Shows that graphs can reveal much about feedback systems that formula conceal, especially as microcomputers can provide complex graphs presented as animations and allow students to interact easily with them. Describes feedback systems, evolution of the system, and phase diagram. (YP)

Describes the PrIME working group experience. Provides three problems on combination and typical answers from primary school students. Discusses some findings. (YP)

Outlines the "Project Hands-on Math" developed in Georgia. Describes the five objectives, developmental phases, implementation, and evaluation of the project. Lists concrete manipulative materials used in this project. (YP)

How children give meaning to problems solved by multiplying or dividing is considered. After showing two cases of children's understanding of multiplication problems, six recommendations for classroom practice are presented. (YP)

The Television Programming Challenge was designed for junior high school students to show applications of mathematics in the real world. Eight-member groups were paired to attend seminars on different skill areas, and then worked together to report on a television schedule. (MNS)

A case study of one child who had difficulty adding two- and three-digit numbers is given. Analyzing, diagnosing, and remediating the problem are each considered. (MNS)

Examines teacher mathematics anxiety as it relates to changes in student mathematics anxiety and achievement, teaching practices, and teacher characteristics. The Mathematics Anxiety Rating Scale was used for 31 teachers. Teacher mathematics anxiety correlated positively with whole-class instruction time and negatively with the number of students'…

Training with a self-instruction strategy was found to be effective in teaching addition and subtraction to 52 educable mentally retarded and learning-disabled children with arithmetic deficits. Sixteen of the children, who were categorized as impulsive, showed a more reflective cognitive style following the training. (Author/JDD)

Computer software with graphic representations of functions can teach algebraic concepts, or can blur or obscure concepts of great importance. Making good use and bad use of visual imagery are each discussed. Then a general theory of interpretation of graphs is proposed, and a list of examples is presented. (MNS)

The author defines and discusses the cognitive theory of constructivism as it relates to teaching mathematics. It is suggested that the philosophical and theoretical view of knowledge and learning embodied in constructivism offers hope that educational processes will be discovered enabling students to acquire deep understanding rather than…

The article discusses the classic problem: "Given an equilateral triangle and a point P inside the triangle, what is the sum of the distances from P to the three sides?" The problem is used to illustrate the generative nature of problem-posing using the heuristic "What happens if...?" (PK)

The authors argue that mathematics curricula and teachers should set as objectives the development of logical processes, concepts, and language. The teaching materials described in this article have been used to help second, fourth, and seventh graders become skillful in the use of logic. (PK)

The focus is on using the hundred chart to discover patterns, make predictions and generalizations, and visualize the number system in an organized manner. Four worksheets are on even-odd numbers (Levels 1-2), digits (Levels 3-5 and 5-6), and percentages (Levels 7-8). (MNS)

Discussed are trends in performance across the last three National Assessment of Educational Progress (NAEP) mathematics assessments for students in grades 7 and 11, and reports on indicators of instructional activity. The results suggest that achievement in mathematics has taken a modest upturn in the 1980s. (MNS)

Suggests what the mathematics curriculum in middle and secondary schools will be like in the year 2000. Looks at the preservice college or university preparation of mathematics teachers, and their role in the public schools. (SR)