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  1. 1-027-S-StochasticProcesses

    04 Jun 2015 | Modeling Scenarios

    We build the infinite set of first order differential equations for modeling a stochastic process, the so-called 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...

  2. Browsing Your Way to Better Teaching

    31 May 2015 | Articles and Publications

    We describe the use of browsing and searching (in libraries, on-line, 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...

  3. 1-005A-S-OilSlick

    30 May 2015 | Modeling Scenarios

  4. 1-005-S-OilSlick

    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 ...

  5. 1-004-S-MicroorganismImmigration

    30 May 2015 | Modeling Scenarios

    We present a modeling opportunity for population death with non-constant immigration and suggest the use of both discrete and continuous models with a comparison of results.

  6. 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...

  7. 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...

  8. 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...

  9. 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 on-line 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...

  10. SIMIODE Talk to Differential Equations class of DR Sheila Miller at New York City College of Technology - 2015 May 16

    30 May 2015 | Presentations

  11. 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 web-based community of teachers and learners of differential equations through modeling and use of technology...

  12. 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...

  13. M&M's Can Drive the Study of Differential Equations and More! - Monmouth University Talk 2014 Sept 17

    30 May 2015 | Presentations

    SIMIODE-Systemic 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...

  14. 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...

  15. 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...

  16. 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...

  17. 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 “uh-ohs”•Discussion / Questions

  18. 1-003-S-CollegeSavings

    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.

  19. 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...

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