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**Mathematics**

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This article explores how statistics can be interpreted in different ways to yield different conclusions. It describes the outcome and discussion of two class activities. In the first, the results are interpreted to "show" that taking a group rather... (View More) than an individual perspective is ultimately beneficial to the individual. In the second, a variation is added "showing" that telling the truth is better that lying. This resource is from PUMAS - Practical Uses of Math and Science - a collection of brief examples created by scientists and engineers showing how math and science topics taught in K-12 classes have real world applications. (View Less)

This example explains how contour mapping teaches both estimation and spatial visualization skills. To have experience visualizing 3-dimensional fields from a 2-dimensional map helps students throughout their mathematical career. This resource is... (View More) from PUMAS - Practical Uses of Math and Science - a collection of brief examples created by scientists and engineers showing how math and science topics taught in K-12 classes have real world applications. (View Less)

Logarithms are very handy when dealing with numbers at different scales but they are also useful helping us average measurements of physical phenomena that have nonlinear behavior. In this example, students learn about cloud albedo and calculating... (View More) cloud optical depth. This resource is from PUMAS - Practical Uses of Math and Science - a collection of brief examples created by scientists and engineers showing how math and science topics taught in K-12 classes have real world applications. (View Less)

On this worksheet, students are provided hurricane data by decade and are asked to calculate frequencies and averages. The resource is part of the teacher's guide accompanying the video, NASA SCI Files: The Case of the Phenomenal Weather. Lesson... (View More) objectives supported by the video, additional resources, teaching tips and an answer sheet are included in the teacher's guide. (View Less)

In this activity, students learn about the advantages of the metric system, by comparing the ease of calculation and conversion between the English and metric systems of measurement. This resource is from PUMAS - Practical Uses of Math and Science -... (View More) a collection of brief examples created by scientists and engineers showing how math and science topics taught in K-12 classes have real world applications. (View Less)

This math example explains what celestial objects a person can see with the unaided eye from the vantage points of Earth and Mars, using simple math, algebra and astronomical distance information. This resource is from PUMAS - Practical Uses of Math... (View More) and Science - a collection of brief examples created by scientists and engineers showing how math and science topics taught in K-12 classes have real world applications. (View Less)

In this example, students learn how to read a topographic map and understand map contours. This resource is from PUMAS - Practical Uses of Math and Science - a collection of brief examples created by scientists and engineers showing how math and... (View More) science topics taught in K-12 classes have real world applications. (View Less)

This is an activity about seasonal variations in day length. Learners will graph the number of daylight hours in each month in cities around the world and compare results. They will also gain an understanding of the meaning of the term equinox... (View More) through review of the graphed data. This is Activity 6 in the Great Explorations in Math and Science (GEMS) guide titled Real Reasons for Seasons: Sun-Earth Connections. The resource guide is available for purchase from the Lawrence Hall of Science. This activity requires use of an overhead projector and colored transparency pens. (View Less)

This math problem demonstrates the concept of geometric progression, through an example of a million dollar contract between an employee and an employer. Application of the concept of geometric progression to social cause activism is addressed. This... (View More) resource is from PUMAS - Practical Uses of Math and Science - a collection of brief examples created by scientists and engineers showing how math and science topics taught in K-12 classes have real world applications. (View Less)

Using the simple example of calculating the probability of reaching a traffic light while green, students are shown how to build a mathematical model using a very commonly-taught formula (sum of first n integers) to solve a rather practical problem.... (View More) This resource is from PUMAS - Practical Uses of Math and Science - a collection of brief examples created by scientists and engineers showing how math and science topics taught in K-12 classes have real world applications. (View Less)