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Quantitative analysis of curricula coherence using directed graphs

机译：使用有向图定量分析课程的连贯性

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This paper investigates methods for quantitatively examining the connectivity and knowledge flow in a university program considering courses and concepts included in the program. The proposed method is expected to be useful to aid program design and inventory, and for communicating what concepts a course may rely on at a given point in the program. As a first step, we represent the university program as a directed graph with courses and concepts as nodes and connections between courses and concepts as directed edges. Then, we investigate the connectivity and the flow through the graph in order to gain insights into the structure of the program. We thus perform two investigations based on data collected from an engineering program at a Swedish university: a) how to represent (parts of) the university program as a graph (here called Directed Courses-Concepts Graph (DCCG)), and b) how to use graph theory tools to analyse the coherence and structure of the program.
机译：本文研究了考虑课程中包含的课程和概念的定量检查大学课程中的连通性和知识流的方法。预期所提出的方法将有助于辅助程序设计和清单编制，并有助于传达课程在程序中给定点可能依赖的概念。第一步，我们将大学课程表示为有向图，课程和概念为节点，课程和概念之间的连接为有向边。然后，我们调查图表的连通性和流程，以深入了解程序的结构。因此，我们基于从瑞典某大学的一个工程项目中收集到的数据进行了两次调查：a）如何将大学项目的（一部分）表示为图形（此处称为定向课程概念图（DCCG）），b）如何使用图论工具分析程序的一致性和结构。

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