Noema (plural: noemata) is Greek for the meaning of something. A schematic is a diagram that represents the elements of a System using abstract graphic Symbols rather than realistic pictures It is the mental equivalent of a schema or schematic of something. A schema (pl schemata) in Psychology and Cognitive science, is a mental structure that represents some aspect of the world A schematic is a diagram that represents the elements of a System using abstract graphic Symbols rather than realistic pictures It is the "representation" of an experience of a meaning based system through its own self-referential process. It could also be considered as the projection of one's own experience onto oneself.
Noema is employed in phenomenology to refer to the terminus of an intention as given for consciousness. Consciousness has been defined loosely as a constellation of attributes of Mind such as Subjectivity, Self-awareness, Sentience, and the The mind breaks down external experiences into what we know as external reality. Noesis is the "thinking" process in such a manner that detects the meaning of the object itself (noema). Noesis is a Greek word meaning "the ability to sense or know something immediately" It is the intentional thinking act which is directed upon the noema. In contrast to noesis (ability to sense or know something immediately), a noema is the object itself of perception or thought. 
Something noetic has to do with something involving intellectual activity (from the Greek nous, "mind"). Noetic theory (from Greek word noûs) is a branch of metaphysical Philosophy concerned with the study of nature the operation of Intellect Nous (ˈnuːs Greek: or) is a philosophical term for Mind or Intellect. One can speak of the noetic faculty as the "intellect proper. " Another Greek word for mind is novhma (noema), which translates as mental thought or perception: that which thinks of an idea. An idea is a form (such as a Thought) formed by Consciousness (including Mind) through the Process of ideation.
There is a noema corresponding to every act of memory, expectation, and representation. Noema is in the OED, which has shown its use for more than three centuries. The Oxford English Dictionary ( OED) published by the Oxford University Press (OUP is a comprehensive Dictionary of the English It first was used in English in the field of rhetoric to denote "a figure of speech whereby something stated obscurely is nevertheless intended to be understood or worked out. Rhetoric has had many definitions no simple definition can do it justice " In other words, a noema in rhetoric is obscure speech or speech that only yields meaning upon detailed reflection.
Peacham's 1577 Garden of Eloquence  used it this way,
"Noema, when we doe signify some thing so privily that the hearers must be fayne to seeke out the meaning by long consideration. "