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3-019-S-ShuttlecockFall
30 May 2015 | Modeling Scenarios | Contributor(s):: Brian Winkel
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3-016-S-FallingCoffeeFilters
30 May 2015 | Modeling Scenarios | Contributor(s):: Brian Winkel
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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.
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3-020-S-ChordPathTime
30 May 2015 | Modeling Scenarios | Contributor(s):: Brian Winkel
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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...
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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...
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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...
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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...
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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...
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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...
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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...
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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
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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...
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Modeling Opportunities with Differential Equations in the Classroom - MathFest 2013
30 May 2015 | Presentations | Contributor(s):: Brian Winkel
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...
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Differential Equations Taught in an Original Way - PosterSession - JMM 2015
30 May 2015 | Presentations | Contributor(s):: Brian Winkel
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...
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Differential Equations Taught in an Original Way - 2015 Jan 10 - JMM
30 May 2015 | Presentations | Contributor(s):: Brian Winkel
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...
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Application Driving Learning in Differential Equations - 2015 Jan 12 - JMM
30 May 2015 | Presentations | Contributor(s):: Brian Winkel
We discuss a flipping of the learning in which application comes before the introduction of the mathematics. In a differential equations course in which modeling is the driving force and technology is used throughout the learning process we demonstrate how a learning community at...
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Using Applications to Motivate Differential Equations - AWM Research Symposium, 11 April 2015
30 May 2015 | Presentations | Contributor(s):: Jessica Libertini
•Motivation for this approach•Example applications•Assessment•Lessons learned - Fixing the “uh-ohs”•Discussion / Questions
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1-003-S-CollegeSavings
12 May 2015 | Modeling Scenarios | Contributor(s):: Brian Winkel
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1-002-S-Tossing
11 May 2015 | Modeling Scenarios | Contributor(s):: Brian Winkel