InterMath is a professional development effort designed to support teachers in becoming better mathematics educators. It focuses on building teachers' mathematical content knowledge through mathematical investigations that are supported by technology. InterMath includes a workshop component and materials to support instructors. For each of the following problems, consider how you would pose the same problem to your students. Would the wording need to change? Would you need to include more pictur
Data Analysis and Probability Games
These activities support students as they conceptually develop a sense of how probability affects the outcome of games. Students will find that applying their knowledge of probability will help them win some of the games
Data Analysis: One-Die Toss
Students need many experiences tossing one die, collecting data and analyzing that data to construct meaning for the probability of the different outcomes. Since a small student sample is often skewed, it is necessary for teachers to help students collate class data to better approximate the theoretical probability that the outcomes of tossing a single die are equally likely. The one-die games below motivate data collection opportunities that students will play again and again while generating l
Data Analysis: Two-Dice Toss
Once students realize that the outcomes of tossing one die are equally likely, they sometimes transfer that knowledge to tossing two dice. This is a common misconception that is best addressed through data collection and analyzing that data rather than through telling. See suggested two-dice games below that students can play to gain experiential knowledge of the results of tossing two dice. Several of the games encourage students to develop better strategies in order to win and their growing un
Data Analysis: Coin Flipping
Using two different coins and recording the results of both coins helps students dispel this initial misconception as they analyze the graph results. Class discussion should focus on analyzing the data to determine if the game is fair or not. Directions and gameboard are included in the download.
NASA CONNECT Tools of the Aeronautics Trade
In NASA CONNECT Tools of the Aeronautics Trade, students explore the U.S. Customary and Metric systems of measurement, understand how to convert units in both systems, and are introduced to the four forces of aerodynamics: lift, weight, drag and thrust. Students also investigate the tools and techniques used by NASA aeronautical engineers and scientists to measure lift and drag. Grades 4-8.
NASA CONNECT Data Analysis and Measurement: Having a Solar Blast
In NASA CONNECT Having a Solar Blast, NASA engineers and researchers use data analysis and measurement to predict solar storms, anticipate how they will affect the Earth, and improve our understanding of the Sun-Earth system. Grades 6-8.
NASA CONNECT Data Analysis and Measurement: Dancing in the Night Sky
In NASA CONNECT Dancing in the Night Sky, students will learn about the Aurora Borealis or Northern Lights. They will learn the many legends and myths that have revolved around the aurora throughout the history of mankind. Students will also discover how NASA scientists and engineers use satellite technology to measure and analyze aurora data. They will see how Norwegian scientists apply the concepts of data analysis and measurement to study the Northern Lights by using ground-based instruments
Trade Rule Game
Play a game and find out about a Nobel Prize awarded discovery or work! Bertil Ohlin, awarded the Prize in Economics in 1977, showed that countries engage in and benefit from trade if their production resources differ from each other. The Sveriges Riksbank Prize in Economic Sciences in Memory of Alfred Nobel has been awarded since 1969. Alfred Nobel, in whose memory the Economics Prize is awarded, was not only an inventor, but was also an intrepreneur who established the first international hold
Geospatial System Analysis and Design
The course provides the geospatial information system professional an overview of systems analysis and design with emphasis the concepts behind the design process including: business use case modeling, business object modeling, requirements definition, analysis and preliminary design, and, finally, detailed design and deployment. The concepts of the geospatial software and database development process are introduced and the limitations of current modeling techniques are addressed within the spat
eCommunities: Analysis and Design of Online Interaction Environments, Winter 2009
Gives students a background in theory and practice surrounding online interaction environments. For the purpose of this course, a community is defined as a group of people who sustain interaction over time. The group may be held together by a common identity, a collective purpose, or merely by the individual utility gained from the interactions. An online interaction environment is an electronic forum, accessed through computers or other electronic devices, in which community members can conduct
Data analysis: as real world as it gets
In Data Analysis: As Real World As It Gets, we feature resources for teaching about data and statistics as supported by the NCTM Standards (NCTM, 2000). Data collection and analysis can be an avenue into the meaningful mathematics and problem-solving skills needed by students in the twenty-first century. And an answer to the student question, Why do we have to study math? can be found when teaching mathematics with a real-world statistics approach.
You can access the problems below via the Load Homework dialogue in the File menu of the Virtual Lab. They have been organized by concept and ranked by difficulty (A ranking of 1 denotes an easier problem; 5 is more challenging). Word files for these problems are provided so that you may edit and distribute the assignments in your classroom. The following types of problems can be found:Unknown Silver Chloride and Gravimetric Determination of Arsenic.
Finding Empirical Formula from an Elementary Analysis
On another page, we discuss how to obtain the empirical formula from a given molecular formula. Here, we consider how to obtain the empirical formula from an elemental analysis of a sample. Remember that comparing the empirical formula obtained from an elemental analysis with that from a molecular formula tells us if the sample is consistent with the molecular formula.
Dimensional analysis allows us to change the units used to express a value. For instance, it allows us to convert between volume expressed in liters and volume expressed in gallons. The following video gives a brief overview of dimensional analysis, including conversion between the amount of a substance expressed in "number of molecules" and the amount of a substance expressed in "moles of molecules."
Earth Exploration Toolbook Chapter: Investigating Earthquakes: GIS Mapping and Analysis
This activity describes the technique of preparing latitude-longitude based data so it can be imported into a geographic information system (GIS). The chapter describes the steps to create a map to display data and guides users through some basic geographic analyses. The focus of the chapter's case study is earthquake prediction. Users download and format near real-time and historical earthquake data from the USGS. They import the data into ArcVoyager Special Edition GIS software, and analyze pa
Energy Country Analysis Briefs
This site contains briefs for every country in the world of interest to energy policy makers. Each brief has a narrative section, a map showing the country's location, and a section listing pertinent economic and energy data.
Students use graph of historical data and research historical and societal events to determine and analyze trends in energy.
An Undocumented Worker Describes the Impact of the World Trade Center Attack
This undocumented worker was left without work when the World Trade Center was attacked on September 11, 2001. The hundreds of thousands of undocumented immigrants who staff low paying jobs in the service industries are often invisible, despite their important contributions to the nation's economy. Largely unprotected by labor laws and ineligible for social security and unemployment insurance, these immigrants struggle to support themselves as well as, in many cases, family and relatives in thei
Cotton Mills Seen through Differing Perspectives: Critical Analysis of Primary Documents
In this lesson, students will read two primary source documents from Documenting the American South, a digital library collection sponsored by the University Library at UNC. One document is Child Labor in the Carolinas, a pamphlet published in 1909 by the National Child Labor Committee exposing the use of child labor in the cotton mills of North Carolina. The other document is Mill News, a weekly newsletter about the Southern cotton industry which was paid for and published by the mill companies