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  1. Creating and Using Videos in Support of Modeling in Differential Equations Course Work

    08 Mar 2017

    This talk was presented at the AMS Special Session  on the Modeling First Approach to Teaching Differential Equations at the Joint Mathematics Meetings, 7 January 2017, Atlanta GA USA.This presentation discusses and gives rich examples of resources and software for video production to use...

  2. Modeling Improvisation: Taking Classroom Materials and Making Them Your Own

    08 Mar 2017

    This talk was presented at the AMS Special Session  on the Modeling First Approach to Teaching Differential Equations at the Joint Mathematics Meetings, 7 January 2017, Atlanta GA USA.This presentation presents some great resources while pointing out the possible trouble with resources. The...

  3. Successful modeling motivation for beam equations

    04 Mar 2017 | Presentations

    This talk was presented at the AMS Special Session  on the Modeling First Approach to Teaching Differential Equations at the Joint Mathematics Meetings, 7 January 2017, Atlanta GA USA.This presentation illustrates a successful empirical modeling activity for several beam configurations with...

  4. SIMIODE--a supportive community for teaching and learning differential equations using the "modeling first" approach: from the classroom to preparing students for research.

    04 Mar 2017 | Presentations

    This talk was presented at the AMS Special Session  on the Modeling First Approach to Teaching Differential Equations at the Joint Mathematics Meetings, 7 January 2017, Atlanta GA USA.The talk gives overview of SIMIODE and richly illustrates how students were engaged in meaningful modeling...

  5. Stay Tuned - Modeling in Differential Equations Courses

    29 Dec 2016 | Presentations

    Joint Mathematics Meetings 2017 Teaching and Learning of Undergraduate Ordinary Differential Equations, I  10:20 AM Friday, 6 January 2017Marriott Marquis, A702 Atrium Level Stay Tuned  Modeling in Differential Equations Courses Brian Winkel, PROF Emeritus,  United...

  6. 1-090-T-EmptySphericalTank

    12 Nov 2016 | Modeling Scenarios

    We model the emptying of water from a spherical tank. First, we pump out water at a constant rate. Second, we allow the water to exit through a small hole in the bottom of the tank. We seek to determine how fast the water level is falling in both cases. Furthermore, we seek to determine the size...

  7. 1-090-S-EmptySphericalTank

    12 Nov 2016 | Modeling Scenarios

  8. Reasons for SIMIODE - White Paper

    05 Nov 2016 | General Resources

    We offer reasons and background for the work offered in SIMIODE. We support the notion that students learn mathematics best when it is in context and there is interest and curiosity present. We present details on a community of teachers and learners in SIMIODE who are interested in teaching and...

  9. 1-110-T-SnailsInaTidePool

    04 Oct 2016 | Modeling Scenarios

    This lab asks students to use linear differential equations to model temperature change, both in a sand tide pool and inside the shell of a snail in that tide pool. We offer data on temperature in a tide pool as the sun heats the water and ask students to model the tide pool's water...

  10. SIMIODE – A Community for Teaching Modeling-First Differential Equations

    25 Sep 2016 | Presentations

    This is the first SIAM Conference on Applied Mathematics Education held in Philadelphia PA USA, 28 September - 2 October 2016. We offer a presentation entitled, "SIMIODE - A Community for Teaching Modeling First Differential Equations."Abstract: SIMIODE - Systemic Initiative for...

  11. Reflection - Slowly Introducing Modeling First into Differential Equations Classes

    24 Sep 2016 | Sample Syllabi and Course Reflections

  12. Differential Equations at Westminster College Personal Account

    21 Sep 2016 | Sample Syllabi and Course Reflections

    This paper describes the author's experiences teaching differential equations with a strong modeling component at a small liberal arts college. The course structure and incorporation of modeling are discussed, as well as challenges and rewards associated with this approach.

  13. Compartment Models

    19 Sep 2016 | Articles and Publications

    Blomhøj, M, T.H. Kjeldsen, and J. Ottesen. 2014. Compartment Models.From the Introduction of this 47 page chapter the authors say,"Background: It is important to master the ability to develop models. Modeling of dynamical systems plays a very important role in applied science, and...

  14. Informed Conjecturing in a Modeling Context Differential Equations

    18 Sep 2016 | Articles and Publications

    This is the preprint version of the published article: Winkel, B. J. 2015. Informed Conjecturing of Solutions for Differential Equations in a Modeling Context. PRIMUS. 25(2): 158-169.Abstract:  We examine two differential equations, (1) first order exponential growth or decay and (2) second...

  15. Logistics of Mathematical Modeling-Focused Projects

    17 Sep 2016 | Articles and Publications

    Projects provide tangible connections to course content and can motivate students to learn at a deeper level. This article focuses on the implementation of projects in both lower and upper division math courses which develop and analyze mathematical models of a problem based upon known data and...

  16. Modeling in Differential Equations Doing, Learning, and Teaching

    14 Sep 2016 | Presentations

    On 15 September 2016 Brian Winkel, Director of SIMIODE, is giving a talk to the Society for Industrial and Applied Mathematics, SIAM Student Chapter, New York City College of Technology, Brooklyn NY. The talk will engage students and faculty in modeling activities and give an overview of the...

  17. Teaching Math Modeling: Emphasizing the Transform Step with MicroProjects

    06 Sep 2016 | Articles and Publications

    This paper describes and evaluates an effort to improve first-year college math students’ ability to quantitatively setup a mathematical model given an ill-defined problem. Six specific assignments were created for a treatment group of 70 students as part of a course of 250 students. Grade...

  18. 1-095-T-RatingChessPlayers

    17 Aug 2016 | Modeling Scenarios

    The goal of this activity is to have students build a mathematical model involving a system of first order difference equations from a verbal description of a scenario. In the first part of the activity, students will read a description of a method used to rate chess players. From the verbal...

  19. SIMIODE - A Community for Teaching Modeling First Differential Equations

    09 Aug 2016 | Presentations

    This presentation was offered at the MAA MathFest, COlumbus OH, 4 August 2016,  Title and Abstract for General Contributed Paper Sessions  under Modeling and ApplicationsSIMIODE - Systemic Initiative for Modeling Investigations and Opportunities with Differential Equations...

  20. 1-001B-T-MAndM-DeathImmigrationMystery

    27 Jun 2016 | Modeling Scenarios

    We describe a classroom activity in which students use M&M candies to simulate death and immigration. Each student conducts an experiment with an immigration rate unique to that student - of that student's choice. Collected data on generation or iteration and population  is then...