Helmut Knaust  Pedagogical Interests and ServiceRelated Activities
InquiryBased Learning, PeerLed Team Learning, Teacher Training, ComputerAided Instruction, Transition from High School to College.
Books
 Helmut Knaust.
Analysis: An Introduction to
Analysis on the Real Line for Classes Using Inquiry Based
Learning. Selfpublished (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 (18821974).
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 WorldWide Web
designed to help students review material from precollege and college Mathematics courses. Check it out!
Papers
 Dessaray M. Gorbett, Jessica M. ShenbergerTrujillo, Sara E. Rodriguez, Ariana V. Arciero, Helmut Knaust, and
William H. Robertson.
Lessons Learned and Future Implications From a STEM Summer Research Experience.
The Chronicle of Mentoring & Coaching 6, Special Issue 15 (2022), 788–93.
 Dessaray M. Gorbett, Jessica M. ShenbergerTrujillo, Maricel QuintanaBaker, Sara E. Rodriguez, Ariana V. Arciero, Helmut Knaust, William H. Robertson, Cristina Villalobos, Benjamin C. Flores
UT System LSAMP: (2019) Undergraduate Student Perceptions of Mentorship and Research Experiences
The Chronicle of Mentoring & Coaching 1, Special Issue 13 (2020), 403–6.
 Dessaray M. Gorbett, Jessica M. ShenbergerTrujillo, Maricel QuintanaBaker, Sara E. Rodriguez, Ariana V. Arciero, Helmut Knaust, William H. Robertson, Cristina Villalobos, Benjamin C. Flores
UT System LSAMP: Perceptions of Mentorship and Support During COVID19.
The Chronicle of Mentoring & Coaching 1, Special Issue 13 (2020), 399–402.
 Ariana ArcieroPino and Helmut Knaust.
Bridge to the Doctorate Seminar Series: Coaching the Next Generation of STEM Professionals.
The Chronicle of Mentoring & Coaching 2 (2018), 207–11.
 Ariana ArcieroPino, Benjamin Flores, Lynda Gonzales, Helmut Knaust, and Maricel QuintanaBaker.
Work in Progress: Qualitative Assessment of the UT System LSAMP Summer Research Academy
Abroad: An International Experience in Research and Culture.
Proceedings of the 45th ASEE/IEEE Frontiers in Education Conference, 2015.
 Darnell, A., Becvar, J., Flores, B., Knaust, H., Lopez, J. & Tinajero, J.
Achieving student success using PeerLed Team Learning (PLTL).
Conference Proceedings of the PeerLed Team Learning International Society, 2013.
 Ariana ArcieroPino, Benjamin Flores, and Helmut Knaust.
Work in Progress  The University of Texas System Louis Stokes Alliance for Minority Participation: A
Statewide Initiative to Promote STEM Undergraduate Research.
Proceedings of the 42nd ASEE/IEEE Frontiers in Education Conference, 2012.
 Tuncay Aktosun, Ariana Arciero, Benjamin Flores, Helmut Knaust, and Cristina Villalobos.
Work in Progress  The Bridge to the Doctorate Experience: A Reflection on Best Practices and Project Outcomes.
Proceedings of the 41st ASEE/IEEE Frontiers in Education Conference, 2011.
 Ariana Arciero, Benjamin Flores, and Helmut Knaust.
Work in Progress  International Conference
Participation for Undergraduate Scholars through the University of Texas System Louis Stokes
Alliance for Minority Participation.
Proceedings of the 40th ASEE/IEEE Frontiers in Education Conference, 2010.
 Benjamin Flores, James Becvar, Ann Darnell, Helmut Knaust, Jorge Lopez and Josefina Tinajero.
Implementing Peer Led Team Learning in Gateway Science and Mathematics Courses for Engineering
Majors.
Proceedings of the 2010 American Society for Engineering Education Annual Conference
and Exposition.
 Helmut Knaust.
Analysis on the Real Line.
Accepted for publication in the Journal of InquiryBased Learning in Mathematics (September 2009).
 Connie Kubo DellaPiana, Ann Darnell, Julia Bader, Lilly Romo, Nohemi Rubio, Benjamin Flores,
Helmut Knaust, Thomas Brady, and Andrew Swift.
A Longitudinal Study of Student Persistence in Science, Technology,
Engineering, and Mathematics (STEM) at a Regional Urban University.
Proceedings of the 2003 American Society for Engineering Education Annual Conference & Exposition.
 Benjamin C. Flores, Jana Renner Martínez, Helmut Knaust,
Ann Darnell, Lilly Romo, and Connie Kubo DellaPiana.
The Effectiveness of a Mathematics Review for Student Placement into
CollegeLevel Mathematics.
Proceedings of the 2003 American Society for Engineering Education Annual Conference & Exposition.
 Lourdes SánchezContreras, 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.
 Benjamin C. Flores, Connie Kubo DellaPiana, 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.
 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. AddisonWesley, 1998.
Talks and Presentations (mostly PowerPoint)

"Inquirybased Learning in Mathematics"
Contributed Talk at the Joint NMmatyc/MAA Southwest Region Annual Conference, El Paso TX. April 15, 2023.

