# Bruce S. Elenbogen

• SIGCSE
• 1988
Recursion has traditionally been a difficult concept for students to understand, both as a control structure and as an analytical tool. This paper explores recursion using Prolog (whose predominate control structure is recursion) and through fractals which possess a visually recursive form. We discuss several simple Turbo Prolog programs which demonstrate(More)
This paper discusses a non-traditional course in computer networking. The course is a laboratory course with substantial hands-on experiences, which can help to prepare students for jobs in industry as soon as they graduate from an undergraduate institution. This course is not meant to replace the traditional network course but to supplement it by teaching(More)
• Discrete Applied Mathematics
• 2007
The Wiener polynomial of a graph G is a generating function for the distance distribution dd(G) = (D1,D2, . . . , Dt ), where Di is the number of unordered pairs of distinct vertices at distance i from one another and t is the diameter of G. We use the Wiener polynomial and several related generating functions to obtain generating functions for distance(More)
• SIGCSE
• 1987
Effects of operations on abstract data objects are often difficult for students to comprehend. Visual models can be helpful to students, when the connections among the data object models, virtual machine representations of data objects, and algorithms operating on the data objects are made clear to the students. This paper discusses the design criteria used(More)
Throughout the history of computer science education there has been debate on what should be the appropriate mathematics background for computer science majors. The first computer science instructors were mathematicians and the first curriculums were just modifications of mathematics curriculums. However, as the discipline has grown and matured there has(More)
• SIGCSE
• 2000
This paper describes a set of author developed interactive web exercises and a development environment designed to facilitate language acquisition in a beginning course in C++. The exercises test the students' understanding of several C++ language constructs as well as general programming concepts such as scope of variables. The environment allows students(More)
A generalized real-space renormalization scheme is developed for geometrical critical phenomena The renormalization group is parametrized by the standard length-scaling factor and a new redangular area-fraction factor. This rectangular renormalization scheme utilizes relatively small r e m g u l a r sublanices to effeaively renormalize large square(More)
Interactive applets for linear algebra have been developed at the University of Michigan– Dearborn to help students not only develop basic skills (for example, learning to produce matrices which manipulate other matrices), but also explore more advanced topics (discovering eigenvectors using visual feedback, and viewing 3-d objects through their Singular(More)