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    Building an Inclusive Botany - Structuring in Class Discussions
    Driven by the national conversation on systemic racism, ongoing inequities, appeals to decolonize science, and the many recent calls for diversity, equity, accessibility, and inclusion, we use...
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    Defenses against predation: Interpreting graphs of predator behavior
    In this lesson, students discuss anti-predator defense mechanisms and the types of cues defenses provide to predators. Students then interpret graphs of behavior of arthropod predators when...
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    Count me in: Increasing early detection of invasive species with community science
    In this lesson, students interpret a map of species occurrences. Then, students view and reflect on an interview with biologist Dr. Jennifer Dean, whose research includes the map that they...
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    Biodiversity Counts! Making sense of diversity metrics and graphs
    In this lesson students 1) become familiar with various graphs that are used to study diversity patterns within and across sites, 2) learn about some of the questions that can be addressed by...
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    2015-Peter_Cumber-Waggling pendulums and visualization in mechanics
    This article describes an equation of motion for a waggling pendulum.
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    2010-Brian_Winkel-Parameter estimates in differential equation models for chemical kinetics
    We discuss the need for devoting time in differential equations courses to modelling and the completion of the modelling process with efforts to estimate the parameters in the models using data.
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    2002-Fay-The Pendulum Equation
    We investigate the pendulum equation q’’(t) + l2 sin(q) = 0 and two approximations for it.
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    1991-Thoddi_Kotiah-Difference and differential equations in the mathematics of finance
    Many problems arising in the mathematics of finance involve identical money flows at regular time intervals and are typically solved by appropriate valuation at a focal date or by setting up an...
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    1992-CHF_Bulte-The differential equation of the deflection curve
    This paper presents the derivation and physical meaning of the general fourth-order linear differential equation (with sectionally continuous derivatives) of the deflection curve and its general...
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    1975-DH_Griffel-Teaching the formation and solution of differential equations
    This paper raises many interesting questions about teaching the formation (and solution) of differential equations, i.e. modeling with differential equations.
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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...
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    2009-Brian_Winkel-Modelling_Growth_Of_an_OilSlick
    An oil-slick spreads at sea. From time to time, but irregularly, a helicopter is dispatched. On each trip, it arrives over the slick, the pilot takes a picture, waits 10 minutes, takes another, and...
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    2014-Jeffrey_Chasnov-Lecture_Notes_on_Introduction_to_Differential_Equations
    The differential equations text is 128 pages and develops and motivates the theory of the material nicely, with links to YouTube lectures to assist.
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    Population Demography in Swirl
    The students will learn to generate, test, and graphically represent basic hypotheses on data distributions using large datasets.
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    Why representation matters: Interpreting data to identify factors that affect Black students’ persistence in STEM
    In this lesson, learners interpret a table summarizing the factors influencing the persistence of Black students at an HBCU. Then, learners view and reflect on an interview with science education...
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    Make Your Move: Interpreting graphs of pollinator behavior
    In this lesson, students interpret graphs of pollinator movement behavior. Then, students view and reflect on an interview with community ecologist Dr. Suann Yang., who collected the data that they...
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    1-060-SalesMarketing-ModelingScenario
    We lead students through a sales forecasting model based on marketing principles first espoused by F. M. Bass with definitions, assumptions, equations, and data on sales over 15 year periods...
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    1-081-TumorGrowth-ModelingScenario
    Students will transform, solve, and interpret a tumor growth scenario using non-linear differential equation models. Two population growth models (Gompertz and logistic) are applied to model tumor...
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    3-016-FallingCoffeeFilters-ModelingScenario
    We are given data on the time and position of a stack of coffee filters as it falls to the ground. We attempt to model the falling mass and we confront the different resistance terms and models.
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    3-092-WirelessPower-ModelingScenario
    We present an engineering application (wireless power transmission) modelled by a coupled system of two linear second-order differential equations with constant coefficients. One equation is...
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