25 Jun 2016 | Modeling Scenarios
We offer raw data collected from a webcam and a thermometer for evaluating the strength of steeping tea. We ask students to build a mathematical model using the data to predict how long the tea should steep before essentially reaching saturation.
22 Jun 2016 | Modeling Scenarios
We offer raw data collected from two thermometers used in the smoking process of Southern barbecue. One thermometer measures the temperature inside of the smoke chamber and the other measures the internal temperature of the meat. This data can be used to model and predict the amount...
Teaching Differential Equations Using a Modeling First Approach in SIMIODE
27 Apr 2016 | Presentations
A presentation, "Teaching Differential Equations Using a Modeling First Approach in SIMIODE," at the contributed Paper Session on Pedagogy, at the MAA Metro New York Section held at Vaughn College of Aeronautics and Technology, 4:55 - 5:10, 1 May 2016,...
Integrating writing and projects into mathematics courses
27 Apr 2016 | Presentations
Presentation slides for Project NExT Panel – Teaching with Projects and Technology at MAA Metro New York Section held at Vaughn College of Aeronautics and Technology, 3:15-4:15, 1 May 2016, E101.Abstract: We share a history and examples of a personal evolution for modeling...
07 Apr 2016 | Modeling Scenarios
This activity is a gentle introduction to modeling via differential equations. The students will learn about exponential growth by modeling the rate at which the word jumbo has propagated through English language texts over time.
SIMIODE - Building a Learning Community to Teach Modeling-First Differential Equations - A CONVERSATION
04 Feb 2016 | Presentations
A presentation, SIMIODE - Building a Learning Community to Teach Modeling-First Differential Equations - A CONVERSATION, by Dr. Brian Winkel, Director SIMIODE, Cornwall NY USA at Oregon Institute of Technology, Klamath Falls OR USA on 21 January 2016.
SIMIODE - Building a Learning Community to Teach Modeling-First Differential Equations
03 Feb 2016 | Presentations
Talk given by Brian Winkel, Director of SIMIODE, at Joint Mathematics Meetings 2016 at the Contributed Paper Session: Teaching and Learning of Undergraduate Ordinary Differential Equations, 9:00 AM Friday, 8 January 2016, Washington State Convention Center, Rm 617
24 Jan 2016 | Modeling Scenarios
This activity is structured as a letter from a company seeking assistance with a mathematical problem. The students will act as professional mathematical consultants and write a report analyzing the client's problem. The client company is a fictional organization which advocates for the use...
24 Dec 2015 | Modeling Scenarios
This activity gives students a chance to build the underlying differential equation and/or difference equation for a mixing problem using tangible objects (fish) and a student-designed restocking and fishing plan in a lake. The mixture is of two species of fish, one being the current sole...
11 Dec 2015 | Modeling Scenarios
This modeling scenario investigates the massive algal blooms that struck Lake Chapala, Mexico, in 1994. After reading a summary of news articles on the incident, students create an ODE system model from a verbal description of the factors, visualize this system using an executable Java applet...
Biology-Driven Approaches to Teaching Differential Equations
30 Sep 2015 | Presentations
At the International Symposium on Biomathematics and Ecology Education and Research 2015 (see https://about.illinoisstate.edu/biomath/beer/Pages/default.aspx), 9-11 October 2015, Illinois State University, State Farm Hall of Business 145, 9:15-9:40 AM , Brian Winkel gives talk,...
User Comments on SIMIODE 1-1-M&M - Death and Immigration Modeling Scenario
21 Sep 2015 | Articles and Publications
John Thoo, Department of Mathematics and Statistics, Yuba College, offers detailed narrative review on his use of this material
2010-JungckEtAl-Epidemic Modeling with Bean Bags
30 Jun 2015 | Potential Scenario Ideas
Jungck, John R., Holly Gaff, and Anton E. Weisstein. 2010. Mathematical Manipulative Models: In Defense of “Beanbag Biology”. CBE—Life Sciences Education. 9: 201–211.This paper offers up samples of projects from the Bio- QUEST Curriculum Consortium’s...
Quantitative Undergraduate Biology Education and Synthesis
27 Jun 2015 | General Resources
QUBES. 2014. Quantitative Undergraduate Biology Education and Synthesis. https://qubeshub.org/resources/466 . Accessed 27 June 2015.This is a remarkable site committed to quantitative teaching of biology. NSF (and other significant organization) funded this HUBZero community which is attempting...
2011Kreith Mathematics of Global Change
25 Jun 2015 | Potential Scenario Ideas
Kreith, Kurt. 2011. The Mathematics of Global Change. The Journal of Mathematics Education at Teachers College. Fall-Winter, Volume 2: 37-44.The authors discuss broad issues and then focus on specifics like exponential growth, logistic growth, and the logistic equation with delay. The...
2010Winkel Parameter estimates in models for chemical kinetics
20 Jun 2015 | Potential Scenario Ideas
Winkel, B. J. 2010. Parameter estimates in differential equation models for chemical kinetics. International Journal of Mathematical Education in Science and Technology. 42(1): 37- 51.Article Abstract: We discuss the need for devoting time in differential equations...
1997Shulman Using Original Sources to Teach the Logistic Equation
20 Jun 2015 | Potential Scenario Ideas
Shulman, Bonnie. 1997. Module 766 - Using Original Sources to Teach the Logistic Equation. COMAP: 163-190. Downloaded FREE from https://www.academia.edu/4372451/Using_Original_Sources_to_Teach_the_Logistic_EquationThis is the actual module.ABSTRACT: This Module uses original...
General Resources For Teaching Differential Equations
19 Jun 2015 | General Resources
This is a growing list of online and free resources for teaching differential equations with emphasis on modeling and technology. The categories in which resources are offered are:Texts (A complete listing can be found here.)VideosVideo sites coming from other fieldsSources Containing Modeling...
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...
First year calculus students as in-class consultants
31 May 2015 | Articles and Publications
We demonstrate how we use traditional text book calculus problems to involve first year calculus students as consultants. Students are asked to solve a “real world” problem after interviewing a “guest” client –a printer. Students must go through the initial...