Problem Solving in Mathematics (PSM), a program of problem-solving lessons for grades 4-9, is designed to be integrated into the regular mathematics curriculum. Although the content objectives of the lessons are similar to those of most textbooks, PSM emphasizes problem-solving skills and a variety of instructional strategies which foster the…

This USMES unit challenges students to construct practical shapes which can be used as dice to make a fair decision between two or among three, four, or more choices. The teacher resource book for the Dice Design unit contains five sections. The first section describes the USMES approach to student-initiated investigations of real problems,…

This memorandum demonstrates a variance components methodology for partitioning the overall design effect (D) for a ratio mean into stratification (S), unequal weighting (W), and clustering (C) effects, so that D = WSC. In section 2, a sample selection scheme modeled after the National Longitudinal Study of the High School Class of 1972 (NKS)…

Elusive developmental processes are most often examined in the context of the philosophic problem of scientific determinism. The Markov process model, enhancing a probabilistic viewpoint for the explanation of developmental data, should be restricted. Attention should be focused on the immediate context and situational setting of a subject. The…

In order to determine if Rasch Model procedures have any utility for equating pre-existing tests, this study reanalyzed the data from the equating phase of the Anchor Test Study which used a variety of equipercentile and linear model methods. The tests involved included seven reading test batteries, each having from one to three levels and two…

Designed to serve as a guide for integrating interactive problem-solving or simulating computers into a college-level physics course, this anthology contains nine articles each of which includes an introduction, a student manual, and a teacher's guide. Among areas covered in the articles are the computerized reduction of data to a Gaussian…

Eleven lectures on simulation and gaming delivered at a symposium in Western Canada are presented. Three articles concern ways of gaining knowledge about the effectiveness of the simulation method in teaching. Several articles describe the use of simulation in teaching specific areas: home economics education, agricultural engineering, and…

The National Council of Teachers of Mathematics (NCTM) Curriculum and Evaluation Standards puts great stress on the mathematical processes of problem solving, communication, reasoning, and making connections. NCTM standards also emphasize new and emerging content areas for middle school students such as algebra, data analysis, and probability.…

Uses a LOGO program and probability to solve systems of equations. Provides a physical model and a LOGO model. Lists programs and explains the methodology used. (MVL)

Describes two activities to introduce or extend the concept of the natural number e. Students conduct a lottery using either a table of random numbers or a computer simulation to link experimental probability results to the theoretical probability and to the number e. (MDH)

Presents a gamelike context that provides general-mathematics students the opportunity to explore situations involving chance and develop reasoning about probability. Provides three worksheets for activities that promote components of the NCTM's Curriculum and Evaluation Standards for School Mathematics. (MDH)

This study applied probability models in a four-year case study at a selective liberal arts college. The study found that, while admissions decisions matched institutional goals for student characteristics, discrepancies between acceptance and enrollment decisions frustrated the institution's efforts to achieve diversity and highlighted the…

The paper examines the association between restrictions on teacher tobacco smoking at school and student exposure to teachers who smoke during school hours. The data are taken from a European Commission-funded study "Control of Adolescent Smoking" (the CAS study) in seven European countries. Multilevel modelling analyses were applied to…

This study used a logistic probability model to investigate the effects of variables relating student characteristics and institutional factors on the decision to apply to a large land-grant research university. The study used the entire data set from American College Testing (ACT) program test-takers in the fall of 1995 and institutional data on…

The information in this supplementary notebook is intended to provide teachers with additional materials, ideas and suggestions, and activities to help in implementing the first 21 units of the Applied Mathematics modules that help develop and refine job-related mathematics skills. An introduction lists the 36 units of the complete Applied…