In his State of the Union address in January, President Bush stressed the importance of improving math education. He proposed to "train 70,000 high school teachers to lead advanced placement courses in math and science, bring 30,000 math and science professionals to teach in classrooms, and give early help to students who struggle with math."

But where will these teachers come from? And will the training of teachers be sufficient to increase the number of students choosing math and science careers? And why does all this matter?

Because mathematics is the foundation of the natural sciences. It is no coincidence that Isaac Newton, the man who formulated the law of gravitational attraction that revolutionized our understanding of the universe, was also the man who popularized the calculus. And the natural sciences, however pure, are what give us airplanes, cable TV and the Internet.

In the 2003 Program for International Student Assessment, a test that measures math literacy, American 15-year-olds performed worse than their peers in 23 countries, as well as those in Hong Kong. It's not hard to see why. According to the National Council of Teachers of Mathematics, 40 percent of the nation's middle school math teachers do not have the equivalent of an undergraduate minor in math. The average starting salary of a teacher is only $30,000, whereas the average starting salary for a recent college graduate in computer science or engineering is $50,000.

Short of following the British, who have proposed paying experienced math teachers more than $100,000, with a guaranteed minimum of $70,000, where will we find a way to attract the thousands of teachers George Bush wants?

New York State initiated an innovative program to bring teachers from Jamaica for two or four years to teach in New York schools. Jamaica, a developing nation where one U.S. dollar equals 65 Jamaican dollars, is nonetheless a stable, English-speaking nation with an unbroken democratic tradition; it stands poised to beat the United States in establishing the world's first Institute for Mathematical Methods in Counterterrorism. When teachers for the New York program were recruited on the campus of the University of the West Indies, recruiters found more experienced math and science teachers than they ever dreamed they would.

But you can have all the teachers in the world and still not inspire kids to learn math. My friend Autumn e-mailed me about her nephew, Joshua: "He's upset because he's asked several of the math teachers why math is important or what are certain formulas used for -- there has to be a use, correct?"

Autumn told her nephew about my work in counterterrorism and for the television crime drama "Numb3rs." Autumn reported, "He's told his math teachers about you as well, and about the show 'Numb3rs.' He's informing them that through something called lattice theory you are managing to fight terrorists -- all with math."

Mathematics is art, and should be appreciated for its beauty, not simply for its utility. But we cannot expect 11 year-olds to cherish totally order-disconnected topological spaces as much as professional mathematicians do.

As I first proposed in January 2005, television shows like "Numb3rs" (or "Medium") -- where the main characters are mathematicians -- could work with the National Council of Teachers of Mathematics to show kids how math is really used; the council and Texas Instruments are now working together to use "Numb3rs" to promote math literacy in schools.

Another way to inspire kids is to relate mathematics to something they see every day. In order to excite students and draw funding to his school, school superintendent Ronald Ross of Roosevelt, N.Y., has begun looking into the idea of creating a curriculum involving math and counterterrorism. What kinds of topics would students learn?

The opening line of the Oscar-winning movie "A Beautiful Mind" is "Mathematicians won the war." During World War II, the mathematics underlying cryptography played an important role in military planning. Winston Churchill admired Alan Turing, the mathematician who had mastered the German codes, recognizing him as the man who had perhaps made the single greatest individual contribution to defeating Hitler.

At Los Alamos, the lab that built the atomic bomb, Cliff Joslyn uses lattice theory to mine data drawn from thousands of reports of terrorist-related activity to discover patterns and relationships that were previously in shadow.

Lattice theoretical methods developed at MIT tell us the probability that we have disabled a terrorist cell, based on how many men we have taken out and what rank they hold in the organization. Lauren McGough, a Massachusetts high school student, tested the accuracy of this model by getting her classmates to pretend they were terrorists, passing orders down a fictitious chain of command, essentially confirming what the theory predicts.

High school students could learn algebra, trigonometry, calculus and logic while also learning concrete applications involving homeland security. No longer would students yawn and ask, "What is math good for?" Beauty could defeat both terror and boredom.

Whatever you may think of the State of the Union address, when it comes to supporting math education, we should all see pi to pi. President Bush is correct when he says that mathematics education in America must improve if the United States is to stay economically competitive, but the stakes are much higher than that. During the Cold War, the United States would not have tolerated a military gap between itself and its adversaries. Yet today, with 61 percent of all U.S. doctorates in math going to foreigners (15 percent to Chinese), we readily accept a "math gap."

