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Electronic proofs in mathematics education — A South African Teacher Professional Development (TPD) course informing the conceptualisation of an e-proof system authoring support workshop

机译:数学教育中的电子证明–南非教师专业发展(TPD)课程,介绍电子证明系统创作支持研讨会的概念

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Within a collaborative German project, an Electronic Proof System for supporting learners in gaining proof competences and teachers in the assessment of mathematical proofs is developed. Our vision is the development of an adaptive learning, test and diagnostic system, including the substantial and methodological potential of fuzzy logic and artificial neural networks to include a tutorial component for learning, on the one hand and, on the other hand, to improve the automatic correction and to enable an automatic valuation with possibly low manual correction efforts. Thereby, the correction effort shall be kept as low as possible while having preferably high freedom degrees. The theoretical framework determines the structure of the IT environment. A first prototype was developed using IMathAS (www.imathas.com/), a web-based mathematics assessment tool for delivery and semi-automatic grading of mathematical homework. To enable offline use, a JavaScript-based prototype was developed using the appearance of IMathAS. This way, an authoring support tool could be developed to facilitate the creation of E-proofs. So far, no big community of authors contributes to public libraries of such E-proofs. For this reason, the collaboration of and sharing between different institutions should be cultivated and the awareness of the existence of an open-source E-proof system has to be increased. A Community of Practice as a collaborating group of people sharing the same aims is supposed to be established starting with the development of a Teacher Professional Development (TPD) based on a South African concept to promote the vision and idea of the project and to facilitate the access to the E-proof system.
机译:在一个德国合作项目中,开发了一种电子证明系统,以支持学习者获得证明能力,并支持教师评估数学证明。我们的愿景是开发自适应学习,测试和诊断系统,其中包括模糊逻辑和人工神经网络的巨大潜力和方法论潜力,一方面包括用于学习的教程组件,另一方面可改善自动更正,并以较低的人工更正工作量实现自动评估。从而,校正努力应保持尽可能低的同时最好具有较高的自由度。理论框架决定了IT环境的结构。第一个原型是使用IMathAS(www.imathas.com/)开发的,IMathAS是基于Web的数学评估工具,用于数学作业的交付和半自动评分。为了能够离线使用,使用IMathAS的外观开发了基于JavaScript的原型。这样,可以开发创作支持工具来促进电子证明的创建。到目前为止,还没有大型的作者社区为这种电子证明的公共图书馆做出贡献。因此,应该培养不同机构之间的协作和共享,并且必须提高对开放源电子证明系统存在的认识。应当建立一个具有共同目标的实践社区,这是一个以南非为基础的教师专业发展计划(TPD)的发展,以促进该项目的愿景和构想,并促进该计划的建立。访问电子证明系统。

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