In order to promote students’ conceptual understanding and learning experience in introductory …
In order to promote students’ conceptual understanding and learning experience in introductory statistics, a technology task, which focuses on the probability distribution in which means are defined, was created using TinkerPlots, an exploratory data analysis and modeling software. The targeted audiences range from senior high school grade levels to college freshmen who are starting their introductory course in statistics. Students will be guided to explore and discover the movement behaviors of means of a set of numbers randomly generated from a fixed range of values characterized by a predetermined probability distribution. The cognitive, mathematical, technological and pedagogical natures of the task, as well as its association with the statistics education framework based on the Guidelines for Assessment and Instruction in Statistics Education (GAISE) by the American Statistical Association, will be elaborated. A brief discussion on what cognitive design principles this task satisfies will also be provided at the end.
Students use STELLA to create a model of heatflow in permafrost to …
Students use STELLA to create a model of heatflow in permafrost to attempt to replicate the findings of Lachenbruch and Marshall (1986), who used inflections in the geothermal gradient of Alaskan permafrost to search for evidence of climatic change.
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Test statistics allow us to quantify how close things are to our …
Test statistics allow us to quantify how close things are to our expectations or theories. Instead of going on our gut feelings, they allow us to add a little mathematical rigor when asking the question: “Is this random… or real?” Today, we’ll introduce some examples using both t-tests and z-tests and explain how critical values and p-values are different ways of telling us the same information. We’ll get to some other test statistics like F tests and chi-square in a future episode.
Short Description: Intended for those without a background in statistics, this work …
Short Description: Intended for those without a background in statistics, this work is an explanation of the quantitative processes used by researchers to try to establish whether one variable has an impact on another. The concept of concomitant variation, two variable types (independent and dependent), the three basic levels of measurement (nominal, ordinal & numerical), and four statistical tests of relationships (Chi-Square, ANOVA, Logistical Regression and Correlation) are described within. These descriptions do not require quantitative skills in order to be understood.
Word Count: 2806
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Students will have been exposed to the concept of theoretical morphospace in …
Students will have been exposed to the concept of theoretical morphospace in class prior to undertaking the lab. When introducing the lab exercise, the basic algorithm for stochastic growth is presented and students are walked through how to run the program (it is interactive). After they have completed all the exercises, they are asked to use their virtual stromatoporoid sponges as the basis for interpreting a set of real specimens.
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This homework assignment gives students first-hand experience with thermobarometric calculations. Because many …
This homework assignment gives students first-hand experience with thermobarometric calculations. Because many of my students are math challenged, I give them a choice of solving the equations by hand or with Excel. They must first look at mineral compositions and make predictions regarding relative pressures, then calculate conditions for two sets of compositions, and finally use the P-T results to evaluate a tectonic hypothesis. The "thinking" questions are very open ended and can involve discussion of diffusion, heat flow, and tectonic settings.
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Think Stats is an introduction to Probability and Statistics for Python programmers. …
Think Stats is an introduction to Probability and Statistics for Python programmers.
*Think Stats emphasizes simple techniques you can use to explore real data sets and answer interesting questions. The book presents a case study using data from the National Institutes of Health. Readers are encouraged to work on a project with real datasets. *If you have basic skills in Python, you can use them to learn concepts in probability and statistics. Think Stats is based on a Python library for probability distributions (PMFs and CDFs). Many of the exercises use short programs to run experiments and help readers develop understanding.
Students are introduced to the use of linear algebra in an intuitive …
Students are introduced to the use of linear algebra in an intuitive and accessible way, through classroom activity and homework set. The familiar three-point problem is cast in terms of three dimensional analytic geometry, fostering understanding of mathematical models for simple geometric forms.
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In this lab activity the students will learn basic statistical and graph …
In this lab activity the students will learn basic statistical and graph skills by analyzing real world climate data sets.
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This activity teaches students about the setting of Harper Lee’s famous novel …
This activity teaches students about the setting of Harper Lee’s famous novel “To Kill a Mockingbird,” which takes place during 3 years (1933–1935) of the Great Depression. Part 1 of this activity can be used before students start reading the novel to help them understand what life was like in the 1930s. In this part, students will examine and answer questions about census documents that feature unemployment numbers and related information. Part 2 can be completed after students have read the first few chapters of the novel. In this part, students will write a piece using the RAFT technique (role, audience, format, topic) to show what they learned about the 1930s and what they have read so far.
An in class demonstration of the vastness of geologic time using a …
An in class demonstration of the vastness of geologic time using a 1000-roll sheet of toilet paper and unrolling it around the room.
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This is a teaching module presenting an introduction to modeling ground water …
This is a teaching module presenting an introduction to modeling ground water pollution, directed to undergraduate students in applied mathematics. It begins with a brief discussion of Darcy's law concerning the flow of a fluid through a porous medium. A mathematical model that uses field data to track ground-water contamination is presented. Students working with the module will write a MATLAB script to obtain a numerical solution of the model and apply it to investigate a real event of groundwater pollution.
Students come to this activity familiar with the basic assumptions of plate …
Students come to this activity familiar with the basic assumptions of plate tectonics. Using a Google Earth platform showing commonly accepted lithospheric plate boundaries as well as locations of GPS stations, students form a hypothesis about motions expected across a particular boundary. They then set about testing their hypotheses by plotting motion vectors using two independent methods.
METHOD 1: LONG-TERM "MODEL" RATES OF PLATE MOTION Students use a "Plate Motion Calculator" to determine "model" rates of plate motion averaged over millions of years.
METHOD 2: GPS MEASUREMENTS INTERPRETED IN TERMS OF PLATE MOTION Students interpret GPS data as near real-time rates of plate motion. RESULTS Students find that in general, plate tectonic theory holds up. However, they also discover sophisticated detail -- rates are not constant, internal deformation of plates does occur and some boundaries are "wider" than others. Student evaluations of the activity demonstrate that they feel engaged and empowered as they work with authentic data, and gain a sophisticated understanding of a fundamental theory as well as the process of doing science.
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As part of our NSF-funded passion-driven statistics project, we have just started …
As part of our NSF-funded passion-driven statistics project, we have just started to share more widely our “translation code” aimed at supporting folks in learning code-based software and in moving more easily between them. The pdf includes all of the basic syntax for managing, displaying and analyzing data, translated across SAS, R, Python, Stata and SPSS. http://bit.ly/PDSTranslationCodeFor more information about our full project and access to all faculty resources, email Kristin.Flaming@gmail.com
This is an activity about transport of sediment contaminated by copper, arsenic, …
This is an activity about transport of sediment contaminated by copper, arsenic, and other heavy metals that was deposited into the Clark Fork River channel as the result of historical mining activity. The Clark Fork River between Butte and Milltown, Montana has been the focus of several large superfund projects designed to address the impacts of this legacy of mining in the watershed. This activity is used in an introductory physical geology lab (primarily non-majors) with students who may have limited experience working with quantitative analysis and analyzing graphs.
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In this dynamic data science activity, students use data to build binary …
In this dynamic data science activity, students use data to build binary trees for decision-making and prediction. Prediction trees are the first steps towards linear regression, which plays an important role in machine learning for future data scientists. Students begin by manually putting “training data” through an algorithm. They can then automate the process to test their ability to predict which alien creatures are sick and which are healthy. Students can “level up” to try more difficult scenarios.
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