creators of S.O.S. Mathematics, a site on the World-Wide Web designed to help students review material from pre-college and college Mathematics courses. Check it out!
  

• Papers

  5. Helmut Knaust.
     Analysis on the Real Line.
     Accepted for publication in the Journal of Inquiry-Based Learning in Mathematics (September 2009).

  4. Benjamin C. Flores, Jana Renner Martínez, Helmut Knaust, Ann Darnell, Lilly Romo, and Connie Kubo Della-Piana.
     The Effectiveness of a Mathematics Review for Student Placement into College-Level Mathematics.
     Proceedings of the 2003 American Society for Engineering Education Annual Conference & Exposition.

  3. Lourdes Sánchez-Contreras, Rosa M. Gómez, Joseph Ramos, Benjamin C. Flores, and Helmut Knaust.
     Developing a learner centered environment to meet the needs of a growing urban commuter student population.
     Proceedings of the 2003 American Society for Engineering Education Annual Conference & Exposition.

  2. Benjamin C. Flores, Connie Kubo Della-Piana, Thomas Brady, Andrew Swift, Helmut Knaust and Jana Renner Martínez.
     An Institutional Model for Student and Faculty Support.
     Proceedings of the 2002 American Society for Engineering Education Annual Conference & Exposition.

  1. M.A. Khamsi, H. Knaust and N. Marcus.
     S.O.S. Mathematics - Students Review Mathematical Concepts on the Internet.
     Proceedings of the 11th International Conference for Technology in Collegiate Mathematics. Addison-Wesley, 1998.

• Talks and Presentations (mostly PowerPoint)

  30. "Overview of Math 5311: Applied Mathematics - Discrete Wavelets and Image Processing".
      Presentation at the Graduate Seminar, UTEP. October 16, 2009.

  29. "UT System LSAMP Major Accomplishments".
      Presentation at a Luncheon honoring Louis Stokes, The University of Texas at San Antonio, San Antonio TX. October 7, 2009.

  28. "Exploring Machin's Approximation of π". (Accompanying Mathematica notebook)
      Contributed Talk at MathFest 2009, Session on the ``Effective Use of Dynamic Mathematical Software in the Classroom'', Portland OR. August 8, 2009.

  27. "Cross Institutional Implementation of Supplemental Instruction".
      Contributed Talk at MathFest 2009, Portland OR. August 8, 2009.
      Joint presentation with Gabriela Schwab and Emil Schwab.

  26. "Student Projects in a Discrete Wavelets Transform Course".
      Invited presentation at the workshop "Wavelets and Applications - A Multi-Disciplinary Undergraduate Course with an Emphasis on Scientific Computing", University of South Florida, Tampa FL. June 5, 2009.

  25. "Peer-Led Team Learning for Precalculus".
      External Advisory Board visit, STEP grant, UTEP. April 17, 2009.

  24. "Math Is Everywhere".
      New Scholars Event in the College of Science, UTEP. April 4, 2009.

  23. Modular Delivery and Supplemental Instruction (SI) for Calculus.
      Invited talk at the SUN Conference. El Paso TX. February 27, 2009.
      Joint presentation with Emil Schwab, Martha Fuentes and Oscar Macedo.

  22. Zooming in on a Transformed Image: a Project for Students.
      Invited talk at the Joint Mathematics Meeting, MAA Session on Wavelets for Undergraduates. Washington DC. January 6, 2009.
      Joint presentation with Caroline Haddad and Dawit Haile.

  21. Modular Delivery and Peer-Led Team-Learning for Precalculus.
      Invited talk at the Joint Mathematics Meeting, MAA Session on Building Diversity in Advanced Mathematics: Models That Work. Washington DC. January 5, 2009.
      Joint presentation with Emil Schwab.

  20. Math in the News: Mersenne Primes.
      Invited talk at the Greater El Paso Council of Teachers Fall Conference, El Paso TX. October 18, 2008.

  19. S.O.S. Mathematics and Some Other Math Help Sites on the Internet.
      Invited talk at the Greater El Paso Council of Teachers Fall Conference, El Paso TX. October 20, 2007.

  18. The Math Emporium at Virginia Tech.
      Visit to Virginia Tech, Blacksburg VA. March 27-29, 2007.

  17. Getting Ready To Study Mathematics, Science and Engineering at UTEP.
      Presentation to the Mathematics faculty at Parkland High School, Ysleta Independent School District, El Paso TX. February 28, 2007.

  16. New Math Faculty Orientation.
      August 18, 2006.

  15. "Mathematics in the Modern World" Workshop.
      Presentation to faculty teaching the new course Math 1319. August 15, 2006.

  14. Studying Mathematics at UTEP.
      Presentation to UTEP Admissions staff. July 12 and 13, 2005.

  13. Student Outcomes in Mathematics .
      UTEP. February 9, 2005.
      Joint presentation with Art Duval.

  12. Mathematics as an Experimental Laboratory Science. .
      Invited talk at the 2004 SUN Conference, El Paso TX. March 6, 2004.
      Joint presentation with Art Duval.

  11. Getting Ahead in First-Year Mathematics College Courses .
      Invited talk at the Annual Conference on the First-Year Experience, Addison TX. February 23, 2004.
      Joint presentation with Benjamin Flores, Nancy Marcus and Dorothy Ward.

  10. Placing More Freshmen into College-level Mathematics Courses.
      Invited talk at the Annual Meeting of the Southwestern Section of the Mathematical Association of America, Socorro NM. April 5, 2003.

  9. Teaching Algebra with Spreadsheets.
     Invited talk at the International Network of Educational Technology Conference, El Paso TX. January 7, 2003.

  8. S.O.S. Math - A Mathematics Help Site on the Internet.
     Invited talk at the 15th International Conference for Technology in Collegiate Mathematics, Orlando FL. November 2, 2002.
     Joint presentation with Nancy Marcus.

  7. The Moore Method - A Tradition of Active Student Learning in Mathematics.
     Invited talk at the First Annual SUN Conference on Teaching and Learning, El Paso TX. March 8, 2002.
     Joint presentation with Art Duval.

  6. An Academic Model for STEM Student Success in an Urban Commuter Institution.
     Invited talk at the Annual Conference on the First-Year Experience, Orlando, FL. February 19, 2002.
     Joint presentation with Connie Kubo Della-Piana, Benjamin Flores and Rosa Gomez.

  5. S.O.S. Math - A Mathematics Help Site on the Internet.
     Invited talk at the International Network of Educational Technology Conference, El Paso TX. January 8, 2002.
     Joint presentation with Nancy Marcus.

  4. The Hunt for Mersenne Primes.
     Talk for "Club Zero", UTEP. March 26, 1999.
     [Mathematica notebook.]

  3. S.O.S. Mathematics.
     Invited Talk at the "Neat Networks" Conference, El Paso TX. May 5, 1998.
     Joint presentation with Mohamed A. Khamsi.

  2. How Do Calculators Calculate? (The CORDIC Algorithm).
     Invited Talk at the Annual Meeting of the Southwestern Section of the Mathematical Association of America, Grant NM. April 14, 1997.

  1. Differential Equations Reform.
     Presentation, UTEP. February 1997.
     Joint presentation with Mohamed A. Khamsi.