数学学生解决数学陈述证据问题的难度分析

Vivi Suwanti, Trija Fayeldi
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引用次数: 0

摘要

本研究的目的是描述数学教育大学生在做数学证明时的困难。本研究采用描述性定性方法。本研究的对象是3名数学教育专业的学生,他们参加了真实分析课。受试者的选择是根据他们在实际分析中的数学命题证明能力。本研究采用笔试和口试两个步骤进行。研究结果表明:能力强的大学生往往难以用书面形式写出过去需要证明的信息,但他们仍然能够获得正确的证明;中等能力的大学生往往难以构建出合适的命题证明步骤和逻辑;能力低下的大学生往往难以理解任务中已知命题的目的、意义和性质。为了深化这一研究结果,在下一步的研究中,我们可以采用标准的方法来检测难度,例如NEA(牛顿误差分析),以找到更结构化的结果。
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Analisis Kesulitan Mahasiswa Pendidikan Matematika dalam Menyelesaikan Masalah Pembuktian Pernyataan Matematika
This study’s aim is to describe mathematics education college students difficulties when doing mathematical proof. This study employs descriptive qualitative methods. This study subjects are 3 mathematic education college students who take real analysis class. The subjects was chosen according to their mathematics proposition proof ability in real analysis. The study was carried out by two step test s, they are written and oral test. Based on the study results we know that: college student with high ability tends to have difficulty in write the information that used to proof in written form, but they still manage to get the right proof; college student with middle ability tends to have difficulty in construct the suitable steps and logics to proof the proposition; and college student with low ability tends to have difficulty in understanding the purpose, meaning, and properties that given by the known proposition in the task. In order to deepen this study results, in the next study, we can employs a standard method to detects difficulty, such as NEA (Newton’s Error Analysis), to find more structured results.
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