This case study introduces the use of the National Center for Education Statistics (NCES) publicly available data for linear regression. Our case uses an example of exploring the relationship between Advanced Placement (AP) course-taking, while in high school, on student science, technology, engineering, and mathematics grades upon enrolment to…

Discourse analysis usually focuses on oral discourse, what people say within a classroom setting. The goal of this study was to show that methodologies that would normally be used in English/language arts classes could also be used in mathematics classes. In this case study, the basic methods of discourse analysis are used to examine adolescents'…

While researchers have documented the promise of detracking reform, many teachers still find it difficult to teach students with a wide range of academic skills in one classroom. Through engaging classroom footage and powerful interviews with teachers, students, and administrators, this 80-minute DVD showcases best practices from successful…

Looking beyond the right or wrong answer is imperative to the development of effective educational environments conducive to Pre-AP work in math. This presentation explores a system of evaluation in math that provides a personalized, student-reflective model correlated to consortia-based assessment. Using examples of students' work that includes…

Described is a computer program that uses an interesting matrix method to generate Pythagorean triples. Program listings and output for two programs are included. (MNS)

Reported are several attempts to approximate Pi by using a microcomputer to calculate the ratio of the perimeter to the diameter of regular polygons enscribed in a circle. Three computer programs are listed. (MNS)

This material was prepared to help students understand the algebraic process involved in solving mixture problems. The paper copy is designed to be used with a 25-minute audiotape. Students are given a problem which is solved step by step; then they are to answer questions about each step. (MNS)

Given is an example of the solution of maximum-minimum problems by replacing differentiation techniques with microcomputers and simple BASIC programs. (MNS)

Two different numerical methods, the bisection method and simple iteration, are discussed and illustrated by approximating the real solution of an equation, with programs for the two methods included. Alternative methods are also indicated. (MNS)

Four masters suitable for copying are given for models of solids: half-cube, square based oblique pyramid, irregular hexahedron, and square based right pyramid. Suggestions for the teacher are included. (MNS)

An unusual shape is considered, and properties and steps in drawing it are detailed. The focus is on development and presentation of a computer program that will draw the curve. The program is written in BASIC with special plotting commands for a Techtronix computer, but is adaptable to other systems. (MP)

A description is given of work with geometry students in Weston, Massachusetts. They were aided in thinking like geometers, with a curriculum based on conjecturing and problem posing, using the Geometric Supposer series of computer programs. (MNS)

A method of using microcomputers to teach polar coordinates and graphing is described. Two computer programs plus illustrations are included. (MNS)

Almost-Regular Polygons (ARPs) are viewed as interesting, but hardly ever noticed. The growing availability of computers means that such figures can be examined. A program written in BASIC which was developed to generate and test large blocks of cases is presented and described. (MP)

Presented is a computer program written in BASIC that covers round-robin schedules for team matches in competitions. The program was originally created to help teams in a tennis league play one match against every other team. Part of the creation of the program involved use of modulo arithmetic. (MP)