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Cranberry Estimation [electronic resource]

Second-graders in Massachusetts estimate the number of scoops of cranberries that will fit in a jar. They report, graph, and discuss group estimates with the class as the concepts of range, mode, and median emerge. Covers the following NCTM standards: estimation, statistics and probability, reasoning, and connections.

Probability [electronic resource]

Demonstrates how algebra applies to the study of probability. For example,games of chance, health statistics, and product safety are areas in which decisions must be made according to our understanding of the odds. Also shows how the subject of probability has evolved to support such fields as genetics, social science, and medicine.

Data Analysis and Probability [electronic resource]

What do mathematicians mean when they say that an event has a 50 percent probability of occurring? How does the study of statistics apply algebraic principles to real-world events and conditions in a meaningful way? Why are data analysis and probability so closely related, and what are the practical benefits of studying them together? This video answers these questions and addresses fundamental concepts such as the law of large numbers and the notion of regression analysis. Written and hosted by internationally acclaimed math educator Dr. Monica Neagoy, the program offers engaging explorations based on true stories and real data, utilizes various TI-Nspire applications, and models the seamless connection among various problem representations.

Math Improves March Madness Predictions [electronic resource]

A mathematician is using a sophisticated computer-assisted process to predict the winners in the NCAA men's basketball tournament; he has previously beaten 97 percent of the brackets submitted to the ESPN challenge.

Mathematical Patterns May Help Forecast Future Crimes [electronic resource]

Mathematicians are helping police find the locations where future crime is most likely to occur.

Ranking Sports Teams in New Ways [electronic resource]

Mathematicians introduce novel techniques for rating sports teams.

Science of Successful Basketball Teams [electronic resource]

Mathematicians and scientists analyze what makes a good team great.

TEDTalks [electronic resource]: Hans Rosling - Stunning Data Visuals Tell a New Story About HIV

Dr. Hans Rosling, a professor of global health at the Karolinska Institute, believes that the way to end the HIV epidemic is not through drug treatment but through preventing transmission of the HIV virus in the first place. In this TEDTalk, Rosling uses visually stunning presentation software - that he himself developed - to clarify the complex risk factors of one of the world's most misunderstood diseases, and thus help pinpoint methods of eradication. Says Business Week Online, "Rosling believes that making information more accessible has the potential to change the quality of the information itself.

Breaking the Wall of Randomness [electronic resource]: How Random Phenomena Disseminate

Is there order in randomness? When we observe random phenomena in our lives, we often suspect some key that unifies them. While this impulse may be a foundation of superstition, it is also a motivation for mathematicians. In this video from the 2009 Falling Walls Conference, Wendelin Werner analyzes the large-scale behavior of random systems such as random walks, the mathematical formalization of a trajectory that consists of taking successive random steps. The path traced by a molecule as it travels, the financial status of a gambler, or the propagation of a disease can all be modeled thanks to random walks, thus making Werner's intricate mathematical analysis applicable to a wide range of fields, from physics to epidemiology. For his work, Werner has been awarded the Fields Medal, [...]

Understanding Scientific Measurement [electronic resource]

Operating on the premise that the physical world can be described by mathematical relationships, this program uses a simple yet powerful series of experiments to study a specific physical phenomenon-the motion of a steel spring. Viewers learn how to construct equations involving dependent variables, independent variables, and known constants in order to predict and measure acceleration and periods of oscillation. Also illustrated are the most effective ways to graph test results and a typical approach for writing a clear and persuasive report on an experiment-including its aim, apparatus, method, results, analysis, evaluation, and conclusion.
2009; 2008

How Long Is a Piece of String? [electronic resource]

In the spirit of a famous rhetorical question, this program explores the world of scientific measurement at the molecular and atomic level. Host Alan Davies tries to establish the length of a piece of household string-but what appears to be a simple task soon turns into a mind-bending voyage of discovery. After discussing the matter with leading mathematician Marcus du Sautoy, Davies learns that his segment of string may in fact be infinitely long. And when MIT professor of quantum physics Seth Lloyd gets involved, events take an even stranger turn. Not only do objects appear in many places at once, but reality itself becomes a nebulous distortion-in which the humble act of measuring string could, in theory, pull the world into a black hole.
2010; 2009

The Math Code [electronic resource]: Prediction

For a few weeks every year starlings migrate, creating shifting, synchronized formations of nearly a million birds that flow across the sky like a well-choreographed dance. How does each bird anticipate where its neighbor will fly? Studying data from Google allows analysts to predict flu outbreaks-so why can't weather be forecast more than a few days in advance? And if winning a game of Rock, Paper, Scissors depends on random chance, how is it that some people continually beat the odds? In this program Professor Marcus de Sautoy discusses mathematical models that help predict outcomes, touching on game theory, chaos theory, and the butterfly effect.

