Skip to Main Content
Powered by
QUBES
Login
close
SCUDEM
EXPO
SIMIODE EXPO 2024
SIMIODE EXPO 2023
SIMIODE EXPO 2022
SIMIODE EXPO 2021
Textbook
Redeem Access or Download Code
Third Party Sales
Browse
Starter Kit
Authors
About
Newsletter
Members
224
Announcements
2
Blog
34
Calendar
Collections
Forum
1
Projects
Resources
Usage
Resources
Filter
Text Search:
Resource Type
(68)
Modeling Scenario
(54)
Technique Narrative
(0)
Potential Scenario
(1)
Article or Presentation
(12)
Free Online Textbook
(1)
General Resource
(0)
Sample Syllabus
(0)
Assessment Rubric or Guide
(0)
SCUDEM
(0)
EXPO
(0)
Differential Equation Type
(68)
ODE
(68)
PDE
(0)
Difference
(10)
Delay
(0)
Integral
(0)
First
(45)
Second
(16)
Higher
(0)
Linear
(31)
Nonlinear
(28)
System
(15)
Constant Coeff
(17)
Homogeneous
(19)
Nonhomogeneous
(13)
Other
(0)
Technique
(165)
Boundary Value Problems
(13)
Eigen Methods
(7)
Exact Equations
(0)
Fourier Series
(0)
Initial Value Problems
(105)
Integrating Factor
(12)
Laplace Transform
(5)
Linear Algebra
(2)
Matrices
(3)
Numerical Methods
(14)
Parameter Estimation
(68)
Qualitative Behavior
(11)
Separable
(20)
Separation of Variables
(44)
Series
(0)
Substitution Methods
(3)
Theory (general)
(0)
Undetermined Coefficients
(0)
Variation of Parameters
(1)
Other
(10)
Qualitative Analysis
(68)
Equilibrium
(7)
Stability
(3)
Attractor
(0)
Phase Plane
(0)
Graphical analysis
(23)
Eigenvalue analysis
(0)
Parameters
(61)
Other
(0)
Application Area
(68)
Chemistry
(10)
Economics
(4)
Engineering
(4)
Humanities
(0)
Life Sciences
(25)
Mathematics
(12)
Modeling (general)
(49)
Physics
(26)
Social Sciences
(4)
Other
(0)
Course
(68)
Precalculus
(0)
Calculus 1
(1)
Calculus 2
(34)
Calculus 3 (multivariable)
(0)
Differential Equations
(67)
Modeling
(60)
Other
(0)
Course Level
(68)
Introductory
(64)
Upper Level
(57)
Graduate
(0)
High School
(50)
Other
(0)
Lesson Length
(68)
Portion of one class period
(44)
One class period
(20)
Multiple class periods
(0)
One term (semester or quarter)
(0)
One year
(0)
Other
(9)
Technology
(68)
Derive
(0)
Excel
(17)
GeoGebra
(1)
Maple
(2)
Mathematica
(50)
MathCad
(0)
MatLab
(2)
Octave
(1)
Python
(1)
R
(1)
SAGE
(1)
Desmos
(0)
Calculator
(0)
None
(1)
Other
(12)
Approach
(68)
Directed
(8)
Flipped
(0)
Guided
(52)
Open-ended
(3)
Discussion
(1)
Develop model
(1)
Other
(10)
Skills
(68)
Data collection
(28)
Data analysis
(57)
Programming
(0)
Statistics
(3)
Other
(11)
Key Scientific Process Skills
(56)
Reading research papers
(0)
Reviewing prior research
(2)
Asking a question
(53)
Formulating hypotheses
(45)
Designing/conducting experiments
(18)
Predicting outcomes
(27)
Gathering data/making observations
(24)
Analyzing data
(47)
Interpreting results/data
(45)
Displaying/modeling results/data
(43)
Communicating results
(35)
Translating into mathematics
(0)
Assessment Type
(56)
Assessment of individual student performance
(0)
Assessment of student groups/teams
(1)
Assignment
(0)
Exam/quiz, in class
(0)
Exam/quiz, take home
(0)
Homework
(53)
Answer clicker-type question(s)
(0)
Answer essay question(s)
(0)
Answer fill in the blank question(s)
(0)
Answer multiple choice question(s)
(0)
Answer short answer question(s)
(0)
Answer true/false question(s)
(0)
Create a concept map
(0)
Create a diagram, drawing, figure, etc.
