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    2004-Mark_McCartney-Using_second-order_ordinary_differential_equations_to_model_traffic_flow
    A simple mathematical model for how vehicles follow each other along a stretch of road is presented. The resulting linear second-order differential equation with constant coefficients is...

    Keywords: differential equationstraffic flowvehicle followsecond order

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    1-145-FastPitch-ModelingScenario
    We consider the problem of comparing pitch velocities using measurement methods in different eras of baseball.

    Keywords: Measurementresistanceair resistancebaseballpitcherfast

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    3-002-ModelsMotivatingSecondOrder-ModelingScenario
    Ordinary differential equations involve second derivatives and second derivatives appear in many contexts, chief among them are the study of forces and resulting motion. This is principally because...

    Keywords: resistancespring massoscillationHooke's Lawdampening

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    3-011-EulerBallThrowing-ModelingScenario
    If a tennis ball is thrown through the air it will hit the ground due to gravity. Using Euler's method, write a short script (Python, Matlab, R, etc.) to find the trajectory of the ball which will...

    Keywords: codingdragonVectorsEuler's methodball

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    3-015-StyrofoamBallFall-ModelingScenario
    We are given data on a falling Styrofoam ball and we seek to model this motion.

    Keywords: footballresistancegravityfalling bodysum of square errorsNewton's Second Law of Motionsum of forcesstyrofoam

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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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    3-091-SpringModeling-ModelingScenario
    In this lab students will collect data on their spring mass systems and compare their empirical models to their theoretical ones—giving them an opportunity to actually test a model against data.

    Keywords: datalaboratoryLoggerProVerniermass-spring systemmodel validationempirical modeltheoretical model

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    4-036-AltitudeDependentGravity-ModelingScenario
    When projectiles are way above Earth's surface gravity's changes become important when dealing with projectiles at high altitudes. We lay out an approach for such a case which is a second-order...

    Keywords: agravityprojectilelinearizationltitufealtitude

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    6-023-DroneHeadingHome-ModelingScenario
    We describe a comprehensive project in modeling through a two dimensional system of equations and a first order system of differential equations a drone heading home.

    Keywords: dronesoursuitflight pathchange of variables

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    9-152-HorizontalBeam-ModelingScenario
    This scenario is designed to lead students to discover a differential equation that models the vertical deflection of a horizontal beam under different boundary conditions.

    Keywords: Polynomial dynamical systembeamcantilever

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    Measuring the Health of the Earth Using the Theory of Island Biography
    This module uses a variety of available datasets to explore methods of calculating biodiversity and measuring landscape as well as the relationship between those.

    Keywords: moduleEvolutionecologycollege algebraearth scienceOceanographygeophysicalResources @ DIMACSResources @ QUBES - Teaching & Reference

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    Seed Dispersal, Mutualisms, and Communities
    In this activity, students use data from published studies to understand patterns of seed dispersal and apply these ideas to understanding the evolution of mutualisms, and how mutualistic...

    Keywords: mutualismsecologyResources @ HHMI - BioInteractivecommunityplantsdiversityScientific Processlarge lecture

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    Snail Races: An Inquiry-Based Approach to Learn Invasive Species Ecology
    Inquiry-based lessons allow learning that is hands-on and student-driven, fostering engagement and retention of knowledge in any discipline. Here, we use this learning framework to engage students...

    Keywords: ecologyenvironmentInvasive SpeciesScience CommunicationScientific InquiryDispersal

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    Building Trees: Introducing evolutionary concepts by exploring Crassulaceae phylogeny and biogeography
    Teaching evolutionary theory is foundational for all biological sciences and a key aspect of overall science literacy. The conceptual framework for understanding evolution relies on thinking...

    Keywords: EvolutionphylogeneticsTree thinkingbiogeography

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    Caribbean coral reef structure and biodiversity - Comparing boosted regression tree & multiple regression approaches
    Creating and comparing boosted regression tree models to multiple regression models.
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    Aquatic Nutrient Levels and Climate Change
    This learning module was designed to introduce students to the aquatic nutrients nitrogen and phosphorus, their roles in ecosystem function and nutrient pollution, and what impacts climate change...

    Keywords: climate changenitrogenwater resourcesfreshwater systemsEutrophicationwater qualitynutrient pollutionphosphorusdischargeTMDL

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    State Apportionment Lesson Plans and Task
    Three secondary teachers and a mathematics education researcher planned two lessons and revised them through lesson study. The teachers adapted the State Apportionment Task from the Mathematical...

    Keywords: votingproportional reasoning

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    An Inquiry-Based Project Added to Traditional Labs: Hands-On Fish Awareness Research in Freshwater Systems Conducted by First-Year Biology Students
    This project involves students in an inquiry-based project added to the introductory biology laboratory course for majors in fall 2019. Research has shown that student engagement in authentic...

    Keywords: Evolutionbehaviorichthyology

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    Authentic Ecological Inquiries Using BearCam Archives
    Learning through authentic scientific inquiries is essential for understanding the nature and process of science and for developing critical thinking and communication skills. It is logistically...

    Keywords: behaviorinterspecific interactionsPeer reviewauthentic inquiryintra-specific interactions

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    The Three Sisters of Agriculture: An Active Learning Activity on Symbiotic Nitrogen Fixation
    This active learning exercise introduces students to the plant microbiome and the contributions that bacteria make to plant growth and food production. The Three Sisters are an ancient indigenous...

    Keywords: SymbiosisPlant microbiomeNitrogen fixationNutritional content of foodElectron flowSociety impact of microorganisms

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