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    2003-Rasmussen-Keynes-Lines of Eigenvectors and Solutions to Systems of Linear Differential Equations
    The purpose of this paper is to describe an instructional sequence where students invent a method for locating lines of eigenvectors and corresponding solutions to systems of two first order linear...

    Keywords: instructional designeigenvalueseigenvalue analysis

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    Advancing Global Learning Through a Collaborative Online International Learning (COIL) Module on the United Nations Sustainable Development Goals (UN SDGs)
    An increasingly interconnected world presents opportunities for globally relevant curricula in the classroom. Implementing collaborative online international learning (COIL) modules within...

    Keywords: Collaborative Online International LearningGlobal LearningPlants and SocietyUnited Nations Sustainable Development GoalsMedicinal PlantsPhytochemicalsPlant Natural Products

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    4-065-GasInjection-ModelingScenario
    Students use programs (or create their own code) based on exponential box-scheme approximations for solving systems of nonlinear differential equations that contain small parameters for the highest...

    Keywords: Prandtl-Blasius equationsboundary layergas injectionesponential box schemeuniform convergenceFORTRAN

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    3-042-CatapultLaunch-ModelingScenario
    We maximize the range of a projectile by backing up an incline in the opposite direction of the range to give some initial lift. Find the position on the hill from which to launch the projectile to...

    Keywords: projectile motioncatapultuphilllaunch angle

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    Joel E. Greengiant Learns About Peas: From Nucleotides to Selection
    This case study follows purveyors of peas, Joel E. and Jolene Greengiant, as they learn about the origin, biochemistry, genetics and eventual artificial selection of sweet (wrinkled) peas, all in...

    Keywords: geneticspopulation geneticsEvolutionintroductory biologycase studybiologyResources @ NSF - NCCSTSmeiosisMendel’s peaspea plantPisum sativumMendel’s Lawsmolecular geneticsmutationnucleotide insertionartificial selectionstarch synthesisstarch branching enzymeplant domesticationlegumesResources @ QUBES - Teaching & Reference

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    2014-Andre_De Ross-Modeling Population Dynamics
    This course is intended as an introduction to the formulation, analysis and application of mathematical models that describe the dynamics of biological populations.

    Keywords: predator-preycompetitionpopulationgrowthbifrucationtext

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    1994-Paul_Davis-Asking Good Questions about Differential Equations
    A general essay about the Rule of Three – numerical, algebraic, and graphical perspectives + modeling with one illustration about Irish population.

    Keywords: questionspopulationnumericalphysical contextgraphicalalgebraicIreland

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    Draft Version: Energy Balance Models
    This module introduces the student to the process of mathematical modeling.

    Keywords: modulemathematical modelingbenergy balanceclimate modelDIMACSResources @ DIMACSclimatein-class activityResources @ QUBES - Teaching & Referencescienceexperiment

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    2007-I-Liang_Chern-Mathematical Modeling and Differential Equations
    In this course, I will mainly focus on, but not limited to, two important classes of mathematical models by ordinary differential equations: • population dynamics in biology • dynamics in...

    Keywords: population dynamicsecologydynamicsclassical mechanicschemical reaction

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    Adaptation and Facilitation of Small Group Activities in an Online Introductory Biology Class
    In spring 2020, the sudden mid-semester closure of my campus in response to the global COVID-19 pandemic necessitated a rapid transition to emergency online learning. Consequently, I adapted the...

    Keywords: Cellular communicationNeuronal functionNeuronal structure

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    3-019-ShuttleCockFalling-ModelingScenario
    We are given data on the time and position of a shuttlecock as it falls to the ground from a set height. We attempt to model the falling object and we confront the different resistance terms and...

    Keywords: resistancegravityFree Body Diagramshuttlecockfallingc object

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    4-035-ParEstSteadyState-ModelingScenario
    Students estimate parameters in a second order, linear, ordinary differential equations through analysis of the steady state solution. By applying a driver we can collect data in terms of the...

    Keywords: driversteady statesum of square errors

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    10-100-InsectOutbreaks-ModelingScenario
    We use a system of difference equations that incorporates a temperature-dependent MPB population growth rate to model the outbreak and recovery cycle in mountain pine beetle-infested forests.

    Keywords: ecologyclimate changeinsectinsect outbreaksinsect outbreaksolitary wave

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    3-020-ChordPathTime-ModelingScenario
    Using Newton's Second Law of motion we can determine the time it takes for a mass to slide along a chord of a vertical circle from high point to any point along the circle. Initially, the result is...

    Keywords: Unit CirclepathfallinggravitychordNetwon's Second Law of Motion

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    Graphing an Epidemic: West Africa Ebola Epidemic
    In this activity, students will explore how the Ebola virus outbreak occurred in West Africa through graphing prevalence, incidence and mortality data from the three major countries that were...

    Keywords: epidemiologyepidemicsEbola

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    Starting Conversations About Discrimination Against Women in STEM
    Many scientists know about — and experience — discrimination against women. In this professional development lesson, graduate students, postdoctoral fellows, faculty, and other career...

    Keywords: identityracismGender discriminationIntersectionalityMicroagressionsSexismSexual assaultSexual harassmentTrolling

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    Coyote Habituation and a Scientist Spotlight on Dr. Christopher Schell
    Dr. Christopher Schell is an ecologist who uses a variety of techniques to study mammalian carnivores in urban areas. This scientist spotlight uses graphs from his study on parental habituation to...

    Keywords: conservation ecologyanimal behaviorurban ecologyInterpreting GraphsBLACK SCIENTISTS IN STEMcoyotes

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    Supersized Life: Comparing Across Scales
    How wide is the size range of living beings, from "big" to "too small to see"? Students will collect and compare measurements from 3D specimens within the metric system by multiplying or dividing...

    Keywords: paleontologyBiodiversitytechnology in biologynatural history collectionsmiddle grades (4-9)3D models3D printingWhole Numbers & Place ValueMIDDLE SCHOOL MATH#NGSSscientific measurementscale and proportions

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    Functional trait-based restoration. Can hybrid restoration enhance invasion resistance and ecosystem services?
    A hybrid restoration experiment in Hilo, Hawaiʻi, in an area of high biocultural conservation value, that address the ecological and philosophical issues involved in conducting restoration with a...

    Keywords: Invasive SpeciesagroforestryHawaii CountyRestoration Ecologyplant functional traitstropical forest

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    Teaching Cell Structures through Games
    As the basic unit of life, cells are a foundational concept for all of biology. Before students can appreciate how eukaryotic cells function either in isolation or in higher order and multicellular...

    Keywords: Cell Structurecell organellesTransmembrane Transport

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