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    2015-Brian_Winkel-Informed_Conjecturing_of_Solutions_for_Differential_Equations_In_a_Modeling_Contex
    We examine (1) first order exponential growth or decay and (2) second order, linear, constant coefficient differential equations, and show the advantage of learning differential equations in a...

    Keywords: exponential growthsolutionslinear systemsdecayconjecture

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    2000-Erdman-Morelock-A Study of Kinetics The Estimation and Simulation of Systems of First-Order Differential Equations
    This paper introduces new and old features of the SAS System for the estimation and simulation of systems of first-order differential equations with emphasis on examples in kinetics.

    Keywords: kineticsSAScompartmentpharmacokinetics

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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.

    Keywords: kineticschemical kineticszeroth order reactionfirst order reactionsecond order reaction

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    Generating Biological Hypotheses in a "Course-based Undergraduate Research Experience"(CURE) Course
    Hypotheses are often incorrectly defined as educated guesses or if/then statements. Further confusion arises from the fact that not all disciplines define hypotheses similarly. The difficulty in...

    Keywords: scientific methodHPT axisNeural stem cells

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    HSI - Student Research Journal - Vol.3 Issue 1 - Summer 2021
    The Headwaters Research Experience students have produced some fascinating research throughout our 10-week program. We encourage all to read their reports in our Vol. 3 - Issue 1 - Summer 2021...

    Keywords: scientific methodscience education

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    2016-Starling-EtAl-Local Brewery - A Project for Use in Differential Equations Courses
    We describe a modeling project designed for an ordinary differential equations (ODEs) course using first-order and systems of first-order differential equations to model the fermentation process in...

    Keywords: BEERFermentationbrewery

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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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    2021-G_Nagy-Ordinary_Differential_Equations
    This is an introduction to ordinary differential equations. We describe the main ideas to solve certain differential equations, like first order scalar equations, second order linear equations, and...

    Keywords: differential equationstextbook

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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...

    Keywords: differential equationstraffic flowvehicle followsecond order

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    Escape Zoom!: Reviewing Introductory Evolution Content Using an Escape Room Format
    Reviewing and integrating key concepts and learning goals at the end of a biology course can be overwhelming to students and instructors alike. Often end-of-term review sessions in preparation for...

    Keywords: Evolutionartificial selectionSpeciationextinctionsexual selectionphylogenetic treesmechanisms of evolution

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    The Lecture-Free Classroom: Teaching students backward design and Bloom's Taxonomy to create their own learning environment
    We describe Presentation Enhanced Learning (PEL), a flexible, lecture-free, field-tested teaching format to promote problem-based, active learning in upper-division or graduate biological sciences...

    Keywords: active learningbackward designProblem based learningBloom's Taxonomy

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    1981-Nielsen_Francois-Rachel_Rosenfeld-Substantive_Interpretations_of_Differential_Equation_Models
    The interpretation of parameters of dynamic models is illustrated with reference to research on two substantive topics: political mobilization and intragenerational mobility.

    Keywords: differential equationsdynamical systemsFirst order linearintragenerational mobilitypolitical mobilizationmobility

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    Does Organelle Shape Matter?: Exploring Patterns in Cell Shape and Structure with High-Throughput (HT) Imaging
    Organelle structure has been studied and visualized for decades; however, publicly available databases that use improved high-throughput microscopy of gene-edited cell lines have recently...

    Keywords: modelingcase studymicroscopystructureOrganellesHigh-throughput (HT)Endoplasmic Reticulum (ER)Fluorescent microscopyHuman Cell Biology

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    State Apportionment Lesson Plans and Task
    Three secondary teachers and a mathematics education researcher planned two lessons and revised them through lesson study. The teachers adapted the State Apportionment Task from the Mathematical...

    Keywords: votingproportional reasoning

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    Teaching the Central Dogma Using a Case Study of Genetic Variation in Cystic Fibrosis
    The central dogma of biology is a foundational concept that is traditionally included in genetics curricula at all academic levels. Despite its ubiquitous presence throughout genetics education,...

    Keywords: transcriptioncentral dogmatranslationsequence analysisDNA replicationgenetic variants

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    2012-R_B_Ogunrinde-J_Sunday-On_some_models_based_on_second_order_differential_equations
    This paper presents some models based on second order differential equations. This is a very straightforward article with good explanations of modeling assumptions.

    Keywords: combatcombat modelspecies interaction

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    1996-D_Erdman-MM_Morelock-A Study of Kinetics
    This paper introduces new and old features of the SAS System for the estimation and simulation of systems of first-order differential equations with emphasis on examples in kinetics.

    Keywords: simulationkineticsparameter estimationEnzymesubstratesavingscompartmentstomachbloodginseng

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    1-001-SepartionOfVariables-TechniqueNarrative
    We discuss strategies to solve first order, ordinary differential equations with mathematical models when the variables may be separated.

    Keywords: solutionsstrategymethodapplications

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    Assessment
    This can be given at the beginning and end of the BIOMAAP program, in order to measure student changes in math anxiety.

    Keywords: surveymath attitudesResources @ BIOMAAP

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    The Comics Project: Synthesizing and Communicating Science with Comics
    Students, especially non-science majors, often see science as abstracted from their daily lives. Moreover, students often struggle to translate scientific concepts into everyday language in order...

    Keywords: communicating scienceScience & Societycomics

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