The Theory and Practice about
Methodology Explore about Knowledge management
of Complex System
School of Education
1. The precise meaning of LOGO.
2. The Broader Significance of this
3. Application for Educaton Review
4. Methodology Explore of Knowledge
management about complex system
As the knowledge
based enterprises increase rapidly,
with larger proportion in modern enterprises, knowledge
management emerged, developed rapidly too.
In terms of education, the essence of education is the
production, transmission, exchange, and management of
knowledge and information. Knowledge management for
education are equally important.
In recent years, talk more and more
about “ apply education “
to promote education modernization.”
Why informationalization of education are able
to promote the modernization of education, why
to promote education modernization must use
Either absorb the knowledge, the fruit of
enterprise knowledge management, or
knowledge management work in education
together to promote innovation further
important base of all
Then what is “
? In simple
word, “informationalize” is methodology, the
methodology of the information age.
When I contact with Guizhou Teacher Fu at the key project
“LOGO promote innovation of mathematics education” and
the study in the experiment that bring programming learning
and mathematics learning in combination, I feel LOGO is
not only a distinctive programming language, but is an
important methodology with modern characteristics . LOGO
has closely cross
connection with the extensive application
of the concept of information and informationalize. And
show more clearly the meaning as mothodology.
1. The exact meaning of LOGO.(1)
logic, or structure (model, schema,
education, epistemology, in
LOGO come from A
the structure of things or logic,
We here LOGO is refer to the extension of this
more emphasize analysis, synthesis and
construction, all are components of
The exact meaning of LOGO(2)
study into basic component
elements), base on these components
into different levels of
(math terminology) or
From the very simple component can be gradually
very complex information world”.
From the basic components can be integrated
continuously, which is the right meaning of concept
The exact meaning of LOGO(3)
To describe and explain further:
The basic components of the things (also called )
Various objects and various relationship between the
components compose to be different structure.
The structure can be regarded as objects
again to form multi
level structure .
attributes and the
values. The structure can have their
own attributes and to be distinguished each.
basic elements, or may decomposed again
synthesis to be
the new Object
The concept map, and the concept of derivative map
are similiar to LOGO idea.
General logic Mathematics
The concept of
The structure of number
A bunch of operation
Procedures is a special and complex operation.
Procedures is an expression of algorithm
These are dynamic, verb
So, we see “logo idea come from the long
term development of Mathematics.
from basic components
Solve the problem.
Composition by the
algorithms or procedures
is also problem solving
The broader significance of
LOGO concept development accomplished with
mathematics in the long history of progressive
This is the pre
computer age, but
cause the birth of computer.
We see from the macro
in the history
component of object, base on these component
that a large quantity of facts can be integrated or
is exactly the spirit of axiomatic .
The history of
Egypt empirical geometry
to Euclid axiomatic
to a deeper level of math
numeric and graphic combination
Combine geometry and Arab arithmetic, algebra,
Italy equation make
Then found an understanding of the
. When decomposition
to be more detailed, to be more basic element, the
generate ability will be more powerful.
The history of
the decomposition and integration of
this have been the base of all
mathematic knowledge representation.
Model of algorithm
All mathematics knowledge be analyse to the most
primitive atomic constituents, or
the birth of the computer.
These can be seen as
The history of
Achieve the most basical elements decomposition,
huge capacity of description and generation grow
After that a
Recall the history of programming, b
ased on the
,from compiled language, the formula language,
level language, to mathematical language
and the procedure language, functional language
productive language, object
and the LOGO language, Mathematica language.
So, programming language has enormous capacity,
seem have the ability to turn
all the world into
(Of course, this is only ideal, many difficulties
ought to be overcome)
Applied Mathematics with Computer have
Not only that, by study the important concept
“ information”, gradually formed many kinds of
“information science”, and then to explore “the
unite information science” and that maybe
approach the concept,” the methodology of the
A few simple examples below to show
Material world is composed from
elementary particles, electronics, neutrons,
protons, atoms, molecules and
supramolecular many levels.
Then from supramolecular, protein to
cells, again, to the phenomenon of life; then
growup of biological populations by genetic
And then human society composed from
senior intelligence life, have the brain to
think and communication ability by language.
