SMP Negeri 3 Tondano 九年级学生在解决有关符合性和等价性的故事问题时的错误分析

Arbi Maarial, Cory Pitoy, J. Monoarfa
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摘要

本研究旨在分析通达诺州立第三中学九年级学生在解决与全等和构造材料相关的故事时所犯的错误。本研究为定性描述研究,研究对象为 32 名学生,并选取 6 名学生作为访谈样本。通过观察、书面测试和访谈收集数据。数据分析通过数据总结、数据展示和解释来完成。观察到的错误有三种类型,即 I 错误地理解了问题,II 错误地建立了数学模型,III 错误地进行了代数运算。研究结果显示,第二类错误是最常见的错误,有 32 名学生在第 2 题中犯了这一错误。错误率达到了 100%,这表明所有受测学生都出现了这种错误。第三类错误也有相当多的学生出现,即第 3 题有 27 名学生,错误率为 84%。第 4 题的第二类错误和第三类错误相结合,即两种错误相结合,表明大多数学生(27 名学生,占 84%)犯了第二类错误,而犯第三类错误的学生人数也相当多(26 名学生,占 81%)。这表明,这两类错误的结合仍然是理解和应用数学概念的一个难题。结论是,学生在解决数学问题时,主要在建立数学模型(第二类错误)、进行代数运算(第三类错误)以及两类错误的综合运用方面存在困难。通过了解常见错误的类型,教师可将重点放在需要更多关注出现问题的方面,从而优化学习过程,使学生能够掌握数学概念。
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Analisis Kesalahan Siswa Kelas IX SMP Negeri 3 Tondano Dalam Menyelesaikan Soal Cerita Pokok Bahasan Kekongruenan dan Kesebangunan
The study aims to analyze the mistakes of students in solving stories related to the material of congruence and construction in the 9th grade of the 3rd Tondano State High School. This research is a qualitative descriptive research with research subjects being 32 students and selected 6 students as samples of interviews. Data is collected through observations, written tests, and interviews. Data analysis is done through data summaries, data presentation, and interpretation. There are three types of errors observed, i.e. I misunderstood the problem, II mismade the mathematical model, III misled the algebraic operation. The results of the study showed that Type II error was the most common error, with 32 students making this error on issue 2. The error percentage reached 100%, suggesting that this error occurred in all students tested. Type III error, also occurred at a significant number, namely 27 students on issue 3, with a rate of error of 84%. The combination of Type II and III errors on issue 4, which combines both types of errors, shows that the majority of students (27 students percent 84%) make type II mistakes, while the number of students who make type III mistakes (26 students percent 81%) is also quite high. It suggests that the combination of both types of errors is still a challenge in understanding and applying mathematical concepts. The conclusion is that students have difficulties mainly in creating mathematical models (type II errors), performing algebraic operations (typ III errors) and a combination of both types of errors in solving mathematics issues. By knowing what kinds of common mistakes occur, teachers can focus on areas that require more attention to the problems that occur so that the learning process can be optimized and students are able to master the mathematical concepts.
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