This paper is an attempt to contribute to the development of guiding principles for mathematics education by taking a frame of reference outside mathematics education itself. Examines the implications of long wave theory for mathematics education. (YP)

Describes the use of step-functions in modelling instruction. Classifies modelling into three categories: direct, analogical, and creative application. Provides and discusses modelling postal rates and other problems as examples. (YP)

Outlines a possible framework for allowing teachers to explore how children learn mathematics. A mathematical modelling process and three domains, including content, process and pragmatic domain, are described. Twelve strategies for encouraging children to translate between the domains are suggested. (YP)

Examines mathematical models of style analysis, focusing on the pattern in which literary characteristics occur. Describes an autoregressive integrated moving average model (ARIMA) for predicting sentence length in different works by the same author and comparable works by different authors. This technique is valuable in characterizing stylistic…

This paper develops a multiplicative model as a means of combining ratings of criticality and frequency of various activities involved in job analyses. The model incorporates adjustments to ensure that effective weights of criticality and frequency are appropriate. An example of the model's use is presented. (TJH)

Identifies a set of objects that is genuinely indigenous to management information systems and constructs a simple model based on them. The model's four basic entities, which define the scope of information theory, are data, information, knowledge, and wisdom. (Contains 46 references.) (KRN)

Two experiments examined fifth-grade students' reasoning about data modeling: one involved development of hypermedia documents, the other, use of a simple randomization distribution to test students' hypotheses. Found that data construction and analysis provide an opportunity to involve students in the important enterprise of mathematical…

Presents examples of the use of mathematical modeling in mathematics courses in order to not lose sight of the essence of the mathematical attitude; encourage students' concern with problems that surround them; appreciate human resources; and associate mathematics with other sciences. (MKR)

Combines costs of fund raising and college-relations data for each of 3 years from 17 colleges and universities with the schools' institutional characteristics to predict ratios of alumni donors to each school's total alumni. With factor analysis, classifies expenditure and institutional variables according to fund-raising effort, donor wealth,…

Presents a mathematical metaphor for the birth and decline of historical eras. Identifies conditions necessary for transition from one era to the next. Argues that each era is characterized by sigmoidal growth that declines to saturation. Suggests that only synergetic, innovative people can open new areas and criteria to issue in a new era. (DK)

Discusses flexible polyhedrons, called flexors, that can be bent so that the faces stay rigid while the angles between them seem to change. Presents models representing flexors and directions on how examples can be constructed. (MDH)

A methodological framework is provided for quantitatively integrating Type I error rates and power values for Monte Carlo studies. An example is given using Monte Carlo studies of a test of equality of variances, and the importance of relating metanalytic results to exact statistical theory is emphasized. (SLD)

Y. Takane and J. Sergent developed a model (MAXRT) for scaling same/different judgments and response times (RTs) simultaneously. The adequacy of the assumption that RTs are distributed log-normally is considered, and the effect of a violation of this assumption is investigated via a computer simulation. (SLD)

This paper reviews the present state, recent trends, and prospective lines of development concerning applied problem solving, modeling, and their respective applications. Four major trends are scrutinized with respect to curriculum inclusion: a widened spectrum of arguments, an increased universality, an increased consolidation, and an extended…

Reviews three citation-based measures for the study of journal status--influence weight, importance index, and measure of standing--to provide more convenient access to their computation. A subset of nine library and information science journals is used to illustrate simple computational procedures using the SAS statistical software package. (18…