Elementary school is the first level of school for American children.  It's called primary school in many other countries.
I guess it's the same across many other countries too
Primary education
Primary education also called an elementary education is typically the first stage of formal education, coming after preschool and before secondary education (The first two grades of primary school, Grades 1 and 2, are also part of early childhood education). Primary education usually takes place in a primary school or elementary school. In some countries, primary education is followed by middle school, an educational stage which exists in some countries, and takes place between primary school and high school. Primary Education in Australia consists of grades
and middle school are considered basic (obligatory) education. These are "Primaria" (6-12 years old), which is the Spanish equivalent of elementary/primary school, and "Secundaria" (12-16 years old), which would be a mixture of middle school and the first two years of High school in the United States/secondary school in England and many other countries.
Spain is working towards reforming vocational education and modernizing education to halt and reverse the rising unemployment rates.
Stages.