Current and upcoming
- In August 2021 I presented at MathFest on innovations for encouraging and assessing participation in online courses, and I have a manuscript in preparation on the same topic with the working title, "Assessing and Encouraging Student Participation in Remote Asynchronous Courses," which I expect to submit to PRIMUS this fall.
- See the most recent edition of Illinois Mathematics Teacher (vol. 64), edited by Daniel Jordan and myself.
Publications
- Book chapter supplement: "Observing Demand Elasticity with Direction Fields," applied project included in the digital version of Differential Equations with Boundary Value Problems 9E, D. Zill, Cengage Learning (2020)
- Invited book review for Euler's Pioneering Equation: The Most Beautiful Theorem in Mathematics (author Robin Wilson), Mathematics Teacher vol. 112, no. 6, p. 477 (2019)
- Exploring personality profiles with matrices, in Problems and Resources in Mathematics Undrgraduate Studies (PRIMUS), vol. 28, no. 7, (2018)
- Definable choice for a class of weakly o-minimal theories, with M. C. Laskowski, in Archive for Mathematical Logic, vol. 55, no. 5 (2016)
- Quantitative Literacy: Problems that Motivate, in Ohio Journal of School Mathematics, vol. 72 (2015)
- Using data from real sources: Motivating statistics definitions on day one, with G. Johnson, in Mathematics in Michigan, vol. 46, no. 2, (2013)
- Weakly o-minimal
structures and Skolem functions (PhD thesis, 2008)
- A
Doppler statistic for zero autocorrelation waveforms, with J. J. Benedetto, J. Donatelli, and I. Konstantinidis,
Proceedings of the 2006 IEEE Conference on Information Science and Systems (2006)
- Zero
autocorrelation waveforms: a Doppler statistic and multifunction problems, with J. J. Benedetto, J. Donatelli, and I. Konstantinidis,
Proceedings of the 2006 IEEE International Conference on Acoustics, Speech, and Signal Processing (2006)
Selected talks
- Assessing Participation in the Time of Black Squares, August 2021 [Slides]
A talk sharing innovations used to encourage and assess meaningful participation in remote mathematics courses.
- Sharing Your Innovations as Scholarly Articles, October 2019
A workshop co-presented with Daniel Jordan designed to encourage practicing teachers to publish their unique ideas in scholarly journals.
- Unifying sets and logic with the real world in a Liberal Arts Mathematics course, January 16, 2019 [Abstract] [Slides]
A talk in an MAA session on issues with connecting basic syllogism-type problems with real-world applications of deductive reasoning.
- Writing an Article for the Illinois Mathematics Teacher Journal, October 20, 2018 [Slides]
A workshop co-presented with Daniel Jordan to introduce participants to the process of academic publishing and help them develop ideas for articles into potential submissions.
- Understanding Legal Terminology through Symbolic Logic, January 11, 2018 [Abstract] [Slides] Presented in the MAA session on Using Mathematics to Study Problems from the Social Sciences, at the Joint Mathematics Meetings in San Diego.
- Definable Skolem functions for weakly o-minimal structures, January 17, 2017 [Abstract]
Logic Seminar at the University of Illinois at Chicago.
- Skolem functions for a weakly o-minimal structure with a new convex predicate, January 7, 2017 [Abstract]
Winter meeting of the Association for Symbolic Logic in Atlanta.
- Definable choice for a class of weakly o-minimal structure, November 15, 2016 [Slides]
Research talk presented at the Southern Wisconsin Logic Colloquium at the University of Wisconsin in Madison.
- Skolem functions for a weakly o-minimal structure with a new convex predicate, October 25, 2016
Research talk presented at the Logic Seminar at the University of Notre Dame.
