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  1. 3-008-S-HangTime

    31 May 2015 | Modeling Scenarios | Contributor(s):: Brian Winkel

  2. 1-007-S-AntTunnelBuilding

    31 May 2015 | Modeling Scenarios | Contributor(s):: Brian Winkel

    We pose the prospect of modeling just how long an ant takes to build a tunnel. With a bit of guidance students produce a model for the time it takes to build a tunnel of length x into the side of a damp sandy hill.

  3. 1-006-S-FinancingSavingsAndLoans

    31 May 2015 | Modeling Scenarios | Contributor(s):: Brian Winkel

  4. Browsing Your Way to Better Teaching

    31 May 2015 | Articles and Publications | Contributor(s):: Brian Winkel

    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...

  5. 1-005B-S-ChemDataCollection

    30 May 2015 | Modeling Scenarios | Contributor(s):: Brian Winkel

  6. 1-005A-S-ChemDataCollection

    30 May 2015 | Modeling Scenarios | Contributor(s):: Brian Winkel

  7. 1-005A-S-OilSlick

    30 May 2015 | Modeling Scenarios | Contributor(s):: Karen Bliss

  8. 1-005-S-OilSlick

    30 May 2015 | Modeling Scenarios | Contributor(s):: Brian Winkel

  9. Population Modeling with M and M's

    30 May 2015 | Articles and Publications | Contributor(s):: Brian Winkel

    Several activities in which population dynamics can be modeled by tossing M&M’s® candy are presented. Physical activities involving MandM’s can be modeled by difference equations and several population phenomena, including death and immigration, are studied. 

  10. 1-004-S-MicroorganismImmigration

    30 May 2015 | Modeling Scenarios | Contributor(s):: Brian Winkel

    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.

  11. 1-002-S-Text-IntegratingFactor

    30 May 2015 | Technique Narratives | Contributor(s):: Brian Winkel

  12. 1-001-S-Text-SeparationOfVariables

    30 May 2015 | Technique Narratives | Contributor(s):: Brian Winkel

  13. 1-001-S-MandMDeathAndImmigration

    30 May 2015 | Modeling Scenarios | Contributor(s):: Brian Winkel

    We describe a classroom activity in which students use M&M candies to simulate death and immigration. Students build a mathematical model, collect data, estimate parameters, and compare their model prediction with their actual data. There is a video of one run of the main simulation in this...

  14. 3-019-S-ShuttlecockFall

    30 May 2015 | Modeling Scenarios | Contributor(s):: Brian Winkel

  15. 3-016-S-FallingCoffeeFilters

    30 May 2015 | Modeling Scenarios | Contributor(s):: Brian Winkel

  16. 3-013-S-WhiffleBallFall

    30 May 2015 | Modeling Scenarios | Contributor(s):: Brian Winkel

    We are given data on the time and position of a whiffle ball as it falls to the ground. We attempt to model the falling ball and we confront the different resistance terms and models. Finally, we introduce a new way of comparing models, the Akaike Information Criterion, and apply it to our models.

  17. 3-020-S-ChordPathTime

    30 May 2015 | Modeling Scenarios | Contributor(s):: Brian Winkel

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

    30 May 2015 | Presentations | Contributor(s):: Brian Winkel

    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...

  19. SIMIODE - Systemic Initiative for Modeling Investigations and Opportunities with Differential Equations - MathFest 2014

    30 May 2015 | Presentations | Contributor(s):: Brian Winkel

    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...

  20. Active Assessment and Group/ Individual Final Exams - JMM 2014

    30 May 2015 | Presentations | Contributor(s):: Brian Winkel

    We present and discuss an approach we have used in a mathematical modeling course in which in-class assessment through overlooking small group work, presentations, routine “board" work in which students offer up their ideas simultaneously for teacher and peer feedback.The culmination...