In order to meet two key objectives, enrollment managers at colleges and universities make extensive use of single equation probability models. The first objective is to generate sufficient financial resources to educate the students enrolled. The more dependent the institution is on tuition revenues, the more important is this objective. The…

The Maui Hawaii Educational consortium (the Maui School District and Maui Community College) sought scientifically based evidence for the effectiveness of the "Cognitive Tutor (CT) Algebra I Curriculum" to inform adoption decisions. Decision makers were particularly interested in whether the use of the "CT" program affects…

The Florida Comprehensive Assessment Test (FCAT) is a high-stakes test that public school students must pass to be eligible for graduation from high school. Previous research suggests that high-stakes tests have a differential effect on students by race and ethnicity. This study finds that in one Florida school district African American and…

This paper is concerned with understanding how a scaffolding process is utilized in the natural setting of a middle-school mathematics class. Wood, Bruner, & Ross (1976) characterize scaffolding as a learning process of a novice which is assisted and dominated by the adult. Rogoff and Gardner (1984) also point out that "to make messages…

Advances in computer technology are making it possible for educational researchers to use simpler statistical methods to address a wide range of questions with smaller data sets and fewer, and less restrictive, assumptions. This digest introduces computationally intensive statistics, collectively called resampling techniques. Resampling is a…

This study examined the effects of self-evaluation on student performance in mathematics. Grade 5 and 6 students (N=300) were randomly assigned in intact classes to treatment and control groups. In both conditions a 2-week cooperative learning unit on probability was implemented. In the treatment condition, students received training in…

This book presents 129 problems selected from the calendar problem section of the "Mathematics Teacher" to supplement regular mathematics textbook offerings for middle grade teachers and students. The problems are categorized by six topics: (1) Numbers; (2) Computation; (3) "Oldies but Goodies"; (4) Offbeat and Unusual; (5)…

Too few researchers understand what statistical significance testing does and does not do, and consequently their results are misinterpreted. This Digest explains the concept of statistical significance testing and discusses the meaning of probabilities, the concept of statistical significance, arguments against significance testing,…

In multiple-choice items the response probability on an item may be viewed as the result of two distinct latent processes--a cognitive process to solve the problem, and another random process that leads to the choice of a certain alternative (the process of giving the actual response). An incomplete latent class model is formulated that describes…

Five sets of activities for students are included in this document. Each is designed for use in junior high and secondary school mathematics instruction. The first Note concerns mathematics on postage stamps. Historical procedures and mathematicians, metric conversion, geometric ideas, and formulas are among the topics considered. Successful…

The concept of probability is not an easy concept for high school and college students to understand. This paper identifies and analyzes the students' alternative frameworks from the viewpoint of constructivism. There are various interpretations of probability through mathematical history: classical, frequentist, and subjectivist interpretation.…

A procedure for developing a nomogram that depicts expectancy of success on a criterion from performance on two predictors is presented. Data from 574 medical students attending Michigan State University College of Human Medicine's classes of 1979 through 1984 were used to develop a model for predicting the expectancy of success on Part I of the…

This Comprehensive School Mathematics Program (CSMP) guide is divided into three major parts. The first, the Languages of Strings and Arrows, opens with a suggested lesson order. Major sections cover instructional approaches for: (1) Games with Strings, (2) Necklaces, and (3) The Table Game. A Series of appendices is included. Part 2, Geometry and…

Primary health care has a new tool with which to improve its effectiveness, its efficiency, and its decisions about national and local priorities: the accurate measurement of the chances of occurrence of a future event of health or illness. Human and other resources should go where the need is greatest, and assessment of the risk of future…

This document consists of three modules. The first looks at applications of analysis to medical radiology. The goals are to provide: 1) acquaintance with a significant applied mathematics problem utilizing Fourier Transforms; 2) generalization of the Fourier Transforms to two dimensions; 3) practice with Fourier Transforms; and 4) introduction to…