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    1-059-ContainerShapeFallingWater-ModelingScenario
    We examine many different physical situations to determine the time it takes a fixed volume of water to flow out of different shape containers through the same size exit hole at the bottom of the...

    Keywords: containersTorricelli's Lawshapedischarge coefficient

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    1-014-DrainingContainers
    Given two rectangular circular cylinders of water with the same volume, but different radii, with a small bore hole of same radius on the center of the bottom through which water exits the...

    Keywords: containerstankflowTorricelli's Lawdrainingfixed volume

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    6-065-InternetPlatformUsers-ModelingScenario
    A model estimating the volume of users interacting through a two-sided Internet platform (allowing interaction of two types of users) will teach students how to analyze a 2-dimensional dynamical...

    Keywords: dynamicsflowconservedfixed pointscycletinternet platformdiverghenceJacobianattractingrepellingnodesstablesaddlespiral

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    1-057-FiguringFluidFlow-ModelingScenario
    We propose three differential equations models for the height of a column of falling water as the water exits a small bore hole at the bottom of the cylinder and ask students to determine which...

    Keywords: dischargetankTorricelli's LawConservation of Energyfluid flowheightliquid

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    Nucleoplasmic Index
    This module introduces the nucleoplasmic index in the context of understanding how the volume of organelles and cell contents change during the cell cycle. It is intended for an introductory...

    Keywords: RatiosInterpreting GraphsCell StructureCell GrowthNucleoplasmic Index

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    Sizes of Organisms: The Surface Area to Volume Ratio
    This module introduces surface area-volume ratio in the context of understanding the limits or constraints on organism size. It is intended for an introductory biology audience.

    Keywords: RatiosstructureSurface AreabiomechanicsGeometryFunctionsVolumeOpenStax

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    Lung Capacity and Rhythms in Breathing
    This module introduces rhythmic inhaling and exhaling in the context of understanding trigonometry and sine waves. It is intended for an introductory biology audience.

    Keywords: Trigonometrysine wavesAnimal Physiology

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    Essay to students about the fallacy of fixed math ability
    Essay written in 2014 for freshmen in an intro bio course on the fallacy of fixed math ability

    Keywords: modulefixed mindsetgrowth mindsetinnate math abilitymath phobia

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    1999-Leonid_Hanin-Which tank empties first
    Suppose that water towers like those shown in the opening are initially filled with water and have the same volume, height, and cross-sectional outlet area. Which one empties first?

    Keywords: tankTorricelli's Lawspherical tankemptyfrustrum of conecylinder

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    STEM Inclusive Teaching Practices Webinar Series: Fixed vs Growth Mindset and Why the Biggest Challenge May be Faculty (Episode Seven)
    This webinar will explore how faculty can teach with a growth mindset and identify some potential areas of fixed mindset that might prove to be obstacles for many students.

    Keywords: growth mindsetfaculty developmentDiversity and Inclusionfaculty mindset

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    Making “sense” out of surface area to volume relationships
    Using a multimodal approach, the non-linear aspect of the surface area to volume relationship is explored. Students use their their senses of taste and sight to determine how smaller cells and...

    Keywords: active learningintroductory biologycell biologyquantitative skillskinesthetic learningLDC2023

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    Why are Cells Small? Surface Area to Volume Ratio
    This module explores surface area to volume ratios in a cube and sphere in relation to cell size.

    Keywords: introductory biologygraphingRatiosOpenStaxqbccmanipulate equationsCellular and Molecular BiologyUse elementary functionsCreate graphsInterpret graphsRates and ProportionsSolving Equations and Inequalitiesinterpret tables

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    Introduction to Growth Mindset
    This module introduces students to the research supporting ‘growth mindset,’ the idea that you can increase your brainpower and ability through effort

    Keywords: growth mindsetmetacognitionmath attitudesResources @ BIOMAAP

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    Introduction to Growth Mindset
    This module introduces students to the research supporting ‘growth mindset,’ the idea that you can increase your brainpower and ability through effort

    Keywords: growth mindsetmetacognitionmath attitudesResources @ BIOMAAP

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    2017-Suebcharoen-Analysis of a Predator-Prey Model with Switching and Stage-Structure for Predator
    This paper studies the behavior of a predator-prey model with switching and stage-structure for predator.

    Keywords: stage structurepredatorpreybifurcationswitching

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    1-040-OutcomeSavings-ModelingScenario
    We ask students to build a model for a savings account and to determine the monthly deposit in a savings account in order meet a long term savings goal.

    Keywords: Pop_Growth Pilotsavingsgrowthdepositg

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    3-140-TwoSpringsOneMassFixedEnds-ModelingScenario
    Students build a model of a two spring, single mass with fixed end configuration and then plot solutions to experience the motion.

    Keywords: massundampedFree Body Diagramspringstwo springsoscillationspring constantfixed ends

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    Introduction to Growth Mindset - Teaching Notes
    I used this resource as-is. Included are my teaching notes.
 This module introduces students to the research supporting ‘growth mindset,’ the idea that you can increase your brainpower and...

    Keywords: growth mindsetmetacognitionmath attitudesResources @ BIOMAAP

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    2017-Jean-Roux-Mathematical Models in Air Quality Problems
    Presents many models with analysis in air quality control. Starts with chemical kinetics models and builds complexity to PDE models.

    Keywords: air pollution effects on forest ecosystemsfinite volume methodboundary layerchemical kineticsfinite differenceemissionsdepositionsadvection

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    Emergency Water Supply (Grades 6-8)
    This classroom lesson presents students with the task of determining how much water their school would to store in case of an emergency disaster.
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