This guide is designed to help classroom teachers implement the Alabama Course of Study: Mathematics K-12. It is inclusive also of the objectives tested by the Stanford Achievement Tests and the Alabama Basic Competency Tests. One characteristic of the curriculum guide is that it clearly states what students should learn in each grade level. These…

This issue contains abstracts and critical comments for published reports of research in mathematics education. The reports are concerned with: (1) relationships between class size, teaching practices, and student achievement; (2) sex differences related to attitudes; (3) comprehension of mathematical relationships expressed in graphs; (4) effect…

This study, conducted with college developmental studies students, explored possible relationships between individualized computer-assisted instruction (CAI) in basic mathematics skills and each of two variables; mathematics knowledge and anxiety toward mathematics. Both experimental (N=5) and control (N=12) groups made significant gains in…

The paper describes the rationale and 10-day implementation in a 5th-grade classroom (n=19) of an experimental ratio-and-proportion instructional design. In this constructivist-phenomenological design, coming from our theoretical perspective, design research, and domain analysis, students: (1) link "real-world" and "mathematical" objects…

Describes a Food-Choice Unit that includes the following activities: drawing circle graphs, graphing dietary content, understanding heart attacks, reducing dietary fat, charting fat content of restaurant foods, and calculating percent of fat. Includes extension activities. (CSCO)

Compared the problem-solving and computational skills of first-grade students whose teachers had participated in staff development to learn to teach using a Cognitively Guided Instruction framework to first-grade students whose teachers had not. Students in experimental classes performed significantly better in solving word problems and completing…

Students who have particular difficulty in mathematics are a growing concern for educators. Graphic organizers have been shown to improve reading comprehension and may be applied to upper level secondary mathematics content. In two systematic replications, one randomly assigned group was taught to solve systems of linear equations through direct…

This article illustrates how problem solving can be enhanced through careful planning and problem presentation. Often, students shut down or are turned off when presented with a problem to solve. The author describes how to motivate students to embrace a problem to be solved and provides helpful prompts to further the problem-solving process.…

This article describes a mathematics lesson taught by a 5th grade teacher who engages her class in an in-depth examination of one student's incorrect solution to a problem. Because the teacher consistently asks her students to devise alternative calculation strategies and explain how those strategies work, the students have come to expect that…

This conference proceedings volume for PME-NA-XIX contains a total of 87 reports: one plenary session report; 39 research reports; 20 short oral reports; 25 poster session reports; and two discussion group reports. Only the plenary and research reports are full reports; the others are generally one-page abstracts. The full reports include: (1)…

This study investigated children's ability to interpret a natural social situation, depicted in a narrative story, and to use their understanding of that situation to generate and apply a mental model of debts and assets in solving problems including negative quantities. Fifty-one American students from a parochial school in a predominantly middle…

This document offers instructional materials for a 32-hour course on math operations involving graphs/statistics, measurement (English and metric), geometry, exponential notation, and scientific notation as applied in the workplace. The course was part of a workplace literacy project developed by Mercer County Community College (New Jersey) and…

This eight part guide was developed to assist individuals in improving mathematics education in Georgia schools, particularly in planning curriculum at the local level. The guide was prepared on the basis of successful teaching practices and recommendations from recognized educators. Information regarding considerations unique to teaching the…

The realization that the areas of second language and mathematics education share some common features and that educators in these fields may profit by an exposure to research and practice in both fields motivated the production of this paper. From an introduction to the literature, parallels in the history of the two disciplines were recognized:…

This "letter to teachers" suggests reasons teachers should be interested in research findings. Research findings in several areas are summarized and interpreted so that they are useful to teachers of elementary school mathematics. Among the areas that are highlighted are: (1) time allocation; (2) low achievement; (3) active teaching; (4)…