Students’ and Lecturers’ Perceptions of Students’ Difficulties in Geometry Courses

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Abstract

Geometry is one of the compulsory courses that should be taken by students majoring in Mathematics. In the Foundations of Geometry (MAT123) course, proving is one of the most important mathematical problem-solving techniques. Students must comprehend several theorems, definitions and basic concepts of Geometry, as well as how to use the two-column proof method. It's crucial to understand the concept of proof in problem-solving because it'll be used throughout the MAT123 syllabus. However, it has been discovered that students have difficulty answering questions related to proving. In addition, the Covid-19 pandemic makes it more difficult for lecturers to teach how to solve each proving question to students via online distance learning. Hence, to speed up the process of understanding the proving technique, both lecturers' and students' perceptions are needed to discover the best teaching technique for the MAT123 courses.
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学生与教师对学生几何课程难点的认知
几何是数学专业学生的必修课程之一。在《几何基础》(MAT123)课程中,证明是最重要的数学解题技巧之一。学生必须理解几何的几个定理、定义和基本概念,以及如何使用两列证明法。在解决问题的过程中理解证明的概念是至关重要的,因为它将在整个MAT123教学大纲中使用。然而,发现学生们很难回答与证明有关的问题。此外,2019冠状病毒病大流行使讲师更难通过在线远程学习向学生讲授如何解决每个证明问题。因此,为了加快理解证明技术的过程,需要教师和学生的感知来发现MAT123课程的最佳教学技术。
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