Shares observations made by a third-grade teacher who experimented with a variety of strategies to improve her students' abilities to write about mathematics. Notes that this gave the teacher a greater understanding of how students approached solving math problems and helped students practice writing in a meaningful way. (SR)

Activities that illustrate a problem-solving approach to teaching grouping symbols, such as parentheses and brackets, are described. Suggested exercises, answers to those exercises, and variations of this activity are included. (KR)

This paper describes a method of understanding student problem-solving behavior during computer-assisted instruction using trigonometry as the example domain. Instead of attempting to model the student's process for solving problems, techniques which infer the equivalence between two adjacent steps in the student's process are used to determine…

Solutions to quadratic equations found in solving physics problems sometimes make no sense. Investigates problems in which solutions, such as negative numbers, have significant physical meaning in the problem. Problems are chosen from the topics of kinematics, conservation of mechanical energy, inelastic and elastic collisions, electrostatics, and…

Describes generative learning environments for teaching mathematical problem solving that were developed at the Vanderbilt University Learning Technology Center. The theoretical framework is discussed; design principles are explained, including a video-based presentation format; and the use of videodisc and hypermedia is discussed. (37 references)…

The study examined methods of mathematical problem solving with 34 gifted and 34 average Dutch 10 year olds. Typical questioning protocols are diagrammed and results tabulated. Preliminary findings suggest the potential value of explicit teaching of advanced mathematical problem-solving skills to pupils of average ability. (DB)

Investigates several problems with the sequences of numbers known as the Catalan numbers and the Bell numbers. Finds that the problems are appropriate for both pre- and in-service teachers, as well as students studying discrete mathematics. (Author/CCM)

Considers implications of the findings of the study by E. Fennema and others that boys in the primary grades use different mathematics problem-solving strategies than girls and suggests that equitable mathematics instruction may require specific attention to gender differences and underachieving groups. (SLD)

Describes a year-long project for upper elementary-middle school students that incorporates mathematics, language skills, problem solving, and economics in a classroom business. Outlines the 13-step process that the author's students followed in planning and running a classroom candy store. (SR)

Uses of Dynamic Geometry Software (DGS) are often limited purely to a verifying role. Presents a case study that emerged from a project in which DGS formed an integral part of the pedagogical arrangement. The study demonstrates how the contrasting power of DGS might be utilized in a guided discovery setting. (Contains 17 references.) (Author/ASK)

Explores the co-shaping of public and private discourse and some of the circumstances under which one occasions the other in the evolution of mathematical thinking by pairs of 13-year-olds. Provides evidence that adolescents within novel problem situations can experience some difficulty in making their emergent thinking available to partners in…

Compares sixth-grade American students to three samples of (Chinese, Japanese, and Taiwanese) sixth-grade Asian students to determine if the well-documented mathematical achievement of students from these Asian nations might be due in part to a greater understanding of mathematical representations. Indicates that all Asian samples scored…

Studied the effects of item content and stereotypic threat to gender differences in mathematical problem solving through two experiments, one with 63 seventh and eighth graders and the other with 174 college students. Results suggest that gender-stereotype threat could be a big factor in gender differences in mathematical problem solving. (SLD)

During the years 2000-2003, a course on Exploring Quantitative Relationships (EQR) was created at Queens College under the support of the U.S. Department of Education Fund for the Improvement of Post-Secondary Education (DOE-FIPSE Grant No. P116B000772). Exploratory in nature, the course goals were to acquaint liberal arts students with…

This article describes how three algebra problems involving systems of equations can be modeled and solved with manipulative materials or pictorial representation, then the solutions are compared with standard solutions using algebraic symbols. As students begin to use manipulatives and represent their pictures with number sentences, they are…