Students' mental models of diffusion in a gas phase solution were studied through the use of the Structure and Motion of Matter (SAMM) survey. This survey permits identification of categories of ways students think about the structure of the gaseous solute and solvent, the origin of motion of gas particles, and trajectories of solute particles in…

This study aimed to investigate the informal cognitive structures regarding "point" and "straight line"--two basic and undefined terms of geometry--in children registered in preschool--the previous step before in-class formal education process. The study was conducted with the participation of 50 children enrolled in nursery,…

The current study aims to explore how children explain the concepts of biology and how biological knowledge develops across ages by focusing on the structure and functions of the digestive system. The study was conducted with 60 children. The data were collected through the interviews conducted within a think-aloud protocol. The interview data…

The purpose of this study was to investigate the development of preservice science teachers' knowledge structures in the domain of oxidation and reduction chemistry. Knowledge structures were elicited through video-recorded semi-structured interviews before and after the unit of instruction, and analyzed using a visual flow map representation.…

Young people's knowledge of rights was examined through open-ended interview questions and detailed content analysis (N=169). Interviews were coded to assess development of knowledge about rights from childhood through adolescence. Results are reported for specific questions. Findings are related to developmental theory, research, and practical…

Propositions expressed by students during interviews prior to and after audiovisual instruction served as the basis for Concept Propositional Analysis (CPA) to assess cognitive structure. CPAs for two students are reported and aspects of Ausubelian principles are discussed. The method showed that new learning can be linked to previous…

Sixty elementary students with learning disabilities were interviewed about parallel domains of uncontested and contested knowledge on the topic of space, including questions of morality and questions of empirical law. Students clearly distinguished between uncontested and contested knowledge, suggesting that they are capable of working with…

Kindergarten (n=30) and grade 1 (n=15) students of contrasting socioeconomic backgrounds were interviewed to assess their knowledge of number word sequences and spatial patterns and their ability to recognize numerals and use counting to establish numerosity of visible and screened collections. Findings indicate greater variation in abilities…

Reports results of interviews in which students were asked to illustrate three interpretations of fractions: a unit subdivided into equal-sized parts; a set subdivided into equal-sized parts; and a ratio. Two areas of difficulty in giving reasonable representations are discussed. Proposes teaching suggestions to overcome these difficulties. (MDH)

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…

Written descriptions by students in grades 3-7 (n=274) of common 2-dimensional geometric shapes were examined to compare the level descriptors of the van Hiele Theory and the SOLO Taxonomy. Results indicate that descriptors associated with the SOLO Taxonomy more accurately describe the quality of student thinking. (MDH)

This paper describes a study of the connections between beliefs about mathematics, autonomy, and knowledge structures in mathematics. Assumptions underlying the study were (1) that students' beliefs and knowledge are constructs of the individual and play a dynamic role in the learning and doing of mathematics; and (2) that autonomy theoretically…