Dollar for dollar, the best defense against our adversaries' weapons of mass destruction may be our allies in the Americas, armed with weapons of math instruction.

Improving math education is not merely a smart idea. It is a matter of national security. Algebra is one revolutionary Islamic concept we cannot afford to neglect or ignore.

There was no Orange-style revolution in Belarus following the 19 March presidential elections. But there may have been the beginning of a revolution of the spirit that will bring the last tyranny in Europe to an end. Observers should not lament the "failure" of revolution but should hail the beginning of a genuine democratic movement, which is stronger today than it was just a few years ago.

From the beginning of this campaign, there was little sign of a real contest. Lukashenka could have won a free and fair election: Strong economic growth and social stability might have guaranteed him half of the vote or so, had the vote actually been counted. But a free and fair vote carried the risk of defeat, however remote, and the ghost of the Orange Revolution in Ukraine in 2004 fueled hysteria within the regime. Consequently, just before the vote, the government criminalized opposition-related activity and began to arrest election monitors and activists from nongovernmental organizations on charges of terrorism.

Yet Lukashenka wanted some legitimacy for his reelection and therefore allowed opposition candidates to participate. Surprisingly, two challengers, the leader of the united opposition, Alyaksandr Milinkevich, and the former rector of the Belarusian State University, Alyaksandr Kazulin, refused to bow to the dictator and decided to play by their own rules. Their 30-minute campaign speeches on state TV (that is how much exposure to alternative opinions an ordinary TV viewer in Belarus has had in five years) were devoted not much to the issues but to attacking Lukashenka's character - an act previously unthinkable in a country where one official once declared Lukashenka to be "a bit higher than God." Both candidates emphasized freedom and democracy rather that day-to-day issues in their messages and found much sympathy, to the surprise of observers. Thousands turned out on the streets to hear speeches from opposition candidates, numbers that were unthinkable even in Minsk just a year ago.

Lukashenka saw the crowds as well and got nervous. Kazulin, whose particularly scathing attacks made him an instant celebrity, was beaten up by riot police. Dozens of observers and reporters were denied visas, expelled, or even arrested and charged with helping to plot a coup. State TV propped up its propaganda, and the KGB began to discover one plot after another every several days. In the last revelation, the head of the KGB claimed that the opposition would poison the tap water in Minsk using decomposing rats. And dozens of opposition activists with experience in street protests were rounded up in the run-up to the vote. Yet even in the face of these repressive tactics, Lukashenka's autocratic regime failed to deter people from mobilizing on the streets after the vote to denounce the fraudulent results.

On 19 March, at least 20,000 people took to the streets to protest the announcement of a "smashing" victory for Lukashenka, who was declared winner with 83 percent of the vote cast. And the protesters did not stop there, organizing an around-the-clock vigil on the central square of Minsk to demand annulment of the vote and new elections.

To be sure, the size of the protests was nowhere near the crowds that turned out in the streets in Kyiv a year and half ago. Yet thousands of Belarusians braved not only the blizzard but explicit threats of jail and even the death penalty made by the KGB on the eve of elections. Most of them faced immediate dismissal from state jobs or university if found in the crowd or even caught checking an opposition website. And they barely had means to communicate with each other due to suspension of most of the opposition press and an almost total blockade of the Internet and mobile communications. Could one have expected a protest of more than just a handful of dissidents in these, almost Soviet-style conditions?

SMALL VICTORIES

In retrospect, one has to admit that the protest was doomed. The opposition knew it did not win the elections and hence did not attempt to stage a revolution as such: that is, to attempt to snatch power from Lukashenka by force. Instead, the protest turned into a show of defiance, an attempt to get the sympathy and attention of fellow countrymen. Day after day, the numbers dwindled, not least because each new day brought the protesters closer to an imminent show of force by the government. It came on the morning of 23 March, when people on the square were surrounded and thrown into police trucks, then taken to jails and sentenced to various prison terms.

The dramatic end of the protest also highlighted an unpleasant fact for the Belarusian opposition: A combination of fear imposed by the government on one part society, and acceptance of the regime by another part, still limits its appeal and following. The streets of Minsk these days were full of pictures of solidarity and defiance, but also of indifference from passers-by and loathing for the protesters from the regime's supporters.

