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    2008-Chernyshov-EtAl-The Problem of Modelling of Economic Dynamics in Differential Form
    The authors have tried to analyze procedures of the construction of differential equations that are employed for modeling of macroeconomic processes. The results prove to be rather unexpected.

    Keywords: Fredholm integral equation ofLeontief’s modelmacroeconomic processes

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    SUMS4Bio - Video tutorials in math and stats for biology students
    Links to videos and pdf tutorials for core mathematical and statistical concepts used in biology

    Keywords: Probabilitystatisticsmathematicsvideoschi-squaredExcelBar Graphsline graphsScatter Plotsp-valuest-testsExponentsLogarithmsproportionsRatiosbinomialdata typessummary statisticsfrequency histogramsResources @ SUMS4BioPresentation

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    Spreadsheet Tutorial 2 - Autofill Data, Cell References, and Standard Deviation
    Generate a table with autofill, and use absolute cell reference to calculate variance and standard deviation.

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

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    BioVEDA Curriculum: An Approach to Link Conceptual and Quantitative Understanding of Variation During Experimental Design and Data Analysis
    When performing a biological investigation, experts constantly cycle between conceptual and quantitative modes of thinking, integrating their understanding in both worlds to make decisions about...

    Keywords: statisticssample sizeBiological variation

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    A flexible, multi-week approach to plant biology - How will plants respond to higher levels of CO2?
    To help introductory biology students understand how plants will respond to higher levels of CO2, we have created a multi-week module consisting of a series of four related laboratory lessons....

    Keywords: statisticsplantsphotosynthesiscarbon dioxidecommunicating sciencegroup workResource AllocationRespirationStomata

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    2001-Cheng-Teaching mathematical modelling in Singapore schools
    The purpose of this paper is to examine the possibility of introducing the teaching of mathematical modelling to the secondary school curriculum in Singapore.

    Keywords: teachinglogisticsecondary school mathematicsBarnacle GeeseSingapore

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    2011-Steven_Desjardins-Remi_Vaillancourt-Ordinary_Differential_Equations_Laplace_Transforms_and_Numerical_Methods_for_Engineers
    This text is packed with worked out presentations, problems, and exercises (with solutions) and MatLab code. There is sufficient detail and attention to topics to more than address interests/needs...

    Keywords: modelingtextbookmatlabengineeringLaplace transform

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    Module M.2 Descriptive statistics
    Introduction to Primate Data Exploration and Linear Modeling with R was created with the goal of providing training to undergraduate biology students on data management and statistical analysis...

    Keywords: R programming languageprimatespopulation ecology

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    Math and Stats in the Biology Classroom with HHMI BioInteractive
    Conquer basic math and statistics used in biology while exploring classroom-ready resources. Concepts include central tendency and variation, spreadsheet skills, graphing, and data analysis with...

    Keywords: HHMI BioInteractive

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    Analyzing Data on Behavioral and Immunological Effects of Inflammation in Mice
    In this activity, students will learn about behavioral and immunological responses to a bacterial infection. The activity emphasized the host’s responses rather than bacterial manipulation of the...

    Keywords: Vision and Changedata analysisImmunologybehaviorphysiologyinflammationinterdisciplinary educationAntigenmouseImmunoReachSicknessleukocyteneutrophilLipopolysaccharideacute phase response

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    5-012-LinearSystemConjecture-TechniqueNarrative
    Students go from the solution for y'(t) = k*y(t) to a natural extension to the solution conjecture of a system of two constant coefficient, homogeneous, linear differential equations introducing...

    Keywords: discovery learningconjecturesolutionsubstitution

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    Aquatic Macroinvertebrates and Urbanization: Exploring urbanization’s effect on leaf litter decomposition in six streams of Puerto Rico using R
    Urbanization effects stream ecosystems by introducing pollutants to the streams.. This has detrimental effects on the life of the streams such as the aquatic macroinvertebrates who are in charge of...

    Keywords: aquatic macroinvertebratesStream ecologyurbanizationsurban runoff

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    Introduction to Primate Data Exploration and Linear Modeling with R
    Introduction to Primate Data Exploration and Linear Modeling with R was created with the goal of providing training to undergraduate biology research students on data management and statistical...

    Keywords: R programming languageprimatespopulation ecology

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    A Lesson on Matter and Energy at the Organismal Scale: Linking Patterns and Processes Across Diverse Taxa
    Pathways and transformations of energy and matter (PTEM) are a conceptually challenging but essential component of biological literacy. Curricular gaps about PTEM nevertheless remain; although...

    Keywords: plantsenergyAnimalsfungimatterorganismal scale

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    Population Bottlenecks: Heterozygosity vs. Allelic Diversity
    This module introduces heterozygosity and allelic diversity in the context of understanding population bottlenecks. It is intended for an introductory biology audience.

    Keywords: Ratiosexponential equationsAlgebraGenetics and Evolution

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    2013-Michael-Evans-Growth and Decay
    Sometimes, we can describe processes of growth and decay—whether physical, chemical, biological or sociological—by mathematical models.

    Keywords: exponential growthexponential decayisotopespopulationsresource depletion

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    Gibb’s Free Energy and the Nature of Chemical Reactions
    This module introduces Gibb’s Free Energy in the context of understanding the nature of chemical reactions. It is intended for an introductory biology audience.

    Keywords: ExponentsLogarithmsRatiosexponential equationsSequencesCell StructureOpenStaxCell Growthgeometric equations

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    Lateral Transfer Maps as a Metacognitive Tool in First Year STEM Courses
    We introduce the Lateral Transfer Map (LTM), a tool for students to actively and visually explore the transfer of ideas, skills, and concepts across concurrent coursework. The LTM is an extension...

    Keywords: concept mapmetacognitionfirst-year studenttransfer

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    Climate Change Connections
    This module is composed of three related activities that introduce students to climate change's complexity from a conceptual standpoint. In the first activity, students work in small groups to...

    Keywords: interdisciplinaryclimate changeconcept mapping

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    1-024-MalariaControl-ModelingScenario
    This project offers students a chance to make policy recommendations based on the analysis of models using both linear (exponential decay) and non-linear (logistic growth) differential equations.

    Keywords: population dynamicsmalariaPolicyDecision-makingEuler's methodpharmacokineticsmosquitoimproved Euler's methodHuen's methodUS Army

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