Learning math in the mind of a child is learning to repeat sequences before they can make a connection to the way math works. The items are numbers and the sequence has to have some type of relative association before it can be committed to memory. For instance, children learn the procedures and concepts of math that come together as an aggregate whole that only makes sense over time and with consistent use.
Aggregate sociology is how society works in part and in relation to the whole. Children learn aggregate sociology more by actually socializing with others than by being taught to socialize. The learning process itself involves taking the items that are already known about society and compiling them into a whole so that children can learn what is and is not acceptable behavior. Aggregate learning means a child understands instinctively how to behave in certain social situations, even when the total behavior goes against what she really thinks or how she really feels about a matter.
The aggregation of science, for a child, is learning how to bring different components of the physical (seen) and semi- or quasi-physical (unseen) world together into a unified whole. For example, atoms cannot be seen, but are believed to be the smallest part of a living or non-living organism that forms its total existence. When children learn science, they take the collection of things known to be true and things that are only assumed and put them together to form an aggregate awareness and knowledge of life as it is known. These studies are called everything from "anatomy" and "biology" to "life and earth sciences." Science itself has as its very basis the learning of arithmetic and math.
Learning to aggregate, in English, is the same as with adult learning processes. A child will first learn the letters of the alphabet, then learn words and how to spell and pronounce them, then how to use them in a sentence phrase, a whole sentence and ultimately in a paragraph. The aggregate whole of the English learning process is learning to read, to understand and to think critically, as well as to write in terms of whole concepts and ideas.
Children are not passive receptacles who learn only in a school or classroom environment. Though it is known that hands-on learning is more functional and efficient than indirect instruction, both types of learning environments -- by notes and by experience -- can be learned inside and outside of institutions. Aggregate knowledge is part of the homeschooling environment, because very often every subject a child learns is taught by one teacher. The total world of learning is centered around the child, who then learns about the world and its behaviors by combining everything that he learns in his isolated environment. In this sense, the exposure is aggregated, more so than his individual learning ability.
Once a child learns to aggregate various and sequential kinds of information, she has a total overall understanding of not only of how the world works, but the methods, means, structures, and procedures by which the various world systems operate and function.