Author Paul Greenberg was standing in his Manhattan kitchen, cleaver in hand. He had already fluidly removed two fillets from a gleaming red snapper, shipped overnight from the Gulf of Mexico. Now it was time to take off the head, which he would use to make a spicy Korean soup. “This,” he said with a laugh, “is where it gets gnarly.” Then with a swift chop he severed the fish’s head from its body.

It would have been easier to buy a few fillets or, for this dish, to ask a fishmonger for the head. (Sometimes they’ll give it to you free.) But Greenberg, best-selling author of “Four Fish: The Future of the Last Wild Food,” wanted to make use of a whole snapper in service of a larger point: Americans need to eat more American seafood.

It’s a point he makes compellingly clear in his new book, “American Catch: The Fight for our Local Seafood” (Penguin Press, June 2014). The United States controls more ocean than any other country on Earth. Yet despite our 2.8 billion acres of ocean, 94,000 miles of coastline and 3.5 million miles of rivers, 91 percent of the seafood Americans eat is imported.

It gets fishier, Greenberg says. Much of what we import is farmed; shrimp and tilapia top the list. Meanwhile, one-third of what we catch is sent overseas. “There are, of course, subtleties to the ridiculous international fish swap we’re engaged in here in America, but after three years of pounding my head against the data, what I realized is that we’re basically low-grading our seafood supply,” Greenberg said. “We’re sending the good wild American stuff that makes you heart-healthy and smart to Asia and importing all this farmed stuff from Asia that doesn’t really do too much for you from a health perspective.”

Moreover, American fisheries are some of the best managed in the world. After changes to fishery law in 2006, more U.S. fisheries than ever are making efforts to end overfishing, limit bycatch and more, said Margaret Spring, vice president of conservation and science at the Monterey Bay Aquarium. Now, just 3 percent of them carry the red (“avoid”) label in the aquarium’s Seafood Watch program. “The United States has emerged as a global leader,” she said in an e-mail.

WHY WE SHY AWAY

There are many reasons Americans don’t cook more seafood, domestic or imported. One of the biggest is that we are scared of fish. According to Greenberg’s sources in the seafood industry, surveys show that Americans tend to have three complaints about fish: “One, I don’t want to touch it. Two, I don’t know how to cook it. And three, I don’t want it smelling up my kitchen,” he said.

That’s why so much of the fish America imports, such as tilapia, is odorless and all but tasteless: “a fried-dough delivery system,” Greenberg calls it. It’s also a lot cheaper. Wild boneless red snapper fillets, for example, cost $20 to $30 a pound. Imported tilapia, by comparison, maxes out at $10 a pound.

And so, dressed in shorts and a well-worn apron, Greenberg, 46, set out to show me cooking fish need not be scary or super expensive. He started with a whole fish, which cut the cost considerably; a whole wild snapper at Whole Foods sells for $11.99 a pound. By using almost everything, Greenberg would make three meals for four from a single 5-pound fish, bringing the cost of the snapper to less than $5 a serving. For the recipes, he chose a trio of Asian dishes from Vietnam, Korea and China, countries that buy and eat much of America’s wild fish.

Which brings us back to the fish head.

In America, we usually throw it away. Indeed, according to the Food and Agriculture Organization of the United Nations, Americans waste about 30 percent of the seafood they buy. But there is plenty of good meat in and around the head.

Using a small paring knife and his fingers, Greenberg removed chunks of flesh from what’s known as the collar, or throat, and, after a few minutes in simmering water, the snapper’s cheeks as well. He also strummed his fingers along the bones (also called a rack) to remove any shreds of meat left behind after the fillets were removed. All told, he was able to salvage six ounces of meat, plenty for his Korean fish head soup.

“I think of it as an honor to the fish,” Greenberg says. “If you are going to kill it, you should eat it all.”

The whole thing – once I got past the yuck factor – was a cinch. Into a large pot went the fish head and the rack and enough water to cover. After it had simmered for 10 minutes, Greenberg strained the liquid and added his vegetables and two kinds of Korean chilies, a powder called gochukaru and the spicy paste gochujang, made from chilies and fermented soybeans.

