This article examines the level of understanding by children (six- to seven-year-olds) of the addition and equality symbols. The article reports that about half of the subjects were unable to write the mathematical expression of simple addition while they were able to do it verbally. (YP)

This article discusses the classroom use of discovery of number pattern. Provided are examples of a table of squares, multiplications of numbers, and algebraic expressions. (YP)

A theory is proposed for how students develop competence with the written symbols of decimal fractions. Competence is viewed as the cumulative and sequential mastery of four separate cognitive processes. The theory was tested with small groups of students, most of whom were able to acquire the first two processes. (MNS)

Discusses the problems of and some solutions presented by the American mathematics education reform movement. Describes ideas concerning criteria for curriculum, assessment, learning, teaching, and teacher education. Proposes several recommendations for a new agenda. (YP)

Discussed are the range and balance of learning activities in the classroom, including discussion of the various roles of the people involved. The analysis is based on records of observations of 174 mathematics lessons with students aged 12-14; microcomputer use was integrated as a teaching aid. (MNS)

Discussion of the use of electronic networks for learning activities highlights the Noon Observation Project in which students in various locations measured the length of a noontime shadow to determine the earth's circumference. Electronic pen pals are discussed, and the roles of the network and of the class are described. (LRW)

Documents changes in 2 elementary teachers' thinking about instruction in reading or math after 1.5 years as participants in in-service programs designed to promote constructivist teaching practices. Interviews conducted before and after the programs indicated that, over time, teachers gave stronger emphasis to inquiry as a component of a subject…

This article presents a group project that uses math, science, and art to help elementary school students explore the tones of music in their own world. The children make music out of their own telephone numbers, create a soda bottle and drinking glass band, and graph their own telephone numbers. (SM)

Presents tasks from the topics of calculus, statistics, non-Euclidean geometry, and probability to illustrate effective college mathematics teaching. Discusses some obstacles to change in college-level mathematics teaching and strategies to overcome those obstacles. (MDH)

Penrose tile patterns are created using regular pentagon-based rhombi. Provides instructions for assembling Penrose patterns, plus activities for secondary school students and preservice elementary teachers. Compares the two-dimensional process of placing pattern blocks to form Penrose patterns to the symmetries of crystals formed in nature.…

Offers seven criteria for developing mathematical thinking, plus suggestions for teaching and assessing students' progress that are compatible with each learning criterion. Provides evaluation sheets that help the teacher assess and grade students on the criteria. (10 references) (MDH)

Presents a sequence of hands-on activities to help students understand the concept of arithmetic mean and gain experience in using mathematical models. Students create models in the process of solving problems and communicate to the class the meaning attached to the models. (MDH)

Proposes the technique of group discussions in the learning of mathematics. Examines the teacher's role in creating an environment that encourages student participation; presents four techniques to initiate discussions in elementary school classes; and offers five attributes teachers need to develop in students for effective discussions. (MDH)

An action research project in (n=8) Welsh secondary schools found that participation in peer- and self-assessment involved students in a recursive, self-referential learning process supporting the development of metacognitive skills. The project developed approaches to teaching and assessing mathematical thinking skills in practical situations.…

Describes the Interactive Mathematics Program (IMP), a four-year program of problem-based mathematics that integrates algebra, geometry, and trigonometry with additional topics, such as probability and statistics, and uses calculator and computer technology to enhance student understanding. (MKR)