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- W593233685 abstract "One never knows where one will find inspiration. In the following article, I will discuss my attempts to use an artist’s critique group model to combat specific problematic behaviors in the teaching and learning of mathematics, particularly at the upper division level. In an effort to show the students producing disorganized work that it was truly possible for a student to create clean, readable, and beautiful work, I began searching for a way to share the best student products with all students in the class. This led me to create an electronic repository for the work produced by each student in the course that allowed all students to see each other’s work and my comments on that work. Ultimately, this structure fosters asynchronous cooperative learning. 1. Frustration as the Mother of Invention After slogging through years of homework produced by students in upper division mathematics courses such as algebraic structures, advanced linear algebra, and real analysis, I noticed a trend that intrigued me. Most, though not all, of the successful students prepared proofs that were easy to read and understand, with clean layout, making full and correct use of standard mathematical notation. Tellingly, none of the poorer performing students produced this kind of beautiful homework. It seemed obvious that the students with the greatest understanding of the material would have the time and/or inclination to produce beautiful homework, but I began to wonder if this was too simple an explanation. Could clean layout encourage clear thinking? Could something as simple as homework format be used to increase leaning? It seemed ridiculous to try to reverse engineer successful proof-writing with format, but I had a powerful secondary motivation. My own poor vision can make grading excruciating, so I was particularly interested in finding a way to impose format expectations that I could cloak under the mantle of enhanced student learning. I began by requiring that homework be written on only one side of each page and that problems not be broken over multiple pages. In exchange, I offered neatness and completeness points and bonus points on routine homework and exams. Some of my students began typing their homework. This made it much easier for me to read, but while they seemed to be benefiting too, the student effects were small. Nonetheless, I believed that I was on to something. I wondered if the students who produced sloppy work simply didn’t realize that it was possible to for students to create the kind of beautiful work that their peers produced. After all, no student necessarily sees the work of any other student. Over the next several years, I continued to encourage clean layout, but made little progress with how to achieve student interest in producing beautiful homework. As I was contemplating this issue in my teaching life, I began painting in oils in my personal life. In my professional life, I participated in the Viewpoints workshop held at Franklin & Marshall College in Bridges 2010: Mathematics, Music, Art, Architecture, Culture" @default.
- W593233685 created "2016-06-24" @default.
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- W593233685 date "2010-01-01" @default.
- W593233685 modified "2023-09-26" @default.
- W593233685 title "Beautiful Homework: The Artists' Critique Group in the Mathematics Classroom" @default.
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