Presents an overview of the geometry findings of the Third International Mathematics and Science Study (TIMSS) and ways to use problems from the study to assess students' understanding of geometry. (ASK)

Presents a unit for fourth and fifth grades on fractions and mixed numbers in which students have to decrease and increase the number of servings of different recipes. Describes students' strategies for multiplying fractions, and discusses how the use of a ratio table facilitated their thinking. (ASK)

Recommends conducting interviews with students in order to grasp their understanding of fractions and provides interview questions. Presents results of a study using those interview questions and concludes student responses fell into three main categories: (1) described a mental image of an object; (2) drew a model of the fraction using a circle…

Reports on an 18-month investigation of a teacher's actions during class discussions in a second-grade classroom in which student disagreement was resolved by argumentation. Concludes that creating a classroom environment in which students struggle with their own learning requires that teachers understand the complex relationship between the…

Because traditional instruction ignores students' personal construction of mathematical meaning, mathematical thought development is not properly nurtured. Several issues must be addressed, including adults' ignorance of math- and student-learning processes, identification of math-education research specialists, the myth of coverage, testing…

Describes how to customize standard computer-software programs for use with elementary school students. Explains language-arts projects, especially the use of word processing; discusses children's procedures and attitudes; and describes the use of a draw program to create customized learning processes, particularly with mathematics. (LRW)

Estimated the impact of class size on instructional practices and the use of time in high school mathematics and science courses using data from the National Education Longitudinal Study. Findings reveal that class size has an impact on the use of class time, both instructional and noninstructional. (SLD)

Describes a study that explores the relationship between affective variables and mathematics achievement among high-risk students enrolled in developmental-mathematics courses. Finds that time taken from traditional instruction in college algebra to encourage persistence and problem-solving skills enhances spatial visualization, promotes…

Compared the effects of three cooperative-learning environments on Israeli seventh graders' mathematical problem solving (metacognitive training, direct strategy instruction, and neither). Pencil-and-paper testing assessed students' problem-solving abilities. Results indicated that students exposed to metacognitive training significantly…

Argues that, in all subject areas, assessment trends are moving toward teaching concepts rather than teaching facts, and toward application of information and skills. Discusses how rubrics are helpful in specifying what criteria student performance and proficiency levels should be evaluated. Offers three rubrics (problem solving, group oral…

A major cause of the difficulty undergraduate mathematics majors have with the transition from elementary to advanced mathematics courses is that advanced courses require students to understand how mathematics is created. Describes a course whose main purpose is to introduce students to the creative process in mathematics. The course consists of…

Compares exam scores in a pharmacy calculations course of 55 students in a traditional lecture format and 55 in computer-assisted instruction (CAI). Scores were similar before separation into groups and after six weeks of instruction by either method. The CAI program was easy to use and well received by students, and this group spent less time…

Suggests ways that schools and parents of young children with hearing impairments can work together to build math skills. Ideas for early math experiences that can be naturally included in everyday routines are presented in descriptions of five learning centers, focusing on logic and problem solving, time and money, fractions, conservation of…

In today's society, changes in technology have made estimation skills more important than ever in the development of mathematical power. Presents a schoolwide activity in which students participate in a mathematical contest on estimation. Concludes that, in devising their estimates, students have practiced their problem-solving and sense-making…

Presents a game called Push-Penny, played by pushing a coin and having it land on a line, used to teach students to develop intuitive feelings for the consequences of randomness, including data handling and the construction and use of tables and graphs. (ASK)