Despite advances in software development, symmetry-related topics are among the most important yet confusing concepts in crystallography training for chemistry students who routinely use small-molecule crystallography in their scientific study. The case-based learning approach is very effective in stimulating students' interests in self-exploring…

Art is a special tool for mathematics education. Many artists have used mathematics and geometry in their artworks. This study aims to examine M.C. Escher's drawings with creative drama in the light of transformation geometry. In this study, the explanatory sequential was chosen from the mixed-method designs. Quantitative data of the study were…

In this paper, a teaching path on non-Euclidean geometry focused on the Poincare-disk model, and its connection with art is shown. We consider as artistic contents the Escher's hyperbolic art and some paradoxes on Magriue's work. The mathematical aspects are illustrated thanks to a Dynamic Geometry System (GeoGebra) implemented with a laboratory…

Investigations into the etiology of autism spectrum disorders have been largely confined to two realms: variations in DNA sequence and somatic developmental exposures. Here we suggest a third route--disruption of the germline epigenome induced by exogenous toxicants during a parent's gamete development. Similar to cases of germline mutation, these…

This article describes the perspectives of bidialectal African American adolescents--adolescents who speak both African American Vernacular English (AAVE) and Standard English--on spoken language expectations in their English classes. Previous research has demonstrated that many teachers hold negative views of AAVE, but existing scholarship has…

In this study, it is explained how to use Escher's tessellations in teaching group concept which is one of the most abstract concepts in mathematics. MC Escher's monohedral tessellations provide detailed study in an undergraduate course in abstract algebra. This study attempts to provide useful visual references for the students on learning some…

The author has always loved teaching a lesson on self-portraits to her eighth-grade students. Portraits raise the bar and, when they are successful, convince the students that they really can draw. Each year they explore the basic concepts of portraiture, but use different media, sizes and styles. The author likes to interject art history and…

This reprinted "Mathematics Teacher" article gives a brief history of the mathematics of Escher's art. (Contains 9 plates.)

There is no denying that human hands throughout art history have been alluring subjects for artists. Think of Michelangelo's portrayal of God and Adam's graceful hands on the Sistine Chapel ceiling, reaching out longingly to each other. In German Expressionist artist Egon Schiele's portraits, the long, bony fingers of his models' hands seem to…

This book looks at how particular video and computer games--such as "Digital Zoo", "The Pandora Project", "SodaConstructor", and more--can help teach children and students to think like doctors, lawyers, engineers, urban planners, journalists, and other professionals. In the process, new "smart games" will give them the knowledge and skills they…

With a renewed planning process Catholic higher education can withstand the tide of development our society is experiencing. (RK)

The seventh- and eight-grade students in the author's art program sharpened up their eyesight and their use of color charts in preparation for an op art project. Op art is short for "optical patterns and designs." The goal of the project is to create and organize line and color into shapes, patterns, and design in symmetrical and asymmetrical…

Uses the biography and work of M. C. Escher to introduce a unit on art history. Tells about Escher's influence not only on artists, but also on mathematicians and physicists. Outlines a student project in which students employed one of these themes: impossible geometry, rotating symmetry, or geometry. (DSK)

This Catholic college for women in St. Joseph, Minnesota, is adopting components of systematic institutional development in its planning and budgeting. Four programs are integrated: institutional research, the management information system, management development, and management planning. (LBH)

Describes how the art of Maurits Escher can be used in physical science and general chemistry classes. A film depicting Escher at work in creating a woodcut and a set of slides are shown to college students. The students are encouraged to observe and record what they see. (HM)