Explores the concept worksheet, which can help students identify and analyze important mathematical concepts and is a simple assignment that can be completed by students overnight. Four types of exercises are included: definition, web of attributes, examples, and nonexamples. (MKR)

Describes an exploratory investigation of blind children's concepts of number, substance, length, area, weight, and volume conservation. Six children totally without sight or with only light perception were pretested, taught, and posttested twice using tasks specifically adapted for tactual presentation of materials. The children showed increased…

Five investigations examined three- and four-year olds' conceptions of the relationship between pictures and their referents. Results indicated that preschool children have difficulty holding in mind the distinct properties of picture and real referent, just as they tend to confuse the literal and intended meanings of utterances. (TJQ)

A study concerned with factors that may affect three-year olds' acquisition of subordinate categories considered salience of the attribute or attributes that differentiate a subordinate category, presence or absence of linguistic input, and child characteristics. Correlational analyses pointed to a series of relationships between child…

Investigates numerical competence in five-month-old infants using a violation-of-expectation paradigm. Supports previous findings that young children possess not only the competence for limited numerical abstraction, but also the ability to carry out addition and subtraction operations. An alternative explanation, that infants' responses are based…

The relationship between epistemological beliefs and learned helplessness and between conceptual understanding and application reasoning in conceptual change learning were investigated for 212 high school science students. Results support the importance of epistemological beliefs in predicting conceptual change learning. Implications for science…

Discusses a concept-oriented calculus course as an alternative to a traditional skill-oriented calculus course. Two main ideas of conceptual calculus are visual conceptualization and receptive argumentation. Includes typical examination questions. (14 references) (MKR)

This paper considers the problem of variables, in particular parameters, analyzes how these concepts are presented in textbooks, comments on paradigms of exercises in which parameters intervene, and points out difficulties encountered by students. Discusses results of teacher interviews concerning their dealing with parameters in class.…

Presents a summary report of the Algebra Working Group's discussion subgroup on secondary algebra at the Seventh International Conference on Mathematical Education held in Quebec City, Canada in August 1992. Three appendixes include the reactions to the keynote addresses in this issue. (MKR)

Three studies investigated the influence of principle-based inferences and unprincipled similarity relations on new category learning by three- to six-year-old children. Results indicated that categorization into newly learned categories may activate self-initiated, principle-based reasoning in young children, suggesting that spontaneous…

Several examples illustrate the human tendency to underestimate the degree of uncertainty present in any theory about the nature of the world. The fallibility of conclusions must always be recognized by the researcher, who must continually challenge assumptions and rethink beliefs. (SLD)

Three qualities form the foundation of college-level learning: (1) conceptual knowledge--articulation of concepts, theories, and principles; (2) generalizable knowledge; and (3) courses traditionally taught in college--excluding secondary courses, noncredit programs, popular learning, and vocational courses. (SK)

The Competency Domain Model has five domains of management competencies: conceptual/creative, leadership, interpersonal, administrative, and technical. Specific competencies and training plans can be identified in each domain for different levels--first line supervisor, field office manager, assistant manager, area manager, director of operations.…

This article reports on a study of the spatial mapping skills of two totally blind, two visually impaired, and eight normally sighted children. Children were asked to point to familiar locations in and around their homes. Results suggest that blindness interferes with the development of spatial knowledge in which Euclidean directions between…

Presents findings of an analysis of Italian seventh grade students' understanding of capitalism and socialism. Reports that knowledge of the topics was rather poor. Concludes that students who had studied the topics more thoroughly had somewhat, but not substantially, greater understanding of capitalism and socialism. Calls for more research. (SG)