Concludes that mathematics uses symbols both as processes and concepts. The mathematically oriented student develops flexible ways of using them, but less successful students cling to the security of known procedures to get answers that are less suitable for thinking than flexible symbols which can also be considered as mathematical objects to be…

Illustrates distinctions among kinds of knowing. Distinguishes knowing-to from other forms of knowing, and explores implications of that distinction for teaching and learning mathematics. Proposes that knowing-to act in the moment depends on the structure of attention at the moment, and on what one is aware of. (Contains 75 references.)…

There is a great deal of narrative in play and also of play in narrative, especially in the narrative and play of young children. Part of the reason for this may be that they share an important pattern or structure in the way they work as mental instruments, "mimesis." Mimesis is a mode of representation in which the relation between the symbol…

To obtain a more complete understanding of personal epistemology this study examines two epistemic paradigms - ways of knowing (specifically connected knowing and separate knowing) and epistemological beliefs (specifically beliefs about knowledge structure, knowledge stability, learning speed, and learning ability). Participants were 107 college…

I show how a conversational process that takes simple, intuitively meaningful steps may be understood as a sophisticated computation that derives the richly detailed, complex representations implicit in our knowledge of language. To develop the account, I argue that natural language is structured in a way that lets us formalize grammatical…

This meta-analysis investigated the influence of assessment on the reported effects of problem-based learning (PBL) by applying Sugrue's (1995) model of cognitive components of problem solving. Three levels of the knowledge structure that can be targeted by assessment of problem solving are used as the main independent variables: (a) understanding…

Constructivist theory must choose between the hypothesis that felt perturbation drives cognitive development (the priority of felt perturbation) and the hypothesis that the particular process that eventually produces new cognitive structures first produces felt perturbation (the continuity of process). There is ambivalence in Piagetian theory…

Evolution by natural selection may be characterized as a system in which a large store of genetic information will persist indefinitely while it remains coordinated with its environment but will continuously produce small random variations that are tested for environmental effectiveness. In any environment, effective variations will persist while…

George Lakoff and Mark Johnson's theory of metaphor (1980, 1999) provides a basis for describing everyday cognitive structures using linguistic models and thus, making it possible to uncover both individual and collective patterns of thought and action. Lakoff and Johnson have not, however, developed a workable system for carrying out qualitative…

Shapiro and Stefkovich in their 2001 book on ethics propose a framework for examining ethical dilemmas. At the heart of this conceptualization is "the best interests of the student." Yet a review of the literature reveals this term is interpreted broadly and few systematic attempts have been made to define it. In response to this lack of clarity,…

This paper attempts to provide a theoretical framework for the use of intercultural allusion in narratives of transcultural identity. Identity is taken to be narrative in performance, one element of which, intercultural allusion, serves pragmatically to broker the transcultured subject's insertion into the host culture. The paper then shows how…

CSWE mandates the study of social welfare policy, its history, and its evaluation; thus, assignments that require students to select policy for study are common. Educators provide frameworks for analysis but may not address the prerequisite step of locating policy for study, so students flounder in government documents without the tools to…

When students ask for a study advice, many professors would say something like this: "Read carefully. Write down unfamiliar terms and look up their meanings. Make an outline. Reread each chapter." That's not terrible advice. Some scientists would say that professors left out the most important step: "Put the book aside and hide the notes. Then…

Mercer, N. (1995) coined the term interthinking to link the cognitive and social functions of group talk. Essentially, interthinking means using talk to think collectively, to engage with others' ideas through oral language. In this article I share four excerpts from small group interactive read-aloud sessions that were conducted with Grade 1…

How do the goals we once cherished but can no longer pursue relate to maturity? The authors asked adults who have experienced challenging life transitions to describe the life goals they once sought but no longer do and those goals that motivate their lives now. The authors conducted research which examines how adults' views of their lost and…