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    Building the Best Playground (Grades 3-5)
    The classroom lesson presents students with the task of developing an optimal design for a school playground.

    Keywords: ratesmoneyunit conversions

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    Mechanisms of Cell Attachment
    This module introduces the calculation of refractive indices along a cell surface in the context of understanding the attachment of cells to surfaces. It is intended for an introductory biology...

    Keywords: GeometryCell StructureCell GrowthSimple EquationsInterpreting GraphCell Attachment

    740

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    Learning with All Your Senses: Mathematical Manipulatives Enhance Student Comprehension of Biological Models
    Handout for a session presentation on kinesthetic learning at the 2019 BioQUEST & QUBES Summer Workshop

    Keywords: Models3D models3D printingmanipulativeskinesthetic learning

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    Cell Aggregation and Sphere Packing
    This module introduces the calculation of packing density in the context of understanding cell aggregation and arrangement. It is intended for an introductory biology audience.

    Keywords: RatiosGeometryInequalitiesCell StructureCell GrowthCell AggregationSphere Packing

    891

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    Phototropism and Gravitropism: Quantifying Stem Curvature in Plants Introduction
    This module introduces phototropism and gravitropism in the context of understanding how to quantify stem curvature of plants. It is intended for an introductory biology audience.

    Keywords: plant physiologyGeometryTrigonometry

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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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    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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    Design a Zoo (Grades 3-5)
    This classroom lesson presents students with the job of designing a zoo, which could include modeling tasks ranging from choosing and locating the exhibits to setting the right admission prices.

    Keywords: unit costbudgetsdistance

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    6-068-VisualizingPredator-PreyCycles
    In this modeling scenario, we propose a gentle introduction to limit cycles using nullcline analysis and a spreadsheet graphical approach via the fourth-order Runge-Kutta method. We will be...

    Keywords: nullclinespredator-preyGeometrypredatorRunge-Kuttapreylimit cycle

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    2015-Liang-EtAl-Advanced ordinary differential equation based head modelling for Chinese marionette art preservation
    This paper addresses the heritage preservation of the marionette head carving by digitalizing the head models with a novel modelling technique using ordinary differential equations (ODEs).

    Keywords: digitizationcontrolmarionetteChinese marionettehead carving

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    2015-Cano-EtAl-Bringing partial differential equations to life for students
    This work describes how to use an authoring tool, Easy Java Simulations, to build interactive simulations using FreeFem++ (Hecht F 2012 J. Numer. Math. 20 251) as a PDE solver engine.

    Keywords: Java SimulationFreeFemauthoring toolsauthoring methodsphysical modellingclassroom teaching

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    10-001-TilingHallway-ModelingScenario
    Students investigate difference equations through tiling hallways. They observe patterns in the tiling which lead to a difference equation. Solutions will be calculated by iteration. and the shift...

    Keywords: Geometryiterationtilingrecurrenceshift operatorpatternsclosed formanalytic solution

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    3D FractaL-Tree
    3D FractaL-Tree allows scientists to collect data from actual specimens in the field or laboratory, insert these measurements into a spatially explicit L-system package, and then visually compare...

    Keywords: Resources @ ESTEEMfractalsL-systems

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    1-082-MirroMirror-ModelingScenario
    This project models the ``Foucault Knife Edge Test,'' an optical test commonly used by amateur astronomers who make their own mirrors for reflecting telescopes. The goal of the test is to estimate...

    Keywords: astronomymirror climate change mitigation ocean deacidificationopticstelescopelensFoucaultinterpolation

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    3-064-GearTrain-ModelingScenario
    Students model an input-output mechanical system of gears with a second order, non-homogeneous, ordinary differential equation with constant coefficients. The model incorporates friction and...

    Keywords: frictiongearspur geargear traintorquegear ratioangular accelerationangular velocitymoment of inertiadouble reduction gear

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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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    2006-Cooke-Elderkin-Huang-Predator-Prey interactions with delays due to juvenile maturation
    This paper focuses on predator-prey models with juvenile/mature class structure for each of the predator and prey populations in turn, further classified by whether juvenile or mature individuals...

    Keywords: predator-preyhost-parasitebifurcationage structrematuration delay

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    2016-I-Liang_Chern-Mathematical Modeling_and_Ordinary_Differential_Equations
    We let the author's Table of Contents speak for itself.

    Keywords: differential equationsmodelingtextbook

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    A Simple Method for Predicting a Molecule's Biological Properties From Its Polarity
    The distinction between very polar and less polar substances is a foundation of biochemistry, cell biology, and physiology; it surfaces in multiple concept inventories and elaborations of...

    Keywords: Diffusionsolubilitycovalent bondshydrophilichydrophobicpartition coefficientplasma membranepolarity

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    It's a Substrate... It's a Protein...No - It's an Enzyme! Teaching Using 3D Serine Protease Physical Modeling Activities to Confront Misconceptions.
    Reported misconceptions of enzyme-substrate interactions highlight the necessity for better, targeted instructional tools and assessments. A series of active learning activities with corresponding...

    Keywords: Protein StructureEnzymes-Substrate InteractionsNoncovalent InteractionsGeometric ComplementaryElectronicsStereochemistrySerine Proteases

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