Mass balance (MB) reasoning offers a rich topic for examination of students' scientific thinking and skills, as it requires students to account for multiple inputs and outputs within a system and apply covariational reasoning. Using previously validated constructed response prompts for MB, we examined 1,920 student-constructed responses (CRs)…

Humans are sensitive to the properties of individual items, and exemplar models are useful for capturing this sensitivity. I am a proponent of an extension of exemplar-based architectures that I briefly describe. However, exemplar models are very shallow architectures in which it is necessary to stipulate a set of primitive elements that make up…

Newton's third law is one of the most important concepts learned early in introductory mechanics courses; however, ample studies have documented a wide range of students' misconceptions and fragmented understandings of this concept that are difficult to change through traditional instruction. This research develops a conceptual framework model to…

This study examined student actions, interpretations, and language in respect to questions raised regarding tabular, graphical, and algebraic representations in the context of functions. The purpose was to investigate students' interpretations and specific ways of working within table, graph, and the algebraic on notions fundamental to a…

Presents the results of three studies examining children's conception of the mind itself as an independent, active entity. Findings revealed a developing ability in children to interpret and produce statements personifying the mind and provided considerable evidence of children's movement toward a conception of the mind as an active agent…

In this research monograph, several areas of disparity between child and adult grammar are examined to discover at what ages the child, who is on the border of adult language competence, achieves a certain mastery of complex syntactic structures. Chapters include (1) a discussion of current notions on the nature of the linguistic process and a…