探索学生解决勾股定理问题的数学计算思维能力

Faizah Nurwita, Y. Kusumah, N. Priatna
{"title":"探索学生解决勾股定理问题的数学计算思维能力","authors":"Faizah Nurwita, Y. Kusumah, N. Priatna","doi":"10.24042/ajpm.v13i2.12496","DOIUrl":null,"url":null,"abstract":"This study explores students' mathematical computational thinking ability in solving the Pythagorean Theorem problem. This research method used a qualitative approach with a phenomenological design. The subjects involved in this study were 12 junior high school students. Six students in grade 7 had not studied the Pythagorean Theorem, and six students in grade 8 were studying the Pythagorean Theorem. This study's results indicate several problems with students' mathematical computational thinking skills in mathematics learning. The first problem is seen from the aspect of abstraction. Students are given problems with the help of digital-based teaching aids. Then the researcher provides procedures containing questions so students can digest the information and follow their intuition to find a solution strategy. Still, students have not decided what information should be stored or ignored. The second problem is seen from the aspect of decomposition. Students have not been able to decompose complex problems into simpler and more manageable ones. Student responses are also still not according to the researchers' predictions. However, with the scaffolding technique, researchers can direct students' intuition or thought processes to focus more on the problem being asked. The third problem is seen from the aspect of generalization. Students have not been able to generalize the problem and have not been able to conclude from the steps that have been taken. These three problems indicate that students cannot recognize and identify patterns well, thereby reducing the efficiency of the mathematical problem-solving process.","PeriodicalId":385020,"journal":{"name":"Al-Jabar : Jurnal Pendidikan Matematika","volume":"31 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2022-12-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"Exploring students’ mathematical computational thinking ability in solving pythagorean theorem problems\",\"authors\":\"Faizah Nurwita, Y. Kusumah, N. Priatna\",\"doi\":\"10.24042/ajpm.v13i2.12496\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This study explores students' mathematical computational thinking ability in solving the Pythagorean Theorem problem. This research method used a qualitative approach with a phenomenological design. The subjects involved in this study were 12 junior high school students. Six students in grade 7 had not studied the Pythagorean Theorem, and six students in grade 8 were studying the Pythagorean Theorem. This study's results indicate several problems with students' mathematical computational thinking skills in mathematics learning. The first problem is seen from the aspect of abstraction. Students are given problems with the help of digital-based teaching aids. Then the researcher provides procedures containing questions so students can digest the information and follow their intuition to find a solution strategy. Still, students have not decided what information should be stored or ignored. The second problem is seen from the aspect of decomposition. Students have not been able to decompose complex problems into simpler and more manageable ones. Student responses are also still not according to the researchers' predictions. However, with the scaffolding technique, researchers can direct students' intuition or thought processes to focus more on the problem being asked. The third problem is seen from the aspect of generalization. Students have not been able to generalize the problem and have not been able to conclude from the steps that have been taken. These three problems indicate that students cannot recognize and identify patterns well, thereby reducing the efficiency of the mathematical problem-solving process.\",\"PeriodicalId\":385020,\"journal\":{\"name\":\"Al-Jabar : Jurnal Pendidikan Matematika\",\"volume\":\"31 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2022-12-15\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Al-Jabar : Jurnal Pendidikan Matematika\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.24042/ajpm.v13i2.12496\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Al-Jabar : Jurnal Pendidikan Matematika","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.24042/ajpm.v13i2.12496","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 2

摘要

本研究探讨学生在解决勾股定理问题时的数学计算思维能力。本研究方法采用现象学设计的定性方法。本研究以12名初中生为研究对象。七年级有六名学生没有学习勾股定理,八年级有六名学生正在学习勾股定理。本研究的结果表明,学生在数学学习中的数学计算思维能力存在几个问题。第一个问题是从抽象的角度来看的。学生在数字教学辅助工具的帮助下遇到问题。然后,研究人员提供包含问题的程序,以便学生能够消化信息并遵循他们的直觉找到解决策略。然而,学生们还没有决定哪些信息应该被存储或忽略。第二个问题是从分解的角度来看。学生们还不能把复杂的问题分解成更简单、更容易处理的问题。学生的反应也与研究人员的预测不符。然而,通过脚手架技术,研究人员可以引导学生的直觉或思维过程更多地关注被问到的问题。第三个问题是从泛化的角度来看的。学生们不能概括这个问题,也不能从已经采取的步骤中得出结论。这三个问题表明学生不能很好地识别和识别模式,从而降低了数学问题解决过程的效率。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Exploring students’ mathematical computational thinking ability in solving pythagorean theorem problems
This study explores students' mathematical computational thinking ability in solving the Pythagorean Theorem problem. This research method used a qualitative approach with a phenomenological design. The subjects involved in this study were 12 junior high school students. Six students in grade 7 had not studied the Pythagorean Theorem, and six students in grade 8 were studying the Pythagorean Theorem. This study's results indicate several problems with students' mathematical computational thinking skills in mathematics learning. The first problem is seen from the aspect of abstraction. Students are given problems with the help of digital-based teaching aids. Then the researcher provides procedures containing questions so students can digest the information and follow their intuition to find a solution strategy. Still, students have not decided what information should be stored or ignored. The second problem is seen from the aspect of decomposition. Students have not been able to decompose complex problems into simpler and more manageable ones. Student responses are also still not according to the researchers' predictions. However, with the scaffolding technique, researchers can direct students' intuition or thought processes to focus more on the problem being asked. The third problem is seen from the aspect of generalization. Students have not been able to generalize the problem and have not been able to conclude from the steps that have been taken. These three problems indicate that students cannot recognize and identify patterns well, thereby reducing the efficiency of the mathematical problem-solving process.
求助全文
通过发布文献求助,成功后即可免费获取论文全文。 去求助
来源期刊
自引率
0.00%
发文量
0
×
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
确定
请完成安全验证×
copy
已复制链接
快去分享给好友吧!
我知道了
右上角分享
点击右上角分享
0
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 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号:604180095
Book学术官方微信