Two major ways to view the numbers to 100 are counting by ones and grouping by tens and ones. Research suggests that early understanding of numbers comes from counting and that place value instruction cannot be hurried. (PK)

Presents three traditional problems from discrete mathematics with alternative solutions and discussion of those solutions. (PK)

Offers practical tips on teaching secondary mathematics topics. The ideas are classroom-tested approaches that offer new slants on familiar subjects. The topics discussed include the interpretation of mathematical symbolism in concrete terms, ellipses, and vectors. (PK)

One method (attributed to Archimedes) of approximating pi offers a simple yet interesting introduction to one of the basic ideas of numerical analysis, an iteration sequence. The method is described and elaborated. (PK)

Describes a study of the use of certain curriculum materials (SMP 11-16) with a third-year class of low attainers in mathematics. The study involved classroom observation and a student questionnaire. It was concluded that the materials were at least partially successful. (PK)

Describes an installation of Comprehensive Instructional Management System (CIMS), a management information system for the instruction of mathematics in a New York school system. Suggests that CIMS has yielded dramatic gains in mathematics performance. (PK)

Describes a remedial college course in intermediate algebra designed to improve student success rate. Suggests that the course was easy and inexpensive to implement and required a minimum of reorganization. (PK)

College students were asked to write equations using one of two sets of notational systems. Results indicate that the use of more explicit notation did not help problem-solving performance. (Author/PK)

Contains activities for grades 1 through 8 to develop skills in estimation. Designed to help students deal with numbers sensibly and acquire problem solving competency, the estimation activities involve measurement, telling time, computation, and problem solving. (PK)

Describes the theory and known influences on learned helplessness, particularly in the mathematics field, and discusses prevention and remediation with respect to this phenomenon. (PK)

Reports on a study to determine if having students write about the work required in doing three types of exercises from elementary algebraic fractions would affect the students' error patterns on quizzes. The study involved six developmental studies in elementary algebra classes. (PK)

Identifies and briefly characterizes various ways computers are entering the Soviet educational systems; indicates educational settings that have greatest computing potential; outlines skills to be taught and expected curriculum changes; discusses educational computing problems and advantages noted by Soviet educators; and discusses possible…

Fifth graders performed better than third graders on discovering the function rule relating two number pairs. Task difficulty and mode of presentation (graphic or symbolic) varied by function. The children seemed ready to relinquish a hypothesis in the face of disconfirming evidence. (MNS)

This study investigated the performance of 14 Hispanic and Anglo ninth graders on several problem-solving tasks, with the focus on the interplay of language-related factors in translating several mathematical statements expressing relationships among variables into mathematical equations. (MNS)

Research findings on the impact of language and studies with bilingual students learning mathematics are summarized. Suggestions for taking account of the influence of culture on learning, language switching, encouraging bilingualism, and supportive environments are discussed, with 13 implications presented. (MNS)