从数学教育看三角概念在机电工程中的应用

Diana del Carmen Torres-Corrales, Gisela Montiel-Espinosa
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引用次数: 1

摘要

从社会认识论理论来看,我们提出,即使在工程学校课程中提出了课程衔接,也存在数学知识使用的脱节,这在学生参加专业课程时表现得更加突出。我们提出的研究问题是:当学生解决机器人问题时,机电一体化工程中三角概念的用途是什么?我们将社会认识论理论与民族志方法相结合,在他们的文化框架中识别和表征他们。通过对墨西哥一所大学机电一体化工程社区的研究和工业机器人学科的直接运动学问题的界定,我们认为三角函数概念被赋予了算术、度量、定量和代数的用途,并且通过它们,三角函数在视觉参考的构建的帮助下获得了更多的意义,这些参考允许完成数学建模。并且我们在伪具体模型(绘图和运动学方案)中认识到三角函数作为机器人工具的原因:确定圆或圆形扇形中的位置。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Characterization of uses of trigonometric notions in Mechatronics Engineering from Mathematics Education
From the Socioepistemological Theory we propose that even with the curricular articulation presented in school programs of Engineering it exists a disarticulation of uses of mathematical knowledge, this is displayed more emphatically when a student takes professionalizing courses. We proposed the research question of: what uses of trigonometric notions are given in Mechatronics Engineering when students solve problems in Robotics? we use the Socioepistemological Theory in tandem with the ethnographic method to identify and characterize them in their cultural framework. By the delimitation of the study to a community of Mechatronics Engineering in a Mexican university and the direct kinematics problem in the subject of Industrial Robotics, we characterize that trigonometric notions are given an arithmetic, metric, quantitative and algebraic usage, and by them, the Trigonometry acquires more significates aided by the construction of visual references that allow the mathematical modelling that was done, and from which we recognize in the pseudo-concrete models (drawing and kinematic schemes) the reason to be for Trigonometry as a tool for Robotics: the determination of the position in a circle or circular sector.
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