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Islamic art not only demonstrates the symbolic significance of geometric forms and their psychological, social, religious, and aesthetic functions. In addition to these purposes, Islamic art also demonstrates symmetry. Symmetry's appeal is well-known: babies tend to favor faces with symmetrical features over those with lop-sided noses or askew eyes. Although absolute symmetry is by no means a prerequisite for beauty, symmetry is usually perceived with pleasure. The Spirograph forms, explicated by Karin Deck, are sublimely symmetrical.
Spirograph hypotrochoids and epitrocoids illustrate the value of symmetry in aesthetics and they also demonstrate the prevalence of mathematics in visual art. While Spirograph patterns may not normally be considered fine art, they are nevertheless pleasing to the eye as well as the mind. Their symmetry no doubt contributes to their aesthetic appeal but Spirograph trochoids, like Islamic friezes, draw order out of chaos and reveal the prevalence of patterns throughout the universe. Moreover, Spirograph patterns illustrate the potential of mathematics to...
Spirographs are essentially idealized: their forms may not be apparent anywhere in nature but their formulas remain true, orderly, natural, and universal.
Mathematics is neither impractical nor dry. The real-world application of mathematics can demonstrate more than financial data; mathematics can explain why the frieze patterns in the Alhambra prove mesmerizing and can help a graphic designer to replicate those patterns on a smaller or larger scale. Add color to the pattern and the mathematician can create flowers as outstanding as the rose.
References
Abas, S.J. And AS Salman: Symmetries of Islamic Geometrical Patterns. Symmetry in Ethnomathematics 12(1-2). Retrieved July 29, 2006 at http://www.ethnomath.org/resources/abas2001.pdf
Deck, K. Spirograph Math. Humanistic Mathematics Journal March 1999, Vol.19, p13-17. Retrieved July 29, 2006 at http://web.stcloudstate.edu/szkeith/index11.html
Patterns, Order, and Chaos."
Mathematics in Digital Photography The advances in both digital photography and computing have allowed more detailed and complex images to be shown on more realistic media than was ever previously possible. Through the use of more specialized equipment and digital imaging techniques the resulting photos of even the most novice user today can rival those of professionals from years before. This level of photographic precision could never have been achieved were
if, as Halmos suggests, math is a creative art then math must also be the handmaid of science. Describing mathematics as a creative art helps students of math better understand the true roles of the mathematician. Numbers, while in many ways central to the art of math, do not comprise the whole lexicon of mathology. Mathematics does stem from "sheer pure intellectual curiosity," enabling students to perceive the world through
Balacheff (1987) described four levels of justification, which are those as follows: (1) Native empiricism; 2) Crucial experiment; 3) Generic example; and 4) Thought experiment. (Taflin, nd) Naive empiricism is stated to be "an assertion based on a small number of cases." (Taflin, nd) Crucial experiment is stated to be "an assertion based on a particular case, but the case was used as an example of a class of objects." (Taflin, nd) the
Mathematics is closely connected to economics, commerce and business modelling, as well as systems for military weapons. Due to the widespread of its use, it was noted that students in the U.S. were beginning to perform a little worse in mathematics than children from other countries worldwide. Mathematical knowledge among citizens was considered a very important factor for a country to be a leading world power. Assessment activities have been
Mathematics Concepts in Profession Mathematics Concepts in the Teaching Profession Mathematical concepts in professions My Profession and Applicable Math Concepts Mathematics is a branch of knowledge dealing with scientific notions of logical qualitative and quantitative arrangements. It extensively covers different aspects as well as having several subdivisions. It is a tool specially designed to handle and implement relative concepts, regardless of the kind of situational problem presented. Alongside the concepts, mathematics uses invented formulas
Mathematics a) Spreadsheet Data Analysis b) State hypotheses: Ho: Type of soft drink and resident are independent. (null hypothesis) Ha: Type of soft drink and resident are not independent. (alternate hypothesis) c) Conduct chi-square test of independence at 0.05 significance level: = 0.05 d) Calculate degrees of freedom: Number of rows = 2, Number of columns = 2 Degrees of freedom (df) = (Number of rows - 1) x (Number of columns - 1) = (2-1)(2-1)