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基于解释结构建模方法构建立体几何认知模型。

Developing a cognitive model of solid geometry based on Interpretive Structural Modeling method.

作者信息

Zhang Heyang, Wu Xiaopeng, Ju Mingyue

机构信息

School of Mathematics and Statistics, Northeast Normal University, Changchun, China.

Faculty of Education, Northeast Normal University, Changchun, China.

出版信息

Heliyon. 2024 Feb 24;10(5):e27063. doi: 10.1016/j.heliyon.2024.e27063. eCollection 2024 Mar 15.

Abstract

With the advancement of science and artificial intelligence, education is experiencing significant innovation. The adaptive learning system is emerging as a promising approach to achieving personalized learning. The cognitive model plays a crucial role as the fundamental rationale behind the adaptive learning system. Currently, there is no uniform and highly operational method for constructing cognitive models. This study adopts Interpretive Structural Modeling (ISM) as the foundational approach for constructing a cognitive model of solid geometry. Based on literature and expert opinions, 17 cognitive attributes of high school solid geometry were identified. Subsequently, a questionnaire survey involving 40 experts was conducted to establish the contextual relationships among these attributes. Applying the ISM method resulted in a seven-level model. This model was then revised based on expert opinions to create the final cognitive model, revealing three primary paths within the domain of high school solid geometry. This paper contends that the use of the ISM method for constructing cognitive models is effective and objective. The resulting cognitive model unveils the content structure of high school solid geometry, and provides an innovative perspective on the construction of cognitive models.

摘要

随着科学和人工智能的发展,教育正在经历重大创新。自适应学习系统正在成为实现个性化学习的一种有前途的方法。认知模型作为自适应学习系统背后的基本原理起着至关重要的作用。目前,构建认知模型没有统一且操作性强的方法。本研究采用解释结构模型(ISM)作为构建立体几何认知模型的基础方法。基于文献和专家意见,确定了高中立体几何的17个认知属性。随后,对40位专家进行了问卷调查,以建立这些属性之间的上下文关系。应用ISM方法得到了一个七级模型。然后根据专家意见对该模型进行修订,以创建最终的认知模型,揭示了高中立体几何领域内的三条主要路径。本文认为,使用ISM方法构建认知模型是有效且客观的。所得的认知模型揭示了高中立体几何的内容结构,并为认知模型的构建提供了创新视角。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/cb6f/10943343/844307885c69/gr1.jpg

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