The researchers found that restricting the cookies had a profound effect: consumption more than tripled compared with when the cookies were served on plates.

Other studies show that children whose food is highly restricted at home are far more likely to binge when they have access to forbidden foods.

The lesson for parents? Don’t bring foods that you feel the need to restrict into the house. Instead, buy healthful snacks and give children free access to the food cabinets.

Dieting in front of your children Kids are tuned into their parents’ eating preferences and are far more likely to try foods if they see their mother or father eating them. A Rutgers study of parent and child food preferences found that preschoolers tended to like or reject the same fruits and vegetables their parents liked or didn’t like. And other research has shown girls are more likely to be picky eaters if their mothers don’t like vegetables.

Given this powerful effect, parents who are trying to lose weight should be aware of how their dieting habits can influence a child’s perceptions about food and healthful eating. In one study of 5-year-old girls, one child noted that dieting involved drinking chocolate milkshakes  her mother was using Slim-Fast drinks. Another child said dieting meant “you fix food but you don’t eat it.”

A 2005 report in the journal Health Psychology found that mothers who were preoccupied with their weight and eating were more likely to restrict foods for their daughters or encourage them to lose weight. Daughters of dieters were also more likely to try diets as well. The problem is, restrictive diets don’t work for most people and often lead to binge eating and weight gain. By exposing young children to erratic dieting habits, parents may be putting them at risk for eating disorders or a lifetime of chronic dieting. “Most mothers don’t think their kids are soaking up this information, but they are,” Dr. Birch said. “They’re teaching it to their daughters even though it doesn’t work for them.”

Serving boring vegetables Calorie-counting parents often serve plain steamed vegetables, so it’s no wonder children are reluctant to eat them. Nutritionists say parents shouldn’t be afraid to dress up the vegetables. Adding a little butter, ranch dressing, cheese sauce or brown sugar to a vegetable dish can significantly improve its kid appeal. And adding a little fat to vegetables helps unlock their fat-soluble nutrients. The few extra calories you’re adding are a worthwhile tradeoff for the nutritional boost and the chance to introduce a child to a vegetable.