In this study an entering cohort of freshmen majors in mathematics and science at a land grant, research one institution was examined to first determine if a group of students who persisted in science and mathematics disciplines were different in terms of pre-college characteristics from a group of students who dropped with grade point averages…

This issues paper was prepared by a task force convened by the Mathematical Sciences Education Board to explore the feasibility of assembling and disseminating source materials for mathematics departments and individual faculty members at the college level seeking to better document their educational growth and effectiveness over time. Four…

Understanding the effects of additive and multiplicative constants on basic statistical procedures provides the important groundwork necessary for a thoughtful and logical understanding of more complex methods. This paper explores the effects of additive and multiplicative constants on the mean, standard deviation, skewness, kurtosis, and…

Some concerns are expressed about many students who lack mathematics preparation for understanding college physics. Several possible solutions are identified. (RH)

The mathematics involved in a practical application of matrices and vectors to the field of computer graphics where three-dimensional objects are moved and displayed is explained. (DT)

This investigation extends a 25-point geometric system for defining a 25-point trigonometry whose properties are analogous to those of the trigonometry of the Euclidean plane. These properties include definitions of trigonometric functions arising from ratios of sides of right triangles, the relations of elements of a given triangle through the…

Compared was the effectiveness of two methods of presenting the rules of deduction in studying certain portions of mathematics. The study, involving two sections of a general studies course in mathematics, was conducted during the winter and spring quarters at Southern Illinois University. Section A spent th e entire winter quarter making a formal…

This how-to-study guide was written for the Danish college freshman who must pass a comprehensive mathematics examination before proceeding on to more advanced studies. Student work load for the first year of study is described and advice is given on establishing work priorities, preparing for classes, attending classes, and using the textbook. A…

Reported are the results of an experiment designed to test the effectiveness of computer use by junior college students in a calculus class. The primary objective involved the replacing of pencil and paper computations by a computer program output. The topical areas of investigation were limits, extrema, functional evaluation, and integration.…

Research reported dealt with designing a mathematics course for undergraduate business students. Of the three groups formed by matching, the control group received traditional instruction in college algebra, utilizing one text, while the two experimental groups used materials selected for their relevance to business students. One experimental…

These instructional objectives have been selected from materials submitted to the Curriculum Laboratory of the Graduate School of Education at UCLA. Arranged by major course goals, these objectives are offered simply as samples that may be used where they correspond to the skills, abilities, and attitudes instructors want their students to…

Cognitive and affective changes in 49 students taking college mathematics taught by an open-learning method were compared to changes in 43 students taught by a conventional lecture method. Pretest and posttest data were collected on two cognitive variables (structure of real numbers and statistics-probability) and on four affective variables…

The purpose of the study was to present a precise interpretation of the Poincare-Hadamard conception of mathematical problem solving, to provide a transition from theory into practice by making tactical suggestions on how to generate productive problem-solving thought, and to translate these specific suggestions into tentative objectives and…

A formula estimating the number of misprints in a text which escape both of a pair of proof readers is developed using the principle of inclusion-exclusion. (SD)