Generalization is critical to mathematical thought and to learning mathematics. However, students at all levels struggle to generalize. In this paper, I present a theoretical analysis connecting Piaget's assimilation and accommodation constructs to Harel and Tall's (1991) framework for generalization in advanced mathematics. I offer a theoretical…

Prior research suggests that preschoolers can generalize object properties based on category information conveyed by semantically-similar labels. However, previous research did not control for co-occurrence probability of labels in natural speech. The current studies re-assessed children's generalization with semantically-similar labels.…

Issues emerging from instructional innovation are inevitable, yet basing any curriculum shift on a theoretical framework is paramount. This paper grounds the case-based pedagogy in three learning theories: behaviorism, cognitivism, and constructivism. The three theories are described and situated in relation to the case study method. An…

This paper presents a formulation of a constructivist perspective and shows how it is applicable to teacher education. (CM)

This operational theory of adult learning is based on the premise that learning is a problem-solving process involving attention, differentiation, structuring, integration, abstracting, and generalization. (Journal availability: Department of Adult Education, Kansas State University, Manhattan, KS 66506.) (SK)

A study was conducted to examine the process of the development of knowledge structures concerning events. Specifically, it investigated (1) the ways in which individuals build theories about events as they experience them; (2) the number of events an individual must experience, and how similar those events must be, before he or she begins to…

The terms generalization and abstraction are used with various shades of meaning by mathematicians and mathematics educators. Introduced is the idea of "generic abstraction" that gives the student an operative sense of a mathematical concept and provides a passage point in the process toward formal abstraction. (MDH)

The article presents a model of learning based on the four learning stages of (1) acquisition, (2) proficiency, (3) maintenance, and (4) generalization. The importance of directing instruction at the appropriate learning stage is stressed and examples are given. (DB)

Twenty-five children with specific language impairment (SLI) and 25 children with normal language (NL) were presented with novel vocabulary and bound-morpheme learning tasks. SLI children had significantly lower vocabulary learning levels and less ability to generalize bound morphemes than NL children. Results support the storage/access but not…

Two experiments examined children's early judgments about numerical relations. Found that children as young as three years old are already adept at reasoning about relations between sets, independently of their ability to form numerical representations. Results support the existence of protoquantitative schemas, or ways of thinking about relations…

Current teacher education is criticized, and suggestions are made for improvement. It is pointed out that an essential factor is missing from teacher education curriculum. This factor is the systematic translation of what is now known about human learning into teacher and learner behavior in the classroom. While the results of abundant research in…

Assessed effects on undergraduate students (N=54) of direct (induced affect) and generalized (covert rehearsal) cognitive-behavior coping skills programs for test anxiety. Found both training procedures significantly reduced test anxiety but that induced affect yielded largest anxiety decrease and greatest test performance improvement while covert…

Examines Krashen's Monitor hypothesis (claiming that no interface exists between acquisition and learning) and finds it inadequate due to the over-restrictive conditions necessary for its use. Alternative acquisition theories and ways in which to monitor under less restrictive conditions are also examined, and a communicative trigger is proposed…

One of the most important capacities which children employ when learning language is the capacity to generalize. A child who hears an utterance of a verbal expression while perceiving a particular object (or action, aspect, etc.) becomes normally able to apply the expression not only to this object but also to all those objects which, for him, are…