Lukashenka's opponents still have a long way to go to communicate their message to the entire society - and will have to do so in an even more repressive political climate than they have endured so far. But failures and disappointments shall not distract attraction from the opposition's successes in this campaign and afterward. It achieved unity and presented society with a leader whom many accepted as a credible alternative to Lukashenka. It invigorated the network of democratic activists, who braved certain repression and imprisonment. It spurred public debate, and the quest for free information was boosted even when the regime knocked out independent newspapers by the dozens. And it proved to the society and the entire world that support for democratic change in Belarus is not limited to just a handful of fanatics.

The March events may be the beginning of a newly invigorated fight for democracy in Belarus as much as it can trigger a new, more severe round of oppression from the regime. The West cannot stop paying attention. Those struggling for democracy, especially those already in jail, deserve our solidarity; families of political prisoners need support; and recently expanded democratic assistance programs, especially efforts to expand access to independent media within Belarus, must be sustained, not cut, now that the election is over.

Democrats in Belarus defied expectations and demonstrated that they exist, they have some popular support, and they are willing to take risks in their fight for freedom. Now, more than ever, supporters of freedom in the West need to stand with them.

Before attacking Iraq in March 2003, the United States told the world that Saddam Hussein had reconstituted his nuclear weapons program in defiance of the United Nations. That claim, used to justify the war, was based on assessments provided by the United States intelligence community. But as everyone now knows, those assessments were wrong. So Jeffrey T. Richelson's history of American nuclear intelligence, including our attempts to learn about Iraq's nuclear program, could hardly be more timely.

In "Spying on the Bomb," Richelson, the author of several books on American intelligence, has brought together a huge amount of information about Washington's efforts to track the nuclear weapons projects of other countries. He examines the nuclear projects of Nazi Germany, the Soviet Union, China, France, Israel, India, South Africa, Taiwan, Libya, Pakistan, Iran and North Korea, as well as Iraq. Through interviews and declassified documents as well as secondary works, he sets out briefly what we currently know about those projects and compares that with assessments of the time.

This may sound like heavy going, but Richelson writes with admirable clarity. And along the way he has fascinating stories to tell: about plans to assassinate the German physicist Werner Heisenberg during World War II; about discussions in the Kennedy and Johnson administrations on the possibility of attacking Chinese nuclear installations; about Indian measures to evade the gaze of American reconnaissance satellites; and about the bureaucratic infighting over the estimates on Iraq.

The United States has put an enormous effort into gathering information about the nuclear projects of other countries. After World War II it equipped aircraft with special filters to pick up radioactive debris from nuclear tests for isotopic analysis. It created a network of stations around the world to register the seismic effects of nuclear explosions. Most important, in 1960 it began to launch reconnaissance satellites that could take detailed photographs of nuclear sites in the Soviet Union and China. Richelson occasionally speculates about the role of communications intercepts and of spies, but these appear from his account to have been much less important than the other methods of collecting information.

Through these means the United States has gathered a vast quantity of data, sometimes to surprising effect. Intelligence played a crucial role in the cold war, for instance, by reducing uncertainty about Soviet nuclear forces. Alongside such successes, however, there have been failures. One notable example concerned the first Soviet test, which took place in August 1949, much sooner than the C.I.A. had predicted. Another was the failure to detect Indian preparations for tests in May 1998, even though at an earlier time the United States, with the help of satellite intelligence, had managed to learn about preparations the Indians were making and to head off their tests.

But the most serious failure of all was in Iraq in 2003, because in no other case did the intelligence assessments serve as justification for the use of military force. The information needed for avoiding political surprise is one thing. That needed for preventive war is quite another, if only because of the consequences of making a mistake.

Beyond making the uncontroversial recommendation that "aggressive and inventive intelligence collection and analysis" should continue, Richelson draws no general conclusions. That is a pity, because his rich material points to issues that cry out for further analysis. He suggests in one or two cases that failures sprang from the mind-set of the intelligence community, but he does not elaborate on this point. He has little to say about relations between policy makers and the intelligence community, even though the quality of intelligence and the use made of it depend heavily on that relationship.

His focus is no less narrow in his discussion of foreign nuclear projects. He concentrates on the programs themselves, paying very little attention to their political context. Does that reflect a technological bias in nuclear intelligence? Would, for example, the prewar assessment of Iraqi nuclear capabilities have been more accurate if it had paid more attention to the broader political and economic circumstances of Hussein's regime?

The task of intelligence has become more complex than it was during the cold war. A single dominant nuclear opponent has now been replaced by a number of nuclear states, along with states and stateless terrorists that are aiming to get their hands on nuclear weapons. Meanwhile, the technology needed for producing nuclear weapons has become easier to acquire.

