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**Mathematics**

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In a mechanical demonstration of the Pythagorean theorem, this example provides a practical, hands-on method for deriving square roots using a carpenter's square. This resource is from PUMAS - Practical Uses of Math and Science - a collection of... (View More) 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 demonstration, evidence of the Earth's rotation is observed. A tripod, swiveling desk chair, fishing line and pendulum bob (e.g., fishing weight or plumb bob) are required for the demonstration. This resource is from PUMAS - Practical Uses... (View More) 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 website provides an overview of ocean surface circulation. Satellite and model data allows high school students to investigate circulation patterns, navigation, associated weather and climate, natural hazards and marine resources. There are... (View More) five lessons affiliated with this site; the teacher and student guides to each can be accessed directly from the home page. (Note that these lessons are cataloged individually.) Other links provide information on background, impact, gathering data, researchers, data resources and a glossary. There are also online quizzes on the home page on navigation, coriolis force, satellites, ocean warming, energy balance, and ocean gyres. (View Less)

This article describes an approach designed to decrease math anxiety and teach students about the use of mathematical symbols simplifying radicals. A deck of cards is used in a demonstration, and a problem set using real life examples to master the... (View More) use of radicals is included. 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)

Mathematicians often argue that anything which can be represented numerically or algebraically can also be represented geometrically. This is perhaps true even to the extent that simple numeric calculations can be demonstrated geometrically. This... (View More) example illustrates one such geometric process of addition. 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)

It is common in the real world to see mathematical examples where the cents sign was used when the dollar sign was supposed to be used. Converting and comparing decimals and fractions can help clear up this misconception. Two real coupons clipped... (View More) from a Sunday paper coupon section are included in this activity. 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 is a booklet containing 96 mathematics problems involving skills relating to algebra, fractions, graph analysis, geometry, measurement, scale, calculus, and other topics. Learners will use mathematics to explore NASA science and space... (View More) exploration content relating to space weather, the study of the Sun and its interactions with Earth. Each problem or problem set is introduced with a brief paragraph about the underlying science, written in a simplified, non-technical jargon where possible. Problems are often presented as a multi-step or multi-part activities, and there are problem sets for learners in grades 3-5, 6-8 and 9-12. This booklet can be found on the Space Math@NASA website. (View Less)

This is a lesson about the path of one xenon ion through an ion propulsion engine. Learners will focus on what a single xenon ion sees and does as it goes through the reactions and processes that provide the ion jet propulsion engine's thrust. They... (View More) will learn to adopt an informed, experimental method for use in a later lesson. A tightly-scripted slide-by-slide presentation is provided. Preconceptions are discussed. This is activity 4 of 5 in Structure and Properties of Matter: Ion Propulsion. (View Less)

This is a resource that explains the rationale behind the multiple time zone divisions in the United States. Learners will work through a problem set to practice calculating the time in one time zone, given the time in another time zone. This is... (View More) activity 9 from the educator guide, Exploring Magnetism: Magnetic Mysteries of the Aurora. (View Less)

This article discusses an example of a practical use of the square root of 2 by explaining how this irrational number figures in printing two pages on one side of A series-sized paper. 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)