Domain Coloring and the Argument Principle

Abstract

The domain-coloring algorithm allows us to visualize complex-valued functions on the plane in a single image—an alternative to before-and-after mapping diagrams. It helps us see when a function is analytic and aids in understanding contour integrals. The culmination of this article is a visual discovery and subsequent proof of the Argument Principle, which relates the count of poles and zeros of a meromorphic function inside a contour to the accumulated change in argument of the function around the contour. Throughout, I offer connections to standard learning goals of courses in complex variables.     

Mini-languages: a way to learn programming principles

Mini-languages are a visually intuitive, simple and powerful way to introduce students to programming. They are a good foundation for general computer science instruction, provide insight into programming for the general population, and teach algorithmic thinking. The goal of the paper is to provide an extensive review of the mini-language approach to teaching programming. For different audiences and in different countries, the authors have extensive experience in design and application of mini-languages. We outline the problems that motivate the application of this approach, present a brief history, review several existing mini-languages, and provide discussion of lessons learned. In particular, we discuss how to choose a mini-language for a particular group of students and list some requirements for a successful application of a mini- language. We conclude with a discussion of possible future directions of the mini-language approach development     

Supplemental instruction in introductory biology I: enhancing the performance and retention of underrepresented minority students

Supplemental instruction classes have been shown in many studies to enhance performance in the supported courses and even to improve graduation rates. Generally, there has been little evidence of a differential impact on students from different ethnic/racial backgrounds. At San Francisco State University, however, supplemental instruction in the Introductory Biology I class is associated with even more dramatic gains among students from underrepresented minority populations than the gains found among their peers. These gains do not seem to be the product of better students availing themselves of supplemental instruction or other outside factors. The Introductory Biology I class consists of a team-taught lecture component, taught in a large lecture classroom, and a laboratory component where students participate in smaller lab sections. Students are expected to master an understanding of basic concepts, content, and vocabulary in biology as well as gain laboratory investigation skills and experience applying scientific methodology. In this context, supplemental instruction classes are cooperative learning environments where students participate in learning activities that complement the course material, focusing on student misconceptions and difficulties, construction of a scaffolded knowledge base, applications involving problem solving, and articulation of constructs with peers.     

The dyadic nature of bullying and victimization: testing a dual-perspective theory

For this study, information on Who Bullies Who was collected from 54 school classes with 918 children (M age = 11) and 13,606 dyadic relations. Bullying and victimization were viewed separately from the point of view of the bully and the victim. The two perspectives were highly complementary. The probability of a bully-victim relationship was higher if the bully was more dominant than the victim, and if the victim was more vulnerable than the bully and more rejected by the class. In a bully-victim dyad, boys were more often the bullies. There was no finding of sex effect for victimization. Liking reduced and disliking increased the probability of a bully-victim relationship.     

Bridging Research and Practice: How Sales Training Can Contribute to New Product Launch Success

This study demonstrates how academicians and practitioners can work together on an important topic that matters to organizational performance: the pivotal role played by salespeople during new product launches. In particular, the authors present three potential interventions that training and sales managers may use to sell a new product to salespeople. The results legitimatize the critical contribution of sales training to new product sales performance and highlight the value of the partnership between training professionals and sales managers.     

Direct memberships in foreign copyright collecting societies as an entrepreneurial opportunity for music publishers – needs,challenges, opportunities and solutions

Journal of Cultural Economics - In the competitive, increasingly international music business, publishers are developing new ways to increase effectiveness and efficiency of the monetization of the...     

A Symbiosis of Access: Proliferating STEM PhD Training in the U.S. from 1920–2010

Minerva - Over the course of the 20th century, unprecedented growth in scientific discovery was fueled by broad growth in the number of university-based scientists. During this period the American...