You don't necessarily have to trash the plant just yet. During the winter months, especially if you live in a mountainous climate, the air in your home is very dry, which can wreak havoc on your house plants. Check the soil frequently to make sure it's good and moist. If you're too busy to remember to do this daily, get yourself a humidifier, plug it in and go. This should take care of the problem.
Plants usually thrive in moist environments.
If you notice any tooth marks in the leaves of your browning house plants, it could be that your plant's browning is a reaction to Fido and his midafternoon cravings. Your plant is experiencing an adverse reaction to physical contact. It's time to move your house plant to a higher level in your home, out of reach of your curious pets. Transplant it, water it occasionally, and see what happens. While there are no guarantees, the odds might be in your favor.