Patrice Tiffany

My more recent research involves the integration of the modeling first approach into the teaching of Differential Equations.  This approach uses real life situations and technology to show the power of differential equations.   The problems proposed deal with such topics as the absorbtion of drugs into the blood stream to the spread of oil spills in an ocean to the system of shock absorbers in an automobile. I  have been the PI of a NSF grant for four years.  This grant has enabled my co PIs and me to run in-person and virtual workshops on modeling first in Differential Equations to Mathematics faculty throughout the country.  These workshops deal with not only how to implement this approach in DE courses but also  how to create one's own scenerios.  I am on the advisory board for SIMIODE,  an open community of teachers and learners using modeling first differential equations in an original way.  SIMIODE maintains a website and that supports this approach with hundreds of scenerios that instructors can use in their courses. Previously my research interests involved the use of technology in the teaching and learning of Calculus. I was involved in the integration of computer algebra systems into the calculus curriculum.  This work was recognized when I was elected to be a fellow in the International Conference on Technology in Collegiate Mathematics.

Another branch of research that I have been in  involved the creation and restructuring of the mathematics courses for our education students.  The research involved communication with professors in other countries whose students score much higher than the US  on the international exam, PISA.  This exams tests the mathematical abillities of students in the eighth grade.  It also involved research in to the findings of such sources as the Conference Board of Mathematical Sciences. The result of this research was the creation of three Mathematics courses required of  our elementary education  students with a mathematics concentration.

• "Mathematical Animations and Maple" (with Rosemary Farley) was presented at the Thirteenth International Conference on Technology in Collegiate Mathematics in November, 2000.  The paper was published in the proceedings of the conference.
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  "Using Maple in the Probability Classroom" (with Rosemary Farley) was presented at the Eleventh International Conference on Technology in Collegiate Mathematics in November, 1998.  The paper was published in the proceedings of the conference.
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  "Modernizing the Calculus Classroom" (with Rosemary Farley) was presented at the Tenth International Conference on Technology in Collegiate Mathematics in November, 1997.  The paper was published in the proceedings of the conference.
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  "Mathematical Modeling" (with Rosemary Farley) was presented at the Ninth International Conference on Technology in Collegiate Mathematics in November, 1996.  The paper was published in the proceedings of the conference.
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  "Integration of Maple into the Calculus Sequence:  A Continuing Process" (with Rosemary Farley) was presented at the Eighth International Conference on Technology in Collegiate Mathematics in November, 1995.  The paper was published in the proceedings of the conference.
  
  "Integration of Maple into the Calculus Sequence:  An Evolving Process "(with Rosemary Farley and  Kathryn Weld) was presented at the Eleventh Annual Eastern Small College Computing Conference in October, 1995.  The paper was published in the proceedings of the conference. 
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  "Integrating Maple:  A Process of Evaluation and Evolution" (with Carol Hurwitz,  Thomas Smith,  Charles Stolze,  Rosemary Farley, and  Kathryn Weld) was presented at the Seventh International Conference on Technology in Collegiate Mathematics in November, 1994.  The paper was published in the proceedings of the conference
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   A Four Step Method for Creating Animations. (with Rosemary Farley) published inComputers in Education Journal.  Vol. 4 No. 3 July--September 2013, 59-62. 
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  A Pilot Program Using an e-book and Online Homework in the Calculus Sequence (with Rosemary Farley) published in the Proceedings of the International Conference on Technology in Collegiate Mathematics 2013.
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  Creating Animations (with Rosemary Farley) to be published in the  Proceedings of the Seventeenth International Conference on Technology in Collegiate Mathematics, March, 2012. 
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  Jumpstarting Technology in the Calculus Curriculum (with Rosemary Farley) was a mini-course taught at the Seventeenth International Conference on Technology in Collegiate Mathematics in November, 2004.  The paper was published in the proceedings of the conference.
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  Lessons Learned:  A Decade Using a Computer Algebra System, Five Years Using a Course Management System (with Rosemary Farley) was presented at the Fifteenth International Conference on Technology in Collegiate Mathematics in November, 2002.  The paper was published in the proceedings of the conference
  
  Maple and Blackboard (with Rosemary Farley) was a mini-course taught at the Fourteenth International Conference on Technology in Collegiate Mathematics in November, 2001.  The paper was published in the proceedings of the conference.
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  Using the Course Management System Blackboard 5 with the Computer Algebra System Maple in the Mathematics Classroom (with Rosemary Farley) was presented at the Society for Information Technology and Teacher Education International Conference in March, 2001. The paper was published in the proceedings of the conference.
  
  Integrating the WWW into Mathematics Courses—What Works? (with Rosemary Farley) was a mini-course taught at the Thirteenth International Conference on Technology in Collegiate Mathematics in November, 2000.  The paper was published in the proceedings of the conference.
  
  Mathematical Animations and Maple (with Rosemary Farley) was presented at the Thirteenth International Conference on Technology in Collegiate Mathematics in November, 2000.  The paper was published in the proceedings of the conference.
• 
  Using Maple in the Probability Classroom (with Rosemary Farley) was presented at the Eleventh International Conference on Technology in Collegiate Mathematics in November, 1998.  The paper was published in the proceedings of the conference.
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  Modernizing the Calculus Classroom (with Rosemary Farley) was presented at the Tenth International Conference on Technology in Collegiate Mathematics in November, 1997.  The paper was published in the proceedings of the conference.
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  · Mathematical Modeling (with Rosemary Farley) was presented at the Ninth International Conference on Technology in Collegiate Mathematics in November, 1996.  The paper was published in the proceedings of the conference.
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  · Integration of Maple into the Calculus Sequence:  A Continuing Process (with Rosemary Farley) was presented at the Eighth International Conference on Technology in Collegiate Mathematics in November, 1995.  The paper was published in the proceedings of the conference.
  
  · Integration of Maple into the Calculus Sequence:  An Evolving Process (with Rosemary Farley and  Kathryn Weld) was presented at the Eleventh Annual Eastern Small College Computing Conference in October, 1995.  The paper was published in the proceedings of the conference.                                                                                 
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Hosted two SCUDEM competitions at our school and coached teams at two other challenges (2017- 2019) (Student Challenge Using Differential Equations Modeling).

 Showcasing of Modeling to Motivate Differential Equations contributed paper session for MathFest, August, 2019, in Cincinnati OH. Organized session with Therese Shelton, and Rosemary Farley.

 Modeling Competitions: Perspectives of Student and Faculty presented at the Joint Mathematics Meeting of MAA and AMS, Baltimore, MD January, 2019, with student Emily Regenauer.

 Member of the Program Committee for the International Conference on Technology in Collegiate Mathematics (ICTCM). Named an ICTCM Fellow for 2018. "The ICTCM Fellow award recognizes individuals who have shown sustained effort toward the principal aim of using technology for teaching mathematics. The designation of ICTCM Fellow implies a record of research, innovation, leadership, contributions and long-term commitment to the ICTCM environment." (designation from ICTCM).

Member of MAA

2010-2011 Distinguished LaSallian Educator Award

2018 ICTCM Fellow

2018  PI for NSF Grant:  Building Community through Systemic Initiative for Modeling Investigations and Oppotunities with Differential Equations