
1027SStochasticProcesses
04 Jun 2015  Modeling Scenarios
We build the infinite set of first order differential equations for modeling a stochastic process, the socalled birth and death equations. We will only need to use integrating factor solution strategy or DSolve in Mathematica for success. We work to build our model of random events which...

Browsing Your Way to Better Teaching
31 May 2015  Articles and Publications
We describe the use of browsing and searching (in libraries, online, inside sources, at meetings, in abstracts, etc.) as a way to stimulate the teacher of undergraduate mathematics, specifically in differential equations. The approach works in all other areas of mathematics. Browsing...

1005ASOilSlick
30 May 2015  Modeling Scenarios

1005SOilSlick
30 May 2015  Modeling Scenarios
We describe a modeling activity for students in which modeling with difference and differential equations is appropriate. We have used this model in our coursework for years and have found that it enlightens students as to the model building process and parameter estimation for a ...

1004SMicroorganismImmigration
30 May 2015  Modeling Scenarios
We present a modeling opportunity for population death with nonconstant immigration and suggest the use of both discrete and continuous models with a comparison of results.

Sylvanus Thayer Flipped Out Method Ahead of Its Time  JMM 2014
30 May 2015  Presentations
Sylvanus Thayer is dead, but the Thayer Method of teaching – modified as with all things – lives on at West Point. We discuss how students come to class prepared from reading and attempted scaffolded activities before class and how that energizes the classroom activities and...

Modeling Scenarios and Strategies in Differential Equations Course  JMM 2014
30 May 2015  Presentations
We present and discuss modeling strategies used to motivate the study of mathematics, especially in the area of differential equations. We offer accessible modeling scenarios for students in many disciplines and demonstrate how the activities draw students to the mathematics and develop a...

Technology Permeated Teaching of Differential Equations with Modeling at the Core  JMM 2014
30 May 2015  Presentations
From the beginning and throughout – that is the governing principle in our use of technology in teaching mathematics. Technology, in our case computer algebra systems and spreadsheets, are the go to instruments for student success, wherein simulations, solutions, structures, and success are...

Creating and Using Online Community Resources for Teaching Differential Equations with Modeling and Technology  2014 JMM
30 May 2015  Presentations
We are involved with building an online presence www.simiode.org in support of an effort to offer an alternative approach to teaching differential equations through modeling and technology, in SIMIODE  Systemic Initiative for Modeling Investigations and Opportunities with Differential...

SIMIODE Talk to Differential Equations class of DR Sheila Miller at New York City College of Technology  2015 May 16
30 May 2015  Presentations

SIMIODE – Modeling with Differential Equations in Inquiry Mode  MathFest 2013
30 May 2015  Presentations
We introduce SIMIODE  Systemic Initiative for Modeling Investigations and Opportunities with Differential Equations. We will describe the purpose, operation, and possibilities of a webbased community of teachers and learners of differential equations through modeling and use of technology...

SIMIODE  Systemic Initiative for Modeling Investigations and Opportunities with Differential Equations  MathFest 2014
30 May 2015  Presentations
We present details of a learning community for teachers and learners of differential equations, SIMIODE – Systemic Initiative for Modeling Investigations and Opportunities with Differential Equations, in which collaboration across and between campuses is afforded, peer reviewed and...

M&M's Can Drive the Study of Differential Equations and More!  Monmouth University Talk 2014 Sept 17
30 May 2015  Presentations
SIMIODESystemic Initiative for Modeling Investigations and Opportunities with Differential Equations (www.simiode.org) a community of teachers and learners who are interested in teaching and learning differential equations through modeling scenarios and technology up front and throughout the...

Modeling Opportunities with Differential Equations in the Classroom  MathFest 2013
30 May 2015  Presentations
We demonstrate a number of mathematical modeling activities for motivating and learning differential equations using modeling and technology. We shall engage those present in at least one modeling activity and demonstrate others. These include population modeling with M&M’s (simple and...

Differential Equations Taught in an Original Way  PosterSession  JMM 2015
30 May 2015  Presentations
We offer SIMIODE  Systemic Initiative for Modeling Investigations and Opportunities with Differential Equations, a community of teachers and learners of differential equations using modeling and technology at www.simiode.org. We are building a place for gathering and teaching, an...

Differential Equations Taught in an Original Way  2015 Jan 10  JMM
30 May 2015  Presentations
Application and modeling are beyond manipulation and solving in a differential equations course. We use modeling scenarios to drive the learning and to the mathematical concepts and techniques in a collegial learning community called SIMIODE  Systemic Initiative for Modeling Investigations and...

Using Applications to Motivate Differential Equations  AWM Research Symposium, 11 April 2015
30 May 2015  Presentations
•Motivation for this approach•Example applications•Assessment•Lessons learned  Fixing the “uhohs”•Discussion / Questions

1003SCollegeSavings
12 May 2015  Modeling Scenarios
We present a modeling opportunity for students in which they have to plan and model for saving for a child's complete college education.

Spuyten Duyvil Undergraduate Mathematics Conference, 2015 April 16, Manhattan College, Bronx NY  Modeling First Teaching of Differential Equations – SIMIODE
11 May 2015  Presentations
For the 10th Annual Spuyten Duyvil Undergraduate Mathematics Conference, Manhattan CollegeModeling First Teaching of Differential Equations – SIMIODE0930, 16 April 2015 Miguell Hall 207Brian Winkel, PROF Emeritus,Mathematical Sciences,United States Military AcademyWest Point NY 10996...