Final answer:
The Pre-K Education movement is a controversial movement that supports preschool programs for young children.
Step-by-step explanation:
The controversial movement that publicly supports preschool programs for three and four-year-old children is called the Pre-K Education movement. This movement advocates for the implementation and funding of high-quality preschool programs as a means to promote early childhood education and development. It is based on the belief that early intervention in a child's education can have long-term benefits.