Home. [1] [2] [3] [4] [5] [6]





Tuesday, November 08, 2005




Outline of Work to be done on

Learning Theory and the Core Liberal Arts Curriculum


Part One


The Learning Theory supporting  the Lifting Strategy


A theory of learning is introduced to the freshman liberal arts student. 


This theory is applied to the learning of arithmetic, set theory and the elementary parts of algebra. 


The students often need to transform long-term personal issues with respect to pre-college mathematics.  In fact personal discipline is essential in demonstrating mastery over college algebra.  The traditional curriculum includes arithmetic, elements of geometry, elements of algebra, theory of functions, and introductory elements of the calculus of two variables. 


The objective of first studies in college mathematics should be to obtain a transparent understanding of the nature of mathematics.  This objective is often considered to be beyond the goals of developmental mathematics, and for this reason we feel that most developmental programs are wrong minded. 

The foundation of the Lifting Strategy is based on principles related to the formation of an image of self, and in this case the required personal transformation that would be required IF the student is to make a transformation.  Traditional educational theory, as practiced in most cases in the classroom, does not reach for this level of personal transformation. The traditional practice is "supply side" in nature.  We seek a demand side educational theory.  <*>


Few would disagree that an inward discipline is required to make a transformation in how the individual views his or her abilities in arithmetic, analytic/synthesis skills and foundational mathematics. 


Mathematics, considered as a single totality, may be studied starting with a specific curriculum often called foundations of mathematics.  The material is well established.  The foundation of mathematics is generally made available in some progressive liberal arts mathematics textbooks.  A course called the foundations of mathematics is often a required junior level course for mathematics majors. 


Unexpectedly, our work shows that the foundations are accessible to the average entering freshman at any American university or college.