(0)
Create a website
(0)
Create graph, table etc. to present data
(0)
Design an experiment or research study
(0)
Design/present a poster
(0)
Give an oral presentation
(0)
Informal in-class report
(0)
Interpret data
(0)
Order items (e.g. strip sequence)
(0)
Participate in discussion
(0)
Peer evaluation
(0)
Post-test
(0)
Pre-test
(0)
Produce a video or video response
(0)
Respond to metacognition/reflection prompt
(0)
Self evaluation
(0)
Solve problem(s)
(0)
Written assignment: One minute paper
(0)
Written assignment: Brochure
(0)
Written assignment: Essay
(0)
Written assignment: Figure and or figure legend
(0)
Written assignment: Report
(53)
Written assignment: Literature review
(1)
Pedagogical Approaches
(52)
Think-Pair-Share
(0)
Brainstorming
(0)
Case Study
(2)
Clicker Question
(0)
Collaborative Work
(4)
One Minute Paper
(0)
Reflective Writing
(0)
Concept Maps
(0)
Strip Sequence
(0)
Computer Model
(2)
Physical Model
(1)
Interactive Lecture
(0)
Pre/Post Question
(0)
Guided inquiry/investigation
(46)
Vision and Change Core Competencies - Ability
(54)
Create and develop models
(51)
Use quantitative reasoning
(51)
Design simulations
(7)
Tap into interdisciplinary study
(10)
Communicate and collaborate with mathematics community
(0)
Communicate and collaborate with other disciplines
(3)
Understand the relationship between material and society
(0)
Principles of How People Learn
(53)
Motivates student to learn material
(51)
Focuses student on the material to be learned
(49)
Develops supportive community of learners
(0)
Leverages differences among learners
(2)
Reveals prior knowledge
(0)
Requires student to do the bulk of the work
(0)
Bloom's Cognitive Level
(49)
Foundational: factual knowledge & comprehension
(2)
Application & Analysis
(48)
Synthesis/Evaluation/Creation
(0)
Includes clear efforts on Issues
(0)
Diversity
(0)
Equity
(0)
Inclusion
(0)
Enhancement of all
(0)
Applied Filters
Downloads
Views
Date
Relevance
Article or Presentation
190
views
57
downloads
0
comments
2011-Brian_Winkel-Sourcing_for_parameter_estimation_and_study_of_logistic_differential_equation
We present two simulation activities for students to generate real data and several data sources for the purpose of estimating parameters in the logistic differential equation model.
data
parameter estimation
parameter
logistic equation
source
Article or Presentation
190
views
70
downloads
0
comments
2011-Brian_Winkel-Parameter_Estimates_in_Differential_Equation_Models_for_Chemical_Kinetics
We estimate the parameters present in several differential equation models of chemical kinetics and logistic growth.
kinetics
parameter estimation
logistic
chemical kinetics
chemical reaction
Article or Presentation
184
views
47
downloads
0
comments
2011-Brian_Winkel-Parameter_Estimates_in_Differential_Equation_Models_for_Population_Growth
We estimate the parameters present in several differential equation models of population growth, specifically single species exponential and logistic growth, and multiple species competition and predation models.
population model
parameter estimation
population
parameter
Article or Presentation
181
views
65
downloads
0
comments
2021-Brian_Winkel-Modelling_sublimation_of_carbon_dioxide
We report results in our efforts to model sublimation of carbon dioxide and the associated kinetics order and parameter estimation issues in our model.
data
parameter estimation
carbon dioxide
sublimation
dry ice
Article or Presentation
170
views
47
downloads
0
comments
2015-Brian_Winkel-Informed_Conjecturing_of_Solutions_for_Differential_Equations_In_a_Modeling_Contex
We examine (1) first order exponential growth or decay and (2) second order, linear, constant coefficient differential equations, and show the advantage of learning differential equations in a modeling context for informed conjectures of their...
exponential growth
solutions
linear systems
decay
conjecture
Article or Presentation
235
views
70
downloads
0
comments
2009-Brian_Winkel-Population_modelling_with_MandMs
Several activities in which population dynamics can be modeled by tossing M&M’s® candy are presented.
simulation
parameter estimation
immigration
death
difference equation
Modeling Scenario
406
views
485
downloads
0
comments
1-001-MM-DeathAndImmigration-ModelingScenario
We conduct a simulation of death and immigration, using a small set of "individuals", m&m candies or any two sided object (coin, chips), in which upon tossing a set of individuals we cause some to die and others then to immigrate. Modeling ensues!
