Analyzing Students’ Errors in Solving Trigonometric Problems Using Newman’s Procedure Based on Students’ Cognitive Style

Rostina Sundayana, Cindy Elsa Parani
{"title":"Analyzing Students’ Errors in Solving Trigonometric Problems Using Newman’s Procedure Based on Students’ Cognitive Style","authors":"Rostina Sundayana, Cindy Elsa Parani","doi":"10.31980/mosharafa.v12i1.2486","DOIUrl":null,"url":null,"abstract":"AbstrakTujuan penelitian ini untuk mengetahui kesalahan yang dilakukan siswa yang memiliki gaya kognitif field dependent  dan field Independent  dalam menyelesaikan soal trigonometri berdasarkan prosedur Newman. Pendekatan yang digunakan adalah pendekatan kualitatif dengan jenis penelitian deskriptif. Pengumpulan data menggunakan tes GEFT (group embedded figure test), tes trigonometri, dan wawancara. Subjek  penelitian ditentukan dengan purposive sampling dan dipertimbangkan berdasarkan beberapa kriteria, yaitu; (1) siswa berada pada kategori gaya kognitif field dependent  atau field Independent , (2) siswa memiliki kemampuan komunikasi yang baik (berdasarkan informasi dari guru dan pengamatan dilapangan). Teknik analisis data dilakukan dengan tiga tahapan yaitu reduksi data, penyajian data, dan pembuktian serta penarikan kesimpulan. Hasil penelitian menunjukkan bahwa kesalahan siswa tertinggi pada kesalahan penarikan kesimpulan untuk siswa dengan jenis gaya kognitif yang berbeda. Berbeda dengan siswa dengan gaya kognitif field dependent , siswa dengan gaya kognitif field Independent  tidak ada yang melakukan kesalahan membaca, sedangkan salah satu siswa dengan gaya kognitif field dependent  masih ada yang melakukan kesalahan membaca. Penyebab kesalahan-kesalahan tersebut pada umumnya yaitu kebiasaan tidak menuliskan penyelesaian soal sesuai konteks yang diminta soal, kurang teliti, kurang memahami situasi masalah, dan kurang berlatih soal-soal terutama soal bentuk cerita. AbstractThe purpose of this study was to find out the errors made by students with field dependent and field independent cognitive styles in solving trigonometry problems based on Newman procedure. This descriptive study used a qualitative approach. The data collection techniques involved the GEFT test (group embedded figure test), trigonometry tests, and interviews. The participants were determined by purposive sampling and considered based on several criteria, namely; (1) students were categorized into field defender or field independent cognitive style, (2) students demonstrated good communication skills (based on the information from the teacher and field observations). The data analysis technique was carried out in three stages, namely data reduction, data presentation, and verification and drawing conclusions. The results showed that the students' errors were the highest in drawing conclusions for students with different types of cognitive styles. In contrast to the students with the field defender cognitive style, the students with the field independent cognitive style did not make any reading errors, while one of the students with the field dependent cognitive style still made reading errors. The reasons of these errors in general were the student’s habit, in which they did not write the solution to the problem being asked, conduct the process thoroughly, understand the problem situation, and do exercises, especially about the form of the story.","PeriodicalId":102966,"journal":{"name":"Mosharafa: Jurnal Pendidikan Matematika","volume":"75 4","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2023-01-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mosharafa: Jurnal Pendidikan Matematika","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.31980/mosharafa.v12i1.2486","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0

