In situations like this, where one eye needs a much stronger correction than the other, contact lenses are a better eyewear solution. With glasses, the unequal lens powers cause an unequal magnification effect, so the two eyes form images in the brain that are different in size. This can cause discomfort (and even dizziness and nausea) because the brain may not be able to blend the two separate images into a single, three-dimensional one. And, of course, the glasses are unattractive because one lens is much thicker than the other.
Even if your child is quite young, she can probably handle contact lens wear. Contact lenses of unequal power don’t cause the differences in image magnification that glasses do. Continuous wear lenses (worn day and night for up to 30 days, then discarded) or one-day disposable contact lenses may be good options.
Keep in mind that amblyopia is a condition where one eye doesn’t see as well as the other, even with the best possible correction lens in place. Simply wearing the contacts may not improve the vision in her weak eye. Usually a program of vision therapy also will be needed.