Past studies have suggested that in light of recent curriculum standards, many US teachers make limited use of drawn models in their mathematics instruction. To gain insight into this phenomenon, we investigated relationships between US teachers' opportunities to learn about, knowledge of, motivation for, and instructional use of drawn models for…

In this paper, we examine the development of pre-service mathematics teachers' use of multiple representations during teaching in technology-rich environments. The pre-service teachers took part in a preparation program aimed at integration of technology into teaching mathematics. The program was designed on the basis of Technological Pedagogical…

Gives a model to interrelate the measures of service used in a library. (Author/PF)

This paper attempts to analyze the problem of congestion, using a mathematical model shown to be of value in other similar applications. Three criteria of congestion are considered, and it is found that the conclusion one can draw is sensitive to which of these criteria is paramount. (8 references) (Author/NH)

A mathematical model is presented that can be used to predict a library's circulation. (Author)

The average citation per article in chemistry by age of citation is related to the Poisson frequency distribution. This provides a formula for calculation of a half-life for chemistry which depends on the structure of the research front exhibited in the literature. (Author/FM)

Develops and tests a mathematical model that estimates the impact of home video recorders on the transience of television broadcasts. Concludes that home video recorder use has the potential to affect program longevity, but that the potential remains unfulfilled. (PD)

Correlation structure of the Burrell and Cane mixed Poisson model for library loans with aging is presented and illustrated by data from University of Sussex. The approach is compared and contrasted with that originally formulated by Morse and recently reevaluated by Beheshti and Tague. Directions for future investigations are suggested. (Author)

Presents results from study of mathematical models (Cobb-Douglas model, mixture of Poissons, inverse effects of distance, weighted entropy) relating to usage of information systems, and notes papers developed during study which provide three types of analysis--literature reviews, analytical studies, and tests of models. Six references are…

Develops mathematical models to characterize the probability of continued use of an integrated office automation system and tests these models on longitudinal data collected from 210 individuals using the IBM Professional Office System (PROFS) at the University of California at Berkeley. Analyses using survival functions and proportional hazard…

In the study reported here a cost model of facility usage was constructed to assess the financial impact of alternative facility usage policies. Results of the study indicate that the financial benefits that accrue from increased facility utilization would likely be more than offset by increased costs. (Author)

This study investigated ways in which the costs of a library's direct and indirect services can be equitably allocated to its heterogeneous group of institution users. It was conducted from October 1, 1974 to March 31, 1977. The final report is divided into four parts, each describing a separate issue. Part I discusses the general administrative…

Part II of the study describes a model for associating one portion of total library costs with use; the model's output is a set of charges that can be used to recover (justify) these usage-based costs. Algebraic formulations constructed and combined to form the model are a set of service charges that may vary by user type and recover out-of-pocket…

Part III of the study describes a model for completing the cost assessment (justification) process by accounting for the fixed joint costs; a "fair" and equitable mechanism is developed in the context of game-theoretic approach. An n-person game is constructed in which the "players" are the institutions served by the library,…