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  1. 1-005A-S-ChemDataCollection

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

  2. 1-005A-S-OilSlick

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

  3. 1-005-S-OilSlick

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

  4. 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. 

  5. 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.

  6. 1-002-S-Text-IntegratingFactor

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

  7. 1-001-S-Text-SeparationOfVariables

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

  8. 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...

  9. 3-019-S-ShuttlecockFall

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

  10. 3-016-S-FallingCoffeeFilters

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

  11. 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.

  12. 3-020-S-ChordPathTime

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

  13. Sylvanus Thayer Flipped Out Method Ahead of Its Time - JMM 2014

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

    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...

  14. SIMIODE – Modeling with Differential Equations in Inquiry Mode - MathFest 2013

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

    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...

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

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

  16. Creating and Using Online Community Resources for Teaching Differential Equations with Modeling and Technology - 2014 JMM

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

    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...

  17. Technology Permeated Teaching of Differential Equations with Modeling at the Core - JMM 2014

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

    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...

  18. Modeling Scenarios and Strategies in Differential Equations Course - JMM 2014

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

    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...

  19. 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...

  20. 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...