Children have the highest self-esteem when: they are emotionally supported for their efforts. they perform competently on a task they care about. they are extrinsically rewarded by role models. peers acknowledge their achievements.

The answer is when they perform completely a task they care about. It is because children has a sense of accomplishment when they finish a task, making their self esteem high as they feel that they have the confidence of doing what they are doing and showing their abilities or what they are capable of.