
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...

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...

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...

SIMIODEa 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...

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...

1090TEmptySphericalTank
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...

1090SEmptySphericalTank
12 Nov 2016  Modeling Scenarios

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...

1110TSnailsInaTidePool
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...

SIMIODE – A Community for Teaching ModelingFirst 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...

Reflection  Slowly Introducing Modeling First into Differential Equations Classes
24 Sep 2016  Sample Syllabi and Course Reflections

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.

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...

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): 158169.Abstract: We examine two differential equations, (1) first order exponential growth or decay and (2) second...

Logistics of Mathematical ModelingFocused 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...

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...

Teaching Math Modeling: Emphasizing the Transform Step with MicroProjects
06 Sep 2016  Articles and Publications
This paper describes and evaluates an effort to improve firstyear college math students’ ability to quantitatively setup a mathematical model given an illdefined problem. Six specific assignments were created for a treatment group of 70 students as part of a course of 250 students. Grade...

1095TRatingChessPlayers
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...

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...

1001BTMAndMDeathImmigrationMystery
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...