This study investigated the flexibility of 16 supervisors in implementing a developmental approach to supervisor-supervisee interaction during the postobservation conference. Specific objectives included determining: (1) if supervisors' diagnoses of supervisees' conceptual levels (CL) agreed with the Paragraph Completion Method (PCM) measurement…

Examples of high school case studies are used to illustrate prototypical mathematical images and the use of imagery in metaphoric and metonymic ways in mathematics. Discusses pattern imagery and other types of imagery as central components in a model of mathematical reasoning. (34 references) (MDH)

Focusing on the role of language in learning, this paper discusses schemata and symbolic thinking that help students learn from unfamiliar experiences. The first part of the paper introduces the idea of symbolic thinking by comparing students encountering new ideas with convention-goers making their way around a new city. The section suggests that…

A powerful way of understanding something new is by analogy with something already known. An analogy is defined as a mapping from one structure, which is already known (the base or source), to another structure that is to be inferred or discovered (the target). The research community has given considerable attention to analogical reasoning in the…