Examines operations of generalization, identification, discrimination, and synthesis in mathematical concept development from early childhood to late adolescence according to Vygotsky's theory of development. (MDH)

Examined perception of object unity in partial occlusion in 72 infants. Recorded how long subjects looked at a display of complete and incomplete rods. In test and control conditions, infants looked longer at broken rods than at complete rods, suggesting that infants' cognitive, visual, or attentional skills may be insufficient to support…

Psychologist Howard Gardner argues that schools fail because they do not confront often flawed childhood theories about the world that students bring to the classroom. He claims teachers must acknowledge, challenge, and build on such assumptions so students can internalize lessons taught in school and apply them outside the classroom. (SM)

Presents the portion of a larger study of A-level British students understandings of calculus that deals with ambiguities inherent in the phrases "tends to,""approaches,""converges," and "limit." Responses to two questionnaires indicate that the four phrases generate everyday connotations that are at odds…

Describes the Agam program, a 36-unit curriculum program to introduce students to basic visual concepts and that applies visual abilities and visual thinking to learning tasks. Describes two units at the third grade level, "Ratio and Proportion" and "Numerical Intuition," and makes observations of the students' learning. (MDH)

Divided into two parts, this article analyzes why some pupils feel reserve about instantaneous velocities and instantaneous flows. The second part relates reactions of pupils facing a problem that implicates the instantaneous rate of change. Describes some characteristics of this problem that enables the authors to explain its instructional…

Discussed is the importance of students being able to read and understand mathematics. The need for students to practice reading mathematics is emphasized. Discussions and homework are presented as examples of this needed practice. (KR)

Compares the reasoning capabilities of preservice elementary school teachers before and after their involvement in a remedial science program that incorporated instruction in basic conceptual knowledge with reasoning strategies about manipulation of variables and logical inference. Discussion of results emphasizes recurring logical fallacies. (22…

Demonstrates a laboratory to teach the concept of moment of inertia in which students are asked to identify four objects of equal mass sealed in unopenable containers by identifying the mass distribution of each object. Gives instructions to build an instrument to determine relative distribution of mass. (MDH)

Discusses the role of teacher questioning in the development of a child's concepts of and about mathematics. Proposes the development of mathematical concepts and procedures in problem-solving situations through questioning that engages student thinking and decision making. (MDH)

This study explored how one eighth grade girl learned about the structure of recursive programs in BOXER programing language. The method of impasse resolution was presented in detail and used both to understand how she constructed her understanding and as an empirical method to analyze her learning. (MDH)

Contends than an important dimension of multicultural religious education is the development of cognitive, affective, and behavioral characteristics consistent with cultural pluralism. Presents alternative views to traditional Western epistemology, focusing on postmodern feminist theories of learning. (CFR)

Maintains that educational reform is related directly to issues of creativity and critical thinking. Contends that the creative dimension of thinking is fostered best by joining it with the critical dimension. Includes a figure and eight basic conditions implicit in creative, critical acts of the mind. (CFR)

Described is the use of story telling as a context to introduce mathematical concepts by providing a model, offering problem-posing situations, stimulating investigation, and illustrating concepts. Examples of appropriate stories are given for the primary and low secondary levels. (MDH)

A study interviewed 6 grade-6 students after participation in 21 lessons on basic concepts of fractions and decimals to determine how different children construct rational number concepts. Discussed the formation of the key concept of equivalent fractions based on student responses to interview questions. (MDH)