Two major challenges in mathematics teacher education are developing teacher understanding of: (1) culturally responsive, social justice--oriented mathematics pedagogies; and (2) mathematical modeling as a content and practice standard of mathematics. Although these challenges may seem disparate, the innovation described in this article is…

This paper provides examples of Aid-to-Thought uses in urban decision making, classroom laboratory planning, and in a ship antiaircraft defense system. Aid-to-Thought modeling and simulations are tools students can use effectively in a STEM classroom while meeting Standards for Technological Literacy Benchmarks O and R. These projects prepare…

We estimate the trend in the transitory variance of male earnings in the United States using the Michigan Panel Study of Income Dynamics from 1970 to 2004. Using an error components model and simpler but only approximate methods, we find that the transitory variance started to increase in the early 1970s, continued to increase through the…

This article offers modelling opportunities in which the phenomena of the spread of disease, perception of changing mass, growth of technology, and dissemination of information can be described by one differential equation--the logistic differential equation. It presents two simulation activities for students to generate real data, as well as…

As Duncomb and Yinger (2001) have stated, "School consolidation represents the most dramatic change in education governance and management in the United States in the twentieth century. Over 100,000 school districts have been eliminated through consolidation since 1938, a drop of almost 90 percent (NCES 1999, Table 90). This longstanding…

This paper, one of three related documents, examines statewide trends in the distribution of staff in the Michigan public schools. Along with its related documents, it provides a basis for analyzing the impact of state financing mechanisms and funding levels on the overall distribution of resources throughout the state and on the resource…

This paper, one of three related documents, explains a model for school finance in Michigan. First, it analyzes where school districts get their money and how they spend it. Next, it details a financial model that identifies the factors related to staff adequacy levels, estimates the strength of those factors, offers ideas for the components of a…

TO DEVELOP A BETTER MATHEMATICAL BASIS FOR FACTOR ANALYSIS, A MATHEMATICAL APPROACH WAS FORMULATED FOR FIXING COMMUNALITIES AND THEIR COMPLEMENTS, UNIQUENESSES, AS WELL. WHILE THE INVESTIGATOR WAS UNABLE TO PROVE THAT MINIMUM-TRACE CRITERIA FIX COMMUNALITIES UNIQUELY, A SET OF IDENTITIES AND INEQUALITIES WAS LOCATED AMONG THE COMMUNALITIES AND,…

In assessing educational equity among school districts, according to the authors, researchers should control for differences across districts in the prices of educational inputs. This paper tests a suggested index for one educational input, teacher salaries. The suggested teacher-salary index, based on a supply-and-demand model using 12 demand and…

Proposes a model for evaluating state equalization aid formulas, accounting for municipal overburden and tradeoffs between expenditures and taxes. Tests the model using the Michigan state aid formula. Results relate elasticities to spending and tax levels and suggest that relatively unrestricted guaranteed tax base formulas can work. (PGD)

Regarding shortcomings in guaranteed tax base (GTB) school aid formulas, especially difficulties in measuring district fiscal capacity, the authors cite Michigan data to argue that inequities resulting from measurements using property wealth can be mitigated by property tax relief, intrastate cost differentials, and a unique aspect of Michigan's…

The study derives a model of the unemployment insurance (UI) system and its relationship to the labor market, estimates it with data from the Detroit Standard Metropolitan Statistical Area, and evaluates its potential use to forecast UI benefit amounts, UI insured unemployment, and UI exhaustions. It further uses the model to analyze policy issues…

This study analyzes the effectiveness of a "guaranteed tax base" (GTB) as a reform measure designed to reduce the traditional heavy reliance of school financing on local property tax revenues and to help equalize per pupil expenditures across districts. Such measures call for matching locally raised tax dollars with state aid and…