A nonconventional graphical way to represent functions (the Parallel Axes Representation) is discussed. A computerized environment designed to support the exploration of the representation of linear functions is described. The didactical potential of this representation is illustrated. (CW)

This document, an extensive revision of the original "Guidelines," was prepared by the National Council of Teachers of Mathematics (NCTM)'s Commission on the Education of Teachers of Mathematics. It represents the current thought of the mathematics and mathematics education communities on the preparation of teachers of mathematics. Its developers…

Appropriate uses for graphics calculators in precalculus and calculus are discussed. The functions of Casio, Sharp, and Hewlett-Packard brand calculators are stressed. A "Stress Test" for graphics calculators designed to illustrate common errors and to furnish examples of tasks which cannot be completed on these instruments is provided.…

The results of a simulation model of a queuing system are reported. Use in an introductory quantitative analysis course to enhance students' computer and quantitative modeling knowledge is described. (CW)

Discusses curriculum changes necessary to use technology in an introductory statistics course, including outline of the curriculum, grading, use of statistical software, relevance to current events, use of writing, objectives, working in teams, data summary, data analysis, and exams. (MKR)

As part of a cross-disciplinary project to develop interactive, multimedia college instruction, a mathematics team developed a hypertext version of an existing textbook and created seven modules in basic calculus. Lessons and principles learned about courseware development are presented here to help faculty without previous software experience to…

Recommending goals and standards to improve mathematics education at the two-year college and lower-division levels, this report focuses on core content themes for developmental mathematics, associate in applied science, and baccalaureate intending programs. Following introductory sections, chapter 2 describes the CORE, or common content themes…

It is argued that course content should be specified as explicitly as possible in terms of what is expected of the student in the future. Four levels of details are addressed: (1) customary course objectives; (2) behavioral questions; (3) behavioral objectives; and (4) exams. The report described the Statistical Test Item Collection System…

Mathematics contests, such as the American Mathematical Association of Two-Year Colleges' Student Mathematics League competition, are an excellent vehicle for identifying talented students and promoting mathematics scholarship. On-campus tournaments can supplement the Student Mathematics League national competition, by providing immediate feedback…

Suggested are features which should be considered before selecting a specific interactive graphics package. Features that allow for accurate estimates of roots of functions and solutions to systems of equations are illustrated. Six graphics packages are compared including display, tabular options, misleading graphics, printing options, functions…

This user manual describes procedures for using Version 3.0 Computerized Placement Tests (CPTs) software and provides information about the hardware required to operate it. The software features the College-Level Mathematics (CLM) test, Seamless Serial Testing branching capabilities, new system installation and uninstallation procedures, and new…

This document contains overviews of current research, insights from teachers and tutors, and considerations of such issues as metacognition, choice of operations, and the testing of problem-solving skills. Papers include: (1) "Historical Perspectives on Problem Solving in the Mathematics Curriculum" (George M. A. Stanic and Jeremy…

Addressed to two-year college professionals responsible for staffing and evaluating mathematics programs and university personnel responsible for programs that prepare college mathematics teachers, this document provides recommendations for training effective community college mathematics faculty adopted by the American Mathematical Association of…

The emphasis on writing in the teaching of mathematics and science can empower teachers to reach all sectors of the pupil population. The use of ordinary language can help break the cultural barriers that have prevented minorities and women from achieving well in proportionate numbers in these fields. This volume focuses on pedagogical issues of…

These joint statements by the Academic Senates of the California Community Colleges, the California State University, and the University of California address the concern that students are underprepared for college-level work. First, "Statement on Competencies in English and Mathematics Expected of Entering Freshmen," which was prepared…