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Download full textAguirre, Julia M.; Suh, Jennifer; Tate, Holly; Carlson, Mary Alice; Fulton, Elizabeth; Turner, Erin E. – North American Chapter of the International Group for the Psychology of Mathematics Education, 2022
This theoretical paper describes how Community-based Mathematical Modeling can advance equity and cultivate civic empathy in elementary school settings. We provide a framework for community-based mathematical modeling instruction consisting of five goals: facilitating connections, fostering engagement, promoting rigor, cultivating civic empathy,…
Descriptors: Mathematical Models, Mathematics Instruction, Teaching Methods, Equal Education
Peer reviewedHindle, Anthony – Journal of Documentation, 1977
A model of user behavior in demand for library documents based on the economic theory of supply and demand is presented. (KP)
Descriptors: Economics, Libraries, Library Materials, Mathematical Models
Lazorick, Gerald J. – 1970
This research is a study of demands for books in library circulation systems. Demand data for random samples of books were collected and fitted to various standard distributions. The numbers of demands for collections of books are shown to be Negative Binomially distributed. As is shown, this implies that the numbers of demands for individual…
Descriptors: Books, Library Automation, Library Circulation, Library Materials
Peer reviewedLawrence, Gary S. – College and Research Libraries, 1981
Presents a simple cost model to analyze trade-offs involved in considering storage and weeding as alternatives to new construction for academic libraries. References are provided, and the Palmour cost model is presented as an appendix. (RAA)
Descriptors: Academic Libraries, Bibliographies, Cost Effectiveness, Library Collections
Peer reviewedBurrell, Quentin L. – Journal of Documentation, 1986
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)
Descriptors: Correlation, Library Circulation, Library Materials, Literature Reviews
Buckland, M.K.; Woodburn, I. – 1968
As part of a project designed to construct a mathematical model of the operation of an academic library, a research team determined the usefulness of a quantitative approach to making decisions about the number of copies of each item that a university library should provide. Using the reserve collection of the University of Lancaster Library as a…
Descriptors: College Libraries, Decision Making, Information Utilization, Library Materials
Lister, Winston C. – 1967
Two aspects to be considered in designing a storage system for library materials are: the fraction of the collection which is to be stored; and the criteria to be used for selecting materials for storage. This study demonstrates that for a given selection criterion least-cost storage quantities can be assessed by balancing the large circulation…
Descriptors: Age, Costs, Information Storage, Library Circulation
Buckland, M.K.; Woodburn, I. – 1968
A research project is being conducted to construct a mathematical model of the operations of an academic library to be used in making managerial decisions. As part of this project, this report examines Bradford's Law of Scattering and the fall-off of use of documents as they age. A series of mathematical analyses indicate how these two laws can be…
Descriptors: Administration, College Libraries, Information Utilization, Library Collections
Kantor, Pual B.; Shim, Wonsik – Proceedings of the ASIS Annual Meeting, 1998
Presents a model of the relation between the circulation at a large library, the collection at that library, and the size of the user population. Analysis of data at United States academic research libraries reveals a square-root law describing this relation. Explores theoretical foundations and speculates on bibliometric implications. (Author/AEF)
Descriptors: Academic Libraries, Bibliometrics, Data Analysis, Interaction
DEWEESE, L. CARROLL; JAIN, ARIDAMAN K. – 1967
THE PROBLEM OF PREDICTING THE PATTERNS OF USE OF LIBRARY MATERIALS IN ORDER TO DECIDE WHICH MONOGRAPHS SHOULD BE REMOVED FROM A MAIN COLLECTION AND PLACED IN STORAGE IS STUDIED IN THIS REPORT. SPECIFICALLY, THE STUDY EXAMINES PREVIOUSLY DEVELOPED MATHEMATICAL MODELS AND DEVELOPS NEW MATHEMATICAL MODELS AND STATISTICAL TECHNIQUES FOR STUDYING THE…
Descriptors: Age, Bibliographies, Hypothesis Testing, Library Circulation
Peer reviewedXiaorong, Fang – Journal of the American Society for Information Science, 1992
Examines the problem of aging of books in university libraries and presents a mathematical model of the aging process. Indexes for the aging time limit, over-age book rate, and aging rate are suggested; use of the mean unit price is considered; and countermeasures for control of the aging process are proposed. (four references) (MES)
Descriptors: Books, College Libraries, Cost Effectiveness, Higher Education
Peer reviewedCooper, Michael D. – Library and Information Science Research, 1988
Analyzes a sample of over 4,700 orders for library materials at the University of California, Berkeley, in terms of the probability that the material will arrive and the factors that determine arrival. Models to evaluate the book ordering process are presented, and variables that may affect arrival time are discussed. (six references) (Author/LRW)
Descriptors: Academic Libraries, Higher Education, Library Acquisition, Library Materials
National Advisory Commission on Libraries, Washington, DC. – 1967
Both an analysis of the sources of cost trends in libraries and the relationship of the prospective role of automation in library operations to the causes of cost trends and the predicted shortage of trained librarians are examined in the study of the economic structure of the library. Issues investigated are those particularly relating to current…
Descriptors: Automation, Capital Outlay (for Fixed Assets), Costs, Economics