Just before the stew came off the stove, Greenberg added the reserved fish meat. The result was a light but hearty broth that was magically refreshing and satisfying at the same time.

USE WHATEVER YOU LIKE

That left us with two fillets. With the first, Greenberg decided to make one of his favorite Vietnamese recipes, Cha Ca Thang Long, chunks of fried fish wrapped in lettuce with an array of sweet and spicy condiments. It was a bit of an odd choice for a super-fresh fillet, which you might think to steam or serve as seviche. But Greenberg had his reasons. “If you’re new to filleting fish, you may not end up with a perfect fillet,” he said.

That is a plus, but it’s hardly the only one. The dish is fresh (thanks, dill and mint), crunchy (ditto, peanuts), bright, sweet – and plenty spicy, if that’s how you like it. But Greenberg also loves the lettuce wraps because this is what he calls a “stone soup” recipe. You can use whatever you like in the dish (or whatever you have on hand): sesame seeds, basil, cucumber, even tomatoes. “That’s the nice thing about being American,” he says. “There aren’t a lot of rules. You can do what you want.”

For the second fillet, Greenberg wanted a recipe with strong flavors that could mask any fishiness after a few days in the fridge. Just the word “fishy” is enough to make me blanch. If a fish smells, shouldn’t you throw it away? “A little fishiness is normal and fine” if a fish isn’t right out of the water, says Greenberg. “That’s why every cuisine has a way of dealing with it.”

For the Chinese, two go-tos are ginger and vinegar. They combined beautifully with mushrooms and ground pork in a classic Beijing dish that Greenberg describes as what perfect Chinese takeout would taste like if takeout were perfect. He cut the fish into chunks, marinated them with ginger, sugar, sherry and egg, then coated them in cornstarch. Then he fried them in a wok until they were a gorgeous golden brown. Next, he stir-fried the pork and mushrooms with more ginger, garlic and scallions. From start to finish, the whole dish took 30 minutes.

Greenberg had at least one convert: me. Working with a whole fish made culinary and economic sense. But, I asked him, couldn’t I just buy a whole fish and ask the fishmonger to fillet it (at no extra charge) and give me the head, even the rack?

You could, he admitted. But it was clear Greenberg thought that would ruin some of the fun. “As one fisherman told me recently, ‘Americans aren’t hip to fish,’ ” he said. “We should be.”

Hanoi-Style Fried Fish With Turmeric and Dill

4 servings

Serve the fried fish atop the dilled vermicelli or wrapped in lettuce leaves, along with pickled carrots and a dipping sauce called nuoc cham.

Adapted from “The Little Saigon Cookbook: Vietnamese Cuisine and Culture in Southern California’s Little Saigon,” by Ann Le.

FOR THE FISH

11/2 pounds firm, skinned white-fleshed fish fillets, such as monkfish, red snapper or striped bass

11/2 teaspoons sea salt or kosher salt

3 tablespoons fish sauce

1 tablespoon peeled, minced fresh ginger root

2 scallions, thinly sliced

1 tablespoon sugar

1 teaspoon freshly ground black pepper

1 tablespoon ground turmeric

11/2 cups rice flour

Peanut oil, for frying

3 to 4 ounces dried rice vermicelli noodles

1/3 cup fresh dill, chopped

FOR SERVING

1/4 cup low-sodium soy sauce (optional)

1/3 cup nuoc cham

1 lime, cut into quarters

Pickled carrots

12 large lettuce leaves

1 small bunch mint leaves

1 small bunch cilantro

1/2 cup unsalted, dry-roasted peanuts

For the fish: Cut the fish fillets into 2-inch chunks. Sprinkle the pieces all over with the salt; let them sit at room temperature for 15 minutes.

Meanwhile, whisk together the fish sauce, ginger, scallions, sugar and pepper in a small bowl until the sugar has dissolved. Rub the mixture over the fish pieces so they are thoroughly coated, then place them on a plate. Sprinkle them with the turmeric, cover and refrigerate for 20 minutes.

