In course design, topic outline organization encompasses the structuring and sequencing of topics to be delivered in a learning environment. Recent studies in topic outline optimization revolve around massive open online courses (MOOCs) due to their abundance but not much has been studied on the traditional courses. This study investigates the…

Four different types of problems from graph theory are presented and discussed. (MK)

This reprint of a Project Solo curriculum module discusses graphing by computer, gives an example of a BASIC program used to graph a second degree polynomial, and provides suggested exercises in programing. (MK)

A visual problem-solving technique applicable to several different classes of mechanics time-dependent problems is discussed. The computer is used to solve the equations of motion of various mechanical systems by one of several standard methods, and the solutions are displayed in time increments. A specific example is provided to illustrate this…

Presents a scenario in which two people solve a programming problem by discussing various number sequences and functions. The problem is redefined as one related to number theory and operations research. (DDR)

Described is computational geometry which used concepts and results from classical geometry, topology, combinatorics, as well as standard algorithmic techniques such as sorting and searching, graph manipulations, and linear programing. Also included are special techniques and paradigms. (KR)

This yearbook provides the mathematics education community with specific perceptions about discrete mathematics concerning its importance, its composition at various grade levels, and ideas about how to teach it. Many practical suggestions with respect to the implementation of a discrete mathematics school program are included. A unifying thread…

Investigates techniques for automatic classification of book material focusing on: computer-based surrogation of monographic material, book surrogate clustering on basis of content association, evaluation of resultant classifications. Test collection (250 books) is described with surrogation by means of back-of-the-book index, table of contents,…

This article, which is organized around a single, well-known algorithm for root extraction, presents a way of incorporating dynamical systems into the teaching of mathematics. Included are sample exercises using complex numbers and the computer where students have the opportunity to do some analysis on this algorithm. (KR)

The article considers the problem of how to plot on the computer screen a circle with center (A,B) and radius R. Several different procedures are discussed and compared. (PK)