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 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)

The relationship between intellectual ability, working method, and learning was investigated with simulations in both structured and unstructured learning environments. High- and low-intelligence college students' thinking-aloud protocols were analyzed on quality of working method. Results indicated that both intellectual ability and working…

Forms and characteristics of small group physics instruction in the Russian university are examined and in some cases, compared to those used in Britain. Topics discussed include the lecture method, classroom communication during lectures, postlecture discussion, specialized small-audience lectures, problem solving, individual research projects,…

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…

Examines the role of conflict resolution in addressing bias-related incidents and hate crimes. The author discusses how one organization, Children's Creative Response to Conflict, is working to teach conflict-resolution skills to students and teachers to reduce bias-related violence. Recommendations for the creation of bigotry-free school…

This article argues that the U.S. dissemination system in education is unresponsive to organizational improvement needs, and that development of this bias is exacerbated by political, organizational, and programmatic thrusts in federal agencies. It is suggested that systems in the Netherlands and Denmark could provide useful models for adapting…

Argues that critical thinking is best learned where fellow students respond and react as well as replicate and evaluate. Suggests methods and techniques for doing critical thinking. Discusses thesis formulation, concept application, judgments and conclusions, cause and effect relationships, criteria identification, structure and function,…

Describes a two-day program within a developmental mathematics course utilizing group-building exercises and initiative problems (problems with physical solutions) to foster communication, problem-solving skills, and math confidence. Presents results of student evaluations of program showing increased interest and confidence in mathematics, and…

Provided is a teacher's guide for a problem-solving activity that establishes a link between number patterns and geometry by focusing on the development of recurrence relations established when generating central polygonal numbers. Reproducible worksheets and a 3.0 BASIC program for the activity are given. (MDH)

The impact of personalizing mathematical word problems and rewording them for explicitness was tested with 68 second and 59 fifth graders. Second graders benefited from personalization and rewording in combination; fifth graders benefited from personalization, not rewording. Personalization makes problems more motivating and easier to represent…

Researchers developed an analysis system to evaluate teachers' classroom cases, hypothesizing that the way teachers defined and ordered the standard components of narratives would reflect their pedagogical beliefs. Inservice and preservice teachers wrote four case narratives. Self-evident differences emerged between groups in the structural and…

Presents a series of 13 activities to explore the mathematics of baseball. Activities examine the numerical measures of player statistics and team standings and the geometry of baseball. Discusses the use of computer spreadsheets and LOGO computer simulations to study the concepts embodied in the activities. (MDH)

Describes a program developed at City University of New York (CUNY) Medical School that was designed to facilitate learning and retention of difficult concepts and principles in first-year biology and chemistry courses. Topics addressed include small group interaction, cooperative learning, mastery learning, interactive technology, and information…