Many critics believe the recent performance of the intelligence community shows it has not responded adequately to this new situation. Richelson does not have much to say on this question; nor does he discuss the likely impact of the current reforms, initiated in response to the Iraq war, on the quality of intelligence. His reticence may imply that he does not think reform is necessary. Still, it is disappointing that he does not draw on his historical survey to discuss whether new approaches are needed for dealing with nuclear threats, and, if so, what those new approaches might be.

Stanford, California - If the deal to supply India with nuclear technologies goes through, future generations may remember it for quite different reasons than the debate over nuclear proliferation.

Nuclear power emits no carbon dioxide, the leading cause of global warming. And India, like most developing countries, has not been anxious to spend money to control its emissions of this and other so- called greenhouse gases.

India is embracing nuclear power for other reasons - because it can help the country solve its chronic failure to supply the electricity needed for a burgeoning economy. But in effect, the deal would marry their interest in power with ours in protecting the planet.

India is growing rapidly. In recent years its economy has swelled at more than 7 percent per year, and many analysts believe it is poised to grow even faster in the coming decade.

The economic growth is feeding a voracious appetite for electricity that India's bankrupt utilities are unable to satisfy. Blackouts are commonplace. Farmers, who account for about two-fifths of all the power consumed, can barely rely on getting power for half of every day. In industrial zones, the lifeblood of India's vibrant economy, unstable power supplies are such trouble that the biggest companies usually build their own power plants.

So most analysts expect that the demand for electricity will rise at about 10 percent a year. (For comparison, U.S. power demand notches up at just 2 percent annually.)

Over the past decade, about one third of India's new power supplies came from natural gas and hydro electricity. Both those sources have been good news for global warming - natural gas is the least carbon- intensive of all the fossil fuels, and most of India's hydroelectric dams probably emit almost no greenhouse gases.

However, the bloom is coming off those greenhouse-friendly roses. New supplies of natural gas cost about twice what Indians are used to paying, and environmental objections are likely to scupper the government's grand plans for new hydro dams.

That leaves coal - the most carbon-intensive of all fossil fuels. Already more than half of India's new power supplies come from coal, and that could grow rapidly.

Traditionally, the coal sector was plagued by inefficiencies. State coal mines were notoriously dangerous and inefficient. Coal-fired plants in western provinces, far from the coal fields and vulnerable to the dysfunctional rail network, often came within days of shutting operations due to lack of coal.

All that is changing. Private and highly efficient coal mines are grabbing growing shares of the coal market. Upgrades to the nation's high-tension power grid is making it feasible to generate electricity with new plants installed right at the coal mines.

These improvements make coal the fuel to beat.

So the deal struck with President George W. Bush matters. At the moment, India has just 3 gigawatts of nuclear plants connected to the grid. Government planners envision that nuclear supply will grow to 30 GW over the next generation, but that will remain a fantasy without access to advanced nuclear technologies and, especially, nuclear fuels - such as those offered under the deal with the Bush administration.

By 2020, even after discounting for the government's normal exuberance in its forecasts, a fresh start for nuclear power could increase nuclear generating capacity nearly ten-fold.

By displacing coal, that would avoid about 130 million tons of carbon dioxide per year (for comparison, the full range of emission cuts planned by the European Union under the Kyoto Protocol will total just 200 million tons per year).

The effort, if successful, would eclipse the scheme under the Kyoto Protocol, known as the Clean Development Mechanism, that was designed to reward developing countries that implement projects to reduce their emissions of greenhouse gases. The largest 100 of these CDM projects, in total, won't reduce emissions as much as a successful effort to help India embrace safe nuclear power.

The benefits in slowing global warming are not enough to make the deal a winner. Care is needed to tame the risks of proliferation, especially those connected from India's system of breeder reactors that make more weapons-capable fuel than they consume. And complementary efforts, led by Indians, are needed to fix the trouble in India's electricity sector that have so far discouraged private investors.

None of this will be easy. There are no silver bullets in cooling the greenhouse.

What is important is that the deal is not just a one-off venture, as the administration's backers, on the defensive, have suggested. It could frame a new approach to technology sharing and managing a more proliferation proof fuel cycle that, in turn, will multiply the benefits of a cooler climate.

