How are state and local governments verifying the accuracy of the vote in this critical election year? One approach designed to simplify a major challenge for election officials as the ballots arrive is the risk-limiting audit, which...

As part of his continuing series of reports examining the country's economic future, Paul Solman sits down with Yale historian Paul Kennedy to discuss the rise and fall of the U.S. and other great economic powers

In Florida, a toxic algae bloom that began last fall has killed dolphins, sea turtles, manatees, even a whale shark. And the toxins are not only devastating to wildlife, but difficult for humans and the economy as well. William Brangham...

Although slavery was abolished in New York City in 1827, residents remained divided on the issue through the Civil War. NewsHour correspondent Gwen Ifill talks with historian James Horton about slavery's impact on New York.

President Donald Trump announced this week his plan to renegotiate NAFTA, a free trade agreement with Canada and Mexico, citing a loss of jobs in the U.S. But many business owners and politicians in Texas, which shares a border with...

Empowering diabetes patients to feel like they can change their health is the goal of Project Dulce, an innovative program in San Diego that has been held up as a national model. It combines peer counseling, guidance from physicians and...

Across the country, election officials are scrambling to decide how to adjust to the coronavirus pandemic. Louisiana and Georgia have postponed their primary contests, and candidates have eliminated public rallies entirely. But in...

Childhood trauma impacts millions of Americans, and its consequences can be devastating. Those experiencing high levels of trauma can see dramatically lower life expectancies, and the CDC estimates it accounts for billions of dollars...

Affirmative Action

As war, terrorism and uncertainty pervade the globe, travelers are flocking to Iceland -- regarded as one of the safest nations on the planet. Fishing used to be the country's most profitable industry, but in recent years, tourism has...

Each year, an estimated 2 million people suffering from mental illness are booked into county jails. In Kansas City, Missouri, like other places around the country, officials are looking for a better way to get those people the help they...

How do the structures of organisms enable life's functions? Benchmarks for grades 2, 5, 8 and 12 are included.

What is integration? Why is it computed as the opposite of differentiation? What is the fundamental theorem of calculus?

Paul Andersen details the first 7 of 13 labs in the AP Biology Curriculum. The following topics are all covered: Artificial Selection, Hardy-Weinberg Equilibrium, Comparing DNA using BLAST, Diffusion and Osmosis, Photosynthesis,...

What is the derivative of a^x? Why is e^x its own derivative? This video shows how to think about the rule for differentiating exponential functions.

The formula for the cross product can feel like a mystery, or some kind of crazy coincidence. But it isn't. There is a fundamental connection between the cross product and determinants.

What happens when you divide things that aren't numbers?

In this video Paul Andersen explains how atoms are conserved in a chemical reaction. This can be seen in a chemical equation where the subscripts represent the atoms in the molecule and the coefficients represent the molecules. The mass...

Moser's circle problem, and its solution.

Derivatives are about slope, and integration is about area. These ideas seem completely different, so why are they inverses?

A solution to the puzzle involving two blocks, sliding fricionlessly, where the number of collisions mysteriously computes pi

Classical computers struggle to crack modern encryption. But quantum computers using Shor's Algorithm make short work of RSA cryptography. Find out how.

So we ended the last episode nearing the close of the 1980s and Nintendo had become the dominant player in the home console market, but Sega, originally a slot machine game company during World War 2, was looking to get its own console...

A solution to the puzzle involving two blocks, sliding fricionlessly, where the number of collisions mysteriously computes pi