Creating mince and tatties is a straightforward process. Follow these step-by-step instructions to prepare this classic dish:

For the Mince:

1. Prepare the Ingredients: Begin by chopping the onion, dicing the carrots, and mincing the garlic. Set aside.
2. Sauté the Vegetables: In a large skillet or saucepan, heat the vegetable oil over medium heat. Add the chopped onion and cook until it becomes translucent, about 3-4 minutes. Add the garlic and continue to cook for another minute.
3. Brown the Minced Beef: Add the minced beef to the skillet, breaking it apart with a wooden spoon. Cook until browned, ensuring there are no pink bits remaining. This should take approximately 5-7 minutes.
4. Add Carrots and Seasonings: Stir in the diced carrots, tomato paste, Worcestershire sauce, dried thyme, and rosemary. Season with salt and pepper to taste.
5. Incorporate the Flour: Sprinkle the flour over the mixture and stir well to combine. This will help thicken the sauce.
6. Pour in the Beef Stock: Gradually add the beef stock, stirring continuously to prevent any lumps. Bring the mixture to a simmer.
7. Simmer to Perfection: Cover the skillet and let the mince simmer on low heat for about 30 minutes, stirring occasionally. Allow the flavors to meld and the sauce to thicken.

For the Tatties:

8. Boil the Potatoes: Place the peeled and quartered potatoes into a large pot of salted water. Bring to a boil and cook until tender, about 15-20 minutes.
9. Drain and Mash: Drain the cooked potatoes and return them to the pot. Add the butter and milk, then mash until smooth and fluffy. Season with salt to taste.
10. Serve and Enjoy: Plate the creamy tatties alongside the savory mince, and savor the comforting flavors of this traditional Scottish dish.