文物教数学。三角函数的意义构造

IF 0.6 Q3 MULTIDISCIPLINARY SCIENCES

Atti Accademia Peloritana dei Pericolanti-Classe di Scienze Fisiche Matematiche e Naturali Pub Date : 2021-09-30 DOI:10.1478/AAPP.99S1A15

A. Serpe, M. G. Frassia

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引用次数: 2

摘要

三角学是高中数学课程中与代数、几何和图形推理紧密相关的一个领域。尽管它对高中数学和高等数学都很重要，但研究表明，三角函数对学生和教师来说仍然是一个困难的话题。一种面向21世纪的三角教学新方法，提出了三角在当代高中数学中的地位和性质问题。有鉴于此，作者开展了一项研究，旨在解释三角函数研究与教学实践之间的联系，强调概念理解、多重表示和联系、数学建模和数学解决问题。本文提出了一种利用技术人工制品进行三角函数意义建构的教学方法。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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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.

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来源期刊

Atti Accademia Peloritana dei Pericolanti-Classe di Scienze Fisiche Matematiche e Naturali MULTIDISCIPLINARY SCIENCES-

CiteScore

3.80

自引率

0.00%

发文量

审稿时长

31 weeks

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.