College algebra is currently being taught using graphing calculators such as the TI-81. This document presents exploratory and problem solving activities that have resulted from classroom experiences with the TI-81. The activities have been designed to enhance the learning of some standard college algebra topics through the easy access to…

This textbook was designed for a first course in differential and integral calculus, and is directed toward students in engineering, the sciences, mathematics, and computer science. Its major goal is to bring students to a level of technical competence and intuitive understanding of calculus that is adequate for applying the subject to real world…

This bibliography lists reports of research on problem solving in mathematics, with specific regard to experiments, correlations, and other regional studies. The listing supports a research integration, performed by meta-analysis at Adrian College, Michigan, in 1989-1990. Guidelines for including studies were applied as follows: (1) the study…

An analysis of the current condition and trends in United States undergraduate education in the sciences, mathematics, and engineering is provided in this report. It contains suggestions for actions to be undertaken by academic institutions, the States, federal agencies, the private sector, and the National Science Foundation (NSF) and reflects…

The realization that the areas of second language and mathematics education share some common features and that educators in these fields may profit by an exposure to research and practice in both fields motivated the production of this paper. From an introduction to the literature, parallels in the history of the two disciplines were recognized:…

These conference proceedings include three invited lectures, a panel discussion, three working group reports, two reports from topic groups and a participant list. The invited lectures include a discussion of the impact of calculators on the calculus curriculum (Herbert S. Wilf); a consideration of the role of misconceptions in learning…

This bibliography identifies reports of research on the nature, effects, and relief of mathematics anxiety. The listing was developed for a synthesis of research performed by meta-analysis at Adrian College, Michigan. Guidelines for including studies were applied as follows: (1) the study provided product-moment correlation coefficients and their…

This study involved a literature review aimed at identifying: some of the significant causes and correlates of mathematics anxiety, significant treatments of mathematics anxiety, and significant methods of prevention of mathematics anxiety. The annotated bibliography is structured under these three headings. Three categories of correlates of math…

This guide is designed for the college instructor who plans to use some of the 12 units of the Mathematics-Methods Program. The program is based on three assumptions about the teaching and learning of mathematics: (1) Mathematics content and methods should be combined in the training of prospective elementary school teachers; (2) Mathematics…

Presented are the following reports: (1) Math Anxiety: Real and Complex; (2) Math Anxiety and Middle School Students; (3) Math Anxiety and College Freshmen; (4) Math Anxiety and Elementary Teachers; and (5) Math Anxiety: Conclusions, Discussions, and Remedies. The studies attempt to answer questions regarding mathematics anxiety: (1) what is it,…

Ten research reports related to mathematics education are abstracted and analyzed. Five of the reports deal with aspects of mathematics instructional practices, four with areas of learning theory, and one with student achievement. Research related to mathematics education which was reported in RIE and CIJE between July and September 1980 is…

The uses of verbal rules in solving arithmetic problems are presented. Thirty-six problems were used in individual testing of five students who were enrolled in a remedial mathematics course at a community college. Two or three weeks prior to the individual exams, the students had been tested in their class on the material. The study indicated…

Freshmen placed into the second or third quarter of the first year calculus sequence at the University of Washington were studied. Two major findings were: freshmen eligible for advanced placement earned mean mathematics Grade Point Averages (GPAs) which were quite high; and advanced placement students earned mean mathematics GPAs substantially…

Several methods of teaching college-level mathematics sequences are examined for their advantages, disadvantages, and costs. Materials considered include textbooks, film sequences, videotaped lectures, and individualized teaching machines. (SD)

Reviews for three software packages are given. Those packages are: Linear Algebra Computer Companion; Probability and Statistics Demonstrations and Tutorials; and Math Utilities: CURVES, SURFS, AND DIFFS. (PK)