{"title":"自学的知识需要自学的知识","authors":"A. Möller, Benjamin Rott","doi":"10.37626/ga9783959871143.0.11","DOIUrl":null,"url":null,"abstract":"The concept of the perpendicular bisector is analysed with a didactical view and different opportunities of definitions are discussed. After that we focus on the implementation in the classroom. Therefore, we look at the definition used in schoolbook but also the previous knowledge of children around the perpendicular bisector. Finally, written explanations of seventh-graders show how they argue with the concept of the perpendicular bisector. Classification: D70, E50, U20. Keywords: geometry, perpendicular bisector, mathematics education.","PeriodicalId":334510,"journal":{"name":"Auch wenn A falsch ist, kann B wahr sein. Was wir aus Fehlern lernen können","volume":"8 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Die Mittelsenkrechte – stoffdidaktische Analyse und Bezüge zum Unterricht\",\"authors\":\"A. Möller, Benjamin Rott\",\"doi\":\"10.37626/ga9783959871143.0.11\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The concept of the perpendicular bisector is analysed with a didactical view and different opportunities of definitions are discussed. After that we focus on the implementation in the classroom. Therefore, we look at the definition used in schoolbook but also the previous knowledge of children around the perpendicular bisector. Finally, written explanations of seventh-graders show how they argue with the concept of the perpendicular bisector. Classification: D70, E50, U20. Keywords: geometry, perpendicular bisector, mathematics education.\",\"PeriodicalId\":334510,\"journal\":{\"name\":\"Auch wenn A falsch ist, kann B wahr sein. Was wir aus Fehlern lernen können\",\"volume\":\"8 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1900-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Auch wenn A falsch ist, kann B wahr sein. Was wir aus Fehlern lernen können\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.37626/ga9783959871143.0.11\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Auch wenn A falsch ist, kann B wahr sein. Was wir aus Fehlern lernen können","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.37626/ga9783959871143.0.11","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Die Mittelsenkrechte – stoffdidaktische Analyse und Bezüge zum Unterricht
The concept of the perpendicular bisector is analysed with a didactical view and different opportunities of definitions are discussed. After that we focus on the implementation in the classroom. Therefore, we look at the definition used in schoolbook but also the previous knowledge of children around the perpendicular bisector. Finally, written explanations of seventh-graders show how they argue with the concept of the perpendicular bisector. Classification: D70, E50, U20. Keywords: geometry, perpendicular bisector, mathematics education.