**Analytical Models for Tertiary Education by Propaedeutic Cycles Applying Knowledge Engineering and Knowledge Management**

Alfonso Perez Gama *Fundacion de Educacion Superior San Jose FESSANJOSE\* – Bogota Colombia* 

#### **1. Introduction**

22 New Research on Knowledge Management Models and Methods

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ability to convince. Fith International Conference on Research Challenges in

A Knowledge based system model to face the new methodological strategy on Higher Education in Colombia by propaedeutic cycles. A great challenge is presented to Superior Education Institutions: to establish the link between traditional cycles: professionaltechnical, technology and university ones with the secondary, basic and media levels. Our solution is presented linking each phase with a propedaeutic component discussed in a model. The model is dialogically integrated by cognitive an informational components.

Leontief III Millenium: we present the problem resituation from the Inter-industry Economy Model, to the new Knowledge and Information Economy, by recontextualizing the W. LEONTIEF Model from the Industrial Society to the Knowledge Society, and by innovating it with the Process and Knowledge Engineering, Artificial and Computational Intelligence, Fuzzy Logic and General Systems Theory in order to face the most critical problems in Superior Education in Colombia. A structural system to determine and analyze the cohesion and coherence of the propedaeutic cycles between competences and the curriculum knowledge. This construct enables curricular knowledge management inside the media and higher education. Several types of matrices are developed; firstly regarding columns: the longitudinal one in time (semesters); secondly the cross one grouped by curriculum subjects, (additionally each cell of them can be expressed by fuzzy values); thirdly regarding the structure: the input/output for optimization purposes.

Also an individualized model of student productivity to be integrated to counteract the stereotypes which considers the technical and technological cycles as relegated careers in higher education. This model is an intelligent knowledge based one which was validated with a software prototype just implemented in the FESSAJOSE. This construct has as its mission the guarantee of quality assurance of student's propaedeutic cycles.

These initiatives are focused on Research, Development, Innovation and Experimentation with application of knowledge and ICT architectures. They are synthesized with a model designed and implemented to confront the four main problems frequently found in third world countries:

<sup>\*</sup> FESSANJOSE is a Technology Institution of Superior Education redefined by Propaedeutic cycles as a social project with student coming from lower economic strata at Bogota: www.fessanjose.edu.co.

Analytical Models for Tertiary Education by Propaedeutic

**2.2 Student desertion and repetition issues** 

Sociological techniques. Important factors that are the following:


entered in 2007 at the Institution.

the student's academic performance.

the university.

making any income economy.

productivity tool.

Cycles Applying Knowledge Engineering and Knowledge Management 25

structural components or matrix model for curriculum coherence verification and knowledge management, the management system of flexibility, and the student's productivity formation. The tests and validation of the model were initially supported on the rational on the use of the mathematical and computational instruments and, then, on the approach of the system measurement, the same rationale of the study theoretical frames, contrasting then, with the real application of the curriculum coherence matrix during the inspection on quality conditions of the Academic Peers for testing in Bogotá (March and April 2009) in all verified programs; additional a computer simulation model was designed and implemented for complementary validation. The consistence and the prediction power of the model was demonstrated along with the development of other information construct called iCOACH as a learning prototype , which is working to an experiential learning ; iCOACH is an intelligent system based on knowledge used as a student's individual

Student dropout is a phenomenon cultural and Socioeconomics. Several studies in Colombia have found statistics and figures in excess of 50% that significantly affect the efforts made for increasing the coverage and quality education. Similarly close to one of every two students entering the Systems do not completes successfully or do in times higher than expected. Some determinants of the phenomenon have been analyzed using Statistical and




It requires among other: Virtual systems for verification of concepts and deepening of meaningful learning, monitoring progress of individual students and motivation Programs, counseling, vocational guidance reinforced through academic tutoring, life project. In the Section 5 we deal with methodology aspects related to these problems. However it is important to point out that the problem is worsened by increasing educational coverage and the global crisis: every time we have more students, larger classes, less contact with them, increasing the teaching load and higher costs that many students spend more time on


Our response rests on 3 dimensional worlds with the mathematical and computational model: the Real world, the Virtual world and the Student and Lecturers world


Several parts of the model we present in this chapter have been submitted in several international conferences showing the progress in our research. Also it was included by the Colombia Education Ministry as one of the BEST PRACTICES in Superior Education in Colombia†.

In Section 1 we introduced the higher education sector analysis presenting several problems currently affects this sector. In following section we present the FESSJ-PROP Model for curricular analysis through the Coherence Matrix. The third section we present to initiative leading to develop the education software architecture facing student desertion. Next section the integration Linear Programming an Leontief model for the study of education sector problems like student desertion costs, academic governability, sustainability and the intellectual capital and the knowledge activities. Finally we present the methodology issues we developed to undertake these projects.