Coal-rich China is among the many other countries that would welcome more nuclear power and whose emissions of carbon dioxide are growing fast - even faster than India's.

Quite accidentally, it seems, the Bush administration has stumbled on part of an effective strategy to slow global warming. Now it should marry that clever scheme overseas with an effective plan here at home.

The nuclear deal reached during President Bush's recent visit to India unleashed a predictable wave of criticism. From editorial and op-ed pages to Congress, led by the left but supported on the right, the administration has been assailed for making a bad bargain.

Under the agreement, which still needs congressional approval, India would open much of its nuclear facilities to international inspections in return for gaining access to the world's supplies of uranium and U.S. nuclear expertise.

The attacks on the deal reflect the view of the nonproliferation lobby -- the experts and policymakers whose central concern is to stop the spread of nuclear weapons. I share their aim. But American arguments against the India deal are misleading and only expose the deep contradictions, if not hypocrisy, of our own nuclear policies.

There are two main criticisms of the agreement: first, it undermines the Nuclear Nonproliferation Treaty, the NPT, and second, it permits, even encourages, India to expand its nuclear weapons production.

The NPT issue is particularly sensitive at a time when the international community is trying to persuade Iran to give up certain nuclear technologies which many nations fear are part of a secret bomb program.

The NPT created two sets of global rules -- one for the five nuclear weapons powers it recognizes (China, the United States, Russia, Britain and France) and another for everyone else. The five, for example, allow only "voluntary'' international safeguards on their civilian nuclear facilities. They have no obligation to open their military programs to any kind of scrutiny. And the NPT places no real limits on their arsenals, other than a vague commitment to reduce and eventually eliminate all nuclear weapons.

The rest must open their nuclear energy programs fully to international inspection and agree never to build bombs. In exchange, they gain access to the peaceful uses of nuclear energy.

Iran -- and North Korea -- made that bargain and can be held to account for breaking the rules. But India consistently regarded that as an unequal trade-off and never signed the NPT; neither did Pakistan and Israel, two other nuclear weapons states.

India's nuclear program is the product of decades of largely indigenous effort; it did not result from secretive proliferation in violation of the NPT.

The deal with India turns the five into six. It treats India as a de facto member of the inner club. The deal would require changes in U.S. law to remove existing restrictions on the transfer of nuclear energy technology, changes that would allow India to be treated no differently from China.

That does not weaken the NPT -- it strengthens it. It brings it more into accord with reality and gives India a stake in a system it had previously rejected as unfair. It paves the way for India to join the Nuclear Suppliers Group, the international organization that controls nuclear exports.

The critics are right that the deal enables India to expand its production of fissile materials to make nuclear warheads. Eight of India's 22 power reactors will remain outside international controls, along with a new breeder reactor. The Indians fought for that exemption because they feel their nuclear arsenal may not be large enough to deter a nuclear first strike by Pakistan or China in the future. Critics fear that with increased access to uranium and limited inspections, India will set off an arms race in South Asia.

Again, the agreement simply treats India like the five. Nonproliferation experts claim that unlike India, however, the five have halted their production of plutonium and highly enriched uranium that could be used to build new weapons. This is true, but misleading.

The five have massive stockpiles of fissile material built up during the Cold War. "If I've got a full pantry, it's easy for me to swear off trips to the supermarket,'' said Michael Levi, an arms-control expert at the Council on Foreign Relations.

Moreover, the United States has embarked on a new program to rebuild its nuclear weapons production capability, including creating new facilities to produce plutonium cores for warheads and to assemble them.

India has agreed to back a global pact to cut off fissile-material production. But the Bush administration does not support a treaty that would actually verify this is taking place. And the U.S. Senate has refused to ratify the Comprehensive Test Ban Treaty that would permanently halt any new testing of nuclear weapons.

A Congress that can support those policies is hardly in a position to challenge the administration's agreement with India. Rather than block the U.S.-India deal, it makes more sense to improve it. This could include reaching agreements for cooperation between the two countries to ensure the safety and security of nuclear facilities, including those for military purposes, suggested Stanford Professor Scott D. Sagan, a leading expert on nuclear safety and nonproliferation. "Reducing the risk of terrorist theft of nuclear materials or weapons in India would also help protect the United States,'' argues Sagan.

Beyond that, the six acknowledged nuclear powers should begin to seriously fulfill their part of the NPT bargain -- to cap fissile-material production, to ban nuclear testing, and to eventually radically reduce stored arsenals of nuclear weapons and materials.