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1. 30 May 2015 | Modeling Scenarios | Contributor(s): Karen Bliss

2. 30 May 2015 | Modeling Scenarios | Contributor(s): Brian Winkel

We attempt to model the spread of an oil slick using incomplete data.SPANISH LANGUAGE VERSION  We have placed in Supporting Docs a Spanish version of this Student Modeling Scenario. Name will be x-y-S-Title-StudentVersion-Spanish

3. 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.

4. 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.

5. 30 May 2015 | Technique Narratives | Contributor(s): Brian Winkel

6. 30 May 2015 | Technique Narratives | Contributor(s): Brian Winkel

7. 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...

8. 30 May 2015 | Modeling Scenarios | Contributor(s): Brian Winkel

We are given data on the time and position of a shuttlecock as it falls to the ground from a set height. We attempt to model the falling object and we confront the different resistance terms and models. Finally, we introduce a new way of comparing models, the Akaike Information Criterion, and...

9. 30 May 2015 | Modeling Scenarios | Contributor(s): Brian Winkel

10. 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.

11. 30 May 2015 | Modeling Scenarios | Contributor(s): Brian Winkel

12. 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...

13. 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...

14. 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...

15. 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 are...

16. 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. 30 May 2015 | Presentations | Contributor(s): Brian Winkel

18. 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 technology...

19. 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. 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...