The purpose of this study was to explore the use of a cognitive computer tool by undergraduate calculus students as they worked cooperatively on mathematical tasks. Specific attention was given to levels of cognitive demand in which the students were engaged as they completed in-class labs with the assistance of MathCAD. Participants were assigned…

This booklet is the second in a series of nine from the Teacher Training Institute at Hofstra University (New York), and describes the capstone course on calculus in secondary school mathematics, which was planned in response to numerous requests from the participants of the previous cycles. Included in this booklet are: (1) an introduction; (2)…

There has been concern over the validity of the Algebra Diagnostic Test (ADT) used to determine the actual level of student preparation for the first quarter of calculus as taught at the University of California, Santa Barbara. It has been hypothesized that performance-based questions, along with the more traditional multiple choice questions,…

This course guide for calculus offered at the high school level begins with an overview of the course. The overview includes a rationale for including calculus in the high school curriculum, a description and rationale of calculator and computer use in the calculus class, the desired qualifications and characteristics of calculus teachers,…

Descriptions of Papua New Guinea's national high schools, grade 12 major/minor mathematics courses, and an analysis of the 1980 and 1981 major/minor course examination results are presented. The analysis is intended for use by post year 12 lecturers/instructors planning their courses. Findings indicate that topic scores were far too low for these…

This report explores the student background characteristics that might be associated with success or failure in calculus and evaluates the effectiveness of remedial mathematics education. The sample consisted of two groups at the University of California, Santa Cruz: (1) all students (105) who took first quarter calculus in spring, 1985; and (2)…

This study evaluated student preparation for a course in calculus for business, management, and social sciences as a prerequisite for success in probability theory. The study included a review of the literature, development of an assessment instrument and cut-off scores, and review and validation of the study criteria, the assessment instrument,…

Steele and Aronson (1995) found that the performance of African-American subjects on test items portrayed as a problem-solving task, in a laboratory experiment, was adversely affected when they were asked about their ethnicity. This outcome was attributed to "stereotype threat". Performance was disrupted by the subjects' concerns about…

In an effort to increase faculty use and knowledge of computers, Oakland Community College (OCC), in Michigan, developed a Summer Technology Institute (STI), and a Computer Technology Grants (CTG) project beginning in 1989. The STI involved 3-day forums during summers 1989, 1990, and 1991 to expose faculty to hardware and software applications.…

This project described the characteristics and teaching behaviors of those successfully teaching AP® Calculus AB and AP English Literature and Composition to underrepresented minority students. Its purpose was to assist educators in improving the participation and performance of underrepresented minority students in AP classes. Study results…

When teachers possess detailed knowledge about children's thinking and problem solving, it can profoundly affect their knowledge of their students and their planning for instruction. Reported is a project designed to demonstrate the feasibility of redesigning courses for prospective teachers in mathematics and science by incorporating into the…