The processes by which conceptual knowledge is constructed during mathematical problem solving were studied, focusing on the cognitive activity of learners (i.e., the ways they elaborate, reorganize, and reconceptualize their solution activity). Underlying this research is the view that learners' mathematical conceptions evolve from their activity…

This paper outlines four principles for preparing multimedia instructional sequences and, where necessary, the experimental methods for applying the principles successfully. Covered first are the criteria for good terminology for unfamiliar objects, actions, and situations, with methods for deriving such terminology. In the next section guidelines…

Reading encompasses a wide range of verbal processes, among them such simple verbal processes as word decoding, letter recognition, name retrieval, and semantic access. The question is whether simple verbal processing differences are adequate to account for general reading ability differences. Across different verbal domains and different ages,…

This study investigated: (1) the relationship between the development of information processing capacity and certain Piagetian logical reasoning abilities; and (2) how the development of these cognitive abilities related to acquisition of certain measurement concepts. Forty first-grade children were individually administered tests of conservation…

Studies have shown that students, after having studied physics concepts and being familiar with them for an appreciable time, may nevertheless lack the ancillary knowledge needed to use such concepts reliably; correspondingly, they exhibit major misconceptions and errors. Provided in this paper is an analysis of the ancillary knowledge required to…

The hypothesis as to the atomic structure of any given substance is introduced in many physics and chemistry textbooks by conveying the idea of repetitive division of a given amount of substance, for example, by grinding, dissolving, or evaporating. The rationale for this approach is the assumption of students inferring that this process of…

One area explored in the second (in-depth) phase of the Learning in Science Project was "children's science," defined as views of the world and the meanings for words that children have and bring with them to science lessons. The investigation reported focuses on the concepts of "living" held by 32 students in four different…

One area explored in the second (in-depth) phase of the Learning in Science Project was "children's science," defined as views of the world and the meanings for words that children have and bring with them to science lessons. The investigation reported focuses on students' thinking regarding their views on friction. Students (N=47) were…

Based on the Kellian view of constructive alternativism (that the meanings of any idea are not fixed, but vary from individual to individual), this paper describes a technique for exploring school children's conceptions of common physical phenomena to allow science educators (1) to appreciate the alternative conceptions of their students and (2)…

This paper describes some of the correct, missing, and alternative conceptions which students possess related to the Gulf of Maine. Students (N=226) from grades 4, 8, and 11 were interviewed on 15 major concepts involving geology, physical and chemical oceanography, natural resources, ecology, and decision-making. The mean interview scores of the…

To control for interactions in learning research due to subjects' prior knowledge of the instructional material presented, an imaginary curriculum was presented with a computer assisted technique based on Carl Berieter's imaginary science of Xenograde systems. The curriculum consisted of a classification system for ten conceptual classes of…

The writing of five first grade children was studied to determine whether findings of a previous study regarding children's concept of story structure would be demonstrated in the children's original compositions. The weekly sessions during the study included individual or group prewriting discussions, drawing and active writing, modeling by the…

A media attribute approach was used in a study which hypothesized that compositional syntactic placement may bridge the processing link between the learner's cognitive capacity and the demands of a simple concept attainment task. Compositional syntactic placement refers to the relative horizontal position of the primary symbol or object within a…

This study focuses on the possible relationships between cognitive preference scores of algebra students and level of algebra, sex, and performance rank in algebra classes. The sample consisted of 162 students from a high school in the Denver area. The instruments used were the Cognitive Preference Test: Mathematics (Revised) (CPTM) and the…

Many elementary teachers who have taught time-telling skills would propose that the mathematical skills associated with time-telling are among the most difficult for young students to learn. This booklet was developed to relate some of the concepts of time to physical models, providing methods for isolating specific time-telling concepts within a…