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    Stem Cells in Planaria Regeneration and Wound Healing
    Discussion questions to help guide students examining a graph of number of mitoses vs time for planaria injured or had amputations of their tails.

    Keywords: Stem cellsregenerationplanaria

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    Case Study: Genetic Variation and Speciation in the Black Tailed Rattlesnake complex (Crotalus molossus)
    It is important for biology students to understand how genetic variation is related to the formation of species in nature. This module is intended for students to obtain first hand experience with...

    Keywords: phylogeneticscase studySpeciationtree readingsystematicsTree thinkingPhylogeographydistance learninggenetic variation

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    Students Authoring Molecular Case Studies
    Poster on using case studies to help students develop their skills in reading primary literature and identifying authentic scientific problems by authoring their own case studies. Presented at the...

    Keywords: case studiesProtein StructureProtein Data BankMolecular Case Study2021 BIOME

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    Improving Civic and Scientific Literacy through Scaffolded Thematic Classroom Research Experiences
    Poster on encouraging civic and scientific literacy presented at the 2018 QUBES/BioQUEST Summer Workshop

    Keywords: scientific literacyauthentic researchcivic literacySummer Workshop 2018

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    3-051-ProjectileMotions-ModelingScenario
    We consider several instances of projectile flight without resistance, one on level ground and one from edge of cliff to determine maximum distance and placement.

    Keywords: trajectorylaunching radiantprojectile motionprojectileno resistanceangle of launch

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    1-144-HeatCool-ModelingScenario
    We offer an opportunity to build a mathematical model using Newton's Law of Cooling for a closed plastic baggie of liquid inside a liquid container.

    Keywords: temperatureNewton's Law of Coolingcooling

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    3-033-S-TimeUpTimeDown-ModelingScenario
    We seek to compare for the time a projectile takes to go vertically up with the time it takes to return to its starting position.

    Keywords: projectile motionapexvertical motion

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    5-024-PhGreatLakes
    In this teaching modeling scenario, we demonstrate how lessons on salt-tank compartmental modeling can be used to predict phosphorus levels in the Great Lakes.

    Keywords: Great Lakeslimnologycomparmentpollutioncompartmental modelsphosphorous

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    2020-TeachingModule-CarSuspension
    The modeling activity on car suspensions assumes that students have grappled with second order linear homogeneous differential equations with constant coefficients.

    Keywords: modulesuspensioncar suspensionsecond orderTeaching Module

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    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.

    Keywords: moduleoil slickTeaching Module

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    2020-Teaching Module-Applying Separation Of Variables
    This is one of several Teaching Modules prepare by the Principal Investigates of SIMIODE’s National Science Foundation grant and offered in 2020. The material offered is a complete narrative of how...

    Keywords: modulesEbolaseparation of variablesTeaching ModulesSeparation

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    1-061-SingularPerturbation-TechniqueNarrative
    This paper introduces the basics of singular perturbation methods for solving ordinary differential equations. Interactive examples will show how the smallness of physical parameters can...

    Keywords: perturbationsingular perturbation

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    1-060-RegularPerturbation-TechniqueNarrative
    This paper presents an introduction to a set of analytical approximations referred to as regular perturbation. This is a particular mathematical tool within the broader set of perturbation...

    Keywords: perturbationregular perturbationasymptotic expansionsanalytical approximationBernoulli equation

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    Vaccine Development and Testing
    Scientists have the tools and knowledge to develop safe, effective vaccines, from trials to vials. This resource addresses the process by which vaccines are designed, tested and regulated. Key...

    Keywords: immunology educationvaccine literacyvaccine hesitancy

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    Immunity and Vaccine Action
    From the cellular level on up, being aware of your interactions can help you stay safe. This resource addresses fundamental immunology and infectious disease concepts through a historical...

    Keywords: immunology educationvaccine literacyvaccine hesitancy

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    1-015-DimensionlessVariables-TechniqueNarrative
    This material introduces the idea of ``rescaling'' for ordinary differential equations (ODE's) by the use of dimensionless variables. In practice this is an extremely common and useful prelude to...

    Keywords: linearizationdimensional analysistime scalescalingdimensionless variablesspatial scale

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    7-006-LaplaceTransformBirth-TechniqueNarrative
    We present a way of introducing the Laplace Transform as the continuous analogue of a power series expression of a function.

    Keywords: Transformationspower series

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    5-012-LinearSystemConjecture-TechniqueNarrative
    Students go from the solution for y'(t) = k*y(t) to a natural extension to the solution conjecture of a system of two constant coefficient, homogeneous, linear differential equations introducing...

    Keywords: discovery learningconjecturesolutionsubstitution

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    5-010-MatrixExponential-TechniqueNarrative
    The matrix exponential is a powerful computational and conceptual tool for analyzing systems of linear, constant coefficient, ordinary differential equations (ODE's). This narrative offers a quick...

    Keywords: matrix esponentialPutzer's Algorithmdiagonalizationeigenvalueseigenvectors

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    3-090-ChebyshevPolynomialSolution-TechniqueNarrative
    The Chebyshev equation is presented as a vehicle to view series solutions techniques for linear, second order homogeneous differential equations with non-constant coefficients.

    Keywords: series soluotionpolynomial solutionsChebyshev polynomialsChebyshev differential equations

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