论文标题
Vector Fields和Paul Klee-一门暑期学校课程适用于有天赋的高中生
Vector Fields and Paul Klee -- A Summer School Course for gifted High-School Students
论文作者
论文摘要
艺术家保罗·克莱(Paul Klee)在他的书《pädagogischesskizzenbuch》中描述并分析了他对符号和颜色的使用(教学素描本,1925年)。他使用箭头进行插图手段,并讨论箭头本身是他符号曲目的元素。有趣的是,他对箭头的观点与图形表示向量字段的方式相匹配。基于数学和Klee的艺术品的这种联系,我们为有才华的高中生开发了一个概念。其目的是将参与者介绍到高级数学上,并让他们创建与Paul Klee和Vector Fields艺术有关的艺术品。本文详细阐述了克莱的艺术与数学之间的联系。此外,它还介绍了夏季课程的详细信息以及对其目标的评估,包括参与学生的作品。
The artist Paul Klee describes and analyzes his use of symbols and colors in his book "Pädagogisches Skizzenbuch" (pedagogical sketchbook, 1925). He uses arrows for means of illustrations and also discusses the arrow itself as an element of his repertoire of symbols. Interestingly, his point of view on arrows matches the way in which vector fields are represented graphically. Based on this connection of mathematics and Klee's artwork, we developed a concept for a summer school course for gifted high-school students. Its aim was to both introduce the participants to higher-level mathematics and to let them create their own piece of artwork related to the art of Paul Klee and vector fields. This article elaborates on the connection between Klee's art and mathematics. It furthermore presents details of the summer course and an evaluation of its goals, including resulting artwork from participating students.