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Full-Text Articles in Mathematics
Visual Teaching Of Geometry And The Origins Of 20th Century Abstract Art, Stephen Luecking
Visual Teaching Of Geometry And The Origins Of 20th Century Abstract Art, Stephen Luecking
Journal of Humanistic Mathematics
As a group, the artists educated near the turn of the 19th and 20th centuries possessed greater mathematical knowledge than expected of artists today, especially regarding constructive skills in Euclidean geometry. Educational theory of the time stressed such skills for students in general, who needed these to enter the workplace of the time. Mathematics teaching then stressed the use of manipulatives, i.e., visual and interactive aids thought to better fix the student’s acquisition of mathematical skills. This visual training, especially in geometry, significantly affected the early development of abstraction in art. This paper presents examples of this visual …
Parametric Natura Morta, Maria C. Mannone
Parametric Natura Morta, Maria C. Mannone
The STEAM Journal
Parametric equations can also be used to draw fruits, shells, and a cornucopia of a mathematical still life. Simple mathematics allows the creation of a variety of shapes and visual artworks, and it can also constitute a pedagogical tool for students.
Cartegory Theory: Framing Aesthetics Of Mathematics, Maria Mannone
Cartegory Theory: Framing Aesthetics Of Mathematics, Maria Mannone
Journal of Humanistic Mathematics
Mathematics can help investigate hidden patterns and structures in music and visual arts. Also, math in and of itself possesses an intrinsic beauty. We can explore such a specific beauty through the comparison of objects and processes in math with objects and processes in the arts. Recent experimental studies investigate the aesthetics of mathematical proofs compared to those of music. We can contextualize these studies within the framework of category theory applied to the arts (cARTegory theory), thanks to the helpfulness of categories for the analysis of transformations and transformations of transformations. This approach can be effective for the pedagogy …