This study investigates children's metarepresentational competence with regard to listening to and making sense of simple sonic stimuli. Using diSessa's (2003) work on metarepresentational competence in mathematics and sciences as theoretical and empirical background, it aims to assess children's criteria for representational adequacy of graphical…

This study builds on two lines of research that have so far developed largely separately: the use of additive methods to solve proportional word problems and the use of proportional methods to solve additive word problems. We investigated the development with age of both kinds of erroneous solution methods. We gave a test containing missing-value…

Looking away from an interlocutor's face during demanding cognitive activity can help adults and children answer challenging mental arithmetic and verbal-reasoning questions (Glenberg, Schroeder, & Robertson, 1998; Phelps, Doherty-Sneddon, & Warnock, 2006). While such "gaze aversion" (GA) is used far less by 5-year-old school children, its use…

In a 3-year longitudinal, mixed-method study, 67 children in two schools were observed during literacy activities in Grades 1-3. Children and their teachers were interviewed each year about the children's motivation to read and write. Taking a grounded theory approach, content analysis of the child interview protocols identified the motivations…

Previous research (e.g., De Bock, 2002) has shown that--due to the extensive attention paid to proportional reasoning in elementary and secondary mathematics education--many students tend to overrely on proportional methods in diverse domains of mathematics (e.g., geometry, probability). We investigated the development of misapplication of…

Recent research has revealed the existence of intuitive representations strongly rooted in diverse knowledge domains and the difficulties of modifying those representations through instruction by means of conceptual change processes (Carey, 1995; Gopnik & Meltzoff, 1997; Vosniadou, 1994). According to some interpretations, these representations…

This interview study gathered information about the prior knowledge and thinking of kindergarten to third- graders regarding the supply of water, heat, and light to modern homes. Findings indicated that students possessed only limited and spotty knowledge about utilities in modern homes. Within general trends, there was evidence of growth in…

Documented differences in frequency and type of mathematical explanations during lessons in U.S., Taiwanese, and Japanese first- and fifth-grade classrooms. Found that explanations occurred more frequently in Japanese and Taiwanese classrooms than in U.S. classrooms. Typical explanations in Asian classrooms were more substantive than in U.S.…

Ten children, 5- to 9-years old, taught magic tricks to absent and present peers through tape-recorded and face-to-face instructions. Children's informative, descriptive, and persuasive speech was compared for absent and present peers, and effects of age, practice, and trick length were assessed. Results revealed skills for informative and…

Compared kindergartners', third graders', and undergraduates' understanding and attribution of randomness. Found that kindergartners' interpretations were deterministic or outside the determinancy-indeterminancy frame. Most third graders had some grasp of randomness; their interpretations were less dominated by false attribution of determinism…

Examined how high school students, in individual and peer conditions, process scientific information that contradicts what they believe, and assessed the contribution of this activity to conceptual change. Results indicated two processing approaches: (1) direct assimilation; and (2) knowledge building, suggesting that knowledge building as a…

Examined the influence of college students' expertise on use of multiple documents about a historical controversy. Found that strategies did not differ significantly across the groups of expert and non-expert students. However, evaluation of usefulness varied as a function of document type and students' expertise. Furthermore, novices and experts…

Tested three models of children's mathematics word-problem solving based on developmental differences in quantitative conceptual structures: (1) quantitative relations represented as ordered array of mental objects; (2) numbers represented on two tentatively coordinated mental number lines; and (3) numerical operations represented as objects on…

Two experiments examined the relationship between reasoning skills, student grade, ability, and knowledge levels. Findings were interpreted in terms of a two-component model: a knowledge-experiential component and the conventions of reasoning. Results indicated that consideration of the relation of reasoning to learning and to instruction…

Compared children's performance on initial-unknown and final-unknown problems involving the addition or subtraction of a single item. Found that although 4-year olds responded in a directionally appropriate way to the final-unknown problems but not to the corresponding initial-unknown ones, 5-year olds were able to respond appropriately to both.…