{"title":"文物教数学。三角函数的意义构造","authors":"A. Serpe, M. G. Frassia","doi":"10.1478/AAPP.99S1A15","DOIUrl":null,"url":null,"abstract":"Trigonometry is an area of the high school mathematics curriculum strictly related to algebraic, geometric, and graphical reasoning. In spite of its importance to both high school and advanced mathematics, research has shown that trigonometry remains a difficult topic for both students and teachers. A new approach the teaching of trigonometry – calibrated for the 21 st century - opens the question of the place and nature of trigonometry in contemporary high school mathematics. In this prospective, the authors have carried out a study aimed at explaining connections between research and teaching practice of trigonometric functions emphasizing conceptual understanding, multiple representation and connections, mathematical modelling, and mathematical problem-solving. This paper shows a teaching approach for meaning construction of trigonometric functions with the aid of technological artefacts.","PeriodicalId":43431,"journal":{"name":"Atti Accademia Peloritana dei Pericolanti-Classe di Scienze Fisiche Matematiche e Naturali","volume":null,"pages":null},"PeriodicalIF":0.6000,"publicationDate":"2021-09-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"Artefacts teach-math. the meaning construction of trigonometric functions\",\"authors\":\"A. Serpe, M. G. Frassia\",\"doi\":\"10.1478/AAPP.99S1A15\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Trigonometry is an area of the high school mathematics curriculum strictly related to algebraic, geometric, and graphical reasoning. In spite of its importance to both high school and advanced mathematics, research has shown that trigonometry remains a difficult topic for both students and teachers. A new approach the teaching of trigonometry – calibrated for the 21 st century - opens the question of the place and nature of trigonometry in contemporary high school mathematics. In this prospective, the authors have carried out a study aimed at explaining connections between research and teaching practice of trigonometric functions emphasizing conceptual understanding, multiple representation and connections, mathematical modelling, and mathematical problem-solving. This paper shows a teaching approach for meaning construction of trigonometric functions with the aid of technological artefacts.\",\"PeriodicalId\":43431,\"journal\":{\"name\":\"Atti Accademia Peloritana dei Pericolanti-Classe di Scienze Fisiche Matematiche e Naturali\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.6000,\"publicationDate\":\"2021-09-30\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Atti Accademia Peloritana dei Pericolanti-Classe di Scienze Fisiche Matematiche e Naturali\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1478/AAPP.99S1A15\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"MULTIDISCIPLINARY SCIENCES\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Atti Accademia Peloritana dei Pericolanti-Classe di Scienze Fisiche Matematiche e Naturali","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1478/AAPP.99S1A15","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MULTIDISCIPLINARY SCIENCES","Score":null,"Total":0}
Artefacts teach-math. the meaning construction of trigonometric functions
Trigonometry is an area of the high school mathematics curriculum strictly related to algebraic, geometric, and graphical reasoning. In spite of its importance to both high school and advanced mathematics, research has shown that trigonometry remains a difficult topic for both students and teachers. A new approach the teaching of trigonometry – calibrated for the 21 st century - opens the question of the place and nature of trigonometry in contemporary high school mathematics. In this prospective, the authors have carried out a study aimed at explaining connections between research and teaching practice of trigonometric functions emphasizing conceptual understanding, multiple representation and connections, mathematical modelling, and mathematical problem-solving. This paper shows a teaching approach for meaning construction of trigonometric functions with the aid of technological artefacts.
期刊介绍：
This journal is of a multi- and inter-disciplinary nature and covers a broad range of fields including mathematics, computer science, physics, chemistry, biology, earth sciences, and their intersection. History of science is also included within the topics addressed by the journal. The transactions of the Pelorian Academy started out as periodic news sheets containing the notes presented by the members of the Divisions into which the Academy has been and still is organized, according to subject areas. The publication of these notes for the Division (“Classe”) of Mathematical, Physical and Natural Sciences is the responsibility of the Editorial Committee, which is composed of the Director of the division with the role of Chairman, the Vice-Director, the Secretary and two or more other members. Besides original research articles, the journal also accepts texts from conferences and invited talks held in the Academy. These contributions are published in a different section of the journal. In addition to the regular issues, single monographic supplements are occasionally published which assemble reports and communications presented at congresses, symposia, seminars, study meetings and other scientific events organized by the Academy or under its patronage. Since 2004 these transactions have been published online in the form of an open access electronic journal.
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