"Constructing the Real Numbers IBLStyle.”
Contributed Talk at the Joint Mathematics Meeting, AMS Special Session on "Inquirybased Teaching and Learning".
Virtual, April 8, 2022.

"Scientific Revolutions—A First Year Seminar Course Design.”
Contributed Talk at the Joint Mathematics Meeting, MAA Session on "Mathematical Themes in a FirstYear Seminar",
Baltimore MD. January 18, 2019.

"Guided Inquiry for Undergraduates in a Classroom Setting"
Contributed Talk at the Joint Mathematics Meeting, MAA Session on "Integrating Research into the Undergraduate
Classroom", San Diego CA. January 10, 2018.

"Exploration and Inquiry in an Introductory Course for Mathematics Majors"
Contributed Talk at the Joint Mathematics Meeting, MAA Session on "InquiryBased Learning in FirstYear and SecondYear Courses", San Antonio TX. January 12, 2015.

"Multiresolution Analysis for the Haar Wavelet: A Minimalist Approach"
Contributed Talk at the Joint Mathematics Meeting, MAA Session on "Wavelets In Undergraduate Education", San Antonio TX. January 12, 2015.

"Image Fusion of Satellite Images."
Contributed Talk at the Joint Mathematics Meeting, MAA Session on "Wavelets In Undergraduate Education", Baltimore MD. January 18, 2014.
Joint presentation with Jasmine Puente and Brenda T. Gonzalez.

"Technology in the Mathematics Classroom."
Contributed Talk at MathFest, Hartford CT. August 3, 2013.

"How to Make Teachers out of Mathematics Students."
Contributed Talk at the SUN Conference. The University of Texas at El Paso, El Paso TX. February 28, 2013.

"A Plaidoyer for Boolean Algebra."
Contributed Talk at the Joint Mathematics Meeting, MAA Session on "Bridging the Gap: Designing an Introduction to Proofs Course".
San Diego CA. January 11, 2013.

"The University of Texas System Louis Stokes Alliance for Minority Participation:
A Statewide Initiative to Promote STEM Undergraduate Research."
Contributed Talk at Frontiers in Education 2012, Seattle WA. October 5, 2012.
Joint presentation with Ariana ArcieroPino, and Benjamin Flores.

"PeerLed Team Learning in Precalculus."
Contributed Talk at MathFest 2012, Session on
``Instructional Support Roles for Undergraduates in Mathematics and Statistics,'' Madison WI. August 2, 2012.

"Math Is Everywhere."
College of Science Summer Orientation. UTEP. July and August 2012.

"Smoke
Detection in Stationary Video Using Wavelets."
Contributed Talk at the Joint Mathematics Meeting, MAA Session on "Wavelets In Undergraduate Education".
Boston MA. January 6, 2012.

"Undergraduate
Research Projects on WaveletBased Time Series Forecasting."
Contributed Talk at the Joint Mathematics Meeting, MAA Session on "Wavelets In Undergraduate Education".
Boston MA. January 6, 2012.
Joint presentation with Bruce Atwood, Caroline Haddad and John Merkel.

"The Bridge to the Doctorate Experience:
A Reflection on Best Practices and Project Outcomes".
Contributed Talk at Frontiers in Education 2011, Session T4H: ''Factors Influencing Decisions of Women to
Select and/or Continue in Engineering,'' Rapid City SD. October 13, 2011.
Joint presentation with Tuncay Aktosun, Ariana Arciero, Benjamin Flores, and Cristina Villalobos.
 "Two First Year Seminar Course
Designs for Science and Mathematics Majors.".
Contributed Talk at MathFest 2011, Session on
``First Year Seminar/First Year Experience Mathematics Courses,'' Lexington KY. August 4, 2011.
 "A Capstone Course
for Future High School Mathematics Teachers".
Contributed Talk. Meeting of the Southwestern Section of the Mathematical Association of America,
Eastern New Mexico University, Roswell NM. May 20, 2011.

"Coursebased Program Assessment".
Contributed Talk at the Joint Mathematics Meeting, MAA Session on "Using Program Assessment to Improve Student Learning".
New Orleans LA. January 9, 2011.
Joint presentation with Joe Guthrie.

