Describes a study in which average eighth graders in an urban junior high school were placed into prealgebra classes normally reserved for high achievers. The average achievers in the prealgebra classes understood mathematical concepts better and enrolled in more advanced mathematics classes during high school, than did their cohorts. (GLR)

Suggests activities that use a variety of communication modes to help students develop a deeper understanding of mathematics. Highlights include writing projects such as student journals and creating word problems; problem-solving software; the use of games, oral presentations, charts, models, and graphs; reading activities; and developing…

Describes "Family Computers," an educational program developed by EQUALS that brings families together weekly to have fun with mathematics while using computers. Discusses software selection, provides a lesson plan for grades 4-8, and presents 7 tips for instructors. (MDH)

Preservice elementary teachers worked cooperatively to explore the relationship between the measure of the central angle and the number of sides of regular polygons using the reflection of a line in a hinged mirror. The experience involved conjecture and experimentation, communication, and building connections between science, geometry, and…

Presents four articles for elementary teachers. The first shows how teachers can guide students to write stories from personal experiences. The second offers suggestions for mathematics instruction, focusing on primary level geometry and intermediate level problem solving. The third focuses on folk-art barn paintings. The fourth uses pumpkins to…

Discusses how actual or planned travel experiences can form the basis for constructing realistic, challenging, and interesting problem-solving tasks for classroom use. Provides examples of how teachers and students can create travel problems for use in the classroom. The travel-problem concept is adaptable to any elementary, secondary, or…

Introduces the constructivist theory of mathematical learning, and illustrates its application in a curriculum focusing on fundamental concepts. How knowledge is constructed, how concepts mature, and what it means to learn and to know mathematics are presented. Pedagogical implications of adopting a constructivist perspective on knowledge and…

This paper presents a new model for simulating procedural knowledge in the problem solving process with our ontological system, InfoMap. The method divides procedural knowledge into two parts: process control and action performer. By adopting InfoMap, we hope to help teachers construct curricula (declarative knowledge) and teaching strategies by…

"How can this Abstract Algebra course help me to teach Algebra in high school?" To professors of prospective mathematics teachers, this type of question has a resounding familiarity. Because students are unclear as to the relationship between upper division mathematics courses and the high school curriculum, answering the opening question to the…

This book is designed to give mathematics teachers a host of interesting and useful ideas thereby raising their consciousness level and enabling an enrichment of the mathematics instruction program. The chapters in this book capture a broad spectrum of ideas in the area of mathematics problem solving. Chapters are: (1) "Strategies for Problem…

This book provides a collection of 191 mathematical problems aimed at the advanced high school student level and above. Problems cover general mathematical areas including plane geometry, three-dimensional geometry, number theory, algebra, combinatorics and graph theory, and a number of miscellaneous questions that combine mathematical…

This paper reports a study that sought to explain student understanding of the concept of linear inequality as presented in a problem-solving setting. In the course of data analysis, the transition from arithmetic to algebra emerged as a critical issue. Therefore, the study examined the differences in the problem-solving activities of solvers who…

This study sought to provide an explanation of (n=13) university students' understanding of the concept of linear inequality as presented in a problem-solving setting. In the course of the analysis of the data, the transition from arithmetic to algebra emerged as a critical issue. Therefore, the study examines the differences in the…

This study examined the problem-solving behaviors, strategies, and achievement of college students enrolled in a one-semester college algebra and statistics course, with respect to the content areas of quantitative literacy, connections between algebraic and graphical representations, and mathematical modeling. Four instructional units of this…

This article looks at the problem of why so few students, in certain schools, complete accelerated math programs. Hard facts and student opinion are combined here to give insight into the situation. The author suggests ways to salvage an accelerated mathematics program if an attrition problem exists. (Editor)