- Exploring personality profiles with matrices, January 8, 2016 [Abstract] [Slides]
Presented in the MAA session on Innovative and Effective Ways to Teach Linear Algebra, at the Joint Mathematics Meetings in Seattle (2016)
- Transforming assessment of student learning in a multi-discipline department, with G. Adams, D. Jordan, T. McCaskey, and J. Minbiole, NSTA Annual Conference, March 2015
- The Unsuspecting Analyst: Mathematics that Needs No Introduction, January 13, 2015 [Abstract] [Slides]
Presented in the MAA session on Infusing Quantitative Literacy into Mathematics and Nonmathematics Courses, at the Joint Mathematics Meetings in San Antonio (2015)
- Gödel's Incompleteness Theorems, Mathematics Seminar Series, Elmhurst College, Elmhurst, IL, March 12, 2014
- Does inherent platonism predict strength in abstract mathematics? January 16, 2014 [Abstract] [Slides]
Coauthored with G. Johnson and H. Johnson, presented in the session on Research in Undergraduate Mathematics Education, at the Joint Mathematics Meetings in Baltimore (2014)
- Two ideas that shook the foundations of mathematics, Science and Mathematics Colloquium, Columbia College Chicago, April 24, 2013
- Voting Alliances: Using Politics to Motivate Combinatorial Counting, January 10, 2013 [Abstract] [Slides]
Presented in the session on Projects, Demonstrations, and Activities that Engage Liberal Arts Mathematics Students, at the Joint Mathematics Meetings in San Diego (2013)
- Skolem functions for a class of weakly o-minimal structures, April 19, 2011, Logic seminar at University of Illinois Chicago [Abstract] [Slides]
A longer version of a talk presenting recent advances to work on definable choice in weakly o-minimal structures.
- Ordered structures, o-minimality, and definable choice, March 14, 2011, Model theory seminar at Carnegie Mellon University [Abstract]
An introductory talk on the model theory of ordered structures, leading to a discussion of Skolem functions in weakly o-minimal structures. (Chalk)
- Definable choice for a class of weakly o-minimal structures, January 8, 2011, Winter meeting of the Association for Symbolic Logic, at the Joint Meetings of the AMS and MAA in New Orleans, LA [Abstract] [Slides]
This talk was co-authored by M. C. Laskowski, and presented some results from a preprint version of the paper, "Definable chioce for a class of weakly o-minimal theories."
- The war on apathy in a terminal statistics course: Motivating definitions from day one, January 8, 2011, MAA contributed paper session at the Joint Meetings of the AMS and MAA in New Orleans, LA [Abstract] [Slides]
Co-presented with G. Johnson, a brief description of how a motivated survey given and tabulated in a few minutes can help to motivate definitions of average and understanding of a continuous random variable.
- Definable sets and ordered structures, II, February 3, 2010 and March 10, 2010, George Washington University Logic Seminar [Abstract] [Slides]
Continuation of the previous talk.
- Definable sets and ordered structures I, February 3, 2010, George Washington University Logic Seminar [Abstract]
The talk was intended for a general audience of mathematicians,
and should be accessible to the non-model theorist, although some familiarity with the basic concepts (definition of
a model, understanding of formulas and definable sets) would be useful. (Chalk)
- Definability in weakly o-minimal structures, April 13, 2007, University of Maryland graduation seminar [Slides]
Invited speakers for the conference were the
spring graduates
and the winners of the Spotlight
on Graduate Research competition from
the Fall. The talk is intended for a general graduate student audience.
Crossword puzzles
- "Diagonal Calculation," published in Illinois Mathematics Teacher (2018). Printable or playable with AcrossLite: [PDF] [PUZ]
- "Alternative Breakfast," (2017). Printable or playable with AcrossLite: [PDF] [PUZ]
- [Untitled], daily crossword by the Los Angeles Times (June 16, 2017). Printable: [PDF]
- "Follow the Directions," published in Illinois Mathematics Teacher (2014). Printable or playable with AcrossLite: [PDF] [PUZ]
- "Quality Fights," published by WordXross (2009). Printable or playable with AcrossLite: [PDF] [PUZ]
- "Calling the Game" (2009). Printable or playable with AcrossLite: [PDF] [PUZ]
- "No Relation" (2009). Printable or playable with AcrossLite: [PDF] [PUZ]
- "Perfect Games" (2009). Printable or playable with AcrossLite: [PDF] [PUZ]
- "Dressing Down" (2009). Printable or playable with AcrossLite: [PDF] [PUZ]
