This study is part of a longitudinal study of 22 elementary school children observed over a 3-year time span in the classroom and in individual task-based interviews. Through the examination of videotaped structured clinical interviews of Marcia, the first in 1992 when she was 9 years old (4th-grade), this study seeks to draw inferences about her…

This study focused on the knowledge of six outstanding science students who solved an osmosis problem meaningfully. That is, they used appropriate and substantially accurate conceptual knowledge to generate an answer. Three generated a correct answer; three, an incorrect answer. This paper identifies both the accurate and inaccurate conceptions…

Counting books offer children the time and the tools to develop the understanding needed to solve problems. Stimulated by these books, children may use mathematic language and talk about mathematics as they get involved with materials to move and manipulate, as they use supportive aids found in illustrations, and as they interact with materials to…

In teaching students to write extended definitions it is essential for writing instructors to teach students the concept of criteria. Without such a concept students will never be able to write effective definitions on their own. The criteria they establish for a particular definition allow them to judge which items support their positions on an…

A study investigated the effectiveness of using a small-group discussion as the main vehicle for the construction of an initial representation of a problem that activates previously acquired knowledge. College students (N=39) were randomly assigned to either an experimental condition or a control condition and asked to brainstorm about a presented…

An alternative is suggested to conventional and propositional ways of thinking about curriculum matters. Curriculum theory is conventionally presented as statements of propositional knowledge even though the significance of tacit, non-propositional knowledge has been recognized in philosophy. It is suggested that attention be paid to how teachers…

The focus of this document is on students' understanding of symbolization processes in algebra, and specifically their understanding of semantically laden letters. In the first four sections, four inappropriate ways in which many college students use semantically laden letters are described. Evidence from clinical interview protocols demonstrate…

Seventy-one college general biology students were taught a unit in Mendelian genetics by the traditional lecture method. Emphasis was placed on meiotic formation of gametes, dominance, segregation, and independent assortment. The Punnett square model was used for all practice problems. While using this model, students were asked to: (1) identify…

This paper, which addresses the issue of representation as an internal construct corresponding to an external abstract configuration, attempts to extend A. A. DiSessa's phenomenological primitives to mathematics (particularly to the notion of circle). Various acceptations of the word representation are examined, using the notion of a circle as an…

This study investigated how students processed information obtained by reading a passage related to inertial reference frames. Two groups of 10th-grade students (one group consisting of students identified as potential National Merit Scholars and another consisting of students enrolled in level-I biology) read a science text passage and answered a…

Fifty-three deaf and thirty-three hearing college students observed a videotaped lecture followed by a 15 minute period of reviewing prepared class notes. Two days later, half of each group again reviewed the notes before taking a test measuring learning outcomes in four areas: recall, recognition, concept acquisition, and problem solving.…

The conceptual and problem solving skills of Hawaiian rural elementary school students in the Kamehameha Early Education Program were investigated by comparing the logical connecting rules of conjunction (red and triangle) to inclusive disjunction (red and/or triangle) with respect to Traditional problems (selection of attributes from 2 different…

This document provides abstracts of 20 research reports. Topics covered include: children's comprehension of simple story problems; field independence and group instruction; problem-solving competence and memory; spatial visualization and the use of manipulative materials; effects of games on mathematical skills; problem-solving ability and right…

CONCEPT FORMATION--AS IT IS AFFECTED BY SUBJECTS (NORMAL AND RETARDED), PROBLEMS (SIMULTANEOUS, SUCCESSIVE, AND SIMILARITY-DIFFERENCE), RESPONSES (MANUAL AND VERBAL), REINFORCEMENT (100 PERCENT AND PARTIAL REINFORCEMENT), AND STIMULI--WAS INVESTIGATED. ELEVEN SEPARATE EXPERIMENTS ARE DESCRIBED. IT WAS FOUND THAT--(1) CONCEPT ATTAINMENT IS…