Reports results of interviews in which students were asked to illustrate three interpretations of fractions: a unit subdivided into equal-sized parts; a set subdivided into equal-sized parts; and a ratio. Two areas of difficulty in giving reasonable representations are discussed. Proposes teaching suggestions to overcome these difficulties. (MDH)

Cognitive theory and research are relevant to vocational education. Three theoretical perspectives underlie cognitive theory-based curriculum and instruction: information processing, knowledge structure, and social history. A review of these perspectives in vocational curriculum and instruction suggests that instruction supporting higher-level…

Reviews research on (1) schemata acquisition while learning mathematics and techniques for detecting schema in mathematics learners; and (2) assessment of the distribution of cognitive resources while learning mathematics that lead to the design of instructional techniques to facilitate schema acquisition. (26 references) (MDH)

Presents a study to examine the effects of a verbal teaching strategy versus a strategy providing instruction using activities and manipulatives in four seventh grade earth science classes with students of varying cognitive abilities (n=83). Results indicate that students with more cognitive structures perform better and that using manipulatives…

One hundred and forty students in grades 6 and 7 were asked to process 32 science statements. Half of the statements were consistent with their prior knowledge, whereas the remaining facts were inconsistent with it. Half of the students were instructed to read the sentences for understanding (reading controls). The remaining students were…