simulation
immigration
death
Spanish
dats
Winkel
Brian Winkel
Article or Presentation
844
views
412
downloads
0
comments
2020-TeachingModule-SpringDesignToMeetSpecsAtMinimumCosts
We discuss a Modeling Scenario in which students are asked to design a spring mass system at minimum costs give relative costs of features of the spring.
module
optimization
spring mass
mass
spring\
cost
Teaching Module
minimal cost
Article or Presentation
243
views
529
downloads
0
comments
2020-TeachingModule-ModelingNonlethalInfluenzaEpidemic
We discuss the modeling efforts and tools for success in modeling the spread of nonlethal influenza in an English boarding school
module
epidemic
boarding school
Teaching Module
Article or Presentation
201
views
582
downloads
1
comments
2020-TeachingModule-ModelingFallingColumnOfWater
We discuss how to model a falling column of water empirically and analytically from first principles in physics laws.
module
column of water
Torricelli's Law
Torricelli
Teaching Module
Potential Scenario
338
views
95
downloads
0
comments
2010-Brian_Winkel-Parameter estimates in differential equation models for chemical kinetics
We discuss the need for devoting time in differential equations courses to modelling and the completion of the modelling process with efforts to estimate the parameters in the models using data.
kinetics
chemical kinetics
zeroth order reaction
first order reaction
second order reaction
Article or Presentation
167
views
54
downloads
0
comments
2009-Agnes_Rash-Brian_Winkel-Birth_and_Death_Process_Modeling_Leads_to_the_Poisson_Distribution
In this paper there are details of development of the general birth and death process from which we can extract the Poisson process as a special case.
Probability
Mean
Poisson process
birth and death process
infinite number of differential equations
Article or Presentation
274
views
81
downloads
0
comments
2009-Brian_Winkel-Modelling_Growth_Of_an_OilSlick
An oil-slick spreads at sea. From time to time, but irregularly, a helicopter is dispatched. On each trip, it arrives over the slick, the pilot takes a picture, waits 10 minutes, takes another, and heads home. Model this.
differential equations
simulation
parameter estimation
difference equation
Modeling Scenario
291
views
236
downloads
0
comments
1-078-MonodGrowthModel-ModelingScenario
Students model growth of bacteria E. coli in a limiting nutrient environment using data from a historical study.
bacteria
nutrient cycles
growth
Monod
consumption
Article or Presentation
253
views
613
downloads
0
comments
2020-TeachingModule-ModelingSpreadOfOilSlick
This is support material and video for teaching a Modeling Scenario using a first order ODE to model the spread of an oilslick with incomplete data.
module
oil slick
Teaching Module
Modeling Scenario
1161
views
628
downloads
0
comments
3-065-UpDown-ModelingScenario
We model the height of a launched object which is subject to resistance proportional to velocity during its flight. We ask questions about the motion as well, e.g., highest point or apex and terminal velocity.
terminal velocity
Newton's Second Law of Motion
velocity
motion
apex
Modeling Scenario
384
views
501
downloads
1
comments
1-017-DiseaseSpread-ModelingScenario
Using a grid and m&m candies, we simulate the spread of disease. Students conduct the simulation and collect data to estimate parameters (in several ways) in a differential equation model for the spread of the disease.
Modeling Scenario
316
views
148
downloads
0
comments
1-014-DrainingContainers
Given two rectangular circular cylinders of water with the same volume, but different radii, with a small bore hole of same radius on the center of the bottom through which water exits the cylinder, which empties faster?
containers
tank
flow
Torricelli's Law
draining
fixed volume
Modeling Scenario
311
views
199
downloads
0
comments
1-013-SleuthingWithDifferentialEquations-ModelingScenario
We present several situations in which differential equation models serve to aid in sleuthing and general investigations.
projectile motion
acceleration
Newton's Law of Cooling
speeding
Modeling Scenario
355
views
223
downloads
0
comments
1-045-TimeOfDeath-ModelingScenario
Students are asked to determine the time of death given both environmental temperature situations and two observations of body temperature under several different circumstances.
body mass
temperature
death
Newton's Law of Cooling
body temperature
Results 1 - 20 of 68
Display #
5
10
15
20
25
30
50
100
500
1000
Start
Prev
1
2
3
4
Next
End