Reports an example of one lesson from a sequence of lessons on fractions from a sixth grade class in which the teacher revises her plans after observing students' small-group work and interactions. The lesson illustrated the teacher's knowledge of mathematics, how students think, and how to observe that thinking. (MDH)

Describes the computer project for American Indian middle school students, "Four Directions Indian Beadwork Design," that uses familiar American Indian beadwork designs to help learn geometric and LOGO concepts. Discusses the instructional techniques used to teach the planning and constructing of LOGO designs made up of two or more…

Describes seven problems designed to enhance the development of four types of student communication in mathematics: (1) describing observations; (2) justifying solutions and solution processes; (3) documenting thinking; and (4) completing or creating mathematical problems. (MDH)

In college courses in statistics and computer programing, learning can be enhanced when students are required to express formulas and notations in writing. This approach helps improve concept formation, comprehension, problem solving, and ability to draw conclusions and interpretations. Attention to syntax and form is important. (MSE)

Describes a program to improve problem-solving skills of children by incorporating parents as partners in cooperative learning experiences with the children. Research results indicate that students working with parental partners displayed higher problem-solving ability on posttests than those not working with partners. (MDH)

Describes Thinking Mathematics, a research-based approach to teaching mathematics. Value is placed on thinking and communicating mathematically and using what is known to find the unknown. The program requires teachers to rethink their beliefs and assumptions about teaching and learning mathematics. Examples of program implementation are given.…

The use of strategies is an important part of mathematical thinking. Presented are several games that help develop the reasoning strategies of hypothesis making and testing, proving and disproving, looking for patterns, and simplifying a difficult task. (MDH)

Provides excerpts from videotaped dialogue between two third grade students and their interactions with their teacher while solving a counting problem to describe student thinking and communication during the task. Discusses the teachers' role in the dialogue and implications for classroom practice. (MDH)

Presents activities employing LOGO to help create situations that enable students to make meaningful cognitive connections while exploring mathematical relationships. Activities explore the concepts of angles and rotations, progressing from off-line to on-line activities with suggested extensions. (MDH)

Presents integrated activities for mathematics and biology appropriate for various levels from grades five through eight. Explores interesting aspects of human fingernails and hair growth and their mathematical relationship to time. Provides suggestions to integrate the activities with technology. (MDH)

Evaluated a five-month effort to prepare students with disabilities to move from a resource room into a regular classroom for math instruction. Preparation included use of curriculum-based measurement and transenvironmental programing. Results indicated that the experimental procedures contributed to students' positive attitudes and confidence.…

The first in a series of three articles, successful instructional materials from a 15-year software development effort are analyzed and characterized with special attention given to educational experiences intended to shape students' perceptions of the fundamental nature, interconnectedness, and usefulness of mathematics. The software programs…

A cooperative activity involving eight sixth grade students over five days focused on inventing static representations of motion. In generating, critiquing and refining numerous representations, strong metarepresentational competence was found. An intricate blend of the children's conceptual and interactional skills, their interest in and sense of…

Describes a three-week workshop involving 20 teachers and 40 female students, grades 3 through 8, who worked in small groups to use the LEGO TC logo program, an approach that integrates mathematics and science instruction. Discussion includes the impact of single-sex, small group work on student attitudes toward mathematics and science. (six…

Mechanical devices offer an alternative to computers to explore mathematical concepts in different curricula areas. Described is the discograph, a series of pulleys and wheels, that can be used to teach mathematical principles in pattern drawing, locus, rotation in geared systems, gearing, rotational symmetry, regular plane figures, decimal, and…