{"title":"学生在理解真实分析概念时的认知结构概况","authors":"W. Widada","doi":"10.22460/infinity.v5i2.p83-98","DOIUrl":null,"url":null,"abstract":"The purpose of this research is to describe proil cognitive structure of students in understanding the concept of real analysis. This research is part of the research development of the theory of cognitive structure of students Mathematics Education Program at the University of Bengkulu. The results of this research are: 1)there are seven models decompositions of genetic students mathematics education reviewed based on the SRP Model about the concepts of Real Analysis namely Pra-Intra Level, Level intra, Level semi-inter, Level inter, Level semi-trans, Trans Level, level and Extended -Trans (only theoretic level while empirically not found); 2) There are six models decompositions of genetic students mathematics education reviewed based on KA about the concepts of Real Analysis namely Level 0: Objects of concrete steps; Level 1: Models Semi-concrete steps; Level 2: Models Theoretic; Level 3: Language in Domain Example; Level 4: Mathematical Language; Level 5: Inferensi Model. Profile of cognitive structure of mathematics education student at the University of Bengkulu is 6.25% Students located on the Basic Level (Pra-Intra Level with concrete objects), there is 8.75% Students located at Level 0 (intra Level with concrete objects), there are 15,00% Students located at Level 1 (semi-Level inter with Semi-Concrete Model), there are 33.75 percent students located on Level 2 (Level inter with theoretical model), there are 22.50 percent students located at Level 3 (Semi-trans Level with the Bible in Domain example), there are located on the student percent during the Level 4 (Trans Level with the language of Mathematics), and there are 0 percent students located at Level 5 (Level Extended -Trans with Inferensi Model). Students Education Mathematics at the University of Bengkulu pembangunnya element is functional can achieve Trans Level, students will be able to set up activities and make the algorithm that formed the concept/principles with the right. Functional students can also perform the process of abstraction using the rules in a system of mathematics.","PeriodicalId":31175,"journal":{"name":"Infinity","volume":"5 1","pages":"83-98"},"PeriodicalIF":0.0000,"publicationDate":"2016-09-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"28","resultStr":"{\"title\":\"PROFILE OF COGNITIVE STRUCTURE OF STUDENTS IN UNDERSTANDING THE CONCEPT OF REAL ANALYSIS\",\"authors\":\"W. Widada\",\"doi\":\"10.22460/infinity.v5i2.p83-98\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The purpose of this research is to describe proil cognitive structure of students in understanding the concept of real analysis. This research is part of the research development of the theory of cognitive structure of students Mathematics Education Program at the University of Bengkulu. The results of this research are: 1)there are seven models decompositions of genetic students mathematics education reviewed based on the SRP Model about the concepts of Real Analysis namely Pra-Intra Level, Level intra, Level semi-inter, Level inter, Level semi-trans, Trans Level, level and Extended -Trans (only theoretic level while empirically not found); 2) There are six models decompositions of genetic students mathematics education reviewed based on KA about the concepts of Real Analysis namely Level 0: Objects of concrete steps; Level 1: Models Semi-concrete steps; Level 2: Models Theoretic; Level 3: Language in Domain Example; Level 4: Mathematical Language; Level 5: Inferensi Model. Profile of cognitive structure of mathematics education student at the University of Bengkulu is 6.25% Students located on the Basic Level (Pra-Intra Level with concrete objects), there is 8.75% Students located at Level 0 (intra Level with concrete objects), there are 15,00% Students located at Level 1 (semi-Level inter with Semi-Concrete Model), there are 33.75 percent students located on Level 2 (Level inter with theoretical model), there are 22.50 percent students located at Level 3 (Semi-trans Level with the Bible in Domain example), there are located on the student percent during the Level 4 (Trans Level with the language of Mathematics), and there are 0 percent students located at Level 5 (Level Extended -Trans with Inferensi Model). Students Education Mathematics at the University of Bengkulu pembangunnya element is functional can achieve Trans Level, students will be able to set up activities and make the algorithm that formed the concept/principles with the right. Functional students can also perform the process of abstraction using the rules in a system of mathematics.\",\"PeriodicalId\":31175,\"journal\":{\"name\":\"Infinity\",\"volume\":\"5 1\",\"pages\":\"83-98\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2016-09-30\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"28\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Infinity\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.22460/infinity.v5i2.p83-98\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Infinity","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.22460/infinity.v5i2.p83-98","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 28
摘要
本研究的目的是描述学生在理解真实分析概念时的轮廓认知结构。本研究是明库鲁大学学生数学教育项目认知结构理论研究发展的一部分。研究结果表明:1)基于SRP模型对实数分析概念的遗传学生数学教育进行了7种模型分解,即Pra-Intra Level、Level intra Level、Level semi-inter、Level inter、Level semi-trans、Trans Level、Level和Extended -Trans(只有理论层面,没有实证发现);2)基于KA对遗传学生数学教育的实分析即0级概念进行了六种模型分解:具体步骤对象;1级:模型半具体步骤;第二层次:模型理论;三级:领域实例中的语言;四级:数学语言;第5级:interensi模型。明库鲁大学数学教育学生的认知结构概况为6.25%的学生位于基础水平(具有具体对象的Pra-Intra水平),8.75%的学生位于0水平(具有具体对象的intra水平),有15.00%的学生位于1水平(半水平与半具体模型之间)。有33.75%的学生位于第2级(具有理论模型的中级),有22.50%的学生位于第3级(以圣经为例的半跨级),位于第4级(具有数学语言的跨级)的学生占学生总数的百分比,并且有0%的学生位于第5级(具有interensi模型的扩展-跨级)。学生在明古鲁大学接受数学教育,pembangunnya元素的功能可以达到Trans水平,学生将能够设置活动并使算法形成正确的概念/原理。功能型学生还可以使用数学系统中的规则进行抽象过程。
PROFILE OF COGNITIVE STRUCTURE OF STUDENTS IN UNDERSTANDING THE CONCEPT OF REAL ANALYSIS
The purpose of this research is to describe proil cognitive structure of students in understanding the concept of real analysis. This research is part of the research development of the theory of cognitive structure of students Mathematics Education Program at the University of Bengkulu. The results of this research are: 1)there are seven models decompositions of genetic students mathematics education reviewed based on the SRP Model about the concepts of Real Analysis namely Pra-Intra Level, Level intra, Level semi-inter, Level inter, Level semi-trans, Trans Level, level and Extended -Trans (only theoretic level while empirically not found); 2) There are six models decompositions of genetic students mathematics education reviewed based on KA about the concepts of Real Analysis namely Level 0: Objects of concrete steps; Level 1: Models Semi-concrete steps; Level 2: Models Theoretic; Level 3: Language in Domain Example; Level 4: Mathematical Language; Level 5: Inferensi Model. Profile of cognitive structure of mathematics education student at the University of Bengkulu is 6.25% Students located on the Basic Level (Pra-Intra Level with concrete objects), there is 8.75% Students located at Level 0 (intra Level with concrete objects), there are 15,00% Students located at Level 1 (semi-Level inter with Semi-Concrete Model), there are 33.75 percent students located on Level 2 (Level inter with theoretical model), there are 22.50 percent students located at Level 3 (Semi-trans Level with the Bible in Domain example), there are located on the student percent during the Level 4 (Trans Level with the language of Mathematics), and there are 0 percent students located at Level 5 (Level Extended -Trans with Inferensi Model). Students Education Mathematics at the University of Bengkulu pembangunnya element is functional can achieve Trans Level, students will be able to set up activities and make the algorithm that formed the concept/principles with the right. Functional students can also perform the process of abstraction using the rules in a system of mathematics.