students are asked to resolve how many days each of 5 volcanologists …
students are asked to resolve how many days each of 5 volcanologists spent at a volcano and what day they started for the volcano. There is also a second part where students are asked to do some additional research about volcanoes on the web.
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This resource consists of a Java applet and expository text. The applet …
This resource consists of a Java applet and expository text. The applet simulates a random sample from a gamma distribution, and computes standard point estimates of the shape and scale parameters. The bias and mean square error are also computed.
This resource consists of a Java applet and expository text. The applet …
This resource consists of a Java applet and expository text. The applet simulates the time of the k'th arrival in a Poisson process. The arrival number k and the rate of the Poisson process can be varied. The applet illustrates the gamma distribution and a special case of the central limit theorem.
In this dynamic data science game, students try to track down a …
In this dynamic data science game, students try to track down a speck of extremely dangerous radioactive material (the "source"), which has been lost somewhere in the middle of their lab. A special device measures the strength of the radiation and, if it’s positioned correctly over the speck, can be used to collect it for safe disposal. But it's a tiny speck, so they have to give quite precise coordinates. They take measurements to figure out the speck’s location, but must beware: as they take measurements, they're also accumulating radiation exposure. If they get too much, they’ll lose the game and will have to start over. Can they find the source before it’s too late? Using mathematical models, students generate useful strategies for winning the game with data.
This lesson centers around the How AI Works: Creativity and Imagination? video …
This lesson centers around the How AI Works: Creativity and Imagination? video from the How AI Works video series. Watch this video first before exploring the lesson plan.
Diffusion models generate images. Diffusion AI converts an image to noise, and trains an AI to reverse the process. In this lesson, students learn how AI can generate images, then explore a diffusion AI widget. Finally, the class wraps up with a discussion about whether or not these models are creative.
This lesson can be taught on its own, or as part of a 7-lesson sequence on How AI Works. Duration: 45 minutes
Students will examine maps to explore changes in population density in the …
Students will examine maps to explore changes in population density in the United States during three decades: 1920–1930 (Post-Progressive Era), 1930–1940 (Great Depression), and 1940–1950 (World War II). They will then determine what happened during each decade that likely influenced geographic mobility. Students will also examine a map of more recent population data (for 2000–2010) to understand trends in population movement.
Half way through the second semester of our year-long integrated Sed/Strat and …
Half way through the second semester of our year-long integrated Sed/Strat and Structure course we travel to Sheep Mountain, Wyoming where the students spend 5 days describing and measuring section and the constructing geologic and structural maps. The field data gathered then form the basis for a paper titled: "Geologic History of the Sheep Mountain Region". In addition to simply making geologic maps, stratigraphic sections and structural cross-sections, the students have to put the local geology into the broader contexts of the Big Horn Basin and sequences of western orogenies.
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Radiometric age determination using parent/daughter composition and a radiometric decay curve. (Note: …
Radiometric age determination using parent/daughter composition and a radiometric decay curve.
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Geometric probabilities, and probabilities in general, allow us to guess how long …
Geometric probabilities, and probabilities in general, allow us to guess how long we'll have to wait for something to happen. Today, we'll discuss how they can be used to figure out how many Bertie Bott's Every Flavour Beans you could eat before getting the dreaded vomit flavored bean, and how they can help us make decisions when there is a little uncertainty - like getting a Pikachu in a pack of Pokémon Cards! We'll finish off this unit on probability by taking a closer look at the Birthday Paradox (or birthday problem) which asks the question: how many people do you think need to be in a room for there to likely be a shared birthday? (It's likely much fewer than you would expect!)
In this lab, students work in groups with a simple sandbox (metal …
In this lab, students work in groups with a simple sandbox (metal sheets clamped to an adjustable workbench) to create thrust faults, strike-slip faults, or restraining and releasing bends on strike-slip faults. The sandboxes are designed without colored sand layers or vertical sides; they they show surface deformation rather than cross-sections, but also allow students to re-set the models and run them several times with either the same or different conditions. The models are recorded and shared with the class. Students make geometric models (sketches of the surface, using structural map symbols), guess possible cross-sections, and use the videos to develop kinematic models (sketches with arrows showing movement, and short descriptions of their kinematic observations). After making their observations, students measure properties of their materials, do scaling calculations, and compare their models with real examples of similar settings on Google Earth.
