mother-child study abroad
Refers to a situation where a mother moves abroad with her child for the child's education, while the father remains in Japan to work and support them financially. A modern social phenomenon term.
More families are choosing mother-child study abroad arrangements.
She decided on a mother-child study abroad for her son's English education.
留学 is general study abroad; 母子留学 specifies the mother-child arrangement with the father staying behind.
教育移住 is a broader term for relocating for a child's education, not necessarily implying the father stays in Japan.
Compound of 母子 (mother and child) and 留学 (study abroad). A relatively recent term reflecting a specific social pattern in Japan.