A few simple examples below to show LOGO
Putonghua voice can be decomposed into consonant,
vowel, and tone various components and then base on
these component could generate all the voice.
Language is composed from character, word, phrase,
sentence, paragraph, chapter different levels of
Geometer's Sketchpad can be seen as geometric shapes
add graphics transformation that should maintain graphic
structure, and function concept with correspondence
notion, conbine all these conponents to form a kind of
advanced knowledge representation, that is,
A few simple examples below to show LOGO
Image thinking can be seen as the analysis
form the procedure
remote transmission may go through analysis to
all the basic elements of smell out,then coding. So long
as the two side has the common agreement of basic
ingredients, and build a generator, it can transfer only by
code, and in remote areas reorganize out the odor.
Ancient Chinese book of Change (Yi): Tai
Chi divided to
twin, twin to Quartet, Quartet to Octet
that show the
universe is constantly decompose to element, symbols
eight diagram is code, Gua like the phase. Combine code
and Gua to further combinations, may gain all things. So
reflects as the early LOGO
analysis methodology ought to
distinguish between "code" and represention of
"elements", or distinguish between "digit" and
"phase." these are linked, but these are differences.
The "digit" is abstract, and "phase" can be very
The above examples show some
original logic of things
the concept in the brain
(the concept map), and some is dynamic methodology
motivate logical extension and innovation (thinking),
and then be the
Why are we here with the emphasize on
the verb meaning of this methodology?
The dynamic of this methodology,
stressed the analysis and synthesis, operation,
algorithm and led
to the formation of the
process, development and motivation
more things .
This has led philosophy
the progress of
then the concept of
the virtual world.
Applications for the field of
3.1 Model of thinking.
Building block .
Good idea for entrance education of
information technology in early childhood
Through the combination of elements, the value self
that is, model of problem
Solving. But the goal is not clear, and
the element couldn’t divide again.
= Data structure + Algorithm
Also a kind of
building block ,
but the component
could be divided again. More opportunity to innovation.
3.2 Innovation mechanism.
Generate and test = Problem
Free combination of fixed elements
generate many valuable model, but the model
to go through testing, whether
meet predetermined goal or not.
Through increase the basic component,
further decomposition into more
detail element, and reorganization
become more open.
organization is the most powerful
3.3 Internalize and externalize
Originally from the outside world
Through innovative thinking
into the concept Logic in the brain.
Again, to design, to solve problem, transform
the dominant form of knowledge in the brain ,
into Artifacts (man
made products) logic.
3.4 Image Expression
People with visual organ can accept image
information, the efficiency is very high, the
graphics are static structure. However, the lack
of human organ to free express of image. To
draw the graphic
imaginings, has to use
symbols, word, language, these basic
So, scenes feel is not enough.
logic thinking, the function of
right and left brain
are complementary, and
are indispensable each.
Hidden image need to use language to
Learning by accept transfer
the transfer of static structure.
As procedures in the programming, if it is usually
used, give the structure a name or symbol , can also
give procedures names. When necessary, calling with
this name, no need programming again.
Concept possese a clear and complex semantics.
When human think, the concept can be used to
reduce many complexity,
In interpersonal contacts, if common understanding of the
concept exist , human could use high level concept to talk
about complicated matters, and still be understood each
(At the Internet age, the development of the
World Wide Web
give the structurize information (procedure) a
, when transfer, only
structure of labels need, if
the two sides have common agreement or common
don’t need convey too much code, both
side could gain a lot of information and understanding. 
Learning by accept transfer
Analogy to the usually language exchange(conversation),
semantic represent go through its lower
to construct .
In the process of teaching,
use terms to transfer (even at close range)information
between different members (teachers and students,
students and students), if they have common definition
of words or common understand, then use words can
do very high
level exchange of complex ideas, all can be
understand each other.
the benefits of acceptance learning that
create a common understanding of terms between
teacher and students, and can be very high
efficiency to teach high
Learning by Exploration
The decomposition process.
But if the two sides haven’t common definition of the
term, (especially knowledge asymmetry between
teachers and students ) it need return to the definition of
terms, starting communication from the bottom. The
question is, the terms understanding, can’t be easily
transmitted by abstract term. Students also need
personal experience and common experience. Both
teachers and students create a common basis of
understanding of the term. This is simply acceptance
learning not so efficient and requires “learning by doing”
directly by hands,
or personal experience
The most effective way to communicate is to change
“ listen and speak” into the personal
Include Interactive, understanding,
expression and recombination.