"LloydMax Quantization Schemes".
Contributed Talk at the Joint Mathematics Meeting, MAA Session on "Wavelets In Undergraduate Education".
New Orleans LA. January 6, 2011.
 "Supplemental Instruction in Precalculus".
Contributed Talk. Meeting of the Southwestern Section of the Mathematical Association of America, Scottsdale Community
College, Scottsdale AZ. April 10, 2010.
Joint presentation with Gabriela Schwab and Emil Schwab.
 "Teaching a Discrete Wavelets Transform Course".
Contributed Talk. Meeting of the Southwestern Section of the Mathematical Association of America, Scottsdale Community
College, Scottsdale AZ. April 9, 2010.
 "Overview of Math 5311: Applied Mathematics  Discrete Wavelets and Image Processing".
Presentation at the Graduate Seminar, UTEP. October 16, 2009.
 "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.
 "Exploring Machin's Approximation of π".
(Accompanying Mathematica notebook (PDF))
Contributed Talk at MathFest 2009, Session on the ``Effective Use of Dynamic Mathematical Software in the Classroom'', Portland OR. August 8, 2009.
 "Cross Institutional Implementation of Supplemental Instruction".
Contributed Talk at MathFest 2009, Portland OR. August 8, 2009.
Joint presentation with Gabriela Schwab and Emil Schwab.
 "Student Projects in a
Discrete Wavelets Transform Course".
Invited presentation at the workshop "Wavelets and Applications  A MultiDisciplinary Undergraduate Course with an Emphasis on Scientific
Computing", University of South Florida, Tampa FL. June 5, 2009.

"PeerLed Team Learning for Precalculus".
External Advisory Board visit, STEP grant, UTEP. April 17, 2009.

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

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

Zooming in on a Transformed Image: a Project for Students.
Contributed 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.

Modular Delivery and PeerLed TeamLearning for Precalculus.
Contributed 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.

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

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

The Math Emporium at Virginia Tech.
Visit to Virginia Tech, Blacksburg VA. March 2729, 2007.

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.

New Math Faculty Orientation.
August 18, 2006.

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

Studying Mathematics at UTEP.
Presentation to UTEP Admissions staff. July 12 and 13, 2005.
 Student Outcomes in Mathematics
.
UTEP. February 9, 2005.
Joint presentation with Art Duval.
 Mathematics as an Experimental Laboratory Science.
.
Contributed talk at the 2004 SUN Conference, El Paso TX. March 6, 2004.
Joint presentation with Art Duval.
 Getting Ahead in FirstYear Mathematics College Courses
.
Contributed talk at the Annual Conference on the FirstYear Experience,
Addison TX. February 23, 2004.
Joint presentation with Benjamin Flores, Nancy Marcus and Dorothy Ward.
 Placing More Freshmen into Collegelevel Mathematics
Courses.
Contributed talk at the Annual Meeting of the Southwestern Section of the Mathematical Association of America,
Socorro NM. April 5, 2003.
 Teaching Algebra with Spreadsheets.
Contributed talk at the International Network of Educational Technology Conference, El Paso TX. January 7, 2003.
 S.O.S. Math  A Mathematics Help Site on the
Internet.
Contributed talk at the 15th International Conference for Technology in Collegiate Mathematics, Orlando FL. November 2, 2002.
Joint presentation with Nancy Marcus.
 The Moore Method  A Tradition of
Active Student Learning in Mathematics.
Contributed talk at the First Annual SUN Conference on Teaching and Learning, El Paso TX. March 8, 2002.
Joint presentation with Art Duval.
 An Academic Model for STEM Student Success in an Urban Commuter
Institution.
Contributed talk at the Annual Conference on the FirstYear Experience, Orlando, FL. February 19, 2002.
Joint presentation with Connie Kubo DellaPiana, Benjamin Flores and Rosa Gomez.
 S.O.S. Math  A Mathematics Help Site on the
Internet.
Contributed talk at the International Network of Educational Technology Conference, El Paso TX. January 8, 2002.
Joint presentation with Nancy Marcus.
 The Hunt for Mersenne Primes.
Talk for "Club Zero", UTEP. March 26, 1999.
[Mathematica notebook.]
 S.O.S. Mathematics.
Contributed Talk at the "Neat Networks" Conference, El Paso TX. May 5, 1998.
Joint presentation with Mohamed A. Khamsi.
 How Do Calculators Calculate? (The CORDIC Algorithm).
Contributed Talk at the Annual Meeting of the Southwestern Section of the Mathematical Association of America,
Grant NM. April 14, 1997.
Addendum
(December 2012) The talk has recently been referenced in a U.S. Patent application:
 Fuller, Arthur Thomas Gerald, and Bradley John Morris. "Cordic based complex tuner with exact frequency resolution."
U.S. Patent No. 8,243,857. 14 Aug. 2012.
 Differential Equations Reform.
Presentation, UTEP. February 1997.
Joint presentation with Mohamed A. Khamsi.
