The beginning of modern science is marked by efforts of pioneers to understand the natural world using a quantitative approach. As Galileo wrote, "the book of nature is written in the language of mathematics". The traditional undergraduate course curriculum is heavily focused on individual disciplines like biology, physics, chemistry,…

A sample of 328 freshman economics students is disaggregated by the students' gender, previous knowledge of economics, attitudes toward economics, and innate abilities. Results show that students learn more economics if they take microeconomics before macroeconomics. Appended are 14 references. (MLF)

Using data from the National Longitudinal Survey of Young Men, this paper reveals that earnings below expectations induce a return to school. Appended are 12 references. (MLF)

This exploratory study determined whether a mathematical model of mastery learning provided a good fit for achievement data obtained from student progress in an introductory, college-level astronomy course for nonmajors. Results provide positive but not compelling evidence that the model of mastery learning is correct. (JN)

During the past 15 years, considerable attention has been given to a conspicuous longitudinal change in grading patterns in higher education. Commonly referred to as "grade inflation," the phenomenon has been perceived by some as seriously weakening the meaning of grades but by others as reflecting a positive tendency for students to…

The Auto-Regressive Integrated Moving Average (ARIMA) Models, often referred to as Box-Jenkins models, are regression methods for analyzing sequential dependent observations with large amounts of data. The Box-Jenkins approach, a three-stage procedure consisting of identification, estimation and diagnosis, was used to select the most appropriate…

A sample of 24 subjects was presented with 800 addition problems to test a general model of simple and complex addition. According to this model, an addition problem is encoded and verified by column, with specific addition strategies determined by the size of the problem. Two hundred problems each of the following four types were presented: (1)…

Develops a model of ideal minority representation to assess whether or not an employer's current personnel policies are consistent with a random hiring policy. The model is then applied to a case alleging sex discrimination in the hiring practices of a university academic department. Appended are 12 references. (MLF)

This study investigated the problem representations formed by college students while solving mathematics problems. Problem representation characteristics indicative of understanding were identified by analyzing audio-tapes and written work of sixteen subjects, ages 16 to 24, who solved mathematics problems using the think-aloud technique. These…

Monitoring student performance on microcomputer drill and practice programs over time provides evidence that students learn from the programs at different rates and that programs differ in the rates at which they impart learning to students. Implications of these and other findings for science teaching are addressed. (JN)

Discusses a single pattern formation mechanism that could underlie the wide variety of animal coat markings found in nature. Presents the results of a mathematical model for how these patterns may be generated in the course of embryonic development. (CW)

This paper reviews the existing multidimensional item response theory (IRT) models and demonstrates how one of the models can be applied to estimation of abilities from a test measuring more than one dimension. The purposes of this paper were threefold. First, the fundamental concepts required when considering multidimensional models for the…

A study documented 10 college students' understanding of the limit concept and the factors affecting changes in that understanding. Encouragement by the researchers for the students to change their common informal models of limit to more formal conceptions were met with extreme resistance. (Author/JJK)

This paper provides an up-to-date review of the relationship between item response theory (IRT) and (nonlinear) common factor theory and draws out of this relationship some implications for current and future research in IRT. Nonlinear common factor analysis yields a natural embodiment of the weak principle of local independence in appropriate…

A quantitative method developed at Stanford University that addresses programmatically the short- and long-term needs of the college physical plant is discussed. The approach allows the administrator to accurately assess funding resources for the maintenance program in conjunction with academic and construction programs. A special task force at…