A Computer Approach to Mathematics Curriculum Developments Debugging

Abstract

Sequencing contents is of great importance for instructional design within the teaching planning processes. We believe that it is key for a meaningful learning. Therefore, we propose to formally establish a partial order relation among the contents. We have chosen the binary relation "to be a prerequisite" for that purpose. We have applied this approach to the mathematical contents of the compulsory Secondary Education of the Spanish educational system and the information obtained has been modeled as a graph. The amount of contents considered (814) and the number of ordered pairs in the order relation considered (17,782) has produced a big graph. In order to work effectively with that amount of data, we have used software specialized in network analysis. More precisely, we have used the software packages Pajek and Gephi. This software, together with the use of techniques borrowed from graph theory, has allowed providing a tool for debugging curriculum developments (similar to rule based expert systems verification).

College Classroom English Teaching Methods and Practice Based on Big Data Technology

“…It is very unfavorable for the cultivation of diverse, practical, and innovative talents. Attention should be paid to college classroom English teaching [11][12][13].…”

An Application of Knowledge Engineering to Mathematics Curricula Organization and Formal Verification

“…We have also worked on organizing, structuring, grouping, and sequencing educational contents using graph theory [61][62][63]. Moreover, we have worked on debugging curriculum developments using graph theory techniques rather than RBES [64]. Furthermore, we have analyzed the spiral character of a part of the curriculum as well.…”