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In this problem set the students use two different equations to calculate …
In this problem set the students use two different equations to calculate a conductive geothermal gradient using a spreadsheet program like Excel. Once they have the geothermal gradient plotted, they are asked to experiment with and comment on the model by changing parameters (e.g. mantle heat flow, thermal conductivity). There is a mix of specific, fill in the blank questions and open-ended questions. This problem set helps develop quantitative problem solving skills using a spreadsheet as a tool, and forces students to think about thermal constraints during igneous and metamorphic processes.
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Handling statistical data is an essential part of psychological research. However, many …
Handling statistical data is an essential part of psychological research. However, many people find the idea of using statistics, and especially statistical software packages, extremely daunting. This unit takes a step-by-step approach to statistics softw
To introduce demographic characteristics to students, teachers will help them create a …
To introduce demographic characteristics to students, teachers will help them create a population pyramid. Then, students will use an online tool called QuickFacts to find census data on demographic characteristics for a county in 2017. They will compare it to older data from the same county to find changes and trends over time. They will then use QuickFacts to examine data about their school’s county. Students will use this information to help them understand how business owners and community leaders use data on demographic characteristics to make decisions.
Students use historical data on the extent of the Grinnell Glacier in …
Students use historical data on the extent of the Grinnell Glacier in Glacier National Park to estimate when the glacier will melt completely.
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The goal of this assignment is for students to recognize that adding …
The goal of this assignment is for students to recognize that adding some randomization and "noise" to a model yields different results each time we run the model, and we can pull some useful statistics from these model results. This introduces the concept of a Monte Carlo method to the students.
Students create and modify a STELLA model of the global phosphorus cycle …
Students create and modify a STELLA model of the global phosphorus cycle to test a number of scenarios.
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This is a teaching module, directed to undergraduate students in applied mathematics, …
This is a teaching module, directed to undergraduate students in applied mathematics, that presents a Zonal Energy Balance Model to describe the evolution of the latitudinal distribution of Earth's surface temperature subject to incremental levels of cumulative carbon emissions in the atmosphere. A strategy to avert "dangerous levels" of global warming is imbedded in the model. Students working with the module will write a computer code, using a software such as MATLAB or Mathematica, to obtain numerical solutions of the model and simulate strategies that guarantee controlled levels of global warming.
Course Overview: This course covers the basic statistical principles, procedures, and interpretations …
Course Overview: This course covers the basic statistical principles, procedures, and interpretations of statistical analyses in the behavioral sciences in order to provide an understanding of what is involved in analyzing quantitative data. The course will offer introductory coverage of descriptive and inferential statistics through the use of RStudio. Course topics include data description, central tendency and variability, statistical inference, and significance tests to compare means and conduct analyses of correlation and regression.
Student Learning Objectives: Through the successful completion of this course, students will: 1) Develop knowledge and critical understanding of fundamental issues related to methodology and the application of various statistical tools. 2) Develop basic skills in using RStudio for data entry, data management, and data analysis. 3) Learn to appropriately interpret the output of statistical software and analyses and to communicate effectively with others regarding results and conclusions. 4) Be able to identify key information in published quantitative research manuscripts. 5) Be prepared to take more advanced statistics courses, such as analysis of variance and multiple regression models.
Students are introduced to concepts of hypothesis testing using elementary hypothesis tests, …
Students are introduced to concepts of hypothesis testing using elementary hypothesis tests, t-tests, and p-values as they compare a given fish population for methylmercury levels (using real and hypothetical data) against real-world mercury standards.
Students are introduced to concepts of sampling distributions and hypothesis testing using …
Students are introduced to concepts of sampling distributions and hypothesis testing using a simulation applet, elementary hypothesis tests, t-tests, and p-values as they compare a given fish population for methylmercury levels (using real and hypothetical data) against real-world mercury standards.
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