This article considers the problem of a formal representation and iden
tification of an individual's level of knowledge. Knowledge is conside
red as the systematic structurization of information received in perce
ption. The computer implemented methodology reported here includes Rep
resentation of the initial information (data) in the form of interlink
ed information structures producing a systematic hierarchical dynamic
network. Relative evaluations of the level of each individual's knowle
dge in terms of their semantic network's macrosystemic informational c
omplexity (MC). The results of an empirical study utilizing this metho
dology is reported. 331 high school students from eleven classrooms co
mpleted a pair-wise similarity rating task of ten mathematics terms al
ong with a standardized math achievement test. The information contain
ed in the similarity data was given an algorithmic representation, whi
ch in turn yielded a minimal spectrum of the information nodes making
up a systemic representation in the form of a hierarchical network. Th
e prospects of tailoring this methodology such that a student could re
ceive graphical feedback and numerical evaluations of their level of k
nowledge is discussed. This approach clearly has applications in the a
reas of computer-based learning and intelligent computer-assisted inst
ruction. The novelty of the solutions to the problems addressed by thi
s work include A direct informational measure of the generation of kno
wledge. Computer-based restoration of the logical connections made in
the process of reflection and accommodation (which introduces the poss
ibility to control and monitor this process). A modern mathematical me
thod, based on the identification of an informational law for concrete
objects, which can represent the latent bound information harbored in
systems of dynamic structure. An objective evaluation of the logical
connections within a hierarchical network in terms of MC. This approac
h introduces a new research tool to cognitive science, cognitive psych
ology, educational psychology, and other related fields of study.