Experience suggests that
the institutions alone will
not address the concerns, because those involved have long ago
accommodated the status quo. No matter the intent, the concerns
are
so hard to acknowledge that faculty and administration evolve to a
necessary level of comfort. To address the issue of entrenchment,
a commercial business infrastructure, Second School Community Centers
are designed to be located near college and university campuses.
This business will focus on enhancing the comprehension of individual
students so that they are successful in the freshman mathematics
classes, not by tutoring but through a psychological process. The
business process will provide a supporting role to colleges by
supplying demand side learning materials and research on methodology.
*<*>
Demand side theory is different in all respects from supply side
theory. <*>
The best way to get an handle on what the demand side theory implies is
by contemplating
the Socratic
Method (see also *<*>)
and comparing this method to the typical classroom
pedagogy.
The "demand side theory" takes a step beyond the
typical interpretation of the Socratic method and shifts responsibility
for instruction from the professor to the student. The facilities
optimal to support this shift is discussed below in the section titled,
"support structure". <*>
The student is
guided in developing an individualized capability and in assuming
responsibility for knowing what he or she knows and does not
know. This is accomplished using a topic mapping activity
described in Lifting
Strategy. The blank paper test is then an individualized
composition of topics prepared for presentation to the student.
Let C = { topics in
the standard curriculum in Chapter }
P = { notation, theory, application }
Each topic may be exposited using proper notation, some description of
theory and or examples, including applications of the topic.
Ideal support, demand
verses supply side learning
Most colleges and universities have adopted a pure supply side approach
in supporting freshman instruction in mathematics, often because no
viable alternative has been demonstrated. Our current effort is
dedicated to making viable the practices of a demand side theory.
The challenges are great. Students who are not comfortable
with either the pedagogy or the curriculum. In many under served
colleges the standard tools may not be in place. It is perhaps
unbelievable to realize that these tools include
well constituted class enrollments, chalkboards or white boards, air
conditioning, and support from the administration. Professors are
often under paid and classrooms overcrowded. Faculty are treated
as employees or worse. In many colleges the faculty endure almost slave
plantation conditions with very authoritarian administration.
These conditions degrade the quality of
learning.
In theory, the standard approach to freshman mathematics is justified
in much the same way that supply side
capitalism is justified. The existence of poverty and other
social forms of injustice are either ignored or justified.
In authoritarian supply side environments, knowledge is supplied
without taking
into account the interests or judgments of the individual
student. This may seem to be reasonable, particularly when the
system regards the individual students as being somehow not able to
reach a higher level of synthesis. Clearly students
do not often know what they want from freshman mathematics, but is this
the students' fault?
The excesses
seen in the American credit crisis of 2008 are
seen also in supply side education. The excess results from
control over institutions by a few, where those few may not really have
the interests of the many in mind. Consequences often include
inadequate classroom resources, low pay for professors, overly large
and costly textbooks, and
disenfranchisement of individual students and professors.
In summary, the system, professors, textbooks and
testing
organizations; is largely
disconnected from the world of the students.
An
example is in order. Many colleges have a hierarchical notion of
college governance, where each level of the hierarchy is fulfilling
private agendas. Faculty members in these institutions are
controlled, and through hiring and firing practices the faculty body
becomes passive and unable to support innovations. Clearly, a
demand side theory of education will have difficulty within this
settling.
The philosopher John
Dewey
developed a philosophical foundation that now serve as a pure model of
supply side
educational theory. This thesis is complex, involving the notion
of empiricism, the limitations that might be found on the scientific
methodology and the nature of authority. It is also necessary to
talk about the nature of the particular and the universal and machine
encoded ontology. In essence, the thesis
suggests that the American system of education justifies many current
practices based on what is called pragmatism but which is really supply
side. The role of the individual
learner is made sub servant to the authority of the system.
Failures of supply side systems are not without context. The
development of capitalism with structural balances between supply and
demand must be considered as very advanced ideal. Democratic
capitalism demands this balance, and clearly we have not as yet
manifest perfect balance in this kind of social structure.
Capitalism cannot mean that we systematically ignore social
value. The
context; therefore,
has to do with a difference between a good system that is wasteful and
a more perfect system where human endeavor is enhanced to a greater
extent.
Support structure
What is the ideal support for demand side instruction with a
mathematics curriculum?
One classroom shared by two
faculty
members, rather than random selection of classrooms with instructor's
interests not in focus. In most under served community
institution cases, small faculty
offices are not reasonable.
Scanner, printer and computer
Desk, lockable file system
Electronic white board with web interface
Web cam and digital audio recorder
Audio and digital editing recorder
Adequate classroom supplies, including paper, folders, chalk etc
Section 2: Description of a proposed web environment
Editing of class resources
and privacy
issues
Scanner --> concise record with privacy safeguards
Software that assists the class itself in co-creating a representation
of the curriculum
Student use scenarios
Section 3: Abstract, system theoretic, description of demand
side
education
Section 4: Principles of academic governance, shifting the practices
from supply to demand side
Section 5: Current practices to be transformed
Section 6: The Second School Community Centers <*>
Prototype
Design principles
Section 7: National Program
Bridge between high school
and college
Private enterprise and the transition between high school and college
Recruitment
New competition based on transparency and demand
Service standards