Abstract

AbstrakTujuan penelitian ini untuk mengetahui kesalahan yang dilakukan siswa yang memiliki gaya kognitif field dependent  dan field Independent  dalam menyelesaikan soal trigonometri berdasarkan prosedur Newman. Pendekatan yang digunakan adalah pendekatan kualitatif dengan jenis penelitian deskriptif. Pengumpulan data menggunakan tes GEFT (group embedded figure test), tes trigonometri, dan wawancara. Subjek  penelitian ditentukan dengan purposive sampling dan dipertimbangkan berdasarkan beberapa kriteria, yaitu; (1) siswa berada pada kategori gaya kognitif field dependent  atau field Independent , (2) siswa memiliki kemampuan komunikasi yang baik (berdasarkan informasi dari guru dan pengamatan dilapangan). Teknik analisis data dilakukan dengan tiga tahapan yaitu reduksi data, penyajian data, dan pembuktian serta penarikan kesimpulan. Hasil penelitian menunjukkan bahwa kesalahan siswa tertinggi pada kesalahan penarikan kesimpulan untuk siswa dengan jenis gaya kognitif yang berbeda. Berbeda dengan siswa dengan gaya kognitif field dependent , siswa dengan gaya kognitif field Independent  tidak ada yang melakukan kesalahan membaca, sedangkan salah satu siswa dengan gaya kognitif field dependent  masih ada yang melakukan kesalahan membaca. Penyebab kesalahan-kesalahan tersebut pada umumnya yaitu kebiasaan tidak menuliskan penyelesaian soal sesuai konteks yang diminta soal, kurang teliti, kurang memahami situasi masalah, dan kurang berlatih soal-soal terutama soal bentuk cerita. AbstractThe purpose of this study was to find out the errors made by students with field dependent and field independent cognitive styles in solving trigonometry problems based on Newman procedure. This descriptive study used a qualitative approach. The data collection techniques involved the GEFT test (group embedded figure test), trigonometry tests, and interviews. The participants were determined by purposive sampling and considered based on several criteria, namely; (1) students were categorized into field defender or field independent cognitive style, (2) students demonstrated good communication skills (based on the information from the teacher and field observations). The data analysis technique was carried out in three stages, namely data reduction, data presentation, and verification and drawing conclusions. The results showed that the students' errors were the highest in drawing conclusions for students with different types of cognitive styles. In contrast to the students with the field defender cognitive style, the students with the field independent cognitive style did not make any reading errors, while one of the students with the field dependent cognitive style still made reading errors. The reasons of these errors in general were the student’s habit, in which they did not write the solution to the problem being asked, conduct the process thoroughly, understand the problem situation, and do exercises, especially about the form of the story.
查看原文
分享 分享
微信好友 朋友圈 QQ好友 复制链接
本刊更多论文
基于学生认知风格的纽曼程序解题错误分析
本研究的目的是确定学生在解决基于纽曼程序的三角问题时具有场论推理和独立性的认知错误。所使用的方法是一种定性的研究类型的描述性研究。通过GEFT测试、三角函数测试和访谈来收集数据。研究对象是用采样的目的来确定的,并根据一些标准来考虑,即;(1)学生属于场外或独立领域的认知风格类别,(2)学生有良好的沟通能力(根据教师和现场观察的信息)。数据分析技术采用三个阶段,即数据还原、数据显示和结论验证和提现。研究结果表明,学生在提取式错误上的最终错误是具有不同认知风格的学生。与学生的现场认知风格不同的是,独立领域认知风格的学生没有犯任何阅读错误,而菲尔德独立认知风格的学生之一仍然会犯阅读错误。造成这些错误的原因通常是习惯上没有按照所要求的上下文列出解决问题的方法,不那么仔细,对问题的理解更少,对故事形式的问题更少。本研究的目的是找出纽曼程序中计算出的几何形状和独立自主图形所产生的错误。这份解释性研究表明有一定的同意。数据收集技术参与了GEFT测试、三角测试和测试。participants是由采样决定的,被认为是基于several crit阿德尔,namely;(1)学生被划分为现场防御或独立认知风格,(2)学生表现良好的沟通技能(基于教师和现场观察的信息)。技术分析数据分析在三个阶段被考虑,namely数据减减,数据提交,验证和起草结论。反对者指出,学生们的错误是对学生们的最终决定,与其他认知风格的象征不同。与场防卫风格相反的学生,与球场独立认知风格的学生,并没有犯任何错误,而与田野共同认知风格的学生,仍在进行可恶的阅读。这种错误的结果通常是学生的习惯,在这种情况下,他们不列出问题的解决方案,深入地了解情况,了解情况,特别是故事的形式。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
求助全文
约1分钟内获得全文 去求助
来源期刊
自引率
0.00%
发文量
0
期刊最新文献
Numeration-Based Teaching Materials on Algebra Shape Materials for Blended Learning Students’ Scientific Attitudes and Creative Thinking Skills Students' Computing Thinking Ability in Calculating an Area Using The Limit of Riemann Sum Approach Exion Math: An Interactive Digital Question Bank Design for Middle School Mathematics Pre-Service Biology Teachers’ Mathematics Anxiety
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
现在去查看 取消
×
提示
确定
0
微信
客服QQ
Book学术公众号 扫码关注我们
反馈
×
意见反馈
请填写您的意见或建议
请填写您的手机或邮箱
已复制链接
已复制链接
快去分享给好友吧!
我知道了
×
扫码分享
扫码分享
Book学术官方微信
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术
文献互助 智能选刊 最新文献 互助须知 联系我们:info@booksci.cn
Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。
Copyright © 2023 Book学术 All rights reserved.
ghs 京公网安备 11010802042870号 京ICP备2023020795号-1