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    Avian Censys Analysis
    This Swirl course uses ecological data of bird counts and habitat variables to estimate inter-observer variability and the relationship of birds with habitat variables.

    Keywords: ecologyregressionaverageserror estimates

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    3-085-SimplePendulum-ModelingScenario
    Thestudent is asked to derive and solve a differential equation that gives the position (angle

    Keywords: Newton's Second Law of Motionpendulumkinetic energypotential energyConservation of Energytinitial conditionssmall angle approximationTaylor polynomialpercent error

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    Spreadsheet Tutorial 3 - Column Graphs, Error Bars, and Standard Error of the Mean
    Generate a column or bar graph with standard error bars.

    Keywords: Resources @ HHMI - BioInteractiveScientific ProcessStatistics and MathScientific MethodologyHigh School

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    Bioinformatics is a BLAST: Engaging First-Year Biology Students on Campus Biodiversity Using DNA Barcoding
    In order to introduce students to the concept of molecular diversity, we developed a short, engaging online lesson using basic bioinformatics techniques. Students were introduced to basic...

    Keywords: geneticsorganismal biologybioinformaticstaxonomyDNA Barcodingspecies concepts

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    Spreadsheet Data Analysis Tutorial Series
    This series of self-paced tutorials show how to analyze data using a spreadsheet program.

    Keywords: Resources @ HHMI - BioInteractiveScientific ProcessStatistics and MathScientific MethodologyHigh School

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    Ain't No Mountain Pine Enough: A Case Study of How Mountain Pine Beetles are Affecting Ecosystem Processes
    This case study engages students in generating hypotheses and predictions, analyzing and interpreting data, critically evaluating contrasting results in science, and thinking about feedbacks...

    Keywords: population biologycarbon cyclingSpecies-habitat interactions

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    Quantifying and Visualizing Campus Tree Phenology
    Large enrollment courses present a challenge for instructors who want to engage students in authentic science practices that fit the recommendations of Vision & Change. Our lesson provides a...

    Keywords: ecologyBiodiversityphenologyplant biology

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    My Dog IS My Homework: Exploring Canine Genetics to Understand Genotype-Phenotype Relationships
    To facilitate understanding of the fundamental genetic concept of the genotype-phenotype relationship in our introductory biology students, we designed an engaging multi-week series of related...

    Keywords: gel electrophoresissequence analysiscanine geneticsdeoxyribonucleic acid (DNA)dog coat morphologygenotype and phenotypemutationsPolymerase chain reaction (PCR)single nucleotide polymorphism (SNP)

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    2019-Hu-Treinen-One-step_method_for_modelling_longitudinal_data_with_differential_equations
    This study proposes a new approach to estimate the parameters in differential equation models used to describe non-linear trajectories of longitudinal data.

    Keywords: simulationparameter estimationshoppingfittingbehaviour

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    2018-Adeniji-EtAl-InverseProblemHolling-TannerModel
    We consider the inverse problem of parameter identification of nonlinear system of ODEs for a specific case of complete information about solution of the Holling-Tanner model for finite number of...

    Keywords: goal functionabsolute error curvesinvers methodholling-Tanner model

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    Using Yeast to Make Scientists: A Six-Week Student-Driven Research Project for the Cell Biology Laboratory
    Traditionally-trained undergraduate students often lack an understanding of science as an active process that yields the information presented in their textbooks. One result has been a call for...

    Keywords: yeastgrowth curvecell proliferationviability

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    2-005-LinearizeItAll-TechniqueNarrative
    Linear approximations are often used to simplify nonlinear ordinary differential equations (ODEs) for ease in analysis. The resulting linear approximation produces an ODE where closed form...

    Keywords: computationerrorTorricelli's Lawdata fittinglinear approximation

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    2-001-NumericalMethodsComparisons-TechniqueNarrative
    This material teaches the basics of numerical methods for first order differential equations by following graphical and numerical approaches. We discuss the order of accuracy of the methods and...

    Keywords: Euler's methodimproved Euler's methodRK3 methodsRK4 methodsorder of accuracyabsolute errorCPU time

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    Value of Mistakes
    This module familiarizes students with brain research describing our physiological response to mistakes, and how making mistakes is a useful part of learning.

    Keywords: growth mindsetmath attitudesResources @ BIOMAAPmistakesvalue of mistakes

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    Teacher Guide: Math and Statistics
    Topics include measures of average (mean, median, and mode), variability (range and standard deviation), uncertainty (standard error and 95% confidence interval), Chi-square analysis, student...

    Keywords: Resources @ HHMI - BioInteractiveStatistics and Mathteacher guide

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    The importance of citizen science in researching snow with Dr. David Hill
    David Hill is a professor at Oregon State University and a National Geographic Explorer. He discusses with us why citizen science is important and how he incorporates it into his own research.

    Keywords: citizen science

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    Outside the Norm: Using Public Ecology Database Information to Teach Biostatistics
    Biology students’ understanding of statistics is incomplete due to poor integration of these two disciplines. In some cases, students fail to learn statistics at the undergraduate level due...

    Keywords: biostatisticshypothesis testingexperimental design

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    Using Open-Source Bioinformatics and Visualization Tools to Explore the Structure and Function of SARS-CoV-2 Spike Protein
    The relationship between protein structure and function is a foundational concept in undergraduate biochemistry. We find this theme is best presented with assignments that encourage exploration and...

    Keywords: bioinformaticsmolecular modelingCOVID19protein structure and functionUCSF ChimeraSARS-CoV-2 spike proteinACE2 receptor

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    9-002-GroundWaterFlow-ModelingScenario
    The goals of this project are to compare a conceptual one-dimensional groundwater flow model to observations made in a laboratory setting, and to discuss the differences.

    Keywords: sgroundwater flowDarcy's Lawheat equationaquiferhydraulic headFourier's Lawsand tank

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    2014-Vance-Eads-Sensitivity Analysis of a Three-Species Nonlinear Response Omnivory Model with Predator Stage Structure
    We investigate a three-species nonlinear response omnivory model incorporating stage structure in the top predator. The model consists of four coupled ordinary differential equations involving...

    Keywords: stage structuresensitivity analysismortalityomnivoreomnivory modelsearch rates

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