Both Froebels Kindergarten and Montessori's Children's House place importance on educating children aged 3 to 7 years old and view the child as the central focus of education. They emphasize allowing children to naturally develop and express themselves through hands-on learning experiences like sensory activities. However, they differ in their philosophical foundations, with Froebels being more idealistic while Montessori has a scientific basis, and their teaching methods, such as Montessori using practical self-correcting apparatus instead of stories and group activities.