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A formal model for assessing the learning outcomes of academic programs.
Manuel F Caro1, Elviara P Flórez2, Isabel C Muñoz1
1Departamento de Informática Educativa, Universidad de Córdoba, Carrera 6 No. 77-305, Montería, 230002, Córdoba, Colombia.
This study presents a formal model for evaluating learning outcomes in academic programs. The model, using set theory and matrix algebra, reveals a significant decline in performance over a teacher training program, enabling iterative curriculum improvement.
Area of Science:
- Educational Assessment
- Higher Education Pedagogy
- Computer Science Education
Background:
- Academic programs struggle with consistent and traceable evaluation of learning outcomes.
- Alignment of learning outcomes with curricular goals remains a challenge.
- Existing assessment methods often lack systematic structure and longitudinal tracking.
Purpose of the Study:
- To introduce and validate a formal model for systematic learning outcome assessment.
- To enhance the consistency, traceability, and alignment of evaluations.
- To support iterative curriculum improvement in academic programs.
Main Methods:
- Development of a formal model grounded in set theory and matrix algebra.
- Integration of the SOLO taxonomy for cognitive performance classification.
- Application and validation of the model in a five-year Computer Science teacher training program using statistical analysis (paired t-test, ANOVA).
Main Results:
- A significant decline in learning outcome performance was observed between the initial and final stages of the program.
- Consistent performance across courses was noted at each assessment stage.
- The model demonstrated support for generating outcome-specific improvement plans.
Conclusions:
- The proposed model offers a replicable framework for aligning course-level evidence with program-level competencies in outcome-based education.
- Integration of structured assessment, cognitive benchmarking, and iterative feedback facilitates longitudinal monitoring of student achievement.
- The model empowers academic institutions to achieve continuous curriculum improvement.
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