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    1994-Brian_Winkel-Designated_Student_Grading _as_a_Learning_Device
    We describe how we engaged students in the course to grade regular homework assignments of that same class and the added learning opportunities in doing so.
    student grader
    Potential Scenario
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    2006-Salem-Abudiab-Labview-An Interactive Teaching Tool for a Differential Equations Class
    It is evident that computer based learning has become an essential part of education systems. It provides animation and interactive processes that are not possible with textbooks.
    javavisualizationvirtual labpendulumLabviecomputer assisted instructionharmonic motion
    Potential Scenario
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    2013-Alicia_Caldwell-Students Rise to the Challenge of Modeling Yeast Growth Despite Sour Hiccups from Imperfect Data
    This paper describes a lab in which students in an Applied Mathematics in Biology course observe the growth of Saccharomyces cerevisiae, a yeast strain, in differing sugar concentrations for use in learning modeling.
    Saccharomyces cerevisiaelogisticyeastdeathgrowthsugaralcohol
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    2012-Hassan_Moore-Using projects to stimulate learning in mathematics and engineering mathematics courses
    Given that time is a premium in the academy and project creation is a time consumer, three original projects, which may be injected into any Calculus III, Differential Equations, or Engineering Mathematics course, have been created.
    solutionsclass projectsphysical phenomenon
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    2015-Erzo-Luttmer-Four Models of Knowledge Diffusion and Growth
    This paper describes how long-run growth emerges in four closely related models that combine individual discovery with some form of social learning.
    knowledge diffusionstationary distributionsproductivity distributionreaction-diffusion equationsquasi-stationary distributions
    Potential Scenario
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    2015-Beier-EtAl-Building Context with Tumor Growth Modeling Projects in Differential Equations
    Here we present two projects related to tumor growth appropriate for a first course in differential equations. They illustrate the use of problem-based learning to reinforce and extend course content via a writing or research experience.
    tummor growthresearch experience
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    2014-John_Cimbala-Dynamic System Response
    In this learning module, we discuss the dynamic system response of sensors and their associated electronic circuits.
    sensor networksoscillationssystem responseelectronic circuit
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    1999-Marchand-McDevitt-Learning Differential Equations by Exploring Earthquake Induced Structural Vibrations
    The project takes full advantage of analytical, numerical, and qualitative techniques to explore the mechanical vibrations of buildings during an earthquake.
    earthquakenondimensionalizationCoulomb dampingmechanical vibration
    Article or Presentation
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    2015-Technology_and_the_Mathematics_Curriculum-CUPM_Curriculum_Guide_to_Majors_in_the_Mathematical _Sciences
    What role should technology play in teaching and learning undergraduate mathematics? This issue is addressed.
    classroomcurriculumtechnologyCUPM
    Article or Presentation
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    47

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    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 growthsolutionslinear systemsdecayconjecture
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    2017-Brandi-Garcia-Motivating engineering students to math classes - Practical experience teaching ODEs
    In this paper we propose an approach to teaching-learning process of mathematical concepts to engineering students with a motivational factor: a practical problem to be modeled in which students must apply concepts seen in class, in particular...
    computational toolsteachingengineering studentspractical problem
    Potential Scenario
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    2019-Ekici_Plyley. Inquiry-Based_Modeling_of_Population_Dynamics_With_Logistic_Differential_and_Difference_Equations
    Inquiry-based learning activities on modeling and controlling the growth of locally relevant species, such as lionfish or sea turtles, are developed by the authors.
    population dynamicslogisticInquiry-based modelingIBL
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    2001-Cheng-Teaching mathematical modelling in Singapore schools
    The purpose of this paper is to examine the possibility of introducing the teaching of mathematical modelling to the secondary school curriculum in Singapore.
    teachinglogisticsecondary school mathematicsBarnacle GeeseSingapore
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    1999-Long-Weiss-The Velocity Dependence of Aerodynamic Drag A Primer for Mathematicians
    This paper is exactly what it says it is, namely, a Primer for Mathematicians. There are ample models, data, attention to such issues as Reynolds’ numbers, and attention to aerodynamics issues.
    drag forceaerodynamics
    Article or Presentation
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    2008-Brian_Winkel-Fourier_Series-Optimization_Opportunity
    We discuss the introduction of Fourier series as an immediate application of optimization of a function of more than one variable.
    optimizationdiscoveryFourierFourier seris
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    2015-Cano-EtAl-Bringing partial differential equations to life for students
    This work describes how to use an authoring tool, Easy Java Simulations, to build interactive simulations using FreeFem++ (Hecht F 2012 J. Numer. Math. 20 251) as a PDE solver engine.
    Java SimulationFreeFemauthoring toolsauthoring methodsphysical modellingclassroom teaching
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    2006-Wilensky-Reisman-Thinking Like a Wolf a Sheep or a Firefly
    We describe a computation-based approach that enables students to investigate the connections between different biological levels using agent-based, embodied modeling tools.
    simulationNetLogopredator-preyagent-basedwolffox
    Potential Scenario
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    1999-Kowalczyk-Hausknecht-Using DEs To Model Real World Data
    With the increasing availability of easy to use interactive differential equation software, we convinced ourselves to completely redesign the way we teach differential equations.
    circuitTorricelli's LawHooke's LawRC circuitharmonic oscillatorglucoseglucose tolerance test
    Article or Presentation
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    2013-Brian_Winkel-Reflecting_On_Walls
    We reflect on our passion for teaching mathematics, useful mathematics, by considering our understandings of just what a wall is and what a wall means to us.
    mathematicsmathematical modellearningcell wall
    Potential Scenario
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    2020-Cline-EtAl-A Vision for Projects Across the Mathematics Curriculum
    We describe a model that incorporates projects at all stages across the undergraduate mathematics curriculum. Finally, we provide samples of projects that we have used in selected courses.
    projectstechnical writinginterdisciplinary skills