Line a baking sheet with several layers of paper towels, then seat an oven-safe wire rack on top; place on the middle oven rack and preheat to 200 degrees.

Place the rice flour in a shallow bowl. Lightly coat each piece of marinated fish in the flour, shaking off any excess.

Pour enough oil into a wok to create a depth of at least an inch (1 to 2 cups; the oil will be shallower if you use a large skillet instead). Heat over medium-high heat until the oil is almost smoking.

Working in batches as needed (do not overcrowd the pan), add the fish and cook for 4 to 8 minutes (depending on the thickness of the pieces), using tongs to move and turn the fish as needed so that it becomes evenly cooked and golden brown. Use tongs to transfer the cooked fish to the wire rack in the oven.

Boil a kettle of water. Place the vermicelli in a heatproof bowl. Pour the just-boiled water over the noodles; let them sit according to the package directions. Drain, then toss with the chopped dill.

When ready to serve, arrange the dilled vermicelli on a platter along with the pieces of warm fried fish; soy sauce, if using, and/or nuoc cham for dipping; lime wedges; pickled carrots; lettuce; mint and cilantro. Garnish with the peanuts.

Korean Spicy Fish Stew

4 servings

This is Korean comfort food: a hearty yet delicate fish soup. Ingredient-wise, the daikon radish, zucchini and chili peppers are a must. But you can add whatever other vegetables you like, including soybean sprouts, pumpkin, mushrooms and watercress, as well as other shellfish, such as oysters and clams.

The soup is best served the same day it’s made.

Adapted by author Paul Greenberg from a recipe by About.com Korean food expert Naomi Imatome-Yun.

1 large fish head (about 11/2 pounds)

1 fish rack

8 cups water

1/2 block (7 ounces) firm tofu

8 ounces daikon radish, peeled and cut into 1-inch pieces that are 1/8-inch thick

1/2 zucchini, halved lengthwise, then cut into 1/4-inch slices

1 small red chili pepper, seeded if desired, then cut thinly on the bias

1 small green chili pepper, seeded if desired, then cut thinly on the bias

1 sweet onion, cut into strips

2 scallions, cut into 1-inch pieces

2 cloves garlic, crushed and chopped

1 tablespoon regular or low-sodium soy sauce

1 tablespoon gochugaru (Korean crushed red chili pepper powder)

3 tablespoons gochujang (Korean chili pepper paste)

4 ounces edible chrysanthemum leaves (optional)

Kosher or sea salt

Freshly ground black pepper

3 tablespoons chopped fresh cilantro, for garnish

Rinse the fish head and pat it dry.

Use your fingers and/or a small paring knife to extract any flesh from fish head and the collar.

If you are also using a fish rack, you can extract a significant amount of flesh from it by holding one end and strumming your fingers along the bones. Reserve all of the flesh in a bowl.

Place the picked-over fish head and rack in a stockpot, then add the water. Bring to a boil over medium-high heat; cook for 10 minutes, turning the head over once during that time. (If you like, you can use a spoon to remove the fish cheeks about halfway through cooking. Add them to the flesh reserved from the head and collar.)

Meanwhile, wrap the tofu in paper towels and use a heavy plate to weight it (to help extract any liquid).

Strain the cooking liquid through a fine-mesh strainer into a separate pot; discard the bones. Bring to a boil over medium-high heat, then add the radish, zucchini, chili peppers, sweet onion, scallions, garlic, soy sauce, gochukaru and gojuchang; reduce the heat to medium and cook for 6 or 7 minutes, until the vegetables are tender.

Reduce the heat to medium-low. Stir in the reserved fish flesh; cook for about 2 minutes or until it is tender and opaque.

Unweight/unwrap the tofu and cut it into large cubes. Add them and the edible chrysanthemum, if using, to the pot; cook for 2 to 3 minutes without stirring.

Season lightly with salt and pepper.

Divide among individual bowls. Garnish each portion with the cilantro. Serve hot.