The Beijing Olympics, also known as the XXIV Olympiad, has already produced a collection of memorable moments. Some of these are unimaginable to us in the United States because we are unaware of a nation’s history. But we also have great achievements to be proud of as Americans. Here is a sampling from the first few days of competition that I feel typify the spirit of global participation, friendly competition, and national pride the Olympics are supposed to represent:

—Michael Phelps’s quest for 8 (and those other US swimmers) You could say it’s no coincidence that Phelps needs 8 gold medals to beat Spitz’s record for a single Olympic games. In Chinese numerology the number 8 is considered lucky, hence the opening ceremony comencing on 8-8-08. Phelps and the rest of the United States are hoping this superstition holds true because in the early games it has given many of us a reason to turn away from our busy lives and watch the Olympics. As a former competative swimmer (back in high school), watching Phelps and the rest of the US swimmers dominate is an amazing feat. Regardless of your opinion about the NASA-developed swimsuits or the state-of-the-art pool they use (a pool that uses wave-diminishing buoys, deeper flooring to increase speed, and resistance-free starting blocks to improve leaps), it still requires great athleticism to win the medals, and the US athletes are claiming them at breakneck speed. Cullen Jones put it best when he said, “The suit doesn’t get up at 5:30 in the morning, I do.” This is great for our national pride; we Americans do so love reasons to flaunt our successes around the world, after all.

—Boukpeti and Togo’s First Olympic Medal…EVER! Whitewater kayaking is one of those sports that we’d probably only watch if it was the only Olympic sport being broadcast (that just so happened to be the case earlier this afternoon for me), and almost no one would watch it outside the Olympic games. But if you are ever a fan of rooting for the underdogs—the Fresno States, George Masons, and Appalachian States of the world—then you have to root for Togo when they compete in the games (unless the US or your nation of heritage is involved; then they might be a close second). To see the look on Boukpeti’s face, the noise resounding through Beijing’s man-made whitewater course (a thing of beauty) in celebration of his achievement, and pleasure of a nation winning its first ever Olympic medal (bronze) is a rare thing that puts a smile on your face like few other sporting spectacles do. If they were there, I’m sure the rest of the Togoan athletes and ambassadors would have rushed to hug and congratulate their new national hero, a sentiment not lost in many of the lesser-known nations in the world. If only we could care so much about these things.

—The US Men’s Gymnastics Team Bronze Medal Admittedly, I did not stay up to watch the taped delay replay of their final heat/circuit/whatever the grouping of gymnastic events is called. But when I passed out with the television on around 4:00am Pacific time we were beating the heavily favored Chinese and Japanese squads, not to mention the entire rest of the field. Despite not hanging on to gold or even to silver, this collection of gymnasts managed to medal despite seemingly insurmountable odds: the loss of the Hamm brothers, who were without question the most talented gymnasts on Team USA; the inclusion of the two alternates who discovered just hourse before flying to Beijing that they were going to represent their country; and the looming competition with powerhouse China, who was on a mission to redeem themselves (much like the US Men’s Basketball “Redeem Team” ) for their collapse in Athens four years ago. But through team leadership and brave performances by each member, the US squad proved to the world that heart and desire can be just as potent as talent and experience. Bronze never looked so good hanging from an American uniform.

—The Chinese National Team’s Quest to Win the Medal Count I must tread carefully since to glorify another nation’s fight for the overall victory in medals over the US may be construed as unpatriotic. And so I qualify: I am rooting for the US to win the medal count, to have the most golds, silvers, and bronzes when all is said and done in Beijing so that we can once again assert our seat at the head of world athletic competition. But there is a potency and purpose to China’s determination and medal zeal this year unseen by the rest of the world. Sure, as the host country they must feel an added pressure to win, just as we did during the Atlanta and Los Angeles games. But this is China’s chance to prove to the world’s most powerful nations, also known as the Group of 8—the United States, the United Kingdom, Japan, Russia, France, Italy, Germany, and Canada—that they deserve to be respected, that their nation is rising rapidly in every aspect of power (economy, military, government, science, and athletics) and want to be recognized internationally as their equal. In this regard, we can’t imagine the pride the Chinese people must have at these Olympic games, but we can see it in the way they root for their teams (see the replay of Spain vs. China in basketball).

—The Redeem Team Probably the most talked-about Olympic athletes since their names were announced, and the American team with the most to prove outside of Michael Phelps and his 4×100m freestyle relay team. Nightmares of that bronze medal finish in Athens still haunt basketball fans who came to expect 60-point blowouts by the former “Dream Team” in the early ’90s. With international competition stronger than ever, Team USA has their work cut out for them, not just to regain the gold medal but to redeem themselves in the eyes of the world and their own nation as the best collection of professional basketball players in the world.

—Eric Shanteau Swimming Through Testicular Cancer Before Lance Armstrong, few would have thought it possible to compete against the world’s best athletes after battling cancer (and testicular cancer in particular for men). Now there is a US swimmer competing in the finals of the 200m breaststroke. Shanteau decided to postpone surgury until after his competitions in the Olympics so that he can try to medal for the US and himself. More importantly, he may represent the hopes of cancer patients everywhere, regardless of whether he finishes first or eighth. It’s not a great example to follow (ignoring the most glaring problem he has ever faced), but it certainly is inspirational. And if he comes back completely healthy from the surgery to compete in the 2012 games it will become all the more special and encouraging. So, think of this as a developing story over the next four years, having started at this year’s Olympics.

—Team USA Winning in Volleyball By now you should be aware of the tragedy that befell men’s volleyball coach Hugh McCutcheon and his family over the weekend. The death of his father-in-law and severe injury to his mother-in-law have forced him to withdraw indefinitely from coaching the team due to emotional strain on him and his family. But the team has gone on to win two of two in the group preliminaries. It would be a wonderful story (albeit in the face of tragedy) if the team can win a medal for their coach and his family. It is something to keep an eye on, to be sure.

There will no doubt be more stories of equal or greater importance as the games carry on in Beijing. Pay attention and you just might feel some of the magic and pride that others glean from this pinnacle of international competition. The games, afterall, represent many things to many peoples, but they give everyone around the world a sense of hope in one way or another.