{"title":"从数学能力看初中生解决开放性数学问题的创造性思维过程","authors":"M. Aldi, I. Ismail","doi":"10.26740/mathedunesa.v12n2.p388-399","DOIUrl":null,"url":null,"abstract":"Future challenges that are increasingly complex require the competence of graduates who are not only skilled, but also creative. The process of creative thinking has four stages, namely synthesizing ideas, building ideas, planning the implementation of ideas, and implementing ideas. Open-ended math problems are a medium that teachers can use to find out students' creative thinking processes. The purpose of this research is to describe the process of creative thinking of junior high school students in solving open-ended math problems in terms of mathematical abilities. This research is a qualitative descriptive study conducted in 7th grade of SMP Muhammadiyah 2 Taman. The research subject was one student from each category of high, medium and low mathematical ability. Data collection methods used are test and interview methods. The results obtained were that at the stage of synthesizing ideas, subjects with high, medium, and low mathematical abilities did so based on experience in class with known formulas. At the stage of building ideas, subjects with high mathematical abilities considered convenience, subjects with mathematical abilities considered other ways, and subjects with low mathematical abilities considered logic. At the stage of planning the implementation of the idea of a high ability subject and is doing it smoothly and productively, the low math ability subject is doing it inefficiently. As well as at the stage of applying the idea, the subject of high mathematical ability fulfilled the creative thinking aspects of fluency, flexibility, and novelty, the subject of medium mathematical ability fulfilled the aspect of flexibility, and novelty, the subject of low mathematical ability only fulfilled the aspect of flexibility.","PeriodicalId":31516,"journal":{"name":"MATHEdunesa","volume":"15 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2023-07-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Proses Berpikir Kreatif Siswa SMP dalam Menyelesaikan Masalah Matematika Open-Ended Ditinjau dari Kemampuan Matematika\",\"authors\":\"M. Aldi, I. Ismail\",\"doi\":\"10.26740/mathedunesa.v12n2.p388-399\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Future challenges that are increasingly complex require the competence of graduates who are not only skilled, but also creative. The process of creative thinking has four stages, namely synthesizing ideas, building ideas, planning the implementation of ideas, and implementing ideas. Open-ended math problems are a medium that teachers can use to find out students' creative thinking processes. The purpose of this research is to describe the process of creative thinking of junior high school students in solving open-ended math problems in terms of mathematical abilities. This research is a qualitative descriptive study conducted in 7th grade of SMP Muhammadiyah 2 Taman. The research subject was one student from each category of high, medium and low mathematical ability. Data collection methods used are test and interview methods. The results obtained were that at the stage of synthesizing ideas, subjects with high, medium, and low mathematical abilities did so based on experience in class with known formulas. At the stage of building ideas, subjects with high mathematical abilities considered convenience, subjects with mathematical abilities considered other ways, and subjects with low mathematical abilities considered logic. At the stage of planning the implementation of the idea of a high ability subject and is doing it smoothly and productively, the low math ability subject is doing it inefficiently. As well as at the stage of applying the idea, the subject of high mathematical ability fulfilled the creative thinking aspects of fluency, flexibility, and novelty, the subject of medium mathematical ability fulfilled the aspect of flexibility, and novelty, the subject of low mathematical ability only fulfilled the aspect of flexibility.\",\"PeriodicalId\":31516,\"journal\":{\"name\":\"MATHEdunesa\",\"volume\":\"15 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2023-07-09\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"MATHEdunesa\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.26740/mathedunesa.v12n2.p388-399\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"MATHEdunesa","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.26740/mathedunesa.v12n2.p388-399","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
摘要
未来的挑战日益复杂,要求毕业生不仅要有技能,还要有创造性。创造性思维的过程有四个阶段,即综合想法、建立想法、计划实施想法和实施想法。开放式数学问题是教师了解学生创造性思维过程的一种媒介。本研究旨在从数学能力的角度描述初中生解决开放式数学问题的创造性思维过程。本研究是一项定性描述性研究,在 SMP Muhammadiyah 2 Taman 学校七年级进行。研究对象为数学能力高、中、低各一名学生。采用的数据收集方法是测试法和访谈法。研究结果表明,在综合想法阶段,数学能力高、中、低的受试者都是根据课堂上已知公式的经验来综合想法的。在建立想法阶段,数学能力高的受试者考虑的是方便性,数学能力中的受试者考虑的是其他方法,而数学能力低的受试者考虑的是逻辑性。在计划实施阶段,数学能力强的学生能够顺利、有效地实施自己的想法,而数学能力弱的学生则效率低下。在应用想法的阶段,数学能力强的受试者实现了创造性思维的流畅性、灵活性和新颖性,数学能力中等的受试者实现了灵活性和新颖性,数学能力差的受试者只实现了灵活性。
Proses Berpikir Kreatif Siswa SMP dalam Menyelesaikan Masalah Matematika Open-Ended Ditinjau dari Kemampuan Matematika
Future challenges that are increasingly complex require the competence of graduates who are not only skilled, but also creative. The process of creative thinking has four stages, namely synthesizing ideas, building ideas, planning the implementation of ideas, and implementing ideas. Open-ended math problems are a medium that teachers can use to find out students' creative thinking processes. The purpose of this research is to describe the process of creative thinking of junior high school students in solving open-ended math problems in terms of mathematical abilities. This research is a qualitative descriptive study conducted in 7th grade of SMP Muhammadiyah 2 Taman. The research subject was one student from each category of high, medium and low mathematical ability. Data collection methods used are test and interview methods. The results obtained were that at the stage of synthesizing ideas, subjects with high, medium, and low mathematical abilities did so based on experience in class with known formulas. At the stage of building ideas, subjects with high mathematical abilities considered convenience, subjects with mathematical abilities considered other ways, and subjects with low mathematical abilities considered logic. At the stage of planning the implementation of the idea of a high ability subject and is doing it smoothly and productively, the low math ability subject is doing it inefficiently. As well as at the stage of applying the idea, the subject of high mathematical ability fulfilled the creative thinking aspects of fluency, flexibility, and novelty, the subject of medium mathematical ability fulfilled the aspect of flexibility, and novelty, the subject of low mathematical ability only fulfilled the aspect of flexibility.