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Lifting Pedagogy Software Product
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Summary and call to action
There is a practical problem having immediate financial impact.
College tuition may not result in either the credit for or the
knowledge advertised. On average 60% or more of entering freshman pay
for a freshman mathematics class that they do not pass. Students
and parents would save, in tuition costs, many times what lifting
pedagogy programs will cost.
The background
The efforts of the mathematics education community may be wrong minded,
and actually deepening the crisis in mathematics education. Departments
of mathematics are generally focused on training good students already
having a quality understanding of pre-college mathematics. The
"system" is not functioning for the greatest majority of freshman
students.
When taking a mathematics class, freshman
non-mathematics majors experience negative self-efficacy. This
experience is largely ignored by developmental and remedial
programs. Freshman programs either function is exactly the same
way as fourty years ago, or are organized around skill based
drilling. <*>
These programs treat to absence of skill and motivation
as if no negative experiences occurred during K-12. However, most
students report such experiences.
If principles of biological science are applied to the question of
reinforcement and the development of habituated behavioral patterns, we
find a deep theory giving evidence that an acquired learning disability
has developed. This theory appears to be too advanced to be
communicated within the mathematics education community, where
resistance to innovation is well known.
The cause of negative outcomes from K-12 and freshman mathematics
training may be due to poor slow and generally un-insightful
instruction during the pre-college experience. The consistancy of
K-12 training leads to an acquired
learning disability in almost every graduating student. Whereas
earlier in life, the learner had the
potential for understanding the fundamental procedures of arithmetic,
this potential is now inhibited, at the time of the college freshman
year, by an adaptation. <*>
The problem of acquired learning disability is to be addressed using a
pedagogy and delivery infrastructure.
Most colleges and universities have adopted a pure supply side approach
in supporting freshman instruction in mathematics. This means
that instruction is often imposed on students who are not comfortable
with either the pedagogy or the curriculum.
In theory, the standard approach to freshman mathematics is justified
in much the same way that supply side capitalism is justified.
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 revolves around 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.
The system, professors, textbooks and testing organizations; is largely
disconnected from the world of the students. This is not always
true, but an investigation of the practices and concerns of faculty of
mathematics in various categories of colleges and universities is
revealing.
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, sometimes because the faculty do not have American
citizenship. In many cases, 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.
Paradoxically, we support the thesis that the philosopher John Dewey
developed a foundation that now serves 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. In essence, the thesis
suggests that the American system of education justifies many current
practices based on what is regarded as pragmatism.
In a complex sense, the role of the individual
learner is made sub servant to the authority of the system. The
mind is limited by the way in which minimal educational curriculum are
developed. What our society needs is a system that produces a new
type of curriculum that focuses on the future citizen. The demand
side theory refocus the student and the system itself on the legitimacy
of learning for the purpose of learning. The learner is empowered
to go further and demand the highest quality of learning.