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    3-051-ProjectileMotions-ModelingScenario
    We consider several instances of projectile flight without resistance, one on level ground and one from edge of cliff to determine maximum distance and placement.

    Keywords: trajectorylaunching radiantprojectile motionprojectileno resistanceangle of launch

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    Literature Review: Inclusive Calculus for Life Sciences
    We believe that a biology-relevant calculus experience (biocalculus) can help overcome many of these issues in calculus. While challenging to build the capacity for teaching courses, students in...

    Keywords: calculusbiocalculusidentityInclusive teachingcalculus epistemology

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    SIMIODE Spring 2024 Webinars - Insightmaker
    We discuss the use of the FREE system dynamics software Insightmaker (https://insightmaker.com/) in a first course in Ordinary Differential Equations (with a modeling emphasis).

    Keywords: modelingsimulationSoftwarepythonsystemsInsightMakerflowCategory Theorystockstock-flow

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    SIMIODE Spring 2024 Webinars - WikiModel
    WikiModel is cloud-based application and requires no installation and is run via a web-browser to facilitate rapid implementation. Equations are typed in as they appear in a textbook. ODEs are...

    Keywords: modelingSoftwaretoolapplicationWikiModelmodeling cycle

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    SIMIODE Spring 2024 Webinars - Ethics Modeling
    A Practical Guide for Incorporating Ethical Reasoning into Mathematics Courses through Modeling Problems

    Keywords: modelinginterdisciplinaryguideethicsgroup workethical reasoning

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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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    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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    Science “Fails”: A Bank of Historical Examples for Learning From Failure in Science
    Learning from failure is critically important to the processes of scientific inquiry, discovery, and invention. However, students are not routinely taught how to reflect on, learn from, and...

    Keywords: metacognitionScience process skillsLearning from failurepower and privilegestudent wellbeing

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    Teaching the Photoelectric Effect Using an Open-Source Interactive Simulation
    The photoelectric effect is one of the fundamental experiments that established the basis of quantum mechanics. Students studying this experiment in modern physics courses struggle to understand...

    Keywords: photoelectric effectquantum mechanicsquantalight-matter interactions

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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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    The Flight Physics Concept Inventory: Reliably Evaluating Aerodynamic Lift, Drag and Associated (Naïve) Concepts of Flight in Class and In-Game
    Students often struggle to transfer conceptual understanding from isolated instruction to a coherent mental model. This is especially true for the context of flight physics, fluid dynamics, or the...

    Keywords: active learninggamificationmisconceptionsaerodynamicsfluid dynamicsResearch-based assessment instrumentConceptual SurveyPRE-/POST-test

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    STEM as Culture: Exploring exclusion and inclusion in mathematics and biology
    This is a paper given as a plenary lecture at the second CalcConf in Bergen, Norway, June 2023. The paper explores how marginalization in society & living between worlds becomes a superpower in...

    Keywords: calculusbiocalculusrule of fivemarine biologyco2Microagressionsmauna keamauna loafeministtestimonioindigenous epistomologyanzalduagutierrezdisciplinary microaggressions

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    Learning How to Make “Good Enough” Estimations
    The ability to estimate physical quantities is a useful skill that can help develop critical thinking and scientific literacy. This lesson provides an accessible way to teach students how to...

    Keywords: MeasurementestimationcommunicationProblem Solvinggroup workUnit conversion

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    1-104A-T-InfectionRisk-ModelingScenario
    This project is designed to examine differences between the exponential and logistic growth models in biology and how to apply these models in solving epidemic questions and comparing to actual...

    Keywords: regressioninfectionCOVID19carrying capacitylogistic equationexponential model

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    3-100-Ripcord-Toys-ModelingScenario
    This modeling scenario examines the motion of a ripcord-powered toy with the goal of using real data to estimate parameters in a first-order model of the velocity of the toy. Students may conduct...

    Keywords: dataphysicsdynamicsdata collectionrollingslippingripcordtoy

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    1-015-Torricelli-ModelingScenario
    We help students develop a model (Torricelli's Law) for the height of a falling column of water with a small hole in the container at the bottom of the column of water through which water exits the...

    Keywords: dataSpanishtankcolumn of waterapertureTorricelli's LawConservation of EnergytSolverwater flowExcel Solver

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    1-015-DimensionlessVariables-TechniqueNarrative
    This material introduces the idea of ``rescaling'' for ordinary differential equations (ODE's) by the use of dimensionless variables. In practice this is an extremely common and useful prelude to...

    Keywords: linearizationdimensional analysistime scalescalingdimensionless variablesspatial scale

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    2020-Cline-EtAl-A Vision for Projects Across the Mathematics Curriculum
    We describe a model that incorporates projects at all stages across the undergraduate mathematics curriculum. Finally, we provide samples of projects that we have used in selected courses.

    Keywords: projectstechnical writinginterdisciplinary skills

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    2018-W_Hohenauer-Physical modelling based on first order ODEs
    An introduction in techniques to solve first order ODE´s is given. Barometric formula, charging and discharging of a capacitor including its application for AMV, magnetic induction and growth...

    Keywords: dischargecapacitormagnetic fieldinductionmagnetic induction

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    2017-Rosario-Antony-Mathematical Model for Future Population Scenario In India And China – An Econometric Approach
    A mathematical model including dynamical systems, statistical models and differential equations involves variety abstract structures. Population growth is one of the main issues in India and China...

    Keywords: logisticIndiavital coefficientsAsiaCarrying Vapacitiyannual growth rate

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