A description is provided of a computer system designed to aid in the analysis of student programing work. The first section of the report consists of an overview and user's guide. In it, the system input is described in terms of a "dribble file" which records all student inputs generated; also an introduction is given to the aids…

Two studies are reported that explore the effectiveness of instruction in promoting students' conceptual understanding of the average concept using a leveling model and an open-ended problem-solving approach. One teacher and her 46 sixth-grade students participated in the first study. One year later, the second study was conducted with the same…

Presents several types of functions which fit a given set of data and create opportunities for classroom discussion comparing different kinds of functions and identifying some of the potential hazards associated with extrapolation from best-fit functions. (DDR)

This study was designed to investigate the relationship between the level of conservation of displaced volume and the degree to which sixth-grade children learn the volume algorithm of a cuboid, namely, volume equals weight times length times height. The problem chosen is based on an apparent discrepancy between the present school programs and…

This book on the aspects of instructional processes focuses on control of student cognitive activity during instruction. Chapter 1 introduces the cybernetic approach to the theory of instruction. It is followed by a chapter on instructional effectiveness and efficiency. The third chapter discusses cognitive processes and thinking. Chapter 4…

Defines M-demand as the maximum number of schemes that the subject must activate simultaneously in the course of executing a task. Discusses the effect of M-demand on problem solving. Uses algorithms to reduce M-demand. Describes the role of algorithms in problem solving. (MVL)

This paper focuses on mathematics education in Technical and Vocational Education (TVE) in West Germany. The "dual system" of TVE, a part-time college/part-time on-the-job training scheme that normally leads to a certificate of a qualified worker after three years, is reviewed. Entrance tests for the trainee posts focus heavily on aspects of…

This unit is 1 of 12 developed for the university classroom portion of the Mathematics-Methods Program (MMP), created by the Indiana University Mathematics Education Development Center (MEDC) as an innovative program for the mathematics training of prospective elementary school teachers (PSTs). Each unit is written in an activity format that…

An item classification scheme developed by A. M. Gallagher (1990) was refined, resulting in a more accurate prediction of sex differences in the mathematical sections of the Scholastic Aptitude Test (SAT). Differential Item Functioning (DIF) procedures for examinees scoring over 650 indicated that the majority of items favoring males required the…

This document serves as Volume II of a two-part course designed to improve mathematical proficiency and understanding as the student is given practice in relevant problem-solving situations. It includes the mathematics skills needed to make sound consumer decisions. The purpose of this course is to review, reinforce and extend concepts learned in…

Higher order cognitive development and success in the study of high school mathematics and science require an understanding of rational number concepts and facility with proportional reasoning and computation. Proportional reasoning is an essential schema for developing formal operational thought. This study involving 16 ninth-grade students was…

Discrete mathematics, the mathematics of decision making for finite settings, is a topic of great interest in mathematics education at all levels. Attention is being focused on resolving the diversity of opinion concerning the exact nature of the subject, what content the curriculum should contain, who should study that material, and how that…

The purpose of this practicum was to determine if adult students engaged in training for high technology jobs can realize a time savings if customary or metric units of measure are used for practical mathematical calculations. Two quizzes were developed, and validated, using customary and metric units for the same type of problem, and the time to…