Ritzville Pyramids are cone-shaped piles of wheat found near the community of Ritzville, Washington. Presents the practical problem of determining the volume and surface area of a Ritzville pyramid to help farmers solve cost-effectiveness questions related to selling the wheat. (MDH)

Reports on procedural and conceptual knowledge for solving a basic quantitative problem in chemistry by expert and novice secondary school students. Concludes that the major differences between experts and novices lay in conceptual understanding, use of a qualitative procedure, and the type of strategy used. Suggests some instructional techniques…

Outlines a plan of action designed to enhance growth in problem-posing skills. The "blueprint" provides a model for teachers and teacher educators who wish to integrate more problem posing into their curriculum. Specific activities and instructional strategies are cited to illustrate the development of problem posing as a process in the classroom.…

This study compares two E-learning environments: E-learning supported with IMPROVE self-metacognitive questioning (EL+IMP), and E-learning without explicit support of self-regulation (EL). The effects were compared between mathematical problem-solving and self-regulated learning (SRL). Participants were 65 ninth-grade students who studied linear…

This resource book contains mathematical games, tricks, and quick activities for the classroom. Categories of activities include computation, manipulative challenges, puzzlers, picky puzzlers, patterns, measurement, money, and riddles. The computation section contains 13 classroom games and activities along with 4 manipulative challenges.…

This study examined the role and development of applied problem solving in mathematics education in the Finnish comprehensive school. The development during the 1980s of applied problem solving in schools was positive in many ways: the changes were cautious and took place more slowly than had been planned; and many obstacles related to the…

This book illustrates the wide range of issues that should affect any consideration of the relationship between mathematics education and the use of mathematics for practical and work purposes. The concept of ethnomathematics is discussed, and biases, including those of gender, in the content of mathematics and mathematics education are exposed.…

Over the past 10 years, national conferences and committees investigating the state of American mathematics education have advocated an increased emphasis on problem solving and mathematical modeling situations in the secondary school curriculum. However, little effort has been made to prepare secondary school teachers to use mathematical modeling…

This booklet is a collection of 45 problems that have appeared in the Problem Department of the journal "School Science and Mathematics." The booklet is divided into four parts. The first part presents 20 cryptarithms, puzzles in which letters or symbols are substituted for the digits in an arithmetical calculation, that require knowledge of…

A conference on the role of comprehensive problem solving in the secondary school curriculum made two major recommendations: (1) that a significant proportion of the curriculum be devoted to study of "real problems," and (2) that teachers be provided intellectual and physical resources for such a program. (SD)

A discrepancy exists between children's ability to compute and their ability to solve mathematical word problems. The literature suggests a variety of methods that have been attempted to improve this skill with varying success. The utilization of manipulatives, visualization, illustration, and emphasis on improving listening skills all were…

The goal of this material is to explore some aspects of social choice theory that are thought to have potential usefulness in the practical design of decision-making procedures. The document is divided into three chapters: (1) Power in Voting Bodies; (2) Voting Methods for More Than Two Alternatives; and (3) Recent Approaches to Voting Using…

The ways in which students in grades five and six solve problems is the focus of this paper, which provides background for the staff of the Skills Essential to Learning Television Project, (a multi-level series of video and print resources for classroom use). It considers the problem-solving process categories of understanding, transformation, and…

These modules develop two prevalent explanations among political scientists of who gets what in the budgetary process. Specifically, the problem of how an agency's level of appropriations changes over time is addressed. It is noted that budgeting is a political process in the classic sense, in that it elicits and embodies patterns of conflict and…

This module is designed for students with a high school algebra background. The goal is to present the elements of the group idea, primarily by way of a geometric model, and to see its application to the study of kinship relations within certain human groups. The material opens with a presentation of clans in a hypothetical society in an early…