Let's start by marinating our beef. Cut your beef into small bite-sized pieces. Then place into a mixing bowl. Add Soy Sauce (1 teaspoon), Sesame Oil (1 teaspoon), Mirim (1 teaspoon) and Minced Garlic (1/2 teaspoon). Give it a good thorough mix and set it aside to marinate.
Cut your Shiitake Mushrooms into thin slices. Then julienne your piece of carrot and zucchini.
Now get a frying pan on medium heat. Place some oil in. Once it's hot, place your zucchini pieces in first. Season them with a few shakes of salt. Stir-around for 1 minute (or until they're soft). Take out and set aside.
Now place your carrot pieces into the pan. Season with a few shakes of salt. Stir-around for 1 minute (or until they're soft). Take out and set aside.
Now, add in the marinated beef and the mushrooms. Stir the two together until you get a slight browning on both. Season with few shakes of black pepper. Take out and set aside.
Next fill a pot with water. Put on a high heat and bring it up to boil. Once it starts boiling, place in your noodles. In the meanwhile, fill a small cup with some cold water. Foam will immediately start to rise in the pot - from the noodles. When it reaches the top, add a dash of cold water from your cup. The foam will settle back down... and rise back up. When it does, add another dash of cold water. Now, you've added water a total of TWO times. After the second time, wait for the foam to rise back up again. When it does, turn off the heat and immediately drain the pot. Rinse the noodles under cold water until they're cold. Then let them soak off excess water.
Now, take out another mixing bowl and mix: Soy Sauce (3 Tablespoons), Sugar (1/2 Tablespoon), Mirim (1 Tablespoon), Minced Garlic (1/2 Tablespoon), Sesame Oil (1 Tablespoon) and Sesame Seeds (1 Tablespoon).
Take this soy sauce mixture and mix about 1/3 of it into your noodles. Give it a good toss with your hands. Give it a taste and check seasoning - add more soy sauce mixture if you need.
Take out a nice bowl. Place your seasoned noodles in first. Then add the carrots, zucchini, mushroom & beef on top. Finally, garnish with a few chopped green onions. Bon Appetit!