The term "grazing" refers to decreasing the size of meals while increasing frequency.  This approach has been suggested by weight loss "experts" as a logical approach to keep the body's blood sugar at steady levels throughout the day.  

However, such a diet can be harmful.

Several studies have shown that snacking between meals increases the risk of developing colon cancer.

The healthiest approach to stable blood-sugar levels is to avoid highly refined foods and to increase your intake of dietary fiber.