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    3-090-OneSpringMass-ModelingScenario
    We lead students through building a mathematical model for a single mass (bob)-spring system that is hanging vertically. We also lead the students, using data that they collect together with their...

    Keywords: undampedsum of square errorsmass springHooke's Lawoscilationleast-squares approximation

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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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    6-026-IsleRoyaleModeling-ModelingScenario
    The primary aim of this project is to draw a connection between differential equations and vector calculus, using population ecology modeling as a vehicle.

    Keywords: ecologyoptimizationpredator-preypopulationvector calculusLagrange multipliersleast squaresIslel Royale

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    3-069-HeatInBar-ModelingScenario
    The temperature distribution along a uniform slender bar due to conduction and convection is investigated through experimental, analytical, and numerical approaches.

    Keywords: heat transferexperimentconductionconvectionboundary conditionsfinite volume method

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    3-070-FallingInWater-ModelingScenario
    We model a small canister with ballast to keep it vertical as it falls through water in a graduated cylinder filled with water. We suggest several models in terms of resistance due to the media and...

    Keywords: datawaterresistancefallingbuoyancymass

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    1-126-MarriageMath-ModelingScenario
    We will explore a model which describes the process of entry into marriage by an individual. In the model, rate of change in the fraction of the cohort already married will be investigated along...

    Keywords: marriageGompertz function

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    3-045-RampBounce-ModelingScenario
    Students build two projectile motion models (1) a one-dimensional model for a vertically falling ball from a fixed distance until it hits an inclined ramp and (2) a two-dimensional projectile...

    Keywords: projectile motioninclined rampcoefficient of restitutionoptimal anglebounce

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    Figure of the Week (Non-major's Biology)
    Students use their number sense to make observations and come up with reasonable guesses or explanations for the patterns shown.

    Keywords: graphsmath attitudesResources @ BIOMAAPInterpreting Graphs

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    Some Figures of the Day for Microbiology
    Students use their number sense to make observations and come up with reasonable guesses or explanations for the patterns shown. These are some specifically for microbiology.

    Keywords: graphsmath attitudesResources @ BIOMAAPInterpreting Graphs

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    Figure of the Day
    Students use their number sense to make observations and come up with reasonable guesses or explanations for the patterns shown.

    Keywords: graphsmath attitudesResources @ BIOMAAPInterpreting Graphs

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    Dendroclimatology
    Dendroclimatologists can reconstruct climate records further into the past than written records, by examining tree rings. Students "reverse-engineer" this process by considering growth rates of a...

    Keywords: linear regressiongraphingdata visualizationstandardizationclimatetree ringsdendrochronology

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    Quantifying Uncertainty and Distinguishing Data Sets in Introductory Physics
    Physics labs are moving increasingly to open-ended experiments where students develop experimental physics skills, rather than verify textbook physics concepts. This sequence of activities sets the...

    Keywords: statisticsMeasurementlaboratoryuncertaintypendulumexperimental skills

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    Fitting Exponential and Logistic Growth Models to Bacterial Cell Count Data
    In this activity, students will model a noisy set of bacterial cell count data using both exponential and logistic growth models. For each model the students will plot the data (or a linear...

    Keywords: modelingdata analysislinear regressiongraphingExponentsoptimizationcalculusInterpreting GraphsFunctionsqbccCellular and Molecular BiologyChoosing modelsUnderstanding ratesConcepts in Statisticsmeasurementsmanipulating equationscreating graphsExponential and Logarithmic Functionsinterpreting tables

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    A Momentum-First Approach to Newton’s Second Law
    Students frequently struggle with seeing the connection between forces and motion in introductory physics. This lesson is part of a combined momentum and kinematics unit that first teaches...

    Keywords: group workMomentumNewton's Laws

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    Grow the Gradient: An interactive countercurrent multiplier game
    The countercurrent multiplier of the loop of Henle in a mammalian kidney is a challenging concept for instructors to teach and for students to learn. We developed an interactive game to support...

    Keywords: countercurrent multiplierexcretory systemkidneyloop of Henlemembrane transport

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    Lights, Camera, Acting Transport! Using role-play to teach membrane transport
    Lights, Camera, Acting Transport! is an active and unique role-play exercise designed to teach introductory biology students basic concepts of passive and active membrane transport. The activity...

    Keywords: ATPcarrierschannelsco-transportelectrogenic pumpfacilitated diffusionmembrane transportpassive transportprimary active transportsimple diffusion

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    A How to Guide and Template for Designing a Puzzle Based Escape Room Game
    Educational games are one active and effective way of engaging students with material while also providing additional motivation to tackle challenging concepts. A particularly popular game concept...

    Keywords: Problem SolvingCollaborative WorkCorrect Misconceptions

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    2012-Brian_Ingalls-Mathematical Modelling in Systems Biology An Introduction
    This is a comprehensive text with much biology background to motivate the mathematical modeling, exercises and answers, and many rich examples.

    Keywords: spatialsensitivity analysisgene regulatory networksstochasticbifurcationmetabolic networkselectrophysiologytransductionrate lawsbiochemical reactions

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    Calling Bullshit DCS 105 Bates College Figure of the Day
    Students use their number sense to make observations and come up with reasonable guesses or explanations for the patterns shown.

    Keywords: graphsmath attitudesResources @ BIOMAAPInterpreting Graphsbatescalling bullDCS 105VisualizingUnderstandingTransformFOTD

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    1-026-Evaporation-ModelingScenario
    We provide data on evaporation of 91% isopropyl alcohol in six different Petri dishes and one conical funnel and on evaporation of water in one Petri dish. We ask students to develop a...

    Keywords: evaporationconealcoholPetri dish

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