Dialogue between 2 persons:
Part A describe
Part B response (here including analysis,
understanding, problem solving, expression) is a complex
knowledge processing procedure also.
Particularly complex issue which needs to understand from
several points of view. Personal perspective is limited, often
subject understanding, and the peer groups discussion and
questioned, often from different angles, from different points of
view , and gain a more in
depth understanding from the
comparison of groups discussion. Here, groups discussion
the same opinion or different views on the
, these all involves
A lot of topic
The progress of
Learning Innovation model
Learning platform, cognitive tools
Learning materials (static), but learning is
process. and exercise is important in learning.
In the static situation to ask question
(thinking, judgment) to facilitate learning, or for
A lot of topic
learning methods, resulting in new teaching
The knowledge representation and
The professional development platform of
teachers provides teachers groups
discussion garden spac
Regional motivate advance of technical
Combining the enterprise, school, institute in
community level Learning
Management include different
complex knowledge processing.
Simple case : Conponent, structure,
and problem solving,
: interaction, understanding,
All involve complex system.
4. Methodology of knowledge
The rapid development of social and
economic process, on the Internet and its
services are becoming increasingly important.
These services require knowledge
representation and knowledge management in
new perspective under the conditions of highly
This can also be extended to
is still work or not?
New Problem that need to face
In a complex world, knowledge representation of
information systems that outside the common basic
we have to do action and
conditions incomplete and fuzzy
unconscious, implicit knowledge
related to specific scenes and
high degree of personalization.
It is not
express, but is
personality in common, preferences framework.
4.1. Three levels of
There are three levels of informationalize:
The concept levels of informationalize.
The technical level of informationalize.
There are another anotherlevels of socio
economic information system.
Informationalize is not just referring to the
technical level, with another two
level around, the
meaning and value of that information
methodology is relatively easy to understand.
The concept levels of
Using information approach to process
problem of education (or broader) areas:
that include all the knowledge and
teaching (maybe social ) activities . Base on
the analysis and synthesis method to
construct information model and rationalize,
For example, first in the concept level : do
information analysis to the knowledge and
teaching activities in the classroom, found :
Easy to obtain class feedback Information is
the important ways of optimize
4.1.2.The technical level of
The key, relatively simple, and easy to
implement part of the model, develop
technology or hardware to achieve.
However, many complex parts, that
information technology difficult to achieve,
still remain excute by human.
That is, ought emphasize the integration of
people and technology , or “man
In the former case, training teachers to control
technology, do instructional design is very
4.2 To free express scene, image, still need natural
language, application of the `basic vocabulary
and grammatical elements to construct
People with visual organ can accept image information
with high efficiency. However, human are lack of the
organ of free image expression.
To draw the graphic imaginings, need to use symbols,
character, language, these basic components to build
expression creatively .
So, only scenes feel is not enough.
logic thinking , right and left brain
and both are
Hidden image need express by language.
analysis and synthesis methodology to
distinguish between "coding" and
represention of the "elements", or
distinguish between “digit" and "phase."
They are linked, but they are different.
The “digit" is
abstract, and "phase" can be very concrect.
Symbolic code point to different content:
phase, imagery, semantic representation,
mime or unspeakable knowledge.
The concept levels of informationalize, including
the social dimension of informationalize, whether
would result of tech level of informationalize?
The difference between man and machine interaction,
the distinction between computer interaction.
Machine and machine interaction is formalized, or
symbolic between text and text, symbols and symbol.
People with the computer turn mime knowledge to
be symbolic and speakable. Symbolic code point to
different content, semantic representation,
imaginery , mime knowledge that unspeakable.
If the reference is the same, we can understand each
other, or it may be similar, and come to the
approximate or fuzzy understanding.
formalize symbolic Non
text version 1___text version 2
Complicated interactive must do by the
people. Machines is difficult to achieve.
But machines can still go ahead. As
multimedia, simulation, postures and
It may never be completed.
In Summery, the mothodology work well in the
complex case, only the complexity is highly