Sampling, Surveying, and Data Analysis [electronic resource]

Emma's band wants to post a music video on YouTube, but they aren't sure which of their songs should be featured. Emma's best friend helps them choose by using Facebook contacts to conduct a survey, exploring the concepts of qualitative and quantitative data along the way. Viewers learn how to sample, present, and analyze data, generate histograms, frequency tables, stem and leaf plots, determine the interquartile range, and more. The video also defines random and non-random samples, dot and box plots, outliers, and other essential terms.

Money and Speed [electronic resource]: Inside the Flash Crash

On May 6, 2010, the Dow Jones took a dramatic nosedive but recovered 20 minutes later. Now known as the 2010 Flash Crash, the incident left financial players and Wall Street commentators agape. What triggered the economic tsunami, and could it happen again? In this program a data analyst, a fund manager, and others explain the computerized trading that precipitated the historic Flash Crash. Mathematician Paul Wilmott is wary of this algorithmic method that replaces human decision-making, while fund manager Rishi Narang supports it. The video includes commentary from computer-historian George Dyson and from Gregg Berman, the SEC regulator who led the investigation into the Flash Crash.

TEDTalks [electronic resource]: Hans Rosling, Debunking Third-World Myths With the Best Stats You've Ever Seen

In Hans Rosling's hands, global trends in health and economics come to vivid life and the big picture of global development snaps into sharp focus. In this TEDTalk, Rosling debunks myths about the so-called developing world with credible statistics illustrated by visualization software he developed. The software's animations transform facts and figures into moving bubbles and flowing curves that make trends clear, intuitive, and even playful.

TEDTalks [electronic resource]: Peter Donnelly, How Juries Are Fooled by Statistics

In this TEDTalk, Oxford mathematician Peter Donnelly reveals the common mistakes humans make in interpreting statistics - and the devastating impact these errors can have on the outcome of criminal trials. Donnelly is an expert in probability theory who applies statistical methods to genetic data. He's also an expert on DNA analysis, and an advocate for sensible statistical analysis in the courtroom.

Using Samples [electronic resource]

This program begins with an explanation of the difference between a Population and a Sample, and the reasons why samples are so important in estimating data relating to populations too large or too impractical to be measured in their entirety. The program emphasizes the need for random samples, explains how several random samples of the same size will vary, and then looks at ways of dealing with this variability, calculating the Standard Error of the Mean, and how to estimate the "95% Confidence Interval. The program goes on to show how, when dealing with quantitative data, you can calculate the size of the sample that is needed in order to achieve the precision required.
2005; 1996

TEDTalks [electronic resource]: Geoffrey West - the Surprising Math of Cities and Corporations

Physicist Geoffrey West has found that simple, mathematical laws govern the properties of cities - that wealth, crime rate, walking speed, and many other aspects of a city can be deduced from a single number: the city's population. In this mind-bending talk from TEDGlobal he shows how it works and how similar laws hold for organisms and corporations.

Taking a Chance [electronic resource]: Key Probability Concepts

It may sound improbable for young people to be fascinated by the mathematics of chance and prediction - but this program will almost certainly make it happen! Set in the intriguing world of cards, coins, and dice, the video introduces the basic concepts of probability through colorful, easily understood examples. Viewers learn about complementary events, two-way tables, Venn diagrams, tree diagrams, and independent and dependent events. Featuring a crafty magician who uses his tricks to modify and improve the odds, the program provides a charming and highly instructive way to introduce probability concepts to students.

Poisson Probability Distribution and the Urn Model [electronic resource]

In this program, an evil genius named Emily and other experts reveal two more probability distributions for discrete random variables. First, the Poisson approximation to the binomial and its use in the Poisson Probability Formula are spotlighted, along with the natural logarithm constant. Then, the Urn Model is appraised, in which sampling both with and without replacement is demonstrated.
2008; 2000