Infinite series are known to be challenging for Calculus II students, perhaps because they lack intellectual need for the content. In their analysis of Calculus textbooks found few instances of potential intellectual needs for infinite series. This study combines a textbook analysis with interviews of four professors and observations of their…

Reported are results of a study of a sample of 259 students at the University of Massachusetts who scored low on a math placement test and later took precalculus math classes. Several possible conclusions are presented to explain the test results. A significantly higher percentage (p<.05) of a remedial sample (compared to a non-remedial sample)…

Students enrolled in two sections of college algebra (Math 110) at the University of Maryland in spring 1984 were informed about assistance available from the Math Lab. They were also informed that a sticker would be attached to any one of the four semester exams when grades indicated that the student should pursue one or more of the Lab services.…

Calculators are transforming mathematics instruction, freeing it from an arithmetic-driven curriculum. They have encouraged teachers to think more carefully about what is important to learn. Calculators should be used at all levels of instruction and on tests, including standardized exams. Meaningful educational reform depends on such a change.…

Within the next two decades, calculators will be standard tools in mathematics classrooms. They should be used regularly but carefully in classroom instruction and testing to allow use of realistic data and exploration of mathematical concepts, but not to allow finding the answer without understanding the question. (MSE)

Teaching the concept of integration differs depending on which of four perspectives is used to introduce the topic. Presents a method based on the historical development of the use of integration that introduces integral as antiderivative. Discusses examples of differential equations used in the development and ways to connect this to the other…

To gather information for its response to the issue whether to allow the use of hand-held calculators on standardized mathematics tests, the staff at Educational Testing Service (ETS), under the sponsorship of the College Board, developed a questionnaire to poll teachers of college-level mathematics about calculator and microcomputer use in…

Mathematics educators have led the educational reform movement in recent years. New curricula and innovative teaching methods are emerging in elementary and secondary programs, as illustrated by the work of the College Board, University of Chicago, University of California at Berkeley and San Francisco, and the National Science Foundation. (MSE)

The main purpose of this special issue is to suggest strategies for meeting the mathematical needs of two-year college students in the decade of the 1990s. Since the 20 contributors were free to write about topics that they considered to be appropriate to the intellectual and personal development of all students their papers represent a broad…

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…

This study evaluated the effectiveness of the curriculum for a remedial mathematics program administered as an audio-tutorial self-paced class at Lake Michigan College. Twelve variables were selected for analysis, including pretest scores, mathematics skills test scores, final grades, time spent, age, gender, and attitude from 247 students…

This is a narrative review of research in mathematics education reported during 1987. The purpose of this review is to extract from research reports ideas that may prove useful to school practitioners. Major sections are: (1) "Planning for Instruction" (relating historical developments, aides and grades, teaching approaches, problem…

This study was designed to identify variables which account for successful performance in a remedial community college mathematics laboratory. Mathematics pretest scores, mathematics skills test scores, attendance time, age, gender, and attitude were used to help predict achievement. The sample consisted of the total population in the mathematics…

One of the strengths of the Pennsylvania Council of Teachers of Mathematics (PCTM) is that it gives mathematicians and mathematics educators the opportunity to exchange and contribute to each other's professional growth. The topic for each yearbook is chosen to coincide with the annual PCTM meeting. This 1986 yearbook contains 17 articles related…

This study of rewards and recognition in the mathematical sciences in higher education utilized data gathered from site visits to 26 institutions, 3 open forums, and a survey of a sample of faculty and department chairs in mathematical sciences departments. Results found: (1) a substantial gap between what faculty think the reward structure should…