In this report we explore the role of reviewer agreement in judgments about alignment between tests and standards. Specifically, we consider approaches to describing alignment that incorporate reviewer agreement information in different ways. The essential questions were whether and how taking into account reviewer agreement changes the picture of…

This thesis describes the design, development, implementation, and evaluation of a training module to instruct graduate foreign students to learn the representation of the binary system and the method of decimal-binary conversion. The designer selected programmed instruction as the method of instruction and used the "lean" approach to…

The authors discuss the question, "What is mathematics education research at the university level?" They go on to consider "Making progress in tertiary mathematics education research: pushing the field forward." This includes a discussion of basic concepts and theoretical frameworks used. Further, they consider who does such research and how one…

Reports a project that incorporated mathematical modeling into a college course. Reports evaluation of the course in terms of criteria derived from the stated aims: modeling performance, modeling framework, pedagogy assessment, and personal growth. Included are two sample problems. (YP)

This paper examines part of a set of students who were followed during their first-term, first-year studies in formal definition-based real analysis at a British university. It explores the approaches to problems about convergence of sequences and series made by students who have a tendency to include visual imagery in their reasoning. We explore…

This article defines "higher level mathematical skills" and details an important class: that of "constructing instances" of mathematical objects satisfying certain properties. Comment is made on the frequency of higher level tasks in undergraduate work. We explain how such questions may be assessed "in practice" without the imposition on staff of…

An important topic presented in introductory statistics courses is the estimation of population parameters using samples. Students learn that when estimating population variances using sample data, we always get an underestimate of the population variance if we divide by n rather than n-1. One implication of this correction is that the degree of…

Clemson University's Revitalized Undergraduate Mathematics with Symbol Manipulating Graphics Calculators Project introduced Hewlett-Packard HP-48S graphing calculators into undergraduate mathematics instruction to demonstrate that calculators can be effectively integrated into the undergraduate mathematics curriculum. This document reports the…

In 1988, the Office for Undergraduate Science, Engineering, and Mathematics Education (USEME) convened a series of disciplinary workshops designed to obtain a better understanding of the conditions and trends in undergraduate education in the United States in seven critical areas: Biology, Chemistry, Computer Science, Engineering, Geosciences,…

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…

Describes and evaluates the Mathematics Workshop Program (MWP), which recruits first-year students of all races but typically enrolls primarily minority students. Data clearly suggest that MWP has succeeded in promoting high levels of academic performance among African American mathematics students. (AF)

Describes an experimental course requiring writing assignments as a regular part of the course. Summarizes common problems with student writing in mathematics. Reports effective procedures of the course, such as peer response, double submission, and efficacious instructor responses. (YP)

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)

Gateway tests provide a means of assuring that students in reformed precalculus and calculus courses acquire the algebraic and computational skills needed in courses following these, while allowing the focus of the course to be on the conceptual understanding intrinsic to the reformed courses. However, logistical difficulties plague the…

We report on a study of the relationship between calculator technology and student learning in two introductory statistics class sections taught by the same instructor at the University of Texas at San Antonio. At the introduction of hypothesis testing and confidence intervals, one class section (A